防災科学技術研究所研究資料

January 2009

第331号

Technical Note of the National Research Institutefor Earth Science and Disaster Prevention No.331

E-Defenseを用いた実大RC橋脚（C1-1橋脚）
震動破壊実験研究報告書-1970年代に建設された基部曲げ破壊タイプのRC橋脚震動台実験Large-scale Shake Table Experimenton a Component Model（C1-1model）Using E-Defense- Experiment on a RC Column Build in 1970s which Fails in Flexure -C1

独立行政法人

防災科学技術研究所
National Research Institute for Earth Science and Disaster Prevention, Japan

防災科学技術研究所研究資料 ల
第 331
331号
年 11 月ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬঩ၳ!
࣢! 20092009 ා
࠮

!
!

E-Defense ͬဥ̞̹৘ఱ RC ‫ݗޘ‬ȪC1-1 ‫ݗޘ‬ȫૼ൲෫ٟ৘ࡑࡄ‫ݪ‬༭࣬੥ !
Ƚ1970 ාయͅ࠺୭̯̹ͦ‫ܖ‬໐ެ̬෫ٟΗͼί͈ RC ‫ૼݗޘ‬൲ర৘ࡑȽ !
!

ֲ߃ఱൽ 1Ȇ‫ ֚ࢼࡔک‬1Ȇ୼ോ֚຃ 2Ȇऎș࿐౺ఱ 2Ȇ‫׋‬ષ࿆ਏ 3!
ɖ

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ी! ੓֚ 3Ȇࣞ‫ޘ‬ၻგ 4Ȇࢨऒࡋඵ 5Ȇ࿦໐ୃྶ 6!
!
!
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Large-scale Shake Table Experiment on a Component Model)C1-1model*Using E-Defense !
-Experiment on a RC Column Build in 1970s which Fails in Flexure- !
!
Hiromichi UKON 1, Koichi KAJIWARA 1, Kazuhiko KAWASHIMA 2, Tomohiro SASAKI 2,++++
Shigeki UNJOH 3, Junichi SAKAI 3, Yoshikazu TAKAHASHI 4, Kenji KOSA 5,+6
and Masaaki YABE
+

+

+

+

!
+1

Hyogo Earthquake Engineering Research Center,
National Research Institute for Earth Science and Disaster Prevention,
+2

+3

+4

Tokyo Institute of Technology

Public Works Research Institute

Disaster Prevention Research Institute, Kyoto University+5+6

Kyushu Institute of Technology

Earthquake Engineering Division, Chodai!
!
Abstract!
This report presents a 3D shake table experiment on a large scale reinforced concrete bridge column using
E-Defense. The model was a typical column built in 1970s which fails in flexure. Collapse of this type ofcolumns was one of the major sources of the extensive damage in 1995 Kobe, Japan earthquake. A 7.5m tall 1.8 m
diameter column model was excited twice using a near-field ground motion recorded during the 1995 Kobe
earthquake.! A preliminary analysis on the measured data including an analytical correlation is presented.
Key words : Bridges, Earthquake, Seismic design, Seismic retrofit, E-Defense, Shake table experiment!

ɖ1ඊၛ࣐ଽ༹૽! ཡब‫ݪࡄ੅ܿڠش‬ਫ਼! ໶ࡩఛૼࢥ‫ݪࡄڠ‬ΓϋΗȜ!
൐‫ުࢥނ‬ఱ‫ڠ‬ఱ‫ !֭ڠ‬ၑࢥ‫ !شݪࡄڠ‬ാ࿐ࢥ‫ࢲ୺ڠ‬ɖ3ඊၛ࣐ଽ༹૽! ാ࿐ࡄ‫ݪ‬ਫ਼ɖ4‫ނ‬സఱ‫ !ڠ‬ཡबࡄ‫ݪ‬ਫ਼ɖ5߇ਗࢥުఱ‫ڠ‬
ɖ6‫ڼ‬৆ٛ২! ಿఱ! ࢹ௮মު໐
!
ɖ2⋡   ᰴ
1. ߪߓ߼ߦ  ---------------------------------------------------------------------------------------------------------------------

4

1.1 ᯅ᪞⠴㔡ታ㛎⎇ⓥផㅴߩ⢛᥊  -------------------------------------------------------------------------------------

4

2. ᯅ᪞⠴㔡ታ㛎⎇ⓥߩ⋡⊛ߣផㅴ૕೙  ---------------------------------------------------------------------------------

4

2.1 ⎇ⓥ⋡⊛  ----------------------------------------------------------------------------------------------------------------

4

2.2 ታ㛎ߩ⒳㘃  -------------------------------------------------------------------------------------------------------------

4

2.3 ⎇ⓥផㅴ૕೙  ----------------------------------------------------------------------------------------------------------

5

3. C1-1 ᮨဳߩ․ᕈߣടᝄ᧦ઙ

--------------------------------------------------------------------------------------------

7

3.1 ᮨဳߩ⸳⸘  --------------------------------------------------------------------------------------------------------------

7

3.2 RC ᯅ⣉ᮨဳ⵾૞ߣታ㛎ⵝ⟎ߩ࠮࠶࠻ࠕ࠶ࡊ  ------------------------------------------------------------------

12

3.2.1 RC ᯅ⣉ᮨဳ⵾૞

-------------------------------------------------------------------------------------------------

12

3.2.2 ታ㛎ⵝ⟎ߩ࠮࠶࠻ࠕ࠶ࡊ  --------------------------------------------------------------------------------------

17

3.3 ⸘᷹  ----------------------------------------------------------------------------------------------------------------------

21

3.4 ౉ജ࿾㔡േ  -------------------------------------------------------------------------------------------------------------

28

3.4.1 ኻ⽎ߣߒߚ࿾⋚ߣ᭴ㅧ‛ߩࡕ࠺࡞ൻ  -----------------------------------------------------------------------

28

3.4.2 2 ᰴర FEM േ⊛⸃ᨆߦࠃࠆᯅ⣉-ၮ␆᭴ㅧ-࿾⋚♽ࡕ࠺࡞ߦࠃࠆടㅦᐲᔕ╵  -------------------

33

3.4.3 േ⊛⋧੕૞↪ࠍ⠨ᘦߒߚ౉ജ࿾㔡േߩૐᷫലᨐ  --------------------------------------------------------

34

3.4.4 ታᄢᯅ᪞᭴ㅧ‛㔡േ⎕უታ㛎ߢ↪޿ࠆ౉ജ࿾㔡േ  -----------------------------------------------------

36

3.5 ടᝄ᧦ઙ  ----------------------------------------------------------------------------------------------------------------

37

3.5.1 㔡േบߩ᭴ᚑ  -----------------------------------------------------------------------------------------------------37

  3.5.2 㔡േบߩ઀᭽  -----------------------------------------------------------------------------------------------------37

  3.5.3 㔡േบߩᯏེ㈩⟎ߣ⸘᷹ࠪࠬ࠹ࡓߩၮᧄ઀᭽  -----------------------------------------------------------40

  3.5.4 㔡േบߩടᝄࠪࠬ࠹ࡓ᭴ᚑ  -----------------------------------------------------------------------------------40

  3.5.5 C1-1 ታ㛎ߦ߅ߌࠆടᝄ᧦ઙ  ----------------------------------------------------------------------------------

41

4. ࿾㔡ᔕ╵․ᕈߣ⎕უ․ᕈ  ------------------------------------------------------------------------------------------------

47

 4.1 ᯅ⣉ᮨဳߩᝄേ․ᕈ  -------------------------------------------------------------------------------------------------

47

 4.2 ౉ജ࿾㔡േ  -------------------------------------------------------------------------------------------------------------

47

 4.3 ᯅ⣉ᮨဳߩ៊்ߩㅴዷߣ⎕უᒻᘒ  -------------------------------------------------------------------------------

47

 4.4 ᔕ╵ടㅦᐲ  -------------------------------------------------------------------------------------------------------------48

 4.5 ᔕ╵ᄌ૏  ----------------------------------------------------------------------------------------------------------------48

 4.6 ᮨဳᯅ⣉ߦ૞↪ߒߚᘠᕈജ  ----------------------------------------------------------------------------------------

49

4.7 ᮨဳᯅ⣉ߩ᳓ᐔജ㨪᳓ᐔᄌ૏ߩጁᱧ․ᕈ  ----------------------------------------------------------------------

49

 4.8 ߭ߕߺ  -------------------------------------------------------------------------------------------------------------------495. ࡈࠔࠗࡃ࡯ⷐ⚛⸃ᨆߦၮߠߊ࿾㔡ᔕ╵⸃ᨆ  ------------------------------------------------------------------------

76

 5.1 ᬌ⸛ࡐࠗࡦ࠻  ----------------------------------------------------------------------------------------------------------

76

 5.2 ⸃ᨆ᧦ઙ  ----------------------------------------------------------------------------------------------------------------76

  5.2.1 ࡕ࠺࡞ A  -----------------------------------------------------------------------------------------------------------76

  5.2.2 ࡕ࠺࡞ B  -----------------------------------------------------------------------------------------------------------

77

 5.3 ౣ⃻⸃ᨆ  ----------------------------------------------------------------------------------------------------------------78

  5.3.1 ࡕ࠺࡞ A ߩ႐ว  -------------------------------------------------------------------------------------------------78

  5.3.2 ࡕ࠺࡞ B ߩ႐ว  -------------------------------------------------------------------------------------------------

79

6. ߹ߣ߼  ------------------------------------------------------------------------------------------------------------------------

92⻢ ㄉ  ----------------------------------------------------------------------------------------------------------------------------

93ෳ⠨ᢥ₂  -------------------------------------------------------------------------------------------------------------------------

93㑐ㅪ⊒⴫⺰ᢥ  -------------------------------------------------------------------------------------------------------------------

94ⷐ ᣦ  ----------------------------------------------------------------------------------------------------------------------------

96㧨ᷝઃ 1㧪ᯅ᪞⠴㔡ታ㛎⎇ⓥಽ⑼ળᆔຬฬ★  --------------------------------------------------------------------------

97㧨ᷝઃ 2㧪ᯅ᪞⠴㔡ታ㛎⎇ⓥታⴕㇱળᆔຬฬ★  -----------------------------------------------------------------------98㧨ᷝઃ 3㧪ᯅ᪞⠴㔡ታ㛎⎇ⓥታⴕㇱળࡢ࡯ࠠࡦࠣ࡞࡯ࡊᆔຬฬ★  -----------------------------------------------

99

㧨ᷝઃ 4㧪ታ㛎ⵝ⟎㧘RC ᯅ⣉ᮨဳ៊்౮⌀╬ࠞ࡜࡯࿑101

  -----------------------------------------------------------‫ޣ‬ၫ╩ᜂᒰ‫ޤ‬╙ 1 ┨ ᧲੩Ꮏᬺᄢቇ    Ꮉፉ ৻ᒾ╙ 2 ┨ 㒐ἴ⑼ቇᛛⴚ⎇ⓥᚲ ฝㄭ ᄢ㆏╙ 3 ┨ 㒐ἴ⑼ቇᛛⴚ⎇ⓥᚲ ᫃ේ ᶈ৻㧘ฝㄭ ᄢ㆏ᩣᑼળ␠ 㐳ᄢ   ⍫ㇱ ᱜ᣿╙ 4 ┨ ᧲੩Ꮏᬺᄢቇ    Ꮉፉ ৻ᒾ㧘૒‫ ᧁޘ‬ᥓᄢ    ࿯ᧁ⎇ⓥᚲ     ㆇ਄ ⨃᮸㧘႓ ᷕ৻    ੩ㇺᄢቇ      㜞ᯅ ⦟๺    ਻ᎺᎿᬺᄢቇ    ᐘᏀ ⾫ੑ╙ 5 ┨ ᧲੩Ꮏᬺᄢቇ    Ꮉፉ ৻ᒾ㧘૒‫ ᧁޘ‬ᥓᄢ    ࿯ᧁ⎇ⓥᚲ     ႓ ᷕ৻╙ 6 ┨ ᧲੩Ꮏᬺᄢቇ    Ꮉፉ ৻ᒾ

防災科学技術研究所研究資料 ల
第 331
331号
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬঩ၳ!
࣢! 20092009 年
ා 11 月࠮

1.! ͉̲͛ͅ!
!
! ৘ఱ२ষࡓૼ൲෫ٟ৘ࡑঔ୭Ȫո‫ئ‬ȄE-Defense ͂ࡤ͐ȫ͉Ȫඊȫཡब‫ݪࡄ੅ܿڠش‬ਫ਼̽̀͢ͅ໶ࡩࡇ२࿐ঌͅ࠺
୭̯̹ͦଲ‫ٮ‬डఱड‫͈ޑ‬૦൲ర̜́ͥȅ E-Defense ͬဥ̞̹‫ޘ‬ၴ͈ఛૼ৘ࡑࡄ‫͉́ݪ‬Ȅ1ȫRC ‫͈ࠏݗޘ‬ఛૼ଻ͬ࠿൦̳ͥࡄ‫ݪ‬ίυΈρθȪ΋ϋεȜΥϋΠ࿅߿৘ࡑȄո‫ئ‬ȄC1 ৘ࡑ͂ࡤ͐ȫ͂Ȅ2)‫ޘ‬ၴ͈ಈষ෫ٟ࢘‫࠿͈ض‬൦͞ΘϋΩȜȄ૧߿၂‫ޘ‬ཡগࢹ௮൝͈අ଻൝ͬ࠿൦̳ͥࡄ‫ݪ‬ίυΈρθȪ‫ޘ‬ၴΏΑΞθ৘ࡑȄո‫ئ‬ȄC2 ৘ࡑ͂ࡤ͐ȫ̥ͣࢹ଼̯̞ͦ̀ͥȅC1 ৘ࡑ́ഘ޼΋ϋ·ςȜΠ‫ݗޘ‬ȪRC ‫ݗޘ‬ȫ̦৾ͤષ̬̞͈͉ͣͦ̀ͥȄ໶ࡩࡇධ໐౷
ૼͥ͢ͅ๭‫৽͈ٺ‬ါ̈́ࡔ֦̦ RC ‫͈ݗޘ‬๭‫͈ͥ͜͢ͅٺ‬̜̹̭́̽͂ͥ͢ͅȅC1 ৘ࡑ͉́Ȩ̺̫̏́ͥ৘ఱܰ࿅
ͅ߃̞࿅߿ͬဥ̞̀ RC ‫͈ݗޘ‬෫ٟඅ଻ͬ࠿൦̳ͥ͂൳
শͅȄ࡛ह͈୭ࠗ‫ܖ‬੔́࠺୭̯̹ͦͤȄఛૼ༞‫̹̯ͦޑ‬RC ‫͈ݗޘ‬ఛૼ଻͈࠿બ̦‫̞ͥ̀ͦ͘܄‬ȅུ༭࣬੥͉́Ḙ͈̠̻̏ C1-1 ৘ࡑࠫ‫ٽ͈ض‬ါͬা̳ȅC1-1 ৘ࡑ͉ȄE-Defense ͬဥ̞̹‫ޘ‬ၴͅచ̳ͥड੝͈৘
ࡑ̱͂̀Ȅ ໹଼ 19 ා 12 ࠮ 13 ඾ͅ৘ঔ̯̹͈ͦ́͜Ȅ1970 ාయͅ࠺୭̯̹ͦެ̬෫ٟ୶࣐߿͈ RC ‫͈ݗޘ‬၎Ⴄඅ଻Ȅ෫ٟඅ଻ͬࡄ‫ݪ‬చય̱̞͂̀ͥȅ৘ఱܰ࿅͈࿅߿
ͬဥ̞̀ȄεΑΠάȜ·ͬ‫͚܄‬๱஌ࠁႀ֖͈‫ݷ‬൲ͬ 3 ষࡓ౷ૼ൲වႁ͈‫́ئ‬૦൲రͬဥ̞̀‫ح‬૦৘ࡑ̱̹႕͉Ȅ̴ِ̦࣭͈͙̈́ͣ੨‫̩̞̤࣭̈́̀͜ͅٸ‬Ȅ‫ޘ‬ၴ͈ఛૼܿ
੅ࡄ‫͈ݪ‬Ⴄঃͅ૧̱̞֚βȜΐͬ‫࡞ً̀̽͜࡞̹̞͂ٳ‬͉̞́̈́ȅਲြȄ৘ࡑঔ୭͈ଷ࿩̥ͣȄੀ઀࿅߿ͬဥ̞̀‫ڎ‬ਅ͈ଷ࿩ૄ࠯͈‫̧̦̹̀ͦͣ͛ૺ̦ݪࡄͅئ‬Ȅ଱༹࢘‫͉ͬض‬̲̱͛͂̀Ȅ৘ࡑࠫ‫͈ض‬ٜ৷ٜ͞ଢ଼κΟσ͈࠿બͅ‫ڎ‬ਅ͈‫ه‬ఴͬ༴̢̞̹̀ȅˡ-Defense ͬဥ̞̭ͥ͂̽̀͢ͅḘ͈̏ͦͣଷ࿩ͬఱ̧̩۱͛̀ࡄ‫̧̦̭ͥ́͂ͥ͛ૺͬݪ‬̠̹̭͉̈́̽͂͢ͅȄࣽࢃ͈ఛૼܿ੅‫ٳ‬อͅఱ̧̩࣓ࡃ
̳ͥ͂‫ܢ‬ఞ̯ͦͥḙ͈̏༭͉࣬Ȅ࡛শത̤̫ͥͅ C1-1 ৘ࡑࠫ‫ॻͬض‬೰എ̹͈̜͂ͤ͂͛́ͥ͘͜ͅȅ677 ଼໦ͅ‫͐ݞ‬ཛྷఱ̈́৘ࡑ
ΟȜΗ͈ٜଢ଼͉࡛ह̺͘‫נ‬փૺ࣐ಎ̜́ͤȄ࡛ે͉́͘
̷̺̤̤͈͢ႊ‫̦ڜ‬຾̥͍ષً̧̨̦̹̞̽̀̈́ͅȅࣽࢃȄ̯ͣͅ‫༷ڎ‬࿂̥͈ͣ࠿൦ͬ‫̢ح‬ȄRC ‫͈ݗޘ‬෫ٟι΃ΣΒθͅ‫̩̞̀͛ૺͬݪࡄ̳ͥ۾‬ထ೰̜́ͥȅ!
1.1!‫ޘ‬ၴఛૼ৘ࡑࡄ‫ݪ‬ଔૺ͈෸ࠊ!
1995 ා͈໶ࡩࡇධ໐౷ૼȄ1989 ා͈υζίςȜΗ౷ૼȄ
1994 ාΦȜΑςΛΐ౷ૼ͉̈́̓́Ȅസঌඤࣞ௸ൽႹ͞സ
ঌ‫͐ࠫͬۼ‬ൽႹȄ‫ޘ‬ၴͅଃఱ̈́๭‫ͬٺ‬ဓ̢Ȅ࢐೒ࠏρͼέρͼϋ͈‫ܥ‬ෝͬఱ̧̩అ̵̹̈́ͩ[2.2.1]ȅ‫ޘ‬ၴ͉സঌ͞౷֖ͬࠫ͐୆ྵ஌̜́ͤȄ‫ޘ‬ၴ͈๭‫ͤ͢ͅٺ‬୆̲ͥ࢐೒ࠏρͼέρͼϋ͈ఱ໙̈́‫ܥ‬ෝ೩‫͉ئ‬Ȅ౷ૼೄࢃ͈๰ඳȄ޽‫ݢ‬৬ၰ͈೒࣐Ȅૼबࢃ͈໘‫ڰݰ‬൲൝ͅਹఱ̈́‫ͬޣג‬ဓ̢Ȅ࣭ྦྷ͈୆ྵ़͂ॲͬ‫̜͈̳̥ͥ́͜ޞ‬ḙ͈̏ͦͣ౷
ૼ๭‫͈ٺ‬ఉ̩͉Ȅ‫ݗޘ‬Ȅඅͅ RC ‫́ݗޘ‬อ୆̱̞̀ͥȅRC ‫͈ݗޘ‬ఛૼ଻͈࠿બ͈̹͛ͅȄୃ໅࢐๔श‫ك‬৘ࡑ͞૦൲ర‫ح‬૦৘ࡑ̦඾ༀၰ࣭́ఉତ̧࣐̹ͩͦ̀ȅ̱̥̱Ḙ͈̏ͦͣ৘ࡑ͉৘ࡑ௡౾͈ଷ࿩̥ͣȄ઀߿࿅߿ͥ͢ͅ࠿
൦ͅၣ̤̽̀ͤ͘Ȅ৘ఱܰ࿅͈‫ͬݗޘ‬ဥ̞̹෫ٟ࡛ય͈
ٜྶ̦‫̧̜̭̹ͥ́ͧ͂̀ͦͣ͛ݥ‬ȅ̹͘Ȅષ໐ࢹ௮͈
๭‫͉́ٺ‬Ȅࠥ‫ۼ‬઩ඏ͞၂‫ޘ‬ཡগࢹ௮൝̦ໝॠͅ‫̹̱ޣג‬Ȅ̞ͩͥ͠ૺ࣐଻෫ٟ̦อ୆̱̤̀ͤḘ͈ٜ̏ͦͣྶ͜ਹ
ါ̈́‫ه‬ఴ̜́ͥȅ̱̥̱Ȅ࡛ય̦ໝॠ̜́ͤȄਲြ͈઀߿࿅߿͉́਱໦̈́࠿൦̢̦࣐̞̈́ે‫̜ͥͅޙ‬ḙ̞̏ͦͣ̾̀͜ͅȄͤܰ͢࿅ͬ‫ڐ‬ఱ̱̹৘ࡑࡄ‫͈ݪ‬৘ঔ̦‫ͣ͛ݥ‬̞ͦ̀ͥḙ͈̏ͦͣ‫ه‬ఴͬ෸ࠊ̱͂Ȅȶ ‫ޘ‬ၴ͈ఛૼ৘ࡑࡄ‫ݪ‬ȷ͉́ȄRC ‫͈ݗޘ‬ఛૼ଻ͬచય̱͂ȄE-Defense ͥ͢ͅ৘ఱͬ‫܄‬͚৘ࡑ͈৘ঔͬ࿒ঐ̳̭̱̹͂͂ȅࡄ‫͈ݪ‬ଔૺ͉́Ȅༀ࣭ ͈ ȶ The Gorge Brown Jr. for Earthquake Engineering
Simulationȷ(NEES)͈ࡄ‫ݪ‬ঔ୭߲͈͂௖ࡽႲࠈ͈ఘଷͬ
ା̢̾̾Ȅ࿒എ̱͂̀ȄRC ‫͈ݗޘ‬෫ٟඅ଻͈ٜྶȄఛૼ଻ෝ͈࠿બ࣐̠ͬ͂͂͜ͅȄΟȜΗ͈ಇୟȆ࢖‫ͬٳ‬࿒ঐ̳ḙ͈̏ͦͣΟȜΗ͉Ȅࣽࢃ͈‫ޘ‬ၴ͈ఛૼ଻࢜ષ࣓ͅ
ࡃ̳ͥఉ̩͈৘ࡑࡄ‫͈ݪ‬४ࣉ̈́ͥͅΟȜΗȄ̞ͩͥ͠ࡔ
‫ܕ‬ΟȜΗ̭͂̈́ͥ͂ͬ‫ܢ‬ఞ̱̞̀ͥȅ!
!
2.! ‫ޘ‬ၴఛૼ৘ࡑࡄ‫͈ݪ‬࿒എ͂ଔૺఘଷ!
!
2.1!ࡄ‫ݪ‬࿒എ!
! ఱ߿‫ޘ‬ၴఛૼ৘ࡑْ̳ͬࠗͥͅ൚ͤȄո‫͈ݪࡄͬئ‬࿒എ̱̹͂ȅ ৘ࡑ͈ਅ႒͂࿒എͬນ 2.1.1 ͂͛̀͘ͅা̳ȅ1ȫਲြȄ৘ࡑ௡౾͈ଷ࿩̥ͣ਱໦̈́࠿൦̦੄ြ̥̹̈́̽
෫ٟ࡛ય͞ໝॠ̈́౷ૼ؊൞͈ٜྶȅ
2ȫ໶ࡩࡇධ໐౷ૼ́๭ब̱̹‫ޘ‬ၴ͈෫ٟι΃ΣΒθ͈ٜྶ࡛͂ह͈ఛૼ༞‫੅ܿޑ‬Ȅఛૼ୭༹͈ࠗခ࢘଻͈৘બḙ͈̏ಎ͉ͅȄ࡛ह͈ఛૼܿ੅́࠺୭̯̹ͦ‫ޘ‬ၴ͈ఛૼဒ
ဉഽ͈࠿൦ͬ‫͚܄‬ȅ
3ȫఛૼ଻͈࢜ષͬ଎̹͈ͥ͛ষଲయ߿ఛૼܿ੅͈‫ٳ‬อȅષܱ͈ଔૺ͉́ȄNEES ͂ E-Defense ͈‫ފ‬ႁ‫ͬ߸۾‬঵̽̀৘ঔ̱Ȅ৘ࡑْ͉ࠗȄༀ࣭௰͈ E-Defense ৘ࡑ͈͒४
ْͬࡉନ̢̀Ȅༀ௰ࡄ‫ݪ‬৪͂਱໦̈́Ⴒࠈ࣐̠ͬȅ̹͘Ȅུࡄ‫͈ݪ‬ଔૺً೾́Ȅ඾ུ௰͈৹਀ࡄ‫ݪ‬৪଼͈֗͜ͅ෻
ၪ̳̭̱̹ͥ͂͂ȅ
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2.2!৘ࡑ͈ਅ႒!
໶ࡩࡇධ໐౷ૼ̤̞̀͜ͅఉ̩ࡉ̹ͣͦ RC ‫͈ݗޘ‬అੱκȜΡͬ໦႒̳ͥ͂ո‫͈ئ‬೒̜ͤ́ͥ[2.2.1]ȅ
1ȫಔ౷๕࿂պ౾͈ެ̬෫ٟȇ๭ͤ΋ϋ·ςȜΠ͈༲၂Ȅ৽ഘ޼͈जߠȄ΋ͺ΋ϋ·ςȜΠ͈գٟȅ
2ȫಔ౷๕࿂պ౾̵͈ͭ౯෫ٟ
3ȫެ̵̬ͭ౯෫ٟȇ̵๊֚ͭͅ౯ఛႁ͂ެ̬ఛႁ̦߃୪
̱̞̀ͥ໐ऺ࡛ͦͥͅκȜΡȅ৊ႁͬ঑঵̳ͥ‫ܥ‬ෝͬி৐ȅ
4ȫ౲၂̱໐̵͈ͭ౯෫ٟȇࡐಠ̈́০͍͛͌‫ͦͣࡉ̦ͦڬ‬͈̦ͥඅಭḙ͈̏෫ٟκȜΡ๊͉֚ͅୖ଻എ̈́‫ݷ‬൲ͬা̱Ȅ৽ഘ޼͈ࣛ໖ոஜͅ০͍͛͌‫ͬͦڬ‬อ୆ȅ৊ႁͬ঑঵̳ͥ‫ܥ‬ෝͬி৐ȅ4

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮

2.3 ࡄ‫ݪ‬ଔૺఘଷ!
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼͉Ȅ‫ޘ‬ၴ͈ఛૼ৘ࡑࡄ‫ͬݪ‬ଔૺ̳̹ͥ͛ͅȄ৘ࡑࡄ‫ͬݪ‬ଔૺ̳ͥ໦‫ش‬ٛ͂৘࣐໐ٛͬழ૕
̱Ȅ࣭ඤ͈ခে৪ͤ͢ͅ৘ࡑࡄ‫ͬݪ‬ଔૺ̱̞̀ͥȅ̷̸͈ͦͦ࿨‫͉ڬ‬ո‫̜ͥ́ئ‬ȅ1) ‫ޘ‬ၴఛૼ৘ࡑࡄ‫ݪ‬໦‫ش‬ٛ඾ༀ‫ވ‬൳ࡄ‫ޘ̱̀͂ݪ‬ၴ͈ఛૼͅ‫̳ͥ۾‬৘ࡑഎࡄ‫ͬݪ‬ଔૺ̱̞̩̹͈̀͛஠ఘ಺ାȄ‫ޘ‬ၴఛૼ৘ࡑࡄ‫ݪ‬৘࣐໐͈ٛࡄ‫ڰݪ‬൲͈͒੩࡞̤͍͢ບ‫ث‬Ȅ‫ޘ‬ၴ͈ఛૼ଻ͅ‫ͩ۾‬ͥࡄ‫ݪ‬΋ηνΣΞͻ͈͂Ⴒࠈ̤͍͢ఈ‫́۾ܥ‬৘ঔ̯ͦ̀
̞ͥ‫ޘ‬ၴ͈ఛૼ଻ͅ‫ݪࡄ̳ͥ۾‬ίυΐͿ·Π͈͂Ⴒࠈͬ
௯ૺ̳̭ͥ͂ͬ࿒എ̳͂ͥȅ2) ‫ޘ‬ၴఛૼ৘ࡑࡄ‫ݪ‬৘࣐໐ٛ‫ޘ‬ၴ͈ఛૼ଻ͅ‫̳ͥ۾‬৘ࡑഎࡄ‫ߓͬݪ‬ఘഎͅଔૺ̳ͥ
̭͂ͬ࿒എ̳͂ͥḙ̭͉̏́ȄE-Defense ࣐̠́৘ࡑ͈ࠗ
ْȄদࡑఘॽအȄවႁ౷ૼ൲൝̞݈̾̀͜ͅა̯ͦࠨ೰
̯ͦͥȅ! ུડͅা̱̹ࡄ‫ݪ‬࿒എȄࡄ‫ْࠗݪ‬൝͉Ḙ͈̏৘࣐໐ٛ
݈̀ͅა̯ͦૺ̞͛ͣͦ̀ͥඤယ̜́ͥȅ
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5ȫષ໐ࢹ௮͉́Ȅً͈ࠥఱ̈́֊൲Ȫ‫଻۝‬ႁȫͤ͢ͅȄ૝ੀ௡౾͈෫అȄ঑ઇ͈෫అȄ͈ࠥ঑ઇ̥͈ͣ၂‫ئ‬Ȅ̠̱͈ࠥ̓઩ඏȄ͈ࠥ‫̴ͦ؍‬Ȅ၂‫ޘ‬ཡগࢹ௮͈෫అȄ͈ࠥ၂‫̦̓̈́ئ‬อ୆ȅ! ̭͈ͦͣমયͬ൩̢͘Ȅ‫ޘ‬ၴఛૼ৘ࡑ͉́ȄRC ‫ݗޘ‬ͅ಍࿒̱̹ 2 ͈̾৘ࡑ͈ਅ႒ͬ୭೰̱৘ঔ̳ͥȪນ 2.1.1ȫȅ
1 ͉̾ȄRC ‫͈ݗޘ‬෫ٟඅ଻ͅ಍࿒̱̹‫ޘ‬ၴ΋ϋεȜΥϋΠ৘ࡑȪC1 ৘ࡑȄৢ૯ 2.1.1, ນ 2.1.2ȫȄ̠͉֚̾͜‫ޘ‬ၴ͈ΏΑΞθ̱͈͂̀ૺ࣐଻෫ٟඅ଻໼͍ͅ૧ఛૼܿ੅͈
‫ٳ‬อͬ࿒ঐ̱̹‫ޘ‬ၴΏΑΞθ৘ࡑȪC2 ৘ࡑȄ଎ 2.1.1ȫ
̜́ͥȅ2007 ාഽȡ2009 ාഽ̤̞͉̀ͅ C1 ৘ࡑͬ৘ঔ
̱Ȅ2010 ාഽͅ C2 ৘ࡑͬ৘ঔ̳ͥထ೰̜́ͥȅ
C1 ৘ࡑ͉ૼ൲రષͅ 2 ࠂ‫ޘۼ‬ၴ࿅߿ͬࢹಃ̱̀৘ঔ
̳ͥȅE-Defense ͈৘ࡑ͉́দࡑ‫ ͈ݗޘ‬RC ‫͉ݗޘ‬৘໤ఱ̱͂Ȅ௖যၙͬ୭೰̵̴ͅȄ৘ࡑΟȜΗ̦ήτȜ·ΑσȜ̧͈̳́ͥ͂ͥ͜ȅ༷֚ȄC2 ৘ࡑ͉Ȅૼ൲రષͅఉ
ࠂ‫ޘۼ‬ၴ࿅߿ͬࢹಃ̱Ȅ૝ੀ௡౾Ȅ঑ઇȄ၂‫ޘ‬ཡগ௡౾ȄΘϋΩȜ൝ͅ಍࿒̱̹৘ࡑ̜́ͥȅૼ൲రષͅ৘໤ఱ͈
ఉࠂ‫ޘۼ‬ၴ࿅߿͈୭౾͉ະ‫خ‬ෝ̜̭̥́ͥ͂ͣȄ࿅߿‫ޘ‬ၴ͈୭ࠗͅ൚͉̽̀Ȅ௖যၙͬ୭೰̳̭ͥ͂̈́ͥͅȅC2৘ࡑ̞͉̾̀ͅȄ࡛ह࠿൦ಎ̜́ͤȄમळ̈́৘ࡑඤယ͉
೰̞̞̽̀̈́͘ȅ


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5

防災科学技術研究所研究資料
第 331号ა໲ΗͼΠσȜಠ৪ྴ2009 年 1 月!
ນ2.1.1    ৘ࡑਅ႒͂࿒എ 
Table 2.1.1 The objectives of the C1 experiment and the C2 experiment.
1)The failure mechanism of RC columns which failed during 1995 Kobe earthquake
The C1experiment2)The effectiveness of standard seismic retrofit measures for existing RC columns3)The seismic performance of RC columns designed in accordance with the current design requirements
4)The seismic performance of RC columns designed based on the current design requirements understronger than the current code specified ground motions5)The effect of new damper technology

The C2experiment1)The progress failure mechanism of bridge system due to combination of poundings and rupture of
expansion joints, bearings, restrainers and columns2)Seismic performance of advanced and critical columns3)Effectiveness of advanced dampers and energy dissipating units
4)Effectiveness of advanced unseating prevention devices

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Year

Model

ນ2.1.2 ৘ࡑ஠ఘΉȜΑȪॻ೰մȫ
Table 2.1.2 Experimental Program in 2007-2010.
Purposes

2005-2006

C1

Preliminary analyses and design

2007

C1-1

Column built in 1970s which fails in flexure

2008
2009

2010

C1-2

Column built in 1970s which fails in shear

C1-5

Column by the current code

C1-3

Retrofitted column by steel jacket

C1-4

Retrofitted column by CFS

C1-6

Current column subjected to stronger than code specified ground motions

C1-7

US column

C2

The system failure mechanism of a bridge

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଎ 2.1.1 ‫ޘ‬ၴΏΑΞθ৘ࡑ!
Fig.2.1.1!C2 System experiments!
! ! ! !!(Progressive collapse).

ৢ૯ 2.1.1 C1-1 ৘ࡑ!
Photo 2.1.1!C1 Component experiments!
ȪSingle columnȫ.
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6

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల! ࣢! 2008 ා! ࠮

3.! C1-1 ࿅߿͈අ଻͂‫ح‬૦ૄ࠯

1970 ාయ͈ఛૼ୭͉ࠗȄૼഽ༹̜́ͤḘ̭̏́͜ૼഽ
༹ͬဥ̞̀ఛૼ୭࣐̹ࠗͬ̽ȅ̷͈୭ࠗૼഽ͉Ȅ‫ޘ‬৊༷࢜͂‫ޘ‬৊ೄ‫ ̦༷࢜ڙ‬0.23Ȅ‫؀‬ೄ༷͉࢜Ⱦ0.11 ̜́ͥȅນ 3.1.2 ͉Ȅૼഽ༹ͥ͢ͅఛૼ୭ࠗ̽̀͢ͅං̹ͣͦ
؊ႁഽ͂‫ݺ‬ယ؊ႁഽͬ๤‫̜͈̹̱ͥ́͜ڛ‬ȅգੀ؊ႁഽ
͂֨ಫ؊ႁഽ̵̤͍ͭ͢౯؊ႁഽ͉Ȅ‫ͦ͜ة‬Ȅ‫ޘ‬৊༷̥࢜ͣैဥ̳ͥ౷ૼ൲͈༷̦ఱ̧̞౵̦ං̤ͣͦ̀ͤȄգੀ؊ႁഽ͉‫ݺ‬ယ؊ႁഽ͈࿩ 89%Ȅ֨ಫ؊ႁഽ͉‫ݺ‬ယ؊ႁ
ഽ͈࿩ 83%̞͂̈́̽̀ͥȅ̵ͭ౯؊ႁഽ͉Ȅ‫ݺ‬ယ؊ႁഽ͈࿩ 34%͂ဒဉͬॼ̱̞̭̦̥̀ͥ͂ͩͥȅૼഽ༹́ఛૼ୭̱̹ࠗ C1-1 ‫͈ݗޘ‬ఛႁ͞་ࠁ଻ෝͬ
ଔ೰̳̹ͥ͛ͅȄ࡛࣐͈ൽႹ‫ޘ‬া༷੥[3.1.3]ܰͅ೰̯ͦ
ͥ RC ‫͈ݗޘ‬౷ૼশ༗ခକ໹ఛႁ༹ͅ੔̲̀Ȅ̷͈ఛႁ͂෫ٟࠁఠ̤͍͢་ࠁ଻ෝ͈ଔ೰࣐̹ͬ̽ȅ৘ࡑ́ဥ̞
ͥවႁ౷ૼ൲͉Ȅ1995 ා໶ࡩࡇධ໐౷ૼ́۷௶̯̹ͦ JRవ৾‫ܱפ‬჏̜̭̥́ͥ͂ͣȄ౷ૼশ༗ခକ໹ఛႁ༹͉́
ΗͼίԆ౷ૼ൲ͬே೰̱̹ȅນ 3.1.3 ͉Ȅ̷͈ࠫ‫ͬض‬ାၑ̱̹͈̜́ͥ͜ȅެ̬ͅ‫̳ͥ۾‬ਞޫેఠ͉Ȅఝഘ޼͈౤໐̦΋ͺ΋ϋ·ςȜΠඤͅ೰಍̯̞̞͈ͦ̀̈́́Ȅ̷͈ࢰ௵࢘‫ܢ͉ض‬ఞ̧̞̱́̈́͂̀Ȅ΋ϋ·ςȜΠ̦डఱգੀ؊ႁഽͅో̴̧̳͈͙̱̹ͥ͂͌͂[3.1.4]ȅਞޫ͈฻೰͉Ȅգੀ௰̤̫ͥͅ‫ٸ‬௰͈৊༷࢜ഘ޼պ౾ͅ୆̲ͥ
̴͙͌ͅ಍࿒̱࣐̹̀̽ȅ΋ϋ·ςȜΠ̦໅౜̵̳ͥͭ
౯ఛႁ͉Ȅ‫ك‬ਹ͈ୃ໅࢐๔߫༐̱ैဥ͈‫̳ͥ۾ͅޣג‬༞ୃ߸ତͬΗͼίԆ౷ૼ൲͈ 0.8 ̱͂̀ॳ੄̱̹ȅঘ‫ك‬ਹ̽̀͢ͅ‫ܖݗޘ‬໐ͅ୆̲ͥգੀ؊ႁഽ͉
1.13N/mm2 Ȅ͂ఱ̧̞̭̦̥͂ͩͥȅ̵ͭ౯঑‫ۼ‬๤͉Ȅ

3.1 ࿅߿͈୭ࠗ
C1-1 ࿅߿͉Ȅ1970 ාయͅ࠺୭̯̹ͦൽႹ‫ ͈ޘ‬RC ‫ݗޘ‬ͬచય̱̹͂৘ఱ࿅߿̜́ͥȅ1970 ාయͅ୭ࠗȆ࠺୭̯̹ͦ RC ‫͉ݗޘ‬Ȅ1964 ාࣙൽႹ‫ޘ‬া༷੥ܰͅ೰̯̹ͦ‫ك‬ਹͬဥ̞̀୭̯̞̦ࠗͦ̀ͥȄ࡛ह͈̠̈́͢મळ̈́ࢹ௮ळ
࿒̦ܰ೰̯̞̥̹͈ͦ̀̈́̽́Ȅ෻޼൝͉Ȅ1995 ා 1 ࠮
17 ඾໶ࡩࡇධ໐౷ૼ́๭ब̱̹സঌඤࣞ‫ ͈ޘط‬RC ‫ݗޘ‬
[3.1.1]ͬ४ࣉ̷̱̦͈͂̈́ͣ෻޼ͬࠨ̹͛ȅ଎ 3.1.1 ͉ C1-1 ࿅߿͈෻޼ે‫ͬޙ‬Ȅນ 3.1.1 ͉୭ࠗૄ࠯ͬȄ̷̸ͦͦାၑ̱̹͈̜́ͥ͜ȅ‫ߏݗޘ‬ఘ͈̯ࣞ
7.5mȄೄࠂ 1.8m ͈‫ࠁ׫‬౯࿂ͬခ̳ͥ RC ‫̜ͥ́ݗޘ‬ȅ৘ࡑ͉́Ȅષ໐ࢹ௮̥ͣ‫ैͅݗޘ‬ဥ̳ͥ‫଻۝‬ႁ̧̺ͬ́ͥ
̫ఱ̧̩̳̹ͥ͛ͅȄ‫̦ݗޘ‬঑঵̧̳͓ͥષ໐ࢹ௮ਹၾ
ͬ 2 Ⴒ̷͈͈ࠥ͂ષͅ෻౾̱̹ࣙโͬୟ͙ਹ͇̹ັ‫ح‬ζᾼ̽̀͢κΟσ‫̹̱ا‬ȅ2 Ⴒ͈͉ࠥȄࣙโͬୟ͙ਹ͇
̹ັ‫ح‬ζΑͬ঑঵̳̭ͥ͂͂Ȅ̷͈‫଻۝‬ႁͬ‫ͅݗޘ‬ഥ̢͈̦ͥ࿒എ̜́ͤȄ̷͈࣠଻͉৘ष͈ࠥͤ࣠͂̈́ͥ͢͜
̠͢ͅ୭̱̹ࠗȅ̹͘Ȅ‫ͅݗޘ‬ఱ̧̈́ެ̬་ࠁ̦୆̲̹
̭̦͂̽̀ࠥ͢ͅ၂‫̠̞̦̭̳̈́͂ͥ͢ͅئ‬Ȅऒֲ͈͈ࠥ঑ઇͬȄ‫ޘ‬৊༷࢜͂‫ޘ‬৊ೄ‫ࡥ༷͂࢜͜ͅڙ‬೰̱̹͂ȅၰ౤໐͈‫͉́ݗޘ‬Ȅ͈ࠥ঑ઇ͉Ȅ‫ޘ‬৊༷࢜ͅ‫خ‬൲́‫ޘ‬৊ೄ‫ࡥ͉༷࢜ͅڙ‬೰̱̹͂ȅఛૼ୭ࠗષ͈౷๕ਅ༆͉Ȅ1995 ා 1 ࠮ 17 ඾໶ࡩࡇධ
໐౷ૼ́๱ુͅఱ̧̈́౷ૼ൲‫ޑ‬ഽͬခ̳ͥ‫ܱૼޑ‬჏̦۷௶̯̞ͦ̀ͥԆਅ౷๕̱̹͂ȅ‫͈ݗޘ‬౯࿂ࠁેͬ‫͂ࠁ׫‬̱̹͈͉Ȅ඾ༀ‫ވ‬൳ࡄ‫̥̭̜ͣ͂ͥ́ݪ‬Ȅༀ࣭́͜ဥ̞
̞ͣͦ̀ͥ‫ࠁ׫‬౯࿂ͬచય̱̹͂ȅ৊༷࢜ഘ޼͉ȄೄࠂЋ29mm ͈ഘ޼̦‫ٸ‬௰͂ಎ؇ͅ 32ུȄඤ௰ͅ 16 ུ෻౾̯̤ͦ̀ͤȄఝഘ޼͉ȄೄࠂЋ13mm
͈ഘ޼ͬȄ30Ћ̞̠͂ਹ͇ࠑ਀ಿ́෻޼̱̹ȅ1970 ාయ൚শ͜Ȅಔ͉̦͂ͤ࢐ͩͥ໐໦͉Ȅ৻ത̳̞̹͂̈́ͤ͞
͛Ȅఝഘ޼͈‫̦̭̳͂ͥͅྟͬڞۼ‬ଔ੻̯̤ͦ̀ͤ
[3.1.2]Ȅఝഘ޼͉Ȅ‫ܖݗޘ‬໐͂ಔષ౤໐́‫๊֚ͬڞۼ‬໐ͤ͢͜‫̞̱̩ͥ̀ޛ‬ȅߓఘഎ͉ͅȄ‫ٸ‬௰Ȅಎ؇Ȅඤ௰͂
͜ 300mm ‫́ڞۼ‬ఝഘ޼ͬ෻౾̱̹ȅ̹̺̱Ȅ‫ٸ‬௰͈ఝഘ޼̤̞͉̀ͅȄ‫ܖ͈ݗޘ‬໐͂ષ౤໐͉́ 150mm ‫ڞۼ‬́෻౾̱̹ȅ
ঘ‫ك‬ਹ฽ႁ͉ 2,080̇NȄ౷ૼশͅ঑঵̧̳͓ͥષ໐ࢹ
௮ਹၾ͉‫ޘ‬৊༷࢜́ 2,960̇NȄ‫ޘ‬৊ೄ‫ ༷́࢜ڙ‬2,080̇NȄ‫ু͈ݗޘ‬ਹ͉ 794.5̇N ̜́ͥȅષ໐ࢹ௮‫଻۝‬ႁ͈ैဥպ
౾͉Ȅ‫ޘ‬৊༷̦࢜‫ݗޘ‬ഛ౤ͤ͢ 0.5mȄ‫ޘ‬৊ೄ‫ޘ̦༷࢜ڙ‬‫ݗ‬ഛ౤ͤ͢ 1.8m ͈̯ࣞ͂̈́ͥȅ΋ϋ·ςȜΠ͈୭ࠗ‫ܖ‬੔‫ޑ‬ഽ͉Ј ck=27N/mm2Ȅഘ޼͈‫ޘ‬৊༷̦࢜ 4.4Ȅ‫ޘ‬৊ೄ‫ ̦༷࢜ڙ‬5.2 ͂̈́ͤȄ๊֚എ̈́ಔ
໐ऺ̱͈͂̀ํս̜̭̦̥ͥ͂ͩͥͅȅ৊༷࢜ഘ޼๤͉
2.02ɓȄఝഘ޼͈ఘୟ๤͉ಔ๊͈֚໐́࿩ 0.32%Ȅ‫ݗޘ‬‫ܖ‬໐͂ಔ͈ષ౤໐́࿩ 0.42%͂̈́ͥȅެ̬ఛႁ͉Ȅ੝ࣛ໖́࿩ 8,793̇N.mȄਞޫ́࿩ 12,936
̇N.m ̜́ͥȅਞޫެ̬ఛႁ͉Ȅ੝ࣛ໖ެ̬ఛႁ͈࿩ 1.5
෼͂̈́ͤȄ৊༷࢜ഘ޼̦ࣛ໖̱̥͈̀ͣఛႁષઌ̦ఱ̧
̞̭̦̥͂ͩͥȅ̵ͭ౯ఛႁ͉Ȅ‫͈ݗޘ‬ಎ‫ۼ‬໐ͅպ౾๊̳֚ͥ໐́࿩
2,026̇NȄఝഘ޼̦ྟͅ෻౾̯̹ͦ‫ܖݗޘ‬໐͂ಔષ౤໐
́࿩ 2,391̇N ͂̈́ͥȅ΋ϋ·ςȜΠ̦໅౜̳ͥ໦̦Ȅ๊֚໐́࿩ 46%Ȅ‫ܖݗޘ‬໐͂ಔ͈ષ౤໐́࿩ 39%͂̈́ͥȅ଎ 3.1.2 ͉Ȅ‫ڎ‬౯࿂͈੝ࣛ໖ެ̬κȜιϋΠ͂ਞޫެ̬κȜιϋΠͬȄ‫ڎ‬౯࿂պ౾̥ͣષ໐ࢹ௮‫଻۝‬ႁैဥպ౾͈́͘‫ݻ‬ၗ́ੰ̱̹ެ̬ఛႁȪષ໐ࢹ௮‫଻۝‬ႁैဥպ౾͈ެ̬କ໹ఛႁȫ͂Ȅ̵ͭ౯ఛႁͬ๤‫̜͈̹̱́͜ڛ‬ͥȅ̵ͭ౯ఛႁ͉Ȅ‫ك‬ਹ͈ୃ໅࢐๔߫༐̱ैဥ͈‫ͅޣג‬‫̳ͥ۾‬༞ୃ߸ତͬΗͼίԆ౷ૼ൲͈ 0.8 ̱̹͈͂͂͜Ȅ
1.0 ̱̹͂ 2 ਅ႒ͬা̱̜̀ͥȅ଎ͤ͢Ȅ‫ޘ‬৊༷࢜Ȅ‫ޘ‬৊ೄ‫͈༷࢜ڙ‬ၰ༷࢜͂͜Ȅެ̬ఛႁ̵ͤͭ͢͜౯ఛႁ͈
༷̦ఱ̧̩Ȅެ̬ఛႁ͉‫ܖݗޘ‬໐́ड͜઀̯̩̞̈́̽̀
̭̦̥ͥ͂ͩͥḙ̏ͦͤ͢Ȅ଎ 3.1.1 ͅা̱̹ C1-1 ࿅߿͈෫ٟࠁఠ͉Ȅ‫ܖݗޘ‬໐ͅఅੱ̦ਬಎ̳ͥެ̬෫ٟΗͼί͂ଔ೰̯ͦͥȅ଎ 3.1.3 ͉Ȅષ໐ࢹ௮‫଻۝‬ႁैဥպ౾̤̫ͥͅକ໹ႁ

ࣛ໖ത‫ޑ‬ഽ͉Ј sy=345N/mm2 ̱̹͂ȅ΋ϋ·ςȜΠ͈୭ࠗ‫ܖ‬੔‫ޑ‬ഽ̦Ȅ๊֚എ࣭̈́ൽ͈ RC ‫ͅݗޘ‬ဥ̞̞ͣͦ̀
̹͈ͤ͜͢͜ఱ̧̞͈͉Ȅസঌඤࣞ‫̹͈͛ޘط‬ષ໐ࢹ௮ਹၾ̦ਹ̥̹͈̽́Ȅಔ͈౯࿂଱༹ͬ઀̯̩̳̹ͥ͛͂
ထே̯ͦͥȅഘ޼͈ࣛ໖ത‫ޑ‬ഽ̦൚শ๊֚ͅဥ̞ͣͦ̀
̞̹͂ࣉ̢ͣͦͥ SD295 ͤ͢͜ఱ̧̞͈͉Ȅ࡛ह͈ഘ޼
͈ව਀ે‫̞ͥ̀̽͢ͅޙ‬ȅ7

防災科学技術研究所研究資料
331号 20082009ා!
年 1࠮月ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!第ల??࣢!

ૼ୭̯̹͈ࠗͦ͂͜๤‫̳͂ͥڛ‬Ȅ‫̦̭̞̯ͩ͂઀ͦ͜ة‬̥ͥȅ͂କ໹་պ͈‫ͬ߸۾‬া̱̹͈̜́ͥ͜ȅࣛ໖་պ̱͂̀Ȅ੝ࣛ໖་պͬဥ̞̀ॳ੄̱̹ਞޫ஦଻ၚ͉Ȅ‫ޘ‬৊༷࢜́࿩ 3.1Ȅ‫ޘ‬৊ೄ‫༷́࢜ڙ‬࿩ 2.9 ࡛͂ह͈ఛૼ୭ࠗ‫ܖ‬੔́ఛ

3900
950

H=75001150 1500

2600

Longitudinal reinforcement:
Diameter is 29mm
I 29-32=205.568cm2
Area of out side reinforcements
Area of middle side reinforcements I 29-32=205.568cm2
Area of inner side reinforcements I 29-16=102.784cm2
Cover is 100mm
Spacing of bar is 100mm
Lap
spli
Tie in end region:c
30 Ie lengt
Diameter is 13mmhSpacing of out side is 150mm
I13
Spacing of middle side is 300mm
Spacing of inner side is 300mm
Tie in general region:
Diameter is 13mm
Spacing is 300mm
I 29
D=1800Base section

Unit: mm

଎ 3.1.1 C1-1 ࿅߿͈෻޼ે‫ޙ‬
Fig.3.1.1! Arrangement of reinforcements in cross section.

⴫ 3.1.1 ⸳⸘᧦ઙ
Table 3.1.1 Design Conditions
Item

Value

Pier height H

7.5m

Section shape of pierCircular

Diameter of cross section of pier D

1.8m

Reaction Rd

2,080kN

WeightHeight ofsuperstructural inertia
force
Material strength

Modulus of elasticity

Design seismic
coefficientSuperstructureLongitudinal Wu

LG

2,960kNTR

2,080kN

Transverse Wu
Pier W p

794.5kN

Longitudinal hLG

0.5m

Transverse hTR

1.8m

Concrete V ck

27N/mm2

Yield strength of reinforcement V sy

345N/mm2

Concrete E c

2.65×104N/mm2

Reinforcement E s

2.0×105N/mm2

Longitudinal k h

LG

0.23

Transverse k h

TR

0.23

Vertical kv

r0.11



8

ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

⴫ 3.1.2 㔡ᐲᴺߦࠃࠆᔕജᐲߣ⸵ኈᔕജᐲߩᲧセ
Table 3.1.2 Verification of stress by design seismic coefficients
Direction
Longitudinal

Transverse

kv

12N/mm2

10N/mm2

kv

12N/mm2

10N/mm2

Allowable stress

13.5N/mm2

13.5N/mm2

kv

237N/mm2

183N/mm2

kv

250N/mm2

196N/mm2

Allowable stress

300N/mm2

300N/mm2

Stress

0.36N/mm2

0.27N/mm2

Allowable stress1.125N/mm2

1.125N/mm2

StressCompression
FlexureStressTensileShear

Initial yielding flexural strength
Ultimate flexural strength
6

4.85m

5
4
3
2

0.95m

1

0m

0

(1) Arrangement ofreinforcement

4.85

5 4.85Height (m)Height (m)6mDesign shear force (cc=1.0)
Design shear force (cc=0.8)
cc : Modification factor on the effectsof alternating cyclic loading
6

0.95
0

2000 4000 6000 8000
Force (kN)
(2) Longitudinal

଎ 3.1.2!

4
3
2
1 0.95001000 2000 3000 4000
Force (kN)(3) Transverseެ̬ఛႁ̵͂ͭ౯ఛႁ͈๤‫ڛ‬
Fig.3.1.2! Comparison of Flexural Strength and Shear Strength.

9!

ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల??࣢! 2008 ා! ࠮
防災科学技術研究所研究資料 第 331号 2009 年 1 月

ນ 3.1.3!
࡛ह͈౷ૼশ༗ခକ໹ఛႁ༹ͥࠗ͢ͅॳࠫ‫ض‬
Table 3.1.3! Summary of determined dimensions.
Direction

Longitudinal

1.13N/mm2

Compression stress by dead load in pier base
Shear span ratio

4.4

5.2

Reinforcement ratio

Tie in general region

Tie in end region

2.02%
Area

I 13×3 : 380.1mm2

Spacing

300mm

Tie ratio

0.317%Area

I 13×2 : 253.4mm2

Spacing

150mm

Tie ratio

0.422%

Yielding period of pierCracking

Initial yielding

Ultimate
Flexuralstrength

0.61sec

2090.8kN¦m

Curvature

1.279×10 -4(1/m)

Moment8792.7kN¦m

Curvature

1.644×10-3(1/m)

Moment12936.3kN¦m

Curvature

1.009×10-2(1/m)

Yielding

Ultimate

Design shear force
in general region
Shearstrength
Design shear force
in end region

0.64sec

MomentInitial yielding
Push overload-displacement

Transverse

Load1099.1kN

945.4kN

Deflection

0.0315m

0.0418m

Load

1617.0kN

1391.0kN

Deflection

0.0463m

0.0615m

Load

1617.0kN

1391.0kN

Deflection

0.0984m

0.1226m

Shear strength provided by concrete

928.7kN

Shear strength provided by shear reinforcement

1097.0kN

Design shear force

2025.6kN

Shear strength provided by concrete

928.7kN

Shear strength provided by reinforcement

1462.6kN

Design shear force

2391.3kN

10ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

2000
Ultimate

1500
1000

Load (kN)

Load (kN)

2000

Initial yielding

500

1000

50
100
Displacement (mm)(1) Longitudinal

0
0

150

Initial yielding

500

Clacking
00Ultimate

1500

Clacking
50100
Displacement (mm)(2) Transverse

଎ 3.1.3! ‫ك‬ਹȡ་պ
Fig.3.1.3! Load vs. Displacement Relation.

!

11

!

150

防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004

3.2! RC ‫ݗޘ‬࿅߿ୋै͂৘ࡑ௡౾͈ΓΛΠͺΛί
3.2.1 RC ‫ ݗ ޘ‬࿅ ߿ ୋ ै 1)΋ϋ·ςȜΠদࡑႯ!
RC ‫ݗޘ‬࿅߿͈΋ϋ·ςȜΠ͈୭ࠗ‫ޑ‬ഽ͉ 27N/mm2 ̜́ͥ㧚̭͈୭ࠗ‫ޑ‬ഽ͈΋ϋ·ςȜΠͬୋै̳̹ͥ͛ͅদ
ࡑఘୋैͅ୶ၛ̽̀΋ϋ·ςȜΠ͈দࡑႯ͂գੀ‫ޑ‬ഽদࡑ ͬ ࣐ ̞ Ȅ ঀ ဥ ̳ ͥ ୆ ΋ ϋ · ς Ȝ Π ͈ ࡤ ͍ ‫ ޑ‬ഽ ͬ 24
N/mm2 ͂ࠨ೰̱̹ȅদࡑႯͤࠫ‫ͬض‬ນ 3.2.1 ͅা̳ȅ2)RC ‫ݗޘ‬࿅߿ୋैȆ‫׋‬เ!
RC ‫ݗޘ‬࿅߿͉ȄE-Defense ົ౷ඤͅ୭̫̹ୋैμȜΡ̤̞̀ͅ෻޼ழၛ㧘΋ϋ·ςȜΠ͈఑୭࣐ͬ̽̀ୋै̱
̹ȅ΋ϋ·ςȜΠ͈఑୭͉ȄέȜΙϋΈ໐Ȅ‫ݗޘ‬ಔ‫ܖ‬໐Ȅಔષ໐Ȅၴ໐͈ 4 ٝͅ໦̫࣐̹̀̽㧚RC ‫ݗޘ‬࿅߿ୋैͅဥ̞̹΋ϋ·ςȜΠ෻ࣣນͬນ 3.2.2ȡ3 ͅা̳㧚দࡑఘୋैμȜΡ̥͈ͣ‫׋‬เ͉ȄέȜΙϋΈ௰࿂ͅ ‫͈ܖ‬ήρΉΛΠͬ୭౾̱ȄΐλΛ΅ͺΛί̱̀ E-Defense̦ਫ਼ခ̳ͥξΣΛΠ΅λςȜͅ൏श̱̀ૼ൲৘ࡑ൓ඤͅ
‫׋‬เ̱̹ȅ̷͈ે‫ৢͬޙ‬૯ 3.2.1㨪2 ͅা̳ȅ3)RC ‫ݗޘ‬࿅߿΋ϋ·ςȜΠ‫͍ݞ‬ഘ޼͈ऺၳদࡑࠫ‫ض‬
ນ 3.2.4 ͉㧘୆΋ϋ·ςȜΠ͈຦ৗ‫ۯ‬ၑͬ࿒എ̱̹͂
ດ੔ူ୆࡛͂౷‫ܨ‬ಎူ୆ͥ͢ͅգੀ‫ޑ‬ഽ̜́ͥȅૼ൲ర৘ࡑ඾͈‫ܨ‬ಎူ୆ͥ͢ͅգੀ‫ޑ‬ഽ͉ 30.7 N/mm2 ̜̦́ͥ㧘28 ඾‫ޑ‬ഽ͉́ 34.1 N/mm2 ͂݃࿚͈ॼͥࠫ‫̜̽́ض‬̹ȅ
ນ 3.2.5ȡ8 ͉΋ϋ·ςȜΠ͈գੀ‫ޑ‬ഽ͂୓౮଻೰ତͬ
‫̹͛ͥ͛ͅݥ‬৘ঔ̱̹ऺၳদࡑࠫ‫̜ͥ́ض‬ȅນ 3.2.5 ͉ೄࠂЋ150ȿ̯ࣞ 300mm ͈ΞΑΠάȜᾼͥ͢ಔ໐͈ऺ
Ⴂ 28 ඾‫ޑ‬ഽ́Ȅ̷͈౵͉ 27ȡ29N/mm2 ̜́ͥȅນ 3.2.6
͉ಔ‫ܖ‬໐΋ϋ·ςȜΠ఑୭̵ࣣͩ̀ͅै଼̱̹ 1m ‫͈ڙ‬΋ϋ·ςȜΠήυΛ·̥ͣ΋ͺา̧̱̹ऺႢ 28 ඾͈Ћ
100×200mm ͈ΞΑΠάȜᾼ͈ͥ́͢͜Ȅ28N/mm2 ̜́ͥȅນ 3.2.5ȡ6 ͅা̳ऺႢ 28 ඾͈́΋ϋ·ςȜΠ͈գੀ‫ޑ‬ഽ͉࿒ດ‫ޑ‬ഽ 27 N/mm2 ͬྖ௷̳͈̜̹ͥ́̽͜ȅນ 3.2.7ȡ8 ͉ૼ൲৘ࡑ൚඾͈́գੀ‫ޑ‬ഽ͂୓౮଻߸ତ
̜́ͥȅಔ‫ܖ‬໐͈գੀ‫ޑ‬ഽ͉ 32ȡ34 N/mm2 ̜́ͤȄऺ
Ⴂ 28 ඾‫ޑ‬ഽ͉ͤ͢௩‫̹̞̱̀ح‬ȅ‫ݗޘ‬ષ໐͉Ȅ‫ܖݗޘ‬໐ͅ๤͓̀գੀ‫ޑ‬ഽ̦೩̜̹͛́̽ȅRC ‫ݗޘ‬࿅߿ͅဥ̞̹ഘ޼͈ JIS ܰ‫ऺ̹̞̿ܖͅڒ‬ၳদࡑࠫ‫ͬض‬ນ 3.2.9 ͅা̳ȅ

ৢ૯3.2.1! RC ‫ݗޘ‬࿅߿ΐλΛ΅ͺΛίPhoto 3.2.1 Jacking up of the column.

ৢ૯3.2.2! RC ‫ݗޘ‬࿅߿‫׋‬เ
Photo 3.2.2 Transportation of the Specimen.

12

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮

ນ3.2.1!
΋ϋ·ςȜΠদࡑႯࠫ‫ض‬
Table 3.2.1 Preliminary compression test of column concrete.

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ນ 3.2.2!
΋ϋ·ςȜΠ෻ࣣນ! ‫ݗޘ͍ݞݗޘ‬ೀ໐
Table 3.2.2! Mix proportion for column concrete.

%GOGPV

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ນ3.2.3!
Table 3.2.3

5NWOR/CZKOWOUK\GQH
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#FFKVKXG΋ϋ·ςȜΠ෻ࣣນ! έȜΙϋΈ໐! Mix proportion for column concrete.

%GOGPV

0QOKPCNUVTGPIVJ㧔TGSWKTGF㧕

5NWOR/CZKOWOUK\GQH
EQCTUGCIITGICVG

2QTVNCPFDNCUVHWTPCEG
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9CVGT


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%GOGPV13#FFKVKXG
防災科学技術研究所研究資料
第 331号ა໲ΗͼΠσȜಠ৪ྴ2009 年 1 月

ນ3.2.4!
຦ৗ‫ۯ‬ၑͬ࿒എ̱̹͂ 4% ‫ݗޘ‬࿅߿‫ݗ‬໐͈΋ϋ·ςȜΠգੀদࡑࠫ‫ض‬
Table 3.2.4 Compressive strength of column concrete.

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ນ3.2.6! ΋ϋ·ςȜΠऺႢ 28 ඾‫ޑ‬ഽȪ̷͈ 2ȫTable 3.2.6 28-day strength of column concreteȪ2ȫ
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14

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮
ນ3.2.7!
ૼ൲ర৘ࡑ඾͈΋ϋ·ςȜΠգੀ‫ޑ‬ഽ‫୓͍ݞ‬౮଻೰ତȪ̷͈ 1ȫTable 3.2.7Compressive strength of column concrete at test day (1).
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ນ3.2.8!
ૼ൲ర৘ࡑ඾͈΋ϋ·ςȜΠգੀ‫ޑ‬ഽ‫୓͍ݞ‬౮଻೰ତȪ̷͈ 2ȫTable 3.2.8 Compressive strength of column concrete at test day (2).

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15

防災科学技術研究所研究資料
第 331号ა໲ΗͼΠσȜಠ৪ྴນ3.2.9!
Table 3.2.9

2009 年 1 月‫ݗޘ‬໐ͅဥ̞̹ഘ޼͈֨ಫদࡑࠫ‫ض‬Strength of column reinforcements.㩷

(a) Longitudinal reinforcementȪD29! SD345ȫ

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16

$TGCMKPI
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GNQPICVKQP& ࡠ࠶࠼⇟ภ ) ᄖ஥Ꮺ㋕╭E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮

3.2.2 ৘ࡑ௡౾͈ΓΛΠͺΛί৘ࡑ௡౾͉Ȅ2 ࠂ‫ޘ͈ۼ‬ၴࠁ৆̜́ͥȅ̷͈ΓΛΠͺΛίͬ଎ 3.2.1 ͅা̳ȅ ଎ 3.2.1 ͅা̳̠͢ͅಎ؇ͅ
RC ‫ݗޘ‬࿅߿ͬ୭౾̱Ȅ౤໐‫ط‬ర͈͂‫ͬࠥͅۼ‬ള̱Ȅࠥષͅષ໐ࢹ௮ਹၾͅ௖൚̳ͥζΑͬ୭౾̱̞̀ͥȅ͈ࠥ
ৗၾ͉ 1 ‫ ́ܖ‬22.7tȄఱ̧̞ζΑ͉ 78̐Ȅ઀̯̞ζΑ͉
44.6tȄ঑ઇ͂२໦ႁࠗ́ 10.2̜̐́ͥȅࠥȄζᾼ঑ઇ́ͬ͘‫̹͛܄‬஠ષ໐ࢹ௮ਹၾ͉ 2949.8̇NȪ300.8̐ȫ̜́ͥȅષ໐ࢹ௮̥ͣ RC ‫ݗޘ‬࿅߿ͅैဥ̳ͥঘ‫ك‬ਹ͉঑ઇਹၾ͜‫̀͛܄‬஠ఘ́ 2050̇N ̜́ͥȅષ໐ࢹ௮ਹၾ‫ݞ‬͍ RC ‫ݗޘ‬࿅߿ͅैဥ̳ͥঘ‫ك‬ਹ฽ႁͬ଎ 3.2.2 ͅা̳ȅRC ‫ݗޘ‬࿅߿ષ͉ࠥͬͅ঑঵̳ͥ঑ઇ͂঑ઇͅैဥ̳
ͥષ໐ࢹ௮‫଻۝‬ႁͬࠗ௶̳̹͈ͥ͛२໦ႁࠗͬ୭౾̳ͥȅ̷͈୭౾ે‫ͬޙ‬଎ 3.2.3 ͅা̳ȅRC ‫ݗޘ‬ഛ౤ષ͈ࡥ೰঑
ઇ͉‫ޘ‬৊༷࢜Ȅ‫ޘ‬৊ೄ‫༷࢜ڙ‬Ȅ‫؀‬ೄ༷࢜ͅࡥ೰́Ȅ‫ڎ‬৊ਔ͉ͤͅ‫خ‬൲̜́ͥȅ‫ࠥٸ‬௰͈̳͓ͤ঑ઇ͉ࠥͬ‫؀‬ೄͅ঑঵̳ͥഢുཡগ঑ઇ́Ȅ͈ࠥ‫؀‬ೄ৊ਔ͈ͤٝഢͅ؊̲
̀‫ࢹͥڲ‬௮̜́ͥȅ଎ 3.2.4 ͉౤໐‫ط‬రષ͈঑ઇ́Ȅ‫ޘ‬৊༷࢜‫خ‬൲Ȅೄ‫ڙ‬༷࢜ࡥ೰̜́ͥȅນ 3.2.10 ͉ࡥ೰঑ઇȄ‫خ‬൲঑ઇȄഢുཡগ঑ઇ͈‫ݺ‬ယఛႁͬা̳͈̜́ͥ͜ȅ17

防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004

଎3.2.1! RC ‫ݗޘ‬৘ࡑ͈ΓΛΠͺΛί
Fig.3.2.1 C1 Component Experiments.

!
! ! ! ! ! ! ! ! ! ! ! ! Rd=450.1̇N(45.9t) ! ! ! ! ! ! Rd=1024.8̇NȪ104.5tȫȿ2 ‫ܖ‬Ɂ2050̇NȪ209̐ȫ
଎3.2.2! 4% ‫ݗޘ‬৘ࡑષ໐ࢹ௮͈୭౾͂ঘ‫ك‬ਹ฽ႁFig.3.2.2 Super structure and dead load for C1 component experiments.
18

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !
! ! ! ! (a)Fixed bearing ! ! ! ! ! ! ! ! ! ! ! (b)Load Cell(c)Bearings and Load cells on the bent cap଎3.2.3! RC ‫ݗޘ‬࿅߿ષ͈঑ઇ͂२໦ႁ͈ࠗΓΛΠͺΛί
Fig.3.2.3

Bearings and Load Cells on the Bent Cap.


଎3.2.4! ౤໐‫ط‬ర͈‫ޘ‬৊༷࢜‫خ‬൲Ȇ‫ޘ‬৊ೄ‫ࡥ༷࢜ڙ‬೰঑ઇ
Fig.3.2.4

Movable bearings on the end support.


19

防災科学技術研究所研究資料
第 331号ა໲ΗͼΠσȜಠ৪ྴ2009 年 1 月

ນ3.2.10!
঑ઇ͈ఛႁ
Table 3.2.10! Performance of bearings.
C1-6 (C1 setup with additional mass) was considered.
Bearing

Fixed bearings(On the column)

Force

Condition

Verticalcompression
force

During excitation

Vertical tensile
force

During excitation

RUɁ1038kN! Ʌ! 5129kN(Shear capacity of bolts)

Longitudinal
direction

RHɁ2604kN! Ʌ! 5360kN(Bond strength of anchor bolts)

Transverse
direction

RHɁ1332kN! Ʌ! 5811kN(Shear capacity of set bolts)

Longitudinal
direction*

ϾɁ5.2ɋ! ! Ʌ! 8ɋ

Transverse
direction*

ϾɁ0.1ɋ! ! Ʌ! 8ɋ

Lateral force

Rotation

Movable bearings(On the end support)

Verticalcompression
force

During excitation

Vertical tensile
force

During excitation

Lateral force

Rotation

Side sliders(On the column)

Demand and Capacity

Verticalcompressionforce

RVɁ1066kN! Ʌ! 3800ȿ1.7Ɂ6460kN(Allowable stress of support plate)

RVɁ2375kN! Ʌ! 2946kN(Allowable stress of support plate)
RUɁ667kN! Ʌ! 1500kN(Tensile strength of bolts)

Longitudinal
direction

ȝTransverse
direction

RHɁ861kN! Ʌ! 2945kN(Shear capacity of set bolts)

Longitudinal
direction*

ϾɁ0.5ɋ! Ʌ! 6ɋTransverse
direction*

ϾɁ1.7ɋ! Ʌ! 6ɋ!

During excitation

RVɁ2072kN! Ʌ! 4241kN(Allowable stress of support plate)*Rotation in longitudinal and transverse directions means rotation around transverse and longitudinal axes, respectively.

! ! ! ! ! ! ! ! WUaɁ2156kN! ! ! ! ! ! ! ! ! WUbɁ2156kN! ! ! ! ! ! ! ȪWeight of super structureȫ
! ! ! ! ReaɁ890kN! ! ! RcaɁ1266kN! ! ! ! ! ! ! ! ȮFix bearing R dɁ446kNȄSide sliders RdɁ410kNȟeachȯ

! ! ! ! ! ! ! ! ! ȇFix bearings! ! ! ! ! ! ! ȇSide slidersȪon the columnȫ
! ! ! ! ! ! ! ! ! ! ȇMovable bearing! ! !

ȇSide slidersȪon the end supportȫ




20

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮

3.3! ࠗ௶
ࠗ௶଼໦ͬນ 3.3.1 ͅা̳ȅ‫௸ح‬ഽࠗȄ२໦ႁࠗȄ̴͙͌ΊȜΐȄ་պࠗȄ௸ഽ͈ࠗ৾ͤັ̫ࠗ௶‫͈ܕ‬௙ତ͉
677 ଼໦̜́ͥḙ͈̏ఈͅૼ൲రଷࢄ‫۾‬Ⴒ͈ࠗ௶̦༆ഷ
ͅ 64 ଼໦̦̜ͤȄ̯ͣͅ२ষࡓ་պࠗ௶̦̜ͥȅࠗ௶଼໦͈༷͉࢜‫ޘ‬৊༷࢜ͬ˵༷࢜Ȅ‫ޘ‬৊ೄ‫༷࢜˴༷ͬ࢜ڙ‬Ȅ‫؀‬ೄ༷࢜ͬ˶̷̸༷࢜͂ͦͦ೰̱̞݅̀ͥȅजດ͈ࡔത
͉Ȅ‫ܖݗޘ‬໐͈ಔ౯࿂͈ಎ૤̱̞͂̀ͥȅ! ଎ 3.3.1 ͉ૼ൲రȄRC ‫ݗޘ‬࿅߿ͅ୭౾̱̹‫௸ح‬ഽ͈ࠗպ౾ͬা̱̞̀ͥȅ଎ 3.3.2 ͉ࠥ‫͍ࠥݞ‬ષ͈ζᾼ୭౾̱̹‫௸ح‬ഽ͈ࠗպ౾ͬা̱̞̀ͥȅ‫௸ح‬ഽ͉̳͓ࠗ̀
΍Ȝδ߿‫௸ح‬ഽ̜ࠗ́ͥȅ଎ 3.3.3 ͉ȄRC ‫ݗޘ‬࿅߿‫͍ࠥͅݞ‬୭౾̱̹་պࠗպ౾
ͬা̱̞̀ͥȅέȜΙϋΈ͈຾ષͤȄ̳͓͈ͤ࠿੄͉ͅ
τȜΎȜ་պࠗͬဥ̞̞̀ͥȅ‫ݗޘ‬Ȅ͈ࠥఱ̧̈́་պͅ
̞͉̾̀χͼμȜ৆་պࠗͬဥ̞̞̀ͥȅ‫ݗޘ‬ၴ໐͈‫ڙ‬໐͉ͅχͼμȜ৆་պࠗͬೄ࢐̳̠ͥ͢ͅ୭౾̱Ȅ‫ݗ‬໐͉ࠗ௶‫ط‬రͤ͢০͛ͅχͼμȜ৆་պࠗͬ୭౾̱̞̀ͥȅ̤̈́Ȅ‫ݗޘ‬ၴ‫ئ‬໐͈‫؀‬ೄ་պ͉τȜΎȜ་պࠗͬဥ̞̀
̞ͥȅ

଎ 3.3.4 ͉‫ݗޘ‬ഛ౤ͅ୭౾̱̹२໦ႁࠗȪ२଼໦‫ك‬ਹࠗȫ̜́ͥȅ͈֚̾ࡥ೰঑ઇ͈‫ ͅئ‬8 రȄ͈֚̾ഢുཡ
গ঑ઇ͈‫ ͅئ‬4 రȄࠗ 32 ర͈२໦ႁࠗͬ୭౾̱̹ȅ଎ 3.3.5 ͉ȄRC ‫ݗޘ‬࿅߿ඤ໐͈৊༷࢜ഘ޼Ȅఝഘ޼ͅ୭౾̴̱̹͙͌ΊȜΐ͈պ౾ͬা̱̞̀ͥȅ৊༷࢜ഘ޼
͉ͅഘ޼͈ඤ௰͂‫ٸ‬௰̴͙͌ͅΊȜΐͬഡͤȄࠗ௶শͅެ଼̬໦ͬ௖फ़̱̀৊̴༷͙࢜͌ͬ࠿੄̱̞̀ͥȅఝഘ޼͉ͅഘ޼͈ષ࿂ͅഘ޼͈৊̴༷͙࢜͌ͅΊȜΐͬ୭౾̱̹ȅ
଎ 3.3.6 ͉Ȅ‫ܖݗޘ‬໐ͅ୭౾̱̹ެၚ௶೰ဥ͈་պࠗ
̜́ͥȅ་պ͉ࠗམે་պ̜ࠗ́ͥȅ‫ޘ‬৊༷࢜͂‫ޘ‬৊ೄ‫ެ͈༷࢜ڙ‬ၚͬ௶೰̳̠ͥ͢ͅȄ‫ڎ‬৊༷࢜ͅ 10 ర͈་պࠗͬ୭౾̱̹ȅ̯ͣͅȄ45 ഽ༷࢜ͅ‫ܖ‬໐͈͙ͅ‫ ڎ‬1 ర͈་պࠗͬ୭౾̱̹ȅ! ଎ 3.3.7 ͉Ȅ२ষࡓ་պ௶೰͈௶೰ത͂௶೰ത๔࣢ͬ
া̱̞̀ͥȅ௶೰ത͉ LED ͬဥ̞̹อ࢕ఘ̜́ͥȅࠗ௶͉Ȅໝତర͈΃ιρͬဥ̞̀‫௶ڎ‬೰ത͈୲చ་պͬࠗ௶
̱Ȅࢃੜၑ̀ͅέȜΙϋΈȪ47 ௶೰തȫ̥͈ͣ௖చ་պ
̀ͅນা̳̭̱̹ͥ͂ͅȅ

ນ3.3.1 !

ࠗ௶଼໦Table 3.3.1 Measuring points.
(a)Accelerometers
ID

Objective

Direction

Number ofchannels

A-1ȡ12

Table acceleration

X,Y,Z

12

A-13ȡ24

Footing acceleration

X,Y,Z

12

A-25ȡ39

Acceleration at the top of column (7.5m from the base)

X,Y,Z

15

A-40ȡ47

Acceleration at 6.0m from the base

X,Y

8

A-48ȡ55

Acceleration at 4.0m from the base

X,Y

8

A-56ȡ63

Acceleration at 2.0m from the base

X,Y

8

A-64ȡ105

Acceleration at Yp(W) deck and mass blocks on it

X,Y,Z

42

A-106ȡ147

Acceleration at Yn(E) deck and mass blocks on it

X,Y,Z

42

A-148ȡ153

Acceleration at Yp(W) end support

X,Y,Z

6

A-154ȡ159

Acceleration at Yn(E) end support

X,Y,Z

6

A-160ȡ167

Acceleration of center frame at 2.0m from the base

X,Y8

A-168ȡ175

Acceleration of center frame at 4.0m from the base

X,Y

8

A-176ȡ183

Acceleration of center frame at 6.0m from the base

X,Y

8

A-184ȡ191

Acceleration of center frame at 7.5m from the base

X,Y8(b)Load cells
ID
˨1ȡ32

Objective

Number of points

Inertia force at the top of the column

3 directions @ 32 load cells

21

Number ofchannels96ა໲ΗͼΠσȜಠ৪ྴ
防災科学技術研究所研究資料 第 331号

2009 年 1 月(c)Strain gauges
ID

Number ofpointsObjective

Number ofchannels˯-ˍȡ168

Strain of longitudinal bars

168

168

˯-169ȡ256

Strain of ties

8888(d) Displacement transducers
ID

Objective

D1ȡ16

Uplift and slide of the footing

D17ȡ24

Column displacement at 2.0m from the baseD25ȡ32

Column displacement at 4.0m from the baseD33ȡ40Column displacement at 6.0m from the baseD41ȡ48

Column displacement at 7.5m from the baseD49ȡ52

Vertical column displacement at the bottom of lateral beam

D53ȡ54
D55ȡ56
D57ȡ60D61ȡ64
D65ȡ74
D75ȡ84
D85ȡ94
D95ȡ104
D105ȡ108
D109ȡ112
D113ȡ116

Lateral displacement of movable bearing on Yp(W) end
support in longitudinal direction
Lateral displacement of movable bearing on Yn(E) end
support in longitudinal direction
Displacement of movable bearing on Yp(W) end support intransverse and vertical directions
Displacement of movable bearing on Yn(E) end support intransverse and vertical directions
Vertical displacement for curvature in Xp face
Vertical displacement for curvature in Xn face
Vertical displacement for curvature in Yn face
Vertical displacement for curvature in Yp face
Vertical displacement at the column baseVertical displacement between the top of the column andYp(W) deck
Vertical displacement between the top of the column andYn(E) deckNumber ofpoints4 @ 4 faces
2 directions@ 4 faces
2 directions@ 4 faces
2 directions@ 4 faces
2 directions@ 4 faces
2 points @ 2
faces

Number ofchannels
16
8
8
8
8
4

2

2

2

2

4

4

4

4

10
10
10
10
4

10
10
10
10
4

4

4

4

4


G Velocimeters
ID

Objective

˲1ȡ9

Acceleration, velocity and displacement measured at footing
by velocimeter˲10ȡ18Acceleration, velocity and displacement measured at the topof column by velocimeter

22

Number ofpoints
3 directions@3components
3 directions@3components

Number ofchannels99ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

଎3.3.1! ૼ൲రȄRC ‫ݗޘ‬࿅߿‫௸ح‬ഽࠗ୭౾պ౾
Fig.3.3.1! location of accelerometers on shaking table and column.

଎3.3.2! ࠥ‫௸ح‬ഽࠗ୭౾պ౾
Fig.3.3.2! location of accelerometers on super structure.

23ა໲ΗͼΠσȜಠ৪ྴ
防災科学技術研究所研究資料 第 331号

2009 年 1 月

଎3.3.3! RC ‫ݗޘ‬࿅߿་պࠗ୭౾պ౾
Fig.3.3.3! Location of displacement transducers.

24ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

଎3.3.4! RC ‫ݗޘ‬ഛ౤२໦ႁࠗ୭౾պ౾
Fig.3.3.4! Location of load cells.

଎3.3.5! 4% ‫ݗޘ‬࿅߿ഘ޼̴͙͌ΊȜΐ୭౾պ౾Fig.3.3.5! Location of strain gauges for reinforcing bars.

25ა໲ΗͼΠσȜಠ৪ྴ
防災科学技術研究所研究資料 第 331号

2009 年 1 月!
଎3.3.6! ެၚ௶೰ဥ་պࠗ୭౾պ౾
Fig.3.3.6! location of displacement transducers for curvature.

26ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか!

(a) ଷࢄ৒௰ୃ࿂̥ͣࡉ̹ৢ૯Ȫ1ȡ17 ๔ȫ! ! ! (b) ၔ௰̥ͣࡉ̹ৢ૯Ȫ18ȡ32 ๔ȫ( c ) ‫ئݗޘ‬໐͈ζȜ΃Ȝ෻౾Ȫ35ȡ47 ๔ȫ!
଎3.3.7!

२ষࡓ་պ௶೰! ζȜ΃Ȝ͈෻౾͂๔࣢‫ڬ‬൚̀
Fig.3.3.7! Location of markers for three dimensional displacement measurements.

27

防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004

౷ ນ ࿂ ̥ ͣ ૬ ̯ 12.6 m պ ౾ ͅ ̵ ͭ ౯ ౮ ଻ ෨ ௸ ഽ

3.4! වႁ౷ૼ൲
ࢹ௮໤ͅैဥ̳ͥ౷ૼ൲͉Ȅ‫ܖ‬யࢹ௮.ਔ༏౷๕ࠏ͈൲
എ௖ࡽैဥ࢘‫ͤ͢ͅض‬Ȅ౷ນ࿂ષ́۷௶̯ͦͥ౷ૼ൲ͅ
๤̷͓͈̀౷ૼ൲‫ޑ‬ഽ̦೩‫̥̩ͣࡣ̦̭̳͂ͥئ‬౶̞ͣͦ̀ͥ[3.4.1]ȡ[3.4.3]ȅ̷͈̹͛Ȅ৘षͅࢹ௮໤ͅैဥ̳
ͥ౷ૼ൲ͬခ࢘වႁ౷ૼ൲Ȅ౷ૼ൲‫ޑ‬ഽ̦೩‫̭̳͂ͥئ‬ͬවႁఅ৐͂ࡤ̭̦̜͐͂ͥḙ͈̠࡛̏̈́͢ય͉Ȅఉ̩͈ࢹ௮໤ͅଃఱ̈́๭‫ ̹̱̹ͣͬ͜ٺ‬1995 ා໶ࡩࡇධ໐
౷ૼ́͜۷௶̯̞ͦ̀ͥ[3.4.4]Ȅ[3.4.5]ȅࢹ௮໤͈৘໤ఱ
ૼ൲෫ٟ৘ࡑͬ࿒എ̱̹͂२ষࡓૼ൲෫ٟ৘ࡑঔ୭
ȪE-Defenseȫͬ၌ဥ̱̹ૼ൲৘ࡑ̤̞̀͜ͅḘ͈̏൲എ௖ࡽैဥ͈‫ࣉͬޣג‬ၪ̱̹ࠁ́‫ૼح‬৘ࡑ࣐̠͈̦ͬབ͘
̱̞ȅ̱̥̱ȄE-Defense ͕͈̓ఱ߿͈ૼ൲ర́͜Ȅ฼ྫࡠ౷๕̱͈͂̀෨൲͈֝८࡛ય൝ͬୈഽၻ̩࿅߿‫̳ͥا‬̧̭͉̞̹͂́̈́͛Ȅષ੆̱̹ခ࢘වႁ౷ૼ൲ͬ࿅߿ͅ
̽̀͢ठ࡛̳̭͉ͥ͂ඳ̱̞ȅඅͅȄచય̳͂ͥࢹ௮໤
͈࿅߿̦ఱ̧̩͕̈́ͦ͊̈́ͥ̓Ȅࢹ௮໤͂‫༷׿‬౷๕‫͈ۼ‬‫ݻ‬ၗ̦ౣ̩̹̈́ͥ͛Ȅ฼ྫࡠ౷๕̱͈͂̀‫ݷ‬൲ͬ࿅߿ͅ
̽̀͢৘࡛̳̭͉ͥ͂ͤ͢ඳ̱̩̈́ͥḙ͈̠̏̈́͢ે‫ޙ‬‫͉́ئ‬Ȅ !E-Defense ͈‫ͅૼح‬ဥ̞ͥවႁ౷ૼ൲̷͈͈͜
ͅ൲എ௖ࡽैဥͥ͢ͅ౷ૼ൲͈೩ࡘ࢘‫ࣉͬض‬ၪ̳ͥຈါ
̦̜ͥȅ!
ུ୯͉́Ȅ‫ૼح‬৘ࡑͅဥ̞ͥ࿅߿ࢹ௮໤ͬ‫ܖ‬யࡥ೰̱̹͂ાࣣͅȄ‫ૼح‬రͅैဥ̵̯ͥ౷ૼ൲ͅ൲എ௖ࡽैဥ
ͥ͢ͅ೩ࡘ࢘‫͈̓ͬض‬೾ഽࡉࣺ̞̥͈͛͊͢࠿൦࣐ͬ̽
̹ȅߓఘഎ͉ͅȄ1 ‫ئ͈ܖ‬໐ࢹ௮ȪSD ‫ݗޘ‬Ȇ‫ܖ‬யࢹ௮ȫ̷̦͂ͦ঑঵̳ͥષ໐ࢹ௮ਹၾͬၴါளȄਔ༏౷๕ͬ 2ষࡓ໹࿂̴͙͌ါள́κΟσ‫̱ا‬Ȅ౷๕͞‫͈ݗޘ‬๱஌ࠁ‫͂ا‬௖ࡽैဥͬࣉၪ̱̹౷ૼ؊൞ٜଢ଼࣐̞ͬȄুဇ౷๕ષ͈౷ૼ൲ͅ๤‫̱̀ڛ‬έȜΙϋΈષ͈౷ૼ൲͈‫ޑ‬ഽ̦͈̓೾ഽ೩‫࠿̥̳ͬͥئ‬൦̱̹ȅ!
!
3.4.1! చય̱̹͂౷๕͂ࢹ௮໤͈κΟσ‫!ا‬Ȫ1ȫచય̱̹͂౷๕͂‫ޘ‬ၴࢹ௮໤!
‫ܖ‬யࢹ௮.ਔ༏౷๕ࠏ͈൲എ௖ࡽैဥ࢘‫͉ض‬Ȅచય̳͂ͥ౷ૼ൲͈අ଻̽̀͢͜ͅ་‫̳ͥا‬ḙ̭͉̏́Ȅ
E-Defense ْ̯̞́ࠗͦ̀ͥ৘ఱ‫ޘ‬ၴࢹ௮໤ૼ൲෫ٟ৘
ࡑ́ဥ̞ͣͦͥȄKS వ৾‫ܱפ‬჏͈କ໹ 2 ଼໦ͬ࠿൦చય
̱̹͂ȅ!
۷௶౷ૼ൲͉ͅȄૼ࡙ι΃ΣΒθ͈අ଻Ȅૼ࡙̥ͣࢥ
‫ڠ‬എ‫ܖ‬๕࿂͈́͘ഥ෥අ଻Ȅ̤͍͢Ȅࢥ‫ڠ‬എ‫ܖ‬๕࿂̥ͣ౷ນ࿂̥̫͈̀ͅ௩໙අ଻̦ໝࣣ̱̹ࠁ́‫̞ͥ̀ͦ͘܄‬ȅJR వ৾‫ܱפ‬჏͉Ȅ౷ນ࿂ષ́۷௶̯̹ͦ౷ૼ൲͈̈́́Ȅນ௄౷๕͈௩໙අ଻̦฽‫̞̯ͥ̀ͦד‬ḙ͈̠̏̈́͢തͬ
ࣉၪ̱̀Ȅచય̱̹͂ນ௄౷๕͉ȄKS వ৾‫ܱפ‬჏̦۷௶̯̹ͦ౷๕[3.4.6]̱͂Ḙ̷̏ͅȄ1995 ා໶ࡩࡇධ໐౷ૼ
́๭ब̱̹ࣞ‫[ޘط‬3.4.7]̦࠺୭̯̞ͦ̀ͥાࣣͬே೰̱
̹ȅ!
!
Ȫ2ȫਹໝ฽ৣၑაͥ͢ͅවৣ෨͈ଔ೰!
JR వ৾‫פ‬ਔ༏͈౷๕಺औࠫ‫[ض‬3.4.6]ͬ४ࣉͅȄນ௄౷
๕ͬນ 3.4.1 ͅা̳ 8 ௄͈໹଼࣐௄ࢹ௮́κΟσ‫̹̱ا‬ȅ

VS >411 m s ͈௄͈ષ࿂̦̜ͤḘ̷̏ͬࢥ‫ڠ‬എ‫ܖ‬๕࿂̱͂Ȅ̷͈௄̦฼ྫࡠͅႲ௽̱̞̀ͥ͂‫ب‬೰̱̹ȅKS వ৾‫פ‬ਔ༏͈౷๕಺औ͉́Ȅ౷๕͈൲എ་ࠁඅ଻ȪG G0  J Ȅh  J ‫߸۾‬ȫ͉ං̞̞͈ͣͦ̀̈́́Ȅ‫࠺ݰ‬୭જാ࿐ࡄ‫ݪ‬ਫ਼͈ࡄ‫[ض଼ݪ‬3.4.8]Ȅ[3.4.9]ͬ४ࣉͅȄ଎ 3.4.1 ͅা̳̠͢
ͅκΟσ‫̹̱ا‬ȅ!
౷ນ࿂ષ́۷௶̯̹ͦ౷ૼ൲̥ͣȄࢥ‫ڠ‬എ‫ܖ‬๕࿂͈͒වৣ෨ȪႺ൮‫ܖ‬๕෨ȫ͈ଔ೰͉Ȅ1 ষࡓ͈ਹໝ฽ৣၑა
࣐̹̽̀̽͢ͅȅ౷๕͈ऺၳ๱஌ࠁ଻͉Ȅ൝‫͂଻࣠ث‬൝‫ࡘث‬ଚ೰ତ́ບ‫̦̹̱ث‬Ȅ̷ͦͣͬ଎ 3.4.1 ͅা̱̹౷
๕͈൲എ་ࠁඅ଻̥ͣ‫̹͛ͥ͛ͅݥ‬ຈါ̈́ခ̵࢘ͭ౯͌

J̴͙ eff ͉Ȅ৆(3.4.1)̽̀͢ͅ‫̹͛ݥ‬ȅ!
J eff

D  J max

! ! ! ! !

(3.4.1)!

̭̭́Ȅ!

J max ȇ౷๕ͅ୆̲ͥडఱ؊൞̵ͭ౯̴͙͌!
D ȇ൝‫ث‬஌ࠁ‫༹̞̤̀ͅا‬ခ̵࢘ͭ౯̴͙͌ͬ‫ͥ͛ݥ‬ष͈߸ତ!
ٜଢ଼͉́Ȅ౷๕͞ࢹ௮໤͈౷ૼ؊൞ͅఱ̧̈́‫ͬޣג‬ဓ̢̞̈́ࣞ૦൲ତ଼໦Ȫ 10I{ ոષȫ͉΃ΛΠ̱Ȅଔ೰̯ͦͥවৣ෨ͅ۷௶౷ૼ൲͉ͅంह̱̞̈́ࣞ૦൲ତ଼໦̦࡛
̞̠̱̹ͦ̈́͢ͅȅ!
൝‫ث‬஌ࠁ‫༹̞̤̀ͅا‬ခ̵࢘ͭ౯̴͙͌ͬ‫߸ͥ͛ݥ‬ତD ͈౵ͬ 0.1Ȅ0.2Ȅ0.3Ȅ0.4Ȅ0.5Ȅ0.6Ȅ0.65Ȅ0.7 ͂་‫ا‬̵̯̹ [3.4.10]!ȅ!!
଎ 3.4.2 ͉ȄD

0.3 ̱̹͂ાࣣ͈වৣ෨͈‫௸ح‬ഽ؊൞

Αβ·ΠσȪ 2E ນাȫ͂۷௶౷ૼ൲ͬ๤‫̜͈̹̱́͜ڛ‬ͥȅ଎͉ͅȄE-W ଼໦͈ࠫ‫ͬض‬া̱̜̀ͥȅ଎ͤ͢Ȅ౷ນ࿂ષ͂වৣ෨̞̠֑̞͉̜̦͂ͥȄٜଢ଼ࠫ‫͂ض‬۷௶ࠫ‫௸ح͈ض‬ഽ؊൞Αβ·Πσ͈ਔ‫ܢ‬අ଻͂؊൞Αβ·Πσ
τασ͈ఱ઀‫͉߸۾‬ାࣣ̱̞̭̦̥̀ͥ͂ͩͥȅ!
଎ 3.4.3 ͉Ȅ൝‫ث‬஌ࠁٜଢ଼ͥ߫ͤ͢ͅ༐̱ࠗॳ͈डਞ
౵Ȫਓ௵౵ȫͤ͢‫ڎ̹͛ݥ‬௄͈ခ̴͙࢘͌Ȅခ̴͙࢘͌
ͅ௖൚̳ͥ൝‫଻࣠ث‬Ȫ੝‫̵ͭܢ‬౯࣠଻ͅచ̳ͥ๤ȫ͂൝‫ࡘث‬ଚ೰ତͬা̳ȅ౷๕ͬ൝‫͂଻࣠ث‬൝‫ࡘث‬ଚ೰ତ́κΟσ‫̳ͥا‬ાࣣ͉ͅȄ౷๕͈࣠଻͂ࡘଚ೰ତ͉Ȅ଎ 3.4.1
ͅা̱̹౵ͬဥ̞̞̀ࠆ㧚28

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮

ນ 3.4.1
JR వ৾‫פ‬౷๕͈අ଻
Table 3.4.1 Soil profile at JR Takatori St..

Soil typeShear elastic
wave velocity(m/sec)Sand withgravel3(kN/m )

Silty fine sand
Sand with gravel
Clay
Sand with clay
Sand with gravel
Sandy clay
Sand with clay
Sand with gravel
Engineering bedrock

137
202
267
197
249
231
193
278
300

15.69
19.61
16.67
17.65
19.61
17.65
17.65
19.61
20.59

1
2
3
4
5
6
7
8

0
0.8
3.5
3.9
6.2
8.1
10.5
11.7
12.6

Shear modulus ratio G/G 0

Modulus ratio G/G0
Sand(0.0㨪0.8m)
Sand(0.8㨪3.5m)
Clay (3.5㨪3.9m)
Sand(3.9㨪6.2m)
Damping h
Sand
Clay

Sand(6.2㨪8.1m)
Clay (8.1㨪10.5m)
Sand(10.5㨪11.7m)
Sand(11.7㨪12.6m)

1.00

40

0.75

30

0.50

20

0.25

10

0.00
10 -6

10 -5

10 -4

ٖ Grand
water
level

10 -3

Shear strain ǫ

Damping ratio h (%)

Depth
No.
(m)

0

10 -2

Fig.-3.4.1‫ ޓ‬Strain-dependent characteristics of soil
଎ 3.4.1!

3

2

2

1

4
6
8

10
12

0
0.0



Engineering bedrock0

Observed at surface
Incident wave ǩ=0.30
h=0.05Depth (m)Acceleration response
spectra (g)ാ̵͈ͭ౯؊ႁ‫ࡘ͍ݞ‬ଚ೰ତ̵͂ͭ౯̴͙͈͌‫߸۾‬

14
0 0.1 0.2 0.3 0
Effective
strain(%)

1.0
1.5
2.0
Period (sec)
Fig.-3.4.2 Comparison of incident wave andsurface wave at JR Takatori St.
଎ 3.4.2

0.5

Fig.-3.4.3

0.4

0.8 0 10 20 30

Shear modulus
Equivalent
ratio
damping ratio(%)

Soil models of soft surface layers
at JR Takatori St.

଎ 3.4.3 ခ࢘ეȄ൝‫଻࣠ث‬Ȅ൝‫ࡘث‬ଚ೰ତවৣ෨͂ນ࿂෨͈‫௸ح‬ഽ؊൞Αβ·Π29

防災科学技術研究所研究資料
第 331号ა໲ΗͼΠσȜಠ৪ྴ2009 年 1 月Ȫ 3ȫ౷๕͂ࢹ௮໤͈κΟσ‫!ا‬଎3.4.4͉Ȅ࠿൦ͅဥ̞̹ٜଢ଼κΟσ̜́ͥȅນ௄౷๕>C @͉Ȅ໹࿂̴͙͌ါள́κΟσ‫̹̱ا‬ȅ໹࿂̴͙͌ါள͈
؈̧࣐༷͈࢜໙͉ȄέȜΙϋΈ໙Ȫ 9.5mȫ͂൳̲̱̹͂
[3.4.11]ȅ!

e h¦ i >K i @i 1Sf 0
! ! ! ! ! ! ! ! ! ! !!! (3.4.3)!

f0

1
TG !! ! ! ! !! ! ! ! ! ! ! !! !!! (3.4.4)!

෨൲͈֝८ͬࣉၪ̧̠́ͥ͢ͅȄೲ࿂ͅු଻‫ٮޏ‬ါளͬ୭̫̹ȅೲ࿂ු଻‫ٮޏ‬ါள͈ු଻ࡘଚ೰ତ C B ͉Ȅ৆̭̭́Ȅ!

hi ȇါள i ͈ࡘଚ೰ତ!

(3.4.2) ͅা̳̠͢ͅȄࢥ‫ڠ‬എ‫ܖ‬๕͂‫ب‬೰̱̹౷๕͈ྟഽ

f 0 ȇ‫ܖ‬੔૦൲ତ̭̭͉́́Ȅ౷๕͈ 1ষࡥခਔ‫ ܢ‬TG ̥

U ̵͂ͭ౯౮଻෨௸ഽ VS ̥ͣ‫̧̦̭ͥ́͂ͥ͛ݥ‬ȅ!
CB

U  VS ! ! ! ! ! ! ! ! ! ! !

ͣ‫̹͛ݥ‬ȅ!
2 ষࡓκΟσ͈౷๕͈൲എ་ࠁඅ଻Ȫ Hȡ Ϲ Ȅ̄ȡ Ϲ‫۾‬߸ȫ͈࠿൦͉ͅȄ଎ 3.4.3 ͅা̳ 2 ষࡓ͈൝‫ث‬஌ࠁ‫༹ا‬̥ͣ‫̹͛ݥ‬൝‫଻࣠ث‬κΟσ͂Ȅࣸ‫ެڒ‬஌ͬ஼ެ஌κΟσȪոࢃȄ H-D κΟσ̳͂ͥȫ́ນ̱Ȅੰ‫ك‬Ȇठश‫͈ك‬၎Ⴄͬ Massing ௱́κΟσ‫̹̱ا‬၎ႤκΟσ͈ 2 ਅ႒ͬဥ̞̹ḙ͉̏ͦȄ౷๕͈๱஌ࠁκΟσ̦։̈́̽̀͜Ȅஜ੆̱̹වৣ෨ͬවႁ౷ૼ൲̱͂̀‫̹͛ݥ‬౷ນ࿂ષ͈‫௸ح‬ഽ෨ࠁ̦۷௶౷ૼ൲ͬठ̧࡛́ͦ͊Ḙ̭̏́చય̱̞͂̀
ͥ࿚ఴ͉౷๕͈๱஌ࠁκΟσ͈֑̞ٜ̦̽̀͢ͅఱ̧̩
་‫̧́෇ږ̦̭̞͉͈̳͂̈́́ͥ͜ا‬Ȅං̹ٜ͈ͣͦ૞
ှഽ̦௩̳̥̜ͣ́ͥȅ!
౷๕ͬ൝‫͂଻࣠ث‬൝‫ࡘث‬ଚ೰ତ́κΟσ‫̳ͥا‬ાࣣ͉Ȅ౷๕͈ࡘଚ೰ତ͉Ȅ଎ 3.4.3 ͅা̳൝‫ࡘث‬ଚ೰ତͬ໹࿂
̴͙͌ါளͅဓ̢̹ȅ౷๕ͬ H-D κΟσ́κΟσ‫̳ͥا‬ાࣣ͉ͅȄ଎ 3.4.1 ͅা̳౷๕͈൲എ་ࠁඅ଻̤̫ͥͅ
๷઀̴͙͌শϹ>21.7 ͈ࡘଚ೰ତͬ໹࿂̴͙͌ါளͅဓ
̢̹ȅ‫ࢹ͈ݗޘ‬௮ࡘଚ೰ତ͉ 3&ͬ‫ུ̹̱͂ܖ‬ḙ͉̏ͦȄ‫͈ݗޘ‬஌ࠁ֖̤̫ͥͅࡘଚ࢘‫ͬض‬ນ̱̹͈̜́ͥ͜ȅ‫ޘ‬‫ͬݗ‬஌ࠁၴါள́κΟσ‫̳ͥا‬ાࣣ͉ͅȄ൝‫ࡘث‬ଚ೰ତ
̱͂̀ 5% ̦ဥ̞̭̦ͣͦͥ͂ఉ̞̦‫ڎ‬ٜଢ଼ΉȜΑ‫͈ۼ‬؊൞ͬ๤‫ ̠̞̳̱͢͞ͅڛ‬2% ́ൡ̱̹֚ȅ஌ࠁၴါள
́κΟσ‫ܖࢶ̹̱ا‬யȪࢶఘȫ͈൝‫ࡘث‬ଚ೰ତ͉ 5% ̱̹͂ȅ!
ٜଢ଼చય̱̹͂‫͉ݗޘ‬౲၂̱ͬခ̳ͥ RC ‫ݗޘ‬Ȫ C1-2ȫ
̜́ͤȄ৊༷࢜ഘ޼͈་‫ͅا‬؊̲̀ެ̬κȜιϋΠ.ެၚ
‫ͬ߸۾‬་‫̵̯ا‬Ȅ၎Ⴄඅ଻ͬ Takeda ߿κΟσ́ນ̱̹ȅ‫̦ࣛݗޘ‬໖ͅో̳ͥশ͈କ໹ႁͬକ໹ૼഽ́ນ̳͂࿩
0.5 ͂̈́ͥȅ!
KS వ৾‫ܱפ‬჏̦۷௶̯̹ͦ౷๕̤̞̀ͅȄ࠿൦చય‫ޘ‬͈ࢶ‫ܖ‬யͬ฼ྫࡠಿ͈ࢶ̱͂̀‫ب‬೰̧̥́ͥͬΙͿΛ·̱̹ȅ౷๕͈࣠଻̱͂̀๷ઁ̴͙͌শ͈࣠଻ͬဥ̞̀‫ݥ‬(3.4.2)!

௰༷͜ͅ෨൲͈֝८ͬࣉၪ̧̠́ͥ͢ͅ‫ͬ࠯ૄٮޏ‬୭೰̳ͥຈါ̦̜̦ͥȄ௰༷‫͉ٮޏ‬Ȅೲ࿂ු଻‫͉͂ٮޏ‬։̈́ͤȄນ࿂෨଼͈໦ͬ‫͚܄‬෨൲ͬ‫ݟ‬ਓ̵̯ͥຈါ̦̜
ͤḘ̏ͦͅ‫͉̱̀۾‬အș̈́೹մ̦̜ͥ [3.4.12]ḙ̭͉̏́Ȅࢃ੆̳̠ͥ͢ͅ౷๕͞‫͈ݗޘ‬๱஌ࠁ଻̧̺̫ͬ́ͥ಑৘
ͅ೏୥̳̭ͥ͂ͬ࿒എ̱̞͈͂̀ͥ́Ḙ̏ͦո͈ٜࣛଢ଼
ͬ஠̀শ‫ۼ‬ႀ֖࣐̠̭́͂͂Ȅೲ࿂ු଻‫̠͈͢ͅٮޏ‬໤ၑഎٜͅଢ଼κΟσ͈ΩριȜΗȜͬယօͅࠨ೰̳̭ͥ͂
̧̦̞́̈́‫͉࠯ૄٮޏ‬ဥ̞̞̞̠༷̈́͂ૻ͈‫ئ‬Ȅ௰༷‫ޏ‬‫ͬٮ‬କ໹༷࢜ͅ‫خ‬൲̱͂̀κΟσ‫̹̱ا‬ḙ͈̠̏̈́͢ࡣ
ങഎ̈́‫́͜࠯ૄٮޏ‬Ȅ಍࿒̱̞̀ͥࢹ௮໤̥ͣ௰༷‫ٮޏ‬̦਱໦ၗ̞ͦ̀ͦ͊௰༷͈͒෨൲͈֝८࡛યͬഐ୨ͅκΟσ‫̧̦̭͂ͥ́ا‬౶̤ͣͦ̀ͤȄ଎ 3.4.4 ͉́Ȅ਱໦‫༷׿‬ȪέȜΙϋΈ໙͈࿩ 10 ෼͈‫ݻ‬ၗ!= 100mȫͅକ໹༷࢜͂ٝഢ༷͉࢜ুဇȄ‫؀‬ೄ༷͉࢜ࡥ೰̳͂ͥυȜρȜͬ෻౾̱̹ȅ!

Rigid connections
at pile heads
The ground shall bemodelled as large
region as possible
so that the range inwhich the influenceof the dynamic
interaction of thestructure and theground may become
small enough
Viscousboundary

Weight of thesuperstructure
portion supportedby the substructure
body concerned

cast-in-place
RC pileIncident wave̹͛ࢶ͈අ଻౵
!

͂

଎!3.4.4! ౷๕͂‫ܖ‬ய͈௖ࡽैဥκΟσ!
Fig.3.4.4! Soil-structure interaction model.

E ͂ࢶಿ " ̥ͣ‫ ͥͦͣ͛ݥ‬E" ͬ‫ͥ͛ݥ‬E" 3.98 ! 3 ͂̈́ͤȄ฼ྫࡠಿ͈ࢶ̱͂̀‫ݷ‬൲̳̭ͥ͂̈́ͥͅȅ!
!
Ȫ 4ȫࡥခ૦൲අ଻!
଎ 3.4.5 ͉Ȅ౷๕̺̫ͬκΟσ‫ ̹̱ا‬2 ষࡓ FEM κΟσ͈ࡥခ૦൲κȜΡ̜́ͥȅນ 3.4.1 ͅা̳౷๕ͅ୆̲
̴͙̦ͥ͌Ϲ>21.7!শ̵͈ͭ౯࣠଻Ȫ੝‫଻࣠ܢ‬ȫͬဓ̢!

> @ු଻ࡘଚζΠςΛ·Α C ͉Ȅ৆ (3.4.3)͂৆ (3.4.4*ͅা
̳̠͢ͅါள࣠଻๤႕߿ࡘଚ̱͂̀κΟσ‫̹̱ا‬ȅ!

30

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮̹ાࣣ͉ 1 ষ͈ࡥခਔ‫ ͉ܢ‬UH!>0.23 ຟȄ଎ 3.4.3 ͅা̳ခ̴͙࢘͌Ϲ fgg!ͅ௖൚̳ͥ൝‫ͬ଻࣠ث‬ဓ̢̹ાࣣ͉ UH !
=0.37 ຟ͂̈́ͥȅ੝‫଻࣠ܢ‬Ȅ൝‫̴̞͈ͬͦ଻࣠ث‬ဥ̞̀͜Ȅ 1 ষ͂ 2 ষ͈ࡥခ૦൲κȜΡࠁ͉͕͖൳̲̈́ͥͅȅ!
଎ 3.4.6 ͉Ȅ‫ݗޘ‬.‫ܖ‬யࢹ௮.౷๕ࠏͬࣉၪ̱̹ 2 ষࡓ
FEM κΟσ͈ࡥခ૦൲κȜΡ̜́ͥȅ஠ఘࠏ͈ 1 ষ͉Ȅ‫͈ݗޘ‬૦൲̦స‫̤̱ͤ̀ק‬Ȅ̷͈ࡥခਔ‫͉ܢ‬౷๕͈࣠଻
̱͂̀൝‫ͬ଻࣠ث‬ဥ̞̹ાࣣ͉ͅ 0.44sec Ȅ੝‫ͬ଻࣠ܢ‬ဥ̞̹ાࣣ͉ͅ 0.43sec ͂̈́ͥȅ‫͈ݗޘ‬૦൲̦స‫ࡥ̳ͥק‬ခ૦൲κȜΡ͈ࡥခਔ‫͉ܢ‬Ȅ౷๕͈࣠଻͈‫͕ͭ͂ͬޣג‬̓਋̫̞̞̀̈́ȅ஠ఘࠏ͈ 2 ষ͉Ȅ౷๕͈૦൲̦స‫̱ק‬̤̀ͤȄ̷͈ࡥခਔ‫͉ܢ‬Ȅ଎ 3.4.5 ͈ (1)͕͖͂൳̲̜́ͥȅ!

Ȫ 5ȫ 2 ষࡓκΟσͥ͢ͅ۷௶౷ૼ൲͈ठ࡛଻!
଎ 3.4.7 ͈ (1)͉Ȅ౷๕ͅ଎ 3.4.3 ͅা̱̹൝‫͂଻࣠ث‬൝‫ࡘث‬ଚ೰ତͬဓ̢̹ 2 ষࡓ GFN κΟσͤ͢ං̹ͣͦ౷
ນ࿂ષ̤̫ͥͅ‫௸ح‬ഽ෨ࠁͬ๤‫̜͈̹̱ͥ́͜ڛ‬ȅවৣ෨͉Ȅ10Hz ոષ͈ࣞ૦൲ତ଼໦ͬ΃ΛΠ̱̀ଔ೰̯ͦ̀
̞̹ͥ͛ͅȄٜଢ଼ͤ͢‫̹͛ݥ‬౷ນ࿂ષ͈‫௸ح‬ഽ෨ࠁ͉ͅȄ۷௶̯̹ͦ‫௸ح‬ഽ෨ࠁ͙ͣͦͥࣞͅ૦൲ତ଼໦̦ईह̱
̞̞̦̀̈́Ȅၰ৪͈෨ࠁ͉ၻ̩߃য̱̞̭̦̥̀ͥ͂ͩ
ͥȅडఱ‫௸ح‬ഽ͉۷௶౷ૼ൲ٜͤ͢͜ଢ଼౵͈༷̦઀̯̞
̦Ḙ͉̏ͦ 10Hz ոષ͈ࣞ૦൲ତ଼໦ͬ΃ΛΠ̱̀වৣ෨ͬ‫̜̹̞ͥ́͛ͥ̀͛ݥ‬ȅ!
଎͈ಎ౲͉‫௸ح‬ഽ؊൞Αβ·Πσ̜́ͥȅਔ‫ ܢ‬0.2 ຟͤ͢͜ౣਔ‫ܢ‬௰́Ȅٜଢ଼౷ૼ൲͈‫௸ح‬ഽ؊൞Αβ·Πσ͈؊൞τασ̦ٜଢ଼౵ͤ͢͜઀̯̩̞̈́̽̀ͥതͬੰ̫
͊Ȅਔ‫ܢ‬අ଻͂؊൞τασ͉͂͜ͅၻ̩߃য̱̞̀ͥȅ!
଎͈‫ئ‬౲͉έȜςͿΑβ·Πσ̜́ͥȅٜଢ଼ࠫ‫͉ض‬۷௶ࠫ‫ͬض‬ၻ̩߃য̱̞̭̦̥̀ͥ͂ͩͥȅ!
଎ 3.4.7 ͈ (2)͉Ȅ౷๕ͬ H-D κΟσ́ນ̱̹ 2 ষࡓ GFN
κΟσͤ͢ං̹ͣͦ౷ນ࿂ષ̤̫ͥͅ‫௸ح‬ഽ෨ࠁͬ๤‫ڛ‬̱̹͈̜́ͥ͜ȅ଎͈ષ౲ͤ͢Ȅ൝‫ث‬஌ࠁ‫ا‬κΟσͬဥ̞̹ાࣣ͂൳အͅȄٜଢ଼ͤ͢ං̹ͣͦ౷๕͈‫௸ح‬ഽ෨ࠁ͉۷௶෨ࠁ̩ͬ͢ठ࡛̱̤̀ͤȄ‫௸ح‬ഽ؊൞͈άȜ·౵͜ -0.65g ͂̈́ͤȄ൝‫ث‬஌ࠁ‫ا‬κΟσͬဥ̞̹ાࣣͤ͢͜
۷௶౷ૼ൲ͅచ̳ͥ߃যഽ̦̩̞̭̦̥ࣞ̈́̽̀ͥ͂ͩ
ͥȅ!
଎͈ಎ౲ͅা̳‫௸ح‬ഽ؊൞Αβ·Πσ͉Ȅ൝‫ث‬஌ࠁ‫ا‬κΟσ͉́߃যഽ̦೩̥̹̽ਔ‫ ܢ‬0.2 ຟͤ͢ౣਔ‫ܢ‬௰ٜ́ଢ଼ࠫ‫͂ض‬۷௶ࠫ‫߃͈ض‬যഽ̦࢜ષ̱̞̭̦̥̀ͥ͂ͩ
ͥȅ̱̥̱Ȅ൝‫ث‬஌ࠁ‫ا‬κΟσ͉́ၻ̩߃য̱̞̹̀ 0.4
ຟັ߃͈‫௸ح‬ഽ؊൞Αβ·Πσ͈߃যഽ͉೩‫̞̱ͥ̀ئ‬ȅਔ‫ ܢ‬0.2 ຟͤ͢͜ౣਔ‫ܢ‬௰͈߃যഽ̦٨஝̯̹͈͉ͦȄ౷๕ͅ୆̵̲ͥͭ౯̴͙̦͌઀̯̞ႀ֖͉́ȄH-D κΟσ̵͈ͭ౯࣠଻ H) Ϲ *!̦൝‫ث‬஌ࠁκΟσ͈൝‫̵ͭث‬౯࣠଻ HȪ Ϲ fgg*!ͤ͢͜ఱ̧̩Ȅౣਔ‫଼ܢ‬໦̦൝‫ث‬஌ࠁ‫ا‬κΟσͤ͢͜‫̩ͥ́ޑ‬κΟσ̞̥̜͂̈́̽̀ͥͣ́ͥȅ!
଎͈‫ئ‬౲ͅা̳έȜςͿΑβ·Πσ͉Ȅ൝‫ث‬஌ࠁ‫ا‬κΟσ͂൳အٜͅଢ଼ࠫ‫̦ض‬۷௶ࠫ‫ͬض‬ၻ̩߃য̱̞̭̀ͥ
͂ͬা̱̞̀ͥȅ!
ոષͤ͢Ȅ౷๕ͬ໹࿂̴͙͌ါள́κΟσ‫ ̹̱ا‬2 ষࡓ FEM ٜଢ଼κΟσ͉Ȅਹໝ฽ৣၑაȪ 1 ষࡓ൝‫ث‬஌ࠁٜଢ଼ȫ͂൳೾ഽ͈ୈഽ́۷௶౷ૼ൲ͬ‫̧̦̭ͥ́͂ͥ͛ݥ‬̠͢ͅκΟσ‫̥̦̭̞̯ͥͩ͂ͥ̀ͦا‬ȅ!

(1) First mode (0.37 s for Equivalent stiffness,
and 0.23 s for Initial stiffness)(2) Second mode (0.12 s for Equivalent stiffness, and0.08 s for Initial stiffness)
଎ 3.4.5 2 ষࡓ౷๕ FEM κΟσ͈ࡥခ૦൲κȜΡ
Fig.3.4.5 Mode shapes of free field system.

(1) First mode (0.44 s for Equivalent stiffness,
and 0.43 s for Initial stiffness)(2) Second mode (0.35 s for Equivalent stiffness, and 0.22
s for Initial stiffness)
଎ 3.4.6 ‫ ݗޘ‬-‫ܖ‬யࢹ௮ -౷๕ࠏ 2 ষࡓ FEM κΟσ͈ࡥခ૦൲κȜΡ
Fig.3.4.6 Mode shapes of soil-structureinteraction model.

31Computed

0.0
-0.6
0.6

Observed

0.0
-0.6

0

5

10

Fourier amplitude (g㨯sec)

Acceleration response
spectra (g)3Max. -0.591g

Max. -0.679g

15

1

0
0.0

1.2

0.5

1.0
1.5
Period (sec)

0.8

0.4

0.1 0.2 0.5 1 2Period (sec)

0.0
-0.6
0.6

5

10

-0.6
0.6

Observed

0.0
-0.6

0

5

3

(1) Equivalent linear method
Fig.-3.4.7

Computed

0.0

2.0

Incident wave(2E)
Computed
Observed

0.0
0.03

Acc.(g)20(sec)

Incident wave(2E)
Computed
Observed
h=0.052

Acc.(g)-0.6
0.6

Incident wave (2E)
Max. -0.717g

0.6

Acceleration response
spectra (g)0.0

Acc.(g)Incident wave (2E)
Max. -0.717g

0.6Fourier amplitude (g㨯sec)

Acc.(g)Acc.(g)Acc.(g)

防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004

Max. -0.651g

Max. -0.679g

10

15

20
(sec)

Incident wave(2E)
Computed
Observed
h=0.05

2

1

0
0.0

1.2

0.5

1.0
1.5
Period (sec)

2.0

Incident wave(2E)
Computed
Observed

0.8

0.4

0.0
0.03

0.1 0.2 0.5 1 2Period (sec)5(2) Nonlinear method

Comparison of acceleration and spectrum between observed andanalysis at ground surface

଎ 3.4.7!! ! ۷௶෨ࠁٜ͂ଢ଼෨ࠁ͈‫௸ح‬ഽ͂‫௸ح‬ഽ؊൞Αβ·Πσ͈๤‫!ڛ‬
!
!
!

32

10

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮

3.4.2! 2 ষࡓ FEM ൲എٜଢ଼ͥ͢ͅ‫ݗޘ‬-‫ܖ‬யࢹ௮-౷๕ࠏκΟσͥ͢ͅ‫௸ح‬ഽ؊൞!
଎ 3.4.8 ͉Ȅٜଢ଼ͤ͢ං̹ͣͦ‫ܖݗޘ‬໐ȪέȜΙϋΈષȫ͂‫༷׿‬౷๕̤͍͢۷௶౷ૼ൲͈‫௸ح‬ഽ؊൞Αβ·Πσͬ๤‫̜͈̹̱ͥ́͜ڛ‬ȅ!
଎͈ (2)͉Ȅ౷๕ͬ൝‫ث‬஌ࠁκΟσ́ນ̱Ȅ‫ͬݗޘ‬஌ࠁၴါள́κΟσ‫̹̱ا‬ાࣣ͈ࠫ‫̜ͥ́ض‬ȅ‫௸ح‬ഽ؊൞Αβ·Πσͬ‫ܖݗޘ‬໐͂‫༷׿‬౷๕́๤‫̳͂ͥڛ‬Ȅਔ‫ ܢ‬1.1ຟͤ͢͜ౣਔ‫ܢ‬௰́‫ܖݗޘ‬໐͈؊൞τασ̦઀̯̩̈́̽
̞̭̦̥̀ͥ͂ͩͥȅ!
଎͈ (3)͂ (4)͉Ȅ౷๕͈๱஌ࠁ଻ͬ H-D κΟσ́ນ̱Ȅ(3)͉‫ͬݗޘ‬஌ࠁၴါளȄ(4)͉‫ͬݗޘ‬๱஌ࠁၴါள́κΟσ‫̹̱ا‬ાࣣ͈ࠫ‫̜ͥ́ض‬ȅ‫ܖݗޘ‬໐͈؊൞ͬ‫௸ح‬ഽ؊൞Αβ·Πσ̽̀͢ͅນ̳͂Ȅ‫͈ݗޘ‬๱஌ࠁ଻͈‫͉ޣג‬͕࡛̞̞̭̦̥͂ͭ̓ͦ̀̈́͂ͩͥȅ଎͈ (2)ͅা̱̹౷
๕͈๱஌ࠁ଻ͬ൝‫ث‬஌ࠁ‫ا‬κΟσ́ນ̱̹ાࣣͤ͢͜Ȅ‫ܖݗޘ‬໐ͬ‫௸ح‬ഽ؊൞Αβ·Πσ̦‫༷׿‬౷๕̷͈ͦͤ͢
͜઀̯̩̈́ͥਔ‫ܢ‬ఝ̦Ȅਔ‫ ܢ‬1.0 ຟͤ͢͜ౣਔ‫ܢ‬௰̤͂̈́̽̀ͤȄ̷͈ํս̦‫̞̩ͥ̀̽̈́ޛ̥ͅޱ‬ఈ͉Ȅ౷๕͈๱஌ࠁ଻͈ࣉၪ͈ॽ༷֑̞͉ͥ͢ͅȄ̷͕ͦ̓ಠ̱̞͜
͈͉̞́̈́ȅ!

!

Acceleration response
spectra (g)!

far way point(far field)
L=90mbottom of pier3

Bottom of pierFar field (L=90m)
Observed
h=0.05

2

1

0
0.0

Predominant period
Pier
Surface motion
0.5(100m)

3

Bottom of pierFar field (L=90m)
Observed
h=0.05

2

1

0
0.0

Predominant period
Pier
Surface motion
0.5

1.0
1.5
Period (sec)

2.0(3) Ground ȇ NonlinearȄ Pierȇ Linear

Acceleration response
spectra (g)Acceleration response
spectra (g)(1) Point of view

1.0
1.5
Period (sec)

3

2

1

0
0.0

2.0

(2) Groundȇ Equivalent linearȄ Pierȇ Linear

Bottom of pierFar field (L=90m)
Observed
h=0.05

Predominant period
Pier
Surface motion
0.5

1.0
1.5
Period (sec)

2.0(4) Ground ȇ NonlinearȄ Pierȇ Nonlinear଎ 3.4.8 ⸃ᨆߦࠃࠆ‫ܖݗޘ‬໐ȪέȜΙϋΈષȫ͂‫༷׿‬౷๕̤͍͢۷௶౷ૼ൲͈‫௸ح‬ഽ؊൞Αβ·Πσ๤‫!ڛ‬
Fig.3.4.8 Comparison of acceleration response spectra at the bottom of pier and far field (EW component).

33

防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004

3.4.3! ൲എ௖ࡽैဥͬࣉၪ̱̹වႁ౷ૼ൲͈೩ࡘ࢘‫!ض‬! ଎ 3.4.9 ͉Ȅ‫ܖݗޘ‬໐͂‫༷׿‬౷๕͈؊൞ͬ‫௸ح‬ഽ؊൞
Αβ·Πσ๤̽̀͢ͅାၑ̱̹͈̜́ͥ͜ȅ଎͈ (1) ͉Ȅ౷๕ͬ൝‫ث‬஌ࠁ‫ا‬κΟσ́ນ̱̹ાࣣ͂ H-D κΟσͬဥ̞̹ાࣣ͈๤‫́ڛ‬Ȅ‫͉ݗޘ‬஌ࠁၴါள́κΟσ‫̯ͦا‬̞̀ͥȅ଎͈ (2)͉Ȅ౷๕͉ H-D κΟσͬဥ̞Ȅ‫ͬݗޘ‬஌ࠁၴါள́κΟσ‫̹̱ا‬ાࣣ͂๱஌ࠁၴါள́κΟσ‫ا‬̱̹ાࣣͬ๤‫̜͈̹̱ͥ́͜ڛ‬ȅ଎͉ͅȄJR వ৾‫ܱפ‬჏͈ N-S ଼໦͂ E-W ଼໦ͬවႁ̱̹ાࣣ͈ࠫ‫ͬض‬ඊၛͅা̱̞̀ͥȅ౷๕͞‫͈ݗޘ‬κΟσ‫̩̈́߸۾̞֑͈ͅا‬Ȅ೩ࡘၚ͈डఱ౵͉Ȅ‫͈ͦة‬ાࣣ͜࿩ 50%̜́ͥȅ!
! ଎͈ (1)ͤ͢Ȅ౷๕͈๱஌ࠁ଻ͬ൝‫ث‬஌ࠁ‫ا‬κΟσ̱̹͂ાࣣ͂ H-D κΟσ̱̹͂ાࣣ͉́Ȅ൝‫ث‬஌ࠁ‫ا‬κΟσ͈༷̦‫̥ͅޱ‬೩ࡘၚ̦ఱ̧̩ං̞̭̦̥ͣͦ̀ͥ͂ͩͥȅ൝‫ث‬஌ࠁ‫ا‬κΟσȄ H-D κΟσ͂͜ͅȄ‫͈ݗޘ‬૦൲̦స‫ࡥ̳ͥק‬ခ૦൲κȜΡ͈ࡥခਔ‫ͤ͜͢ܢ‬ಿਔ‫ܢ‬௰̈́ͥ͂ͅȄවႁ౷ૼ൲͈೩ࡘၚ̦ఱ̧̩೩‫̥̦̭̳ͥͩ͂ͥئ‬ȅඅ ͅ Ȅ H-D κ Ο σ ́ ͉ Ȅ ̭ ͈ ߹ ࢜ ̦ ಠ ̱ ̞ ȅ! ଎͈ (2)ͤ͢Ȅ‫͈ݗޘ‬؊൞̦๱஌ࠁ֖ͅවͥ͂Ȅ೩ࡘၚ̦઀̯̩̭̦̥̈́ͥ͂ͩͥȅ೩ࡘၚ͈་‫͈ا‬အঊ͜։̈́
ͤȄ‫̦ݗޘ‬஌ࠁ֖̜ͥͅાࣣ͉Ȅ౷๕͈૦൲̦స‫̳ͥק‬ࡥခ૦൲κȜΡ͈ࡥခਔ‫͈ݗޘ̥ͣܢ‬૦൲̦స‫ࡥ̳ͥק‬ခ૦൲κȜΡ͈ࡥခਔ‫́ۼܢ‬೩ࡘၚ͉͕͖֚೰̜́ͥȅ!
̱̥̱Ȅ‫͈ݗޘ‬؊൞̦๱஌ࠁ֖ͅවͥ͂Ȅ౷๕͈૦൲
̦స‫ࡥ̳ͥק‬ခ૦൲κȜΡ͈ࡥခਔ‫ࡥ̥ͣܢ‬ခਔ‫̦ܢ‬ಿ̩̈́ͥ͂͂͜ͅ੭șͅ೩ࡘၚ̦೩‫̳ͥئ‬ȅ!
‫͈ݗޘ‬૦൲̦స‫ࡥ̳ͥק‬ခ૦൲κȜΡ͈ࡥခਔ‫ͤ͢ܢ‬͜ಿਔ‫ܢ‬௰́වႁ౷ૼ൲͈೩ࡘ࢘‫̠̞̩̯͂ͥ̈́઀̦ض‬মય͉Ȅ໹଼ 12 ා 6 ࠮ͅ٨ୃ̯̹ͦ࠺ಃ‫ܖ‬੔༹ঔ࣐႓͈
ࡠ‫ٮ‬ఛႁࠗॳ༹͈ಎͅ൵ව̯̹ͦ൲എ௖ࡽैဥ࢘‫͜ͅض‬฽‫[ ̞̯ͥ̀ͦד‬3.4.13]!ȅ̱̥̱Ȅષ໐ࢹ௮໤͈࣠଻Ȫࡥခਔ‫ܢ‬ȫ̦শ‫ۼ‬എͅ་‫̳ͥا‬ાࣣ͈೩ࡘၚ͈ဓ̢༷͉ͅȄ̺͘ఉ̩͈‫ه‬ఴ̦ॼ̯̞ͦ̀ͥȅ౷๕͞‫͈ݗޘ‬๱஌ࠁκΟσ̴͈֑̞̥̥ͩͣͅȄਔ‫ ܢ‬1.0 ຟͤ͢͜ಿਔ‫ܢ‬௰͉́Ȅවႁ౷ૼ൲͈೩ࡘ࢘‫̞͕͉̈́̓ͭ͂ض‬ḙ̏ͦͅ‫̱۾‬̀͜Ȅ౷๕͞‫͈ݗޘ‬൲എඅ଻̺̫̩́̈́Ȅවႁ౷ૼ൲͈
අ଻̦‫ͬޣג‬ဓ̢̞̀ͥ‫خ‬ෝ଻̦̜ͤȄࣽࢃ͈࠿൦‫ه‬ఴ
̜́ͥȅ!
!

!
!
!
!
!
!
!
!
!
!

34

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮

1.0

0.5

0.0
0.0

1.5

GroundEquivalent linear
Nonlinear

Input loss ratio

Input loss ratio

1.5

Predominant period
Pier
Surface motion
0.5

1.0
1.5
Period (sec)

1.0

0.5

0.0
0.0

2.0

GroundEquivalent linear
Nonlinear

Predominant period
Pier
Surface motion
0.5

1.0
1.5
Period (sec)

2.0(a)EW component(b)NS component(1) Comparison between equivalent soil model and nonlinear soil model

Pier

1.0

0.5

0.0
0.0

1.5
LinearNonlinear

Input loss ratio

Input loss ratio

1.5

Predominant period
Pier
Surface motion
0.5

1.0
1.5
Period (sec)

1.0

0.5

0.0
0.0

2.0

(a)EW component

Pier

Predominant period
Pier
Surface motion
0.5

1.0
1.5
Period (sec)(b)NS component(2) Comparison between linear pier model and nonlinear pier model଎ 3.4.9 ਔ෨ତႀ֖͈́වႁ౷ૼ൲͈೩ࡘ࢘‫ض‬
Fig.3.4.9! Variation of input loss ratio with period.
!
!
!
!
!
!
!
!
!
!
!
!
!

35

LinearNonlinear2.0

防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004

3.4.4 ৘ఱ‫ޘ‬ၴࢹ௮໤ૼ൲෫ٟ৘ࡑ́ဥ̞ͥවႁ౷ૼ! !
൲౷๕ͬ 2 ষࡓ໹࿂̴͙͌ါள́κΟσ‫̱ا‬Ȅ 1 ‫ئ͈ܖ‬໐ࢹ௮Ȫ RC ‫ݗޘ‬.ࢶ‫ܖ‬யࠏȫ̷̦͂ͦ঑঵̳ͥષ໐ࢹ௮
ਹၾ̥ͣ̈́ͥࢹ௮ࠏͅैဥ̳ͥ౷ૼ൲̦Ȅ൲എ௖ࡽैဥ
͈̽̀̓͢ͅ೾ഽ೩ࡘ̳̥ٜͥͬଢ଼എͅ࠿൦̱̹ȅˍਅ႒͈౷๕͂‫ݗޘ‬Ȅ౷ૼ൲ͬచય̱̹̺̫͈͂࠿൦͉̜́
̦ͥȄષܱ͈ٜଢ଼̥ͣո‫̦ض̠͈ࠫ̈́͢ئ‬ං̹ͣͦȅ!
1)έȜΙϋΈષ࿂̤̫ͥͅවႁ౷ૼ൲͈೩ࡘ࢘‫͉ض‬Ȅडఱ́࿩ 50%̜̦͂ͥȄ‫͈ݗޘ‬૦൲̦స‫ࡥ̳ͥק‬ခ૦൲κȜΡͅ௖൚̳ͥࡥခਔ‫ͤ͜͢ܢ‬ಿਔ‫ܢ‬ႀ֖͉́Ȅ೩ࡘ࢘‫͉ض‬੭șͅ೩‫̱ئ‬Ȅਔ‫ ܢ‬1 ຟͤ͢͜ಿਔ‫ܢ‬௰͉́೩ࡘ
࢘‫̞͉̈́ض‬ȅ!
2)౷๕͈๱஌ࠁ଻ͬ൝‫ث‬஌ࠁ̱̹͂ાࣣͤ͢͜Ȅ๱஌ࠁ၎ႤκΟσ́ນ̱̹ાࣣ͈༷̦೩ࡘ࢘‫͉ض‬೩‫̳ͥئ‬ȅ!
3)‫̦ݗޘ‬஌ࠁ؊൞̳ͥાࣣͤ͢͜๱஌ࠁ؊൞̳ͥાࣣ
͈༷̦Ȅ೩ࡘ࢘‫̞̯઀͉ض‬ȅ!
ոષ͈ࠫ‫ͬض‬൩̢̀͘ȄC1-1 ৘ࡑ͉́Ȅ1995 ා໶ࡩࡇධ໐౷ૼ̤̞̀ͅ JR వ৾‫͈פ‬ਔ༏౷๕ષ́۷௶̯̹ͦ
‫ܱૼޑ‬჏͈ 80%ͅ௖൚̳ͥ౷ૼ൲ͬවႁ౷ૼ൲̱͂̀न!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
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!
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!
!
!
!
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!
!

36

ဥ̳̭̱̹ͥ͂ͅȅུ୯͈࠿൦ͦ͊͢ͅȄ೩ࡘၚ͉ਔ‫ܢ‬ջం଻ͬခ̱̤̀ͤḘ̏ͦͬୃ‫ͅږ‬වႁ౷ૼ൲ͅ฽‫̯ד‬̵̠̳͂ͥ͂͢Ȅ΂ςΐ΢σ͈۷௶ܱ჏̦ခ̱̞̹̀ਔ
‫ܢ‬අ଻͜་‫̠̱̱̀͘ا‬ȅ͂ͤ͜͢Ȅ‫ޘ‬ၴ࠺୭౷ത͈౷
๕ૄ࠯͞‫ܖ‬யૄ࠯̽̀͢ͅခ࢘౷ૼ൲͉་‫̧͈͓̳͜ا‬̜̦́ͥȄ͈ࣽٝ C1-1 ৘ࡑ͉́ 1970 ාయͅ࠺୭̯̹ͦ
ດ੔എ̈́‫͈ݗޘ‬෫ٟඅ଻ͬࡄ‫̦̭̳͂ͥݪ‬࿒എ̜́ͤȄඅ೰͈̜ͥ‫͈ݗޘ‬ఛૼ଻ͬ࠿൦̳̭̦ͥ͂࿒എ͉̞́̈́ȅ̹͘Ȅ‫ڎ‬ਅૄ࠯́౷ૼ൲͈අ଻͉ໝॠͅ་‫̦̳ͥا‬ȄαϋΙζȜ·৘ࡑ̱͉͂̀Ḙ̠̱̏̀ࡢșͅଔ೰̯ͦͥ౷
ૼ൲ͬဥ̞̭ͥ͂ͤ͢͜ȄȨ 1995 ා໶ࡩࡇධ໐౷ૼ͈ष
ͅ۷௶̯̹ͦ‫ܱૼޑ‬჏ȩͬවႁ̱͂̀ঀဥ̳̭͈ͥ͂փ
ྙ͈༷̦ఱ̧̞ȅ!
ոષ͈ത̥ͣȄC1-1 ৘ࡑͅဥ̞ͥවႁ౷ૼ൲̱͉͂̀Ȅ΂ςΐ΢σ͈˦ˮవܱ৾჏͈ਔ‫ܢ‬අ଻͉་‫̴̵̯ا‬Ȅ૦໙අ଻̺̫ͬ΂ςΐ΢σ͈ 80%ͅ೩ࡘ̵̯̭̱̹ͥ͂͂ȅ΂ςΐ΢σ͈ܱ჏͂ߊ༆̳̹ͥ͛ͅḘ̏ͦͬȨ৘౷ૼ൲τασȩ͈౷ૼ൲͂ࡤ̭̳͐͂ͥͅȅ!
!

! ! ! ! ! ! ! ! ! ! ! ! ! !

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮

3.5.2! ૼ൲ర͈ॽအ
ૼ൲ర͈଻ෝ͉Ȅ൏श‫خ‬ෝਹၾȆ‫ح‬૦ႁȆडఱ௸ഽȆडఱ་պ̈́̓̽̀͢ͅນ̯ͦͥȅນ 3.5.1 ͅȄૼ൲ర͈଻ෝͬা̳ȅ଻ෝ́࿒ͅັ̩͈͉Ȅ̷͈൏शෝႁ͂་պ
ၾ͈ఱ̧̯̜́ͥȅ৘ఱ৘ࡑ࣐̠̭ͬ͂ͬ৽࿒എ̱̹͂
̭͈ॽအͤ͢ͅȄଲ‫ٮ‬डఱܰ࿅͈ૼ൲ర͂ઠ̱̞̀ͥȅಎ઀ܰ࿅૦൲ర͉́ੀ઀৘ࡑ͜৘ঔ̳̹ͥ͛Ȅশ‫ۼ‬৊ͬੀ઀̱̹๤‫ڛ‬എఱ̧̈́‫௸ح‬ഽ଻ෝ̦ါ‫̦̯ͥͦݥ‬Ȅ
E-Defense ͈৘ࡑ͉৘ఱ৘ࡑͬ‫ུ̹̳͛ͥ͂ܖ‬Ȅ͚̱ͧ௸ഽȆ་պͅఱ̧̈́଻ෝ̦ါ‫̯ͥͦݥ‬ȅນͅࠇ̬̹ତ౵͉Ȅ໶ࡩࡇධ໐౷ૼ͈́ૼഽ 7 ͅ௖൚̳ͥ౷ૼ൲Ȅߓఘഎ͉ͅȄ1995 ා໶ࡩࡇධ໐౷ૼ͈षͅ JR వ৾‫ܱ́פ‬჏̯̹ͦ౷ૼ෨ࠁͬठ̧࡛́ͥ౵̞͂̈́̽̀ͥȅକ໹༷࢜͂‫؀‬ೄ༷͈࢜ਔ෨ତ͂ୟशৗၾͅచ؊̱̹‫ح‬૦ࡠ‫଻ٮ‬ෝ̾ͅ
̞̀଎ 3.5.2 ͅা̳ȅ̤̈́ȄE-Defense ͈ૼ൲ర͉Ȅ৘ఱ͈ࢹ௮໤ͅచ̱̀৘ष͈౷ૼͬၛఘഎͅ࿅̳̭̦݀ͥ͂
੄ြ̭̥ͥ͂ͣȄ̢̜̀ૼ൲̞̠͂ۧলͬਰ̀̀ૼ൲ర
͂ࡤ̞ͭ́ͥȅ

3.5! ‫ح‬૦ૄ࠯!
ْࠗ‫ٳ‬ই̷̥̤ͣ͢ 10 ා͈प࠮ͬࠐ̹ 2005 ා 3 ࠮Ȅ໶ࡩࡇ२࿐ঌͅ৘ఱ२ষࡓૼ൲෫ٟ৘ࡑঔ୭ȪՔઠȇ
E-Defenseȫ଼̦̱̹ۖȅ̷͈‫׋‬ဥ͉ 2005 ා 4 ࠮ͤ͢‫ٳ‬ই̯ͦḘ͈̏ͦ́͘ 3 ා‫׋͈ۼ‬ဥ̀ͅ 26 ‫ه‬ఴ͈৘ࡑͬత
̩ͤ̈́ଛ࣐̱̞̀ͥȅ̷͈ಎ́͜Ȅࣽٝ৘ঔ̯̹ͦഘ޼
΋ϋ·ςȜΠ‫͈ݗޘ‬৘ఱ෫ٟ৘ࡑ͉Ȅ͕͖஠͈̀໅‫ͬك‬঑̢ͥ‫ͬݗޘ‬෫ٟ̳̭ͥ͂ͤ͢ͅȄड͜ඳ̱̞৘ࡑ̯͂
̹ͦḙ̭͉̏́ȄE-Defense ͈‫ح‬૦ͅ‫ૼͥͩ۾‬൲ర͈ॽအȄ‫ح‬૦ΏΑΞθȄ৘ࡑ̤̫ͥͅ‫ح‬૦ૄ࠯̞̾̀ͅ੆͓ͥȅ
3.5.1 ૼ൲ర͈ࢹ଼

ນ 3.5.1
ૼ൲ర͈ॽအ
Table 3.5.1 Major specification of shaking table.
3D Full-scale earthquake testing facility
Payload

12 MN (1,200 tonf)Size

20 × 15 m

Driving TypeAccumulator charge
Electro-Hydraulic servo control

଎3.5.1ૼ൲ర͈࿅৆଎
Fig.3.5.1 Shaking table of E-Defense.
૦൲ర͉͂Ȅ౷࿂̈́̓ͅࡉၛ̹̀ࣙୋ͈ภͅ൲എͺ·Ιν΀ȜΗͬႲ̱ࠫȄͺ·Ιν΀ȜΗͬςͺσΗͼθ́ଷࢄȄߐ൲̳̭ͥ͂̽̀͢ͅȄ૦൲రͅ൏श̱̹ࢹ௮໤
͈౷ૼ؊൞ͬ ठ࡛̳̹͈ͥ͛௡౾̜́ͥȅ଎ 3.5.1 ͅ
E-Defense ͈ૼ൲ర͈࿅৆଎ͬা̳ȅ20mȿ15m ͈ࣙୋ͈ૼ൲ΞȜήσͅͺ·Ιν΀ȜΗ̦Ȅକ໹ඵ༷࢜ͅ 5 ‫̴ܥ‬̾͂‫؀‬ೄͅ 14 ‫ ͈ࠗܥ‬24 ‫̞̫ͥ̀ͦͣັͤ৾ܥ‬ḙ͈̏ࣙୋ͈ΞȜήσ̺̫́Ȅ800t ߃̞ৗၾ̦̜ͥȅͺ·Ιν΀ ȜΗ͈฽ႁ͉ਔս͈΋ϋ·ςȜΠୋ͈‫ܖ‬ய̦໅౜̳
̦ͥȄ̷͈‫ܖ‬ய͈ਹၾ̦ 20 ྔ t ̜ͥ͜ȅૼ൲ర͈डఱ൏
शਹၾ̦ 1,200t ̜͈́ͥ́Ȅૼ൲రུఘ̵ࣣ̹͂ͩ 2,000t͈‫ૼح‬ਹၾͅచ̱̀Ȅ100 ෼͈ਹၾ́೷ࢯ̱̞̫̀ͥͩ
̜́ͥȅ̷ͦ́͜डఱ‫ૼح‬ಎ͈৘ࡑ൓ඤ͉́Ȅ20 ྔ t ͈‫ܖ‬ய̱ͬٚ̀ૼഽ 1,2 ೾ഽ͈‫ૼ̥̈́ޱ‬൲̦ഥ̩ͩ̽̀ͥȅ

Shaking direction

X & Y Horizontal

Z Vertical

Max. acceleration*> 9 m/s/s> 1.5 m/s/s

Max. Velocity

2 m/s

0.7 m/sMax. displacement

1m

0.5 m

Max. allowable

Overturning

YawingMomentMomentMoment

150 MN × m

40 MN × m

* Max. acceleration is at max. loading.

37防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004(a)କ໹༷࢜! ! ! ! ! ! ! ! ! ! ! ! ! ! ! (b) ‫؀‬ೄ༷࢜
଎ 3.5.2! ‫ح‬૦ࡠ‫଻ٮ‬ෝ
Fig.3.5.2 Performance limits of shaking table.

38

㪱㪄㪇㪉

㪰㪄㪇㪈

㪰㪄㪇㪉

㪰㪄㪇㪋

㪰㪄㪇㪊

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㪏㪌㪇㪇

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㪱㪄㪇㪋

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㪱㪄㪇㪈

㪱㪄㪈㪋

㪱㪄㪇㪌
㪋㪉㪌㪇

㪯㪄㪇㪉
㪱㪄㪇㪍

㪱㪄㪈㪊

x

㪋㪉㪌㪇

㪉㪇㪇㪇㪇

Tz

㪯㪄㪇㪊

y

㪏㪌㪇㪇

㪈㪇㪇㪇㪇

㪱㪄㪇㪊

x y

㪌㪌㪇㪇

㪰㪄㪇㪌

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかა໲ΗͼΠσȜಠ৪ྴ

㪱㪄㪇㪎

㪱㪄㪈㪉
㪯㪄㪇㪋

㪱㪄㪇㪏

㪱㪄㪇㪐

㪱㪄㪈㪇

㪱㪄㪈㪈
㪯㪄㪇㪌

㪊㪇㪇㪇

㪌㪌㪇㪇

㪊㪇㪇㪇

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㪍㪇㪇㪇

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z
Ty

㪌㪌㪇㪇

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㪐㪇㪌

x

㪈㪐㪋㪇

㪉㪎㪌㪇

㪈㪌㪇㪇㪇

zx
଎ 3.5.3 ૼ൲ర͈‫ح‬૦‫ܥ‬෻౾պ౾‫͍ݞ‬଱༹
Fig.3.5.3 Actuators position and size of E-Defense.

39

防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004

3.5.4! ૼ൲ర͈‫ح‬૦ΏΑΞθࢹ଼
Ȫ1ȫ‫ح‬૦ଷࢄ͈ࢹ଼
ૼ൲ర̦൲̩̹͉͛ͅȄ‫ح଼̯ͥͦࢹͥ͢ͅܕܥ‬૦‫ܥ‬ࢹ̷͂ͦͬഩ‫ܨ‬૞࣢́ௌै̳ͥଷࢄࠏ̦ຈါ͂̈́ͥȅ଎
3.5.5 ͅૼ൲ర͈‫ح‬૦ଷࢄ͈ࢹ଼ͼιȜΐͬা̳ȅ! ଷࢄࠏ̞͉̾̀ͅȄTVCȪthree valuable controlȫଷࢄ͂ૼ൲ర̦࿳գͺ·Ιν΀ȜΉߐ൲̯̭ͦͥ͂ͤ͢ͅ
୆̲ͥ࿳ಔ‫ވ‬૦ͬဲ̢ͥΦΛΙέͻσῌͥ͢‫ུܖ‬ଷࢄ͂Ȅୟश̯̹ͦࢹ௮໤ͥ͢ͅ‫ح‬૦෨ࠁ͈၄ͦͬ೩ࡘ̳ͥ
؊ဥଷࢄͤ͢ͅࢹ଼̯ͦͥȅTVC ͂؊ဥଷࢄ́ဥ̞ͥ฽
໘වႁ༞ੲ̞͉̾̀ͅ༆ഷܱश̳ͥȅ

3.5.3! ૼ൲ర͈‫ܕܥ‬෻౾͂ࠗ௶ΏΑΞθ͈‫ॽུܖ‬အ! ૼ൲ర͈‫ح‬૦‫ܥ‬෻౾պ౾‫ૼ͍ݞ‬൲ర଱༹̞̾̀ͅ଎
3.5.3 ͅা̳ȅ‫ڎ‬ͺ·Ιν΀Ȝῌ͉Ȅ̷͈‫ح‬૦༷࢜ͅࡤ
؊̱̹ྴઠ̦ັ̫̞ͣͦ̀ͥȅࠗ௶ΏΑΞθ͈ΙλϋΥσତȄA/D ໦ٜ଻ෝȄडఱ΍ϋίςϋΈਔ෨ତ൝͈‫ུܖ‬ॽအͬນ 3.5.2 ͅা̳ḙ̏ͦͅ‫̢̀ح‬Ȅૼ൲రඤ໐ͅ‫ڒ‬ො̱̹ A/D ͺϋί͈‫ॽུܖ‬အ̞ܱ̾̀͜ͅश̳ͥȅ଎
3.5.4 ͅȄদࡑఘ৾ͤͅັ̫̹Γϋ΍̥ͣ A/D ͺϋί̱ͬٚ̀ࠗ௶ଷࢄ൓͒૞࣢̦ၠͦͥͼιȜΐ଎ͬা̳ȅৢ૯͈༷༷࢜͂‫͉ڙ‬Ȅ̜̩́͘͜௡౾ȄΓϋ΍൝͈୭౾́
४ࣉ̯͈̜͂ͦͥ́ͤ͜Ȅ৘ࡑ৪̦೰͛ͥවႁ‫ح‬૦͈༷࢜ͬࠨ͈͉̞͛ͥ́̈́͜ȅ೙ᓮ♽

ນ 3.5.2!
ࠗ௶ΏΑΞθ͈‫ॽུܖ‬အ
Table 3.5.2! Major specification of monitoring system.

ᔕ↪೙ᓮ⸘᷹䊂䊷䉺䈱ၮᧄ઀᭽ၮᧄ೙ᓮ䍟䍊䍻䍦䍷ᢙ

㪘㪆㪛ಽ⸃⢻ᦨᄢ䍙䍻䍪䍽䍶䍻䍖䍼๟ᵄᢙ೙ᓮ↪䊂䊷䉺䋨㔡േบᔕ╵䍡䍼㪄䍞䋩

㪍㪋㪺㪿

㪉㪋㪹㫀㫋

㪉㫂㪟㫑

⹜㛎૕⸘᷹䍡䍼䍎
䍞৻⥸䍙䍻䍪䍽䍶䍻䍖䍼 䌄䌃䍏䍻䍪䍽

㪏㪇㪇㪺㪿

㪉㪋㪹㫀㫋

㪉㫂㪟㫑

৻⥸䍙䍻䍪䍽䍶䍻䍖䍼 㪘䌃䍏䍻䍪䍽

㪍㪋㪺㪿

㪉㪋㪹㫀㫋

㪉㫂㪟㫑

㜞ㅦ䍙䍻䍪䍽䍶䍻䍖䍼

㪊㪉㪺㪿

㪈㪍㪹㫀㫋

㪈㪤㪟㫑

㪐㪍㪇㪺㪿

㪄

㪄

⸘

䈵䈝䉂ဳ䇮㔚࿶౉ജဳ䇮䉰䊷䊗ဳ䇮䌌䌖䌄䌔䋨䋶䋴䌣䌨䋺৻⥸䍙䍻䍪䍽䍶䍻䍖䍼
䋩

᷹ቯ䊧䊮䉳

䈵䈝䉂ဳ䋺㪉㪇㪇㪃㩷㪌㪇㪇㩷㪃㪈㫂㪃㩷㪉㫂㪃㩷㪌㫂㪃㩷㪈㪇㫂㪃㩷㪈㪇㪇㪃㪇㪇㪇㱘㱑䋨㪙㪭䋽㪈㪇㪭ᤨ䋩䈠䈱ઁ 䋺㪈䌾㪈㪇㪃㪇㪇㪇䈱䉭䉟䊮䉶䊦䊐䉼䉢䉾䉪

౉ജ䉋䉍ၮḰ㔚࿶䉕ශട䈚䈩䉝䊮䊒ౝㇱ䈱䊧䊔䊦䉼䉢䉾䉪䉕ⴕ䈉ടᝄᯏ᭴䍏䍣䍹䍖䍼䍗䍎䍪䍼䍷䇭㪏㪐㪍ᧄ䋨࿕ቯ㈩✢䋩! ‫ح‬૦ૄ࠯͉ͅȄ؊ဥଷࢄͬဥ̞̞̈́ાࣣ̜́̽̀͜Ȅවႁ෨̦Ȅ་պȄ௸ഽȄ‫௸ح‬ഽ૦໙̤̞̀ͅ‫ح‬૦ࡠ‫ٮ‬ඤ̜̭ͥ͂ͬͅཡब‫਀̳ͥخݺ̱෇ږ̦ࡄش‬ਜ਼̦̜ͥȅ̹͘Ȅ‫ح‬૦ͅຈါ̈́ͺ΅νθτȜΗ͈஠ഫ੄ၾ̦ 20kl ͈̹͛Ȅවႁ෨͈‫ح‬૦ͅຈါ̈́ၾ̜̥̲ٜͬͣ͛ଢ଼́‫̱෇ږ‬Ȅ̷͈ํսඤ̜̭́ͥ͂͜ૄ࠯̱̞͂̀ͥȅ䋴䋸⧌శ䍗䍎䍪䍼䍷㪉ᧄ䇭䋨㪉㫂㪟㫑↪㪊㪉⧌䋩䇭䇭䇭䇭䇭䇭 䇭䇭䇭䇭䇭䇭䋨㪈㪤㪟㫑↪㪊㪋⧌䋩䋨㔡േบᄌ૏䈮ㅊᓥ䈪䈐䉎䉋䈉චಽ䈭䈢䉎䉂䉕䉅䈢䈞䉎䋩㪱ゲਃᰴర⛮ᚻ䃂ᔕ↪೙ᓮ1ȫ‫ུܖ‬ଷࢄ! ૼ൲ర͈‫ུͥ̈́͂ܖ‬ଷࢄ̜́ͤȄ‫௸ح‬ഽȄ௸ഽȄ་պͥ͢ͅέͻȜΡΨΛ·ଷࢄȅ͈̓‫׋‬ഢ͜ͅဥ̞ͥȅଷࢄΏΑΞθͅழ͙ࣺ̤ͦ̀ͤ͘Ȅ৘ࡑͬૺ͛ͥࡄ‫ݪ‬৪ͥ͢ͅ་ࢵ͉‫̞̯̈́ͦخݺ‬ȅ
2ȫ؊ဥଷࢄ! ‫ح‬૦ଷࢄ࢜ષ͈̹͛Ȅ‫ུܖ‬ଷࢄͅັ‫̱̀ح‬ဥ̞ͥଷࢄ
਀༹ȅ࿒ດ౵ͬ಺ା̳ͥέͻȜΡέ΁χȜΡଷࢄȅ৘ࡑͬૺ͛ͥࡄ‫ݪ‬৪̦ຈါ̳͂ͥાࣣḘ͈̏ଷࢄΏΑΞθͬဥ̞̀වႁ༞ੲ෨ͬै଼̱Ȅ̷͈වႁ̦་պȄ௸ഽȄ‫ح‬௸ഽ૦໙̤̞̀ͅ‫ح‬૦ࡠ‫ٮ‬ඤ̜̭ͥ͂ͬͅཡब‫ږ̦ࡄش‬෇̱̀Ȅૼ൲రͬ‫ح‬૦̳ͥȅ⸘᷹↪䍚䍼䍊䍻䍖䍚䍌䍻䍬䍼䍍䍖䍛㪍㪋㪺㪿㬍㪈㪊䊱ᚲ㪊㪉㪺㪿㬍㪉䊱ᚲ⸘᷹↪㪘㪆㪛ౝ⬿䍏䍻䍪䍽䇭䇭䇭䇭64ch㬍13䊱ᚲ䇭䇭䇭䇭32ch㬍2䊱ᚲ䂾䊉䉾䉼䊐䉞䊦䉺䈮䉋䉎଎ 3.5.5 ૼ൲ర͈‫ح‬૦ଷࢄ͈ࢹ଼
Fig.3.5.5 Construction of shaking control method.

䍏䍣䍹䍖䍼䍗䍎䍪䍼䍷䇭㪏㪐㪍ᧄ㔡േบ䂾䌔䌖䌃䈮䉋䉎๟ᵄᢙ․ᕈ

䂾෻ᓳ౉ജ⵬ఘ

⸘᷹䍜䍻䍙㪄⹜㛎૕䃂ၮᧄ೙ᓮᴤᩇ౒ᝄኻᔕ╬⸘᷹↪A/Dౝ⬿䉝䊮䊒䈱ၮᧄ઀᭽ㆡ↪䉶䊮䉰䊷

೙ᓮᚻᴺ⸘᷹೙ᓮ᫟䈱෼㍳ⵝ⟎䈻

⸘᷹೙ᓮ
㨆
ർ

Ȫ2ȫ‫ح‬૦ΏΑΞθࢹ଼! ଎ 3.5.6 ͅૼ൲ర͈‫ح‬૦ΏΑΞθࢹ଼ͬȄଷࢄࠏ͂‫ح‬૦‫͈ۼࢹܥ‬૞࣢͈ၠͦ͂‫ͅވ‬া̳ȅଷࢄࠏ͉Ȅ୶ͅ੆͓̹̤͂ͤ‫ུܖ‬ଷࢄȄΦΛΙέͻσΗȪ଎ಎ͈ ResonanceComp. ȫȄ ව ႁ ༞ ੲ ෨ ͬ ୆ ଼ ̳ ͥ ؊ ဥ ଷ ࢄ Ȫ ଎ ಎ ͈
Reference Generatorȫ͂‫حڎ‬૦৊༷͈࢜ௌैၾͬ 24 ུ͈
ͺ·Ιν΀Ȝῌ໦෻̳ͥ་࣐۟Ⴅͬழ͙ࣺ̺ͭ௡౾ͅ
ͤ͢ࢹ଼̯ͦͥȅ‫ح‬૦‫͉ࢹܥ‬Ȅ΍Ȝδ༕͂ΏςϋΘͬਹါ̈́ࢹ଼ါள̳͂ͥ࿳գ‫ح‬૦‫ࢹܥ‬Ȅͺ·Ιν΀ȜΗ͂ૼ

᧲

㨄

㨅
⷏

଎ 3.5.4
Fig.3.5.4

ධࠗ௶‫͈ܕܥ‬෻౾ͼιȜΐ଎
Sketch of arrangement of monitoring
Equipments.

40

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかა໲ΗͼΠσȜಠ৪ྴ‫۾‬ତȪG(Ў)ȇЎ͉‫׫‬૦൲ତȫͬ಺͓ͥḙ̏ͦͬඅ଻෤՜
‫ح‬૦͂ࡤ͐ȅ
2ȫ̭͈ഥో‫۾‬ତˣ͈‫۾ݙ‬ତˣ -1 ͅȄૼ൲ర́ठ࡛̱̹̞

൲రͬࠫ͐ςϋ·‫ࢹܥ‬Ȅૼ൲రͤ͢ͅࢹ଼̯ͦͥȅ‫ح‬૦শ͉ͅȄ ૼ൲ర͉দࡑఘ̥ͣ฽ႁͬ਋̫̭̦ͥ͂̈́ͥͅḘ͈̏‫ͬޣג‬۱გ̳͈̦ͥȄ୶ͅ੆͓̹؊ဥଷࢄ̜́ͥȅ଎ͤ͢໦̥̦ͥȄૼ൲ర͈ેఠၾȪ‫௸ح‬ഽȄ௸ഽȄ་պ൝ȫ͉Ȅુͅ‫ུܖ‬ଷࢄ‫ͅܕ‬έͻȜΡΨΛ·̯ͦȄ̷ͦ̽̀͢ͅௌैၾ̦ࠨ͛ͣͦ੄ႁ̯ͦͥȅ࿒ດ෨ͬවႁ̱̀༞ੲ෨(0)ͬैୋ̱Ȅૼ൲రͅවႁ̱ૼ
൲ర੄ႁ෨ࠁ(1)ͬࠗ௶̳ͥȅ
3ȫૼ൲ర੄ႁ෨ࠁ(1)͂࿒ດ෨͈ࢋओͬˣ -1 ͅවႁ̱Ȅ୶ͅවႁ̱̹༞ੲ෨(0)ͬ‫̱̀ॳح‬Ȅठ࡛ୈഽ̹ͬࣞ͛༞ੲ
෨(1)ͬैୋ̳ͥȅठഽȄૼ൲రͅවႁ̱ૼ൲ర੄ႁ෨ࠁ
(2)ͬࠗ௶̳ͥȅ
4ȫ̭͈ैުͬ 3 ̥ٝͣ 4 ٝ߫ͤ༐̳ȅ
5ȫडਞ͈༞ੲ෨ͬවႁ෨̱͂̀৘ࡑͅဥ̞ͥȅ

೙ᓮ♽

ടᝄᯏ᭴

଎ 3.5.6 ૼ൲ర͈‫ح‬૦ΏΑΞθࢹ଼
Fig.3.5.6! Control flame and signal flow of shaking system.

TVC䋺
TVC䋺Three Variable ControllerȪ3ȫTVC ਀༹Ȫ3 ་ତଷࢄ਀༹ȫུ̞̾̀ͅ‫ޘ‬ၴ͈৘ࡑࡄ‫͈ݪ‬ಎ́ત̳͉ٚͥͅ৹ۙ։ৗ̈́মࣜ
̦͂̈́ͥȄࣽࢃ͈ఱܰ࿅৘ࡑ̷͈̀ͅ‫ح‬૦଻ෝ͈ࣞୈഽ
‫̦ا‬ါ‫̹̯ͦݥ‬ાࣣ͈ 1 ͈̾చ؊໐պ̹ܱ͂̈́ͥ͛੆̳
ͥȅ‫ུܖ‬ଷࢄࠏ͈‫ུܖ‬ଷࢄ‫ ̜ͥ́ܕ‬TVC ਀༹Ȫ3 ་ତଷࢄ਀༹ȫ͉Ȅૼ൲ర͈‫ح‬૦଻ෝͬࠨ͛ͥਹါ̈́໐պ̜́ͥḙ͈̏ TVC ਀༹̞̾̀ͅߓఘഎͅ੆͓ͥ͂Ȅ࿒ດ౵Ȫ૦൲ర́ठ࡛̱̹̞౷ૼ෨ࠁȫ͂૦൲ర͈؊൞౵Ȫ་պȄ௸ഽȄ‫௸ح‬ഽ͈ 3 ̾ȫ͈ࢋओͅ೰߸ତͬ઺ॳ̱̀ௌै૞࣢
̳͂ͥέͻȜΡΨΛ·͈໐໦͂Ȅ࿒ດ౵͈་պȄ௸ഽȄ‫௸ح‬ഽ̷̸ͦͦͅ೰߸ତͬ઺ॳ̱̀Ȅ̷ͦͬௌै૞࣢͂
̳ͥέͻȜΡέ΁χȜΡ໐ͤ͢ͅࢹ଼̯ͦͥȅߓఘഎ͉ͅȄΟΐΗσ૞࣢ੜၑΕέΠ̷͂ͦͬश̵ͥΧȜΡ͂ࣉ̢̀ၻ̞ḙ͈̏೰߸ତ̞͉̾̀ͅȄૼ൲రୋैশͅ಺ା
‫׋‬ഢ̽̀͢ͅࠨ̤͛ͣͦ̀ͤȄ๊͉֚ͅ་ࢵ̦‫̯ͦخݺ‬̞̈́ȅ̱̥̱Ȅඅͅૼ൲ర͈‫ح‬૦଻ෝͅ‫ͬޣג‬ဓ̢ͥఱܰ࿅ࢹ௮໤৘ࡑ̞͉̾̀ͅȄ‫ح‬૦଻ෝ̞̾̀ࣞͅୈഽ‫ا‬͈ါ‫̹੄̦ݥ‬ાࣣȄ‫ུܖ‬ଷࢄࠏ͈ΩριȜΗ͈་ࢵ̾ͅ
̞̀࠿൦̧̳͓ͥ͂ࣉ̢ͥȅzzᄌ૏䋬ㅦᐲ䋬ടㅦᐲ䈱3ᄌ૏䋬ㅦᐲ䋬ടㅦᐲ䈱3ᄌᢙ䉕૶↪
⁁ᘒ㊂䉕৻⥌䈘䈞䉎䉋䈉䈮௛䈒

଎ 3.5.7 TVC ଷࢄ̞̾̀ͅ
Fig.3.5.7 ! Signal flow of TVC method.
䊶ၮᧄ೙ᓮ䋫ᔕ↪೙ᓮ෻ᓳ౉ജ⵬ఘᴺ䋨౉ജ⵬ఘ)․ᕈᛠីടᝄ

G(Z)

G1
⋡ᮡᵄ

G1

G1

㩿ෳ⠨䋺ਃ⪉㊀Ꮏᬺ 䇸㔚᳇ᴤ࿶ᑼᝄേบ䈱ടㅦᐲᵄᒻ೙ᓮ䇹㪀଎ 3.5.8 වႁ༞ੲȪ؊ဥଷࢄȫͥ͢ͅ༞ੲ෨ै଼͈਀ਜ਼
Fig.3.5.8 Input reference modification with iterativetechnique.

Ȫ4ȫවႁ༞ੲȪ؊ဥଷࢄȫ̞̾̀ͅ؊ဥଷࢄ͉Ȅૼ൲ర͈‫ح‬૦෨͈ठ࡛ୈഽͬ࢜ષ̵̯ͥ
̹͛Ȅ‫ུܖ‬ଷࢄͅັ‫̱̀ح‬ဥ̞ͥଷࢄ਀༹̜́ͥȅ࿒ດ౵̳͂ͥ෨ࠁ̷͈ͬ͘͘වႁ̵̴Ȅ̴͘দࡑఘͬୟश̱
̹ૼ൲ర͈؊൞ͬ‫̱෇ږ‬Ȅ̷͈ૂ༭̥ͣ෨ࠁ଼ͬ߿̱̀
වႁ‫ح‬૦༹̳༷̜ͥ́ͥȅ଎ 3.5.8 ͅ؊ဥଷࢄ̜́ͥව
ႁ༞ੲȪ฽໘වႁ༞ੲ༹ȫͥ͢ͅ༞ੲ෨ै଼͈਀ਜ਼ͬা
̳ȅ̷͈਀ਜ਼͉ո‫̜ͥ́ئ‬ȅ
1ȫૼ൲ర‫ح‬૦͈ঐ႓૞࣢̱͂̀ρϋΘθ෨ȪγχͼΠΦ
ͼΒȫͬවႁ̱Ȅවႁ̥ͣૼ൲ర؊൞͈́͘ਔ෨ତഥో

3.5.5! C1-1 ৘ࡑ̤̫ͥͅ‫ح‬૦ૄ࠯!
Ȫ1ȫ൳೰‫ح‬૦̞̾̀ͅ
൳೰৘ࡑ͉́ȄদࡑఘͅρϋΘθ෨ȄΩσΑ෨͈‫ح‬૦࣐̞ͬȄদࡑఘ͈ࡥခ౵͂ࡘଚ೰ତͬ಺͓̞̀ͥȅ̷͈ࢃȄ৘ࡑ͈ഽͅΩσΑ෨͈‫ح‬૦࣐̞ͬȄদࡑఘ͈൲අ଻
͈‫̞࣐ͥ̀̽ͬ෇ږ‬ȅඅͅȄΩσΑ෨̞͉̾̀ͅȄ10Hz

41

防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004

͈ sin ෨ͬ 3 ༷࢜ͅশ‫̴̱̀ͣͬۼ‬൳শවႁ̳̭ͥ͂́Ȅ‫ح‬૦͈࢘ၚͬ଎̹̽ȅ‫ح‬૦͈ਅ႒Ȅ༷࢜Ȅ૦໙Ȅਓ჏শ‫ۼ‬Ȅ΍ϋίςϋΈ‫ڞۼ‬ȄέͻσΗੜၑ൝͈֚Ⴒ͈‫ح‬૦Ȇࠗ௶ૄ࠯̞͉̾̀ͅȄນ 3.5.3Ȫ1ȫ̥ͣນ 3.5.3Ȫ4ȫ̮ͬ။̧̞̹̺̹̞ȅ೒ͤȄਲြͅྫ̞ඳ̱̞৘ࡑ̜̭́ͥ͂͂Ȅಿਔ‫ͬاܢ‬ࡉࣺ̺ͭ༞ੲ෨̦ࡉࣺ͙͂։̹̈́̽ાࣣȄًഽ͈༞ੲͅ
ͥ͢‫ح‬૦௩໙͈‫̭̜̦͂ͥͅ଻ࡏܓ‬෻ၪ̱Ȅષܱਲြ͈
වႁ༞ੲͬဥ̞̀‫ح‬૦෨ࠁͬैୋ̱වႁ̳̭̱̹ͥ͂͂ȅठܱ̦͂̈́ͥȄ‫ح‬૦ૄ࠯͉ͅȄ؊ဥଷࢄͬဥ̞̞̈́ા
ࣣ̜́̽̀͜Ȅවႁ෨̦Ȅ་պȄ௸ഽȄ‫௸ح‬ഽ૦໙̤ͅ
̞̀‫ح‬૦ࡠ‫ٮ‬ඤ̜̭ͥ͂ͬͅཡब‫̳ͥخݺ̱෇ږ̦ࡄش‬਀ਜ਼̦̜ͥȅ̹͘Ȅ‫ح‬૦ͅຈါ̈́ͺ΅νθτȜΗ͈஠ഫ
੄ၾ̦ 20kl ͈̹͛Ȅවႁ෨͈‫ح‬૦ͅຈါ̈́ၾ̜̥̲ͬͣ
ٜ͛ଢ଼́‫̱෇ږ‬Ȅ̷͈ํսඤ̜̭́ͥ͂͜ૄ࠯̱̞͂̀
ͥȅ

Ȫ2ȫ౷ૼ෨‫ح‬૦̞̾̀ͅ
ࣽٝ৘ঔ̱̹ഘ޼΋ϋ·ςȜΠ‫͈ݗޘ‬৘ఱ෫ٟ৘ࡑ͉Ȅ࿩ 300t ͈໅‫ͬك‬঑̢ͥ‫̬ެͬݗޘ‬෫ٟ̳̭ͥ͂ͬ࿒എ
̱̹͈͂́͜Ḙ͈̏ͦ́͘৘ࡑ́ड͜‫́ࡏܓ‬ඳ̱̞৘ࡑ
̜̹́̽ȅडਞ͈౷ૼ൲ͥ͢ͅ‫ح‬૦́ဥ̞ͥ౷ૼ෨ࠁ͈
༞ੲ༹༷̞̾̀ͅȄထ͛Ȅ෫ٟͥ͢ͅদࡑఘ͈ಿਔ‫اܢ‬ͬࡉࣺ̺ͭ༞ੲ෨ͬैୋ̳̭ͥ͂͜࠿൦̱̹̦Ȅષ੆͈

!

42

ᤨೞ



ᣣઃ

43////



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////









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ࡄ࡞ࠬᵄ

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:;<ゲ

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ታ㛎⚳ੌᓟ

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

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/



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;ゲ

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ࡄ࡞ࠬᵄ

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ࡄ࡞ࠬᵄ

࡜ࡦ࠳ࡓᵄ

ࡃ࡜ࡦࠬ ਛ┙ᤨ//





///





/‫ޓ‬ICNICNICNICNICNICNICN

ICN

ICN

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⋡ᮡടᝄ
࡟ࡌ࡞

*\

*\

*\

*\

*\

*\

*\

*\

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#'(

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#'(

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

࠮ࡦࠨ
㩖㨱㨼㩣ฬ

ᯅ᪞

࠮ࡦࠨ
㩖㨱㨼㩣ฬ

,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$㓸㍳ࡉࡠ࠶ࠢ,$㨪,$

㓸㍳
ࡉࡠ࠶ࠢ

UGE

೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE

*\
*\
*\

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*\
*\

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1((

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ᯅ᪞

ᯅ᪞

ᯅ᪞

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ᯅ᪞

ᯅ᪞

,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$㓸㍳ᣇᑼ,$㨪,$ߩ㩅㨺㩘㩨ടㅦᐲߪਇ⺞
,$㨪,$ߩ㩅㨺㩘㩨ടㅦᐲߪਇ⺞
,$㨪,$ߩ㩅㨺㩘㩨ടㅦᐲߪਇ⺞
,$㨪,$ߩ㩅㨺㩘㩨ടㅦᐲߪਇ⺞
,$㨪,$ߩ㩅㨺㩘㩨ടㅦᐲߪਇ⺞
,$㨪,$ߩ㩅㨺㩘㩨ടㅦᐲߪਇ⺞
,$㨪,$ߩ㩅㨺㩘㩨ടㅦᐲߪਇ⺞
,$㨪,$ߩ㩅㨺㩘㩨ടㅦᐲߪਇ⺞
,$㨪,$ߩ㩅㨺㩘㩨ടㅦᐲߪਇ⺞

㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ,$㨪,$ߩ㩅㨺㩘㩨ടㅦᐲߪਇ⺞

஻⠨,$㨪,$ߩ㩅㨺㩘㩨ടㅦᐲߪਇ⺞

஻⠨㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㓸㍳ᣇᑼ㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ,$㨪,$એᄖߩ㩅㨺㩘㩨ဳടㅦᐲ⸘ߩ㨻㩧㩖㩩⸳ቯࠍ㩅㨺㩘㩨ߦߒ‫ޔ‬㩔㩨㩡㩧㩇ታᣉ 㩅㨺㩘㩨ဳടㅦᐲ⸘ߩߺ㩔㩨㩡㩧㩇

೨UGE
ਛUGE
ᓟUGE
೨UGE
ਛUGE
ᓟUGE
೨UGE
ਛUGE
ᓟUGE
೨UGE
ਛUGE
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೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGEUGE*\㩅㩧㩖㩩㩢㩧㩂㩨 ࡠ࡯ࡄࠬ๟ᵄᢙ ࡈࠖ࡞࠲

*\㩅㩧㩖㩩㩢㩧㩂㩨 ࡠ࡯ࡄࠬ๟ᵄᢙ ࡈࠖ࡞࠲

ో࠴ࡖࡦࡀ࡞ࡃ࡜ࡦࠬ

෼㍳
ᤨ㑆

ടᝄ᧦ઙ

ടᝄ
๟ᵄᢙ



෼㍳
ᤨ㑆

ടᝄ
ᣇะ

⋡ᮡടᝄ
࡟ࡌ࡞

⹜㛎⇟ภ

ടᝄ
๟ᵄᢙ
UGEടᝄᣇะᘠࠄߒട㔡ਛ

ടᝄ᧦ઙ/

⹜㛎⇟ภ





ᤨೞ

 

ᣣઃ

Table 3.5.3㧔1㧕Large-scale tests on a component models(C1-1model) 6th Dec 2007.

ນ3.5.3㧔1㧕 ‫ޘ‬ၴ΋ϋεȜΥϋΠ৘ࡑ)C1-1 ৘ࡑ*! 12 ࠮ 6 ඾দࡑ͈‫ح‬૦Ȇࠗ௶ૄ࠯

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか//////











/ 

/

44
ゲ

ゲ

ゲ

ゲ

ゲ

ゲ

ゲ

౉ജ⵬ఘ

౉ജ⵬ఘ

౉ജ⵬ఘ

౉ജ⵬ఘ

․ᕈᛠី

․ᕈᛠី

․ᕈᛠី

࠯ࡠὐ⸘᷹ ታ㛎⚳ੌᓟ

,4㣔ขᵄ ࿁⋡,4㣔ขᵄ ࿁⋡,4㣔ขᵄ ࿁⋡,4㣔ขᵄ ࿁⋡࡜ࡦ࠳ࡓᵄ %

࡜ࡦ࠳ࡓᵄ $

࡜ࡦ࠳ࡓᵄ #

․ᕈᛠី



ゲ

/࡜ࡦ࠳ࡓᵄ ⺞ᢛ࠯ࡠὐ⸘᷹ ࡃ࡜ࡦࠬᓟ









ICN

ICN

ICN

⺞ᢛ

*\

*\
*\

*\

㩅㩧㩖㩩㩢㩧㩂㩨 ࡠ࡯ࡄࠬ๟ᵄᢙ ࡈࠖ࡞࠲

1((

1((

#'(

ᯅ᪞

ᯅ᪞

࠮ࡦࠨ
㩖㨱㨼㩣ฬ

,$㨪,$,$㨪,$

㓸㍳
ࡉࡠ࠶ࠢ

UGE

೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE

UGE

*\
*\
*\

*\
*\
*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

1((

1((

1((

1((

1((

1((

1((

1((

1((

1((

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$ో࠴ࡖࡦࡀ࡞ࡃ࡜ࡦࠬ 㩔㩨㩡㩧㩇೨ߦEJ㨪EJࠍ.2(*\⸳ቯߦߔࠆ

UGE

෼㍳
ᤨ㑆

࠯ࡠὐ⸘᷹ ࡃ࡜ࡦࠬ೨

//



⋡ᮡടᝄ
࡟ࡌ࡞
UGE

ടᝄ
๟ᵄᢙ

࠯ࡠὐ⸘᷹ ᦺ৻⇟

ടᝄ
ᣇะ



/



ടᝄ᧦ઙ

ࡃ࡜ࡦࠬ ਛ┙ᤨ

⹜㛎⇟ภ

ᤨೞ



ᣣઃ

Table 3.5.3㧔2㧕Large-scale tests on a component models(C1-1model) 7th Dec 2007.

ນ3.5.3㧔2㧕  ‫ޘ‬ၴ΋ϋεȜΥϋΠ৘ࡑ)C1-1 ৘ࡑ*! 12 ࠮ 7 ඾দࡑ͈‫ح‬૦Ȇࠗ௶ૄ࠯

㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേ౉ജ⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേ౉ജ⵬ఘ

2009 年 1 月

㩎㩡㩧㩆㩨㨴㩧㩎ㅪേ
౉ജ⵬ఘ

஻⠨

第 331号㩎㩡㩧㩆㩨㨴㩧㩎ㅪേ
౉ജ⵬ఘ

࡜ࡦ࠳ࡓᵄ
․ᕈᛠី

࡜ࡦ࠳ࡓᵄ
․ᕈᛠី

࡜ࡦ࠳ࡓᵄ
․ᕈᛠី

࡜ࡦ࠳ࡓᵄ
․ᕈᛠី

㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㓸㍳ᣇᑼ

防災科学技術研究所研究資料



ᣣઃ



/

,4㣔ขᵄ


౉ജ⵬ఘ
ᵄ

࠯ࡠὐ⸘᷹ ታ㛎⚳ੌᓟゲ/ICN





ࡄ࡞ࠬᵄ

*\

*\

*\

*\

*\

*\

*\

*\

㩅㩧㩖㩩㩢㩧㩂㩨 ࡠ࡯ࡄࠬ๟ᵄᢙ ࡈࠖ࡞࠲

1((

1((

1((

1((

#'(

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

࠮ࡦࠨ
㩖㨱㨼㩣ฬ

UGE

೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE

*\

*\

*\

*\

*\

*\

1((

1((

1((

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᱡએᄖࡃ࡜ࡦࠬ ߩᱡ߽ࡃ࡜ࡦࠬ

UGE࠯ࡠὐ⸘᷹ ࡃ࡜ࡦࠬ೨:;<ゲ/



UGE

࠯ࡠὐ⸘᷹ ⸘᷹♽࠴ࠚ࠶ࠢߩὑ

//

UGE

෼㍳ᤨ㑆ᘠࠄߒട㔡ਛ

/



⋡ᮡടᝄ
࡟ࡌ࡞
UGE

ടᝄ
๟ᵄᢙ

࠯ࡠὐ⸘᷹ ᦺ৻⇟ടᝄᣇะࡃ࡜ࡦࠬ ਛ┙ᤨ/



ടᝄ᧦ઙ



⹜㛎⇟ภ

ᤨೞ

Table 3.5.3㧔3㧕  Large-scale tests on a component models(C1-1model) 12th Dec 2007.

,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$㓸㍳ࡉࡠ࠶ࠢ

ນ 3.5.3㧔3㧕  ‫ޘ‬ၴ΋ϋεȜΥϋΠ৘ࡑ)C1-1 ৘ࡑ*! 12 ࠮ 12 ඾দࡑ͈‫ح‬૦Ȇࠗ௶ૄ࠯

㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേ౉ജ⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ

㓸㍳ᣇᑼ

஻⠨

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

45///////////





 



46















ࡄ࡞ࠬᵄ

,4㣔ขᵄ

ࡄ࡞ࠬᵄ

:;<ゲ

ゲ

:;<ゲ

ゲ

ICN



౉ജ⵬ఘ
ᵄ


ICN





ICN

ICN

ICN



౉ജ⵬ఘ

౉ജ⵬ఘ

․ᕈᛠី

․ᕈᛠី

࠯ࡠὐ⸘᷹ ታ㛎⚳ੌᓟ

,4㣔ขᵄ ࿁⋡

ゲ

ゲ

ゲ

․ᕈᛠី

*\

*\
1((

1((

#'(

ᯅ᪞

ᯅ᪞

࠮ࡦࠨ
㩖㨱㨼㩣ฬ

UGE

*\
*\

*\
*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\

*\
*\

*\

*\

*\

*\

1((

1((

1((

1((

1((

1((

1((

1((

1((

1((

1((

1((

1((

1((

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

ᯅ᪞

,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$,$㨪,$㓸㍳ࡉࡠ࠶ࠢ㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേ౉ജ⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേ౉ജ⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേ
౉ജ⵬ఘ

࡜ࡦ࠳ࡓᵄ
․ᕈᛠី

࡜ࡦ࠳ࡓᵄ
․ᕈᛠី

࡜ࡦ࠳ࡓᵄ
․ᕈᛠី

㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേ౉ജ⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ㅪേή⵬ఘ㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ㩎㩡㩧㩆㩨㨴㩧㩎ᚻേ

㓸㍳ᣇᑼ

஻⠨

第 331号,4㣔ขᵄ ࿁⋡࡜ࡦ࠳ࡓᵄ %

࡜ࡦ࠳ࡓᵄ $ゲ

೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE

UGE

ICN࠯ࡠὐ⸘᷹ ౣታ㛎೨


UGE

:;<ゲ

೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE
೨UGE
ਛUGEᓟUGE࠯ࡠὐ⸘᷹ ታ㛎⚳ੌᓟ࡜ࡦ࠳ࡓᵄ #

ࡄ࡞ࠬᵄ



౉ജ⵬ఘ
ᵄ

/

ゲ



,4㣔ขᵄ

/ICN



:;<ゲ

ࡄ࡞ࠬᵄ

*\

*\

㩅㩧㩖㩩㩢㩧㩂㩨 ࡠ࡯ࡄࠬ๟ᵄᢙ ࡈࠖ࡞࠲

ᱡએᄖࡃ࡜ࡦࠬ ߩᱡ߽ࡃ࡜ࡦࠬ

UGE

෼㍳
ᤨ㑆

࠯ࡠὐ⸘᷹ ࡃ࡜ࡦࠬ೨

//



⋡ᮡടᝄ
࡟ࡌ࡞
UGE

ടᝄ
๟ᵄᢙ

࠯ࡠὐ⸘᷹ ᦺ৻⇟

ടᝄ
ᣇะ



/



ടᝄ᧦ઙ

ࡃ࡜ࡦࠬ ਛ┙ᤨ

⹜㛎⇟ภ

ᤨೞ



ᣣઃ

Table 3.5.3㧔4㧕  Large-scale tests on a component models(C1-1model) 13th Dec 2007.

ນ 3.5.3㧔4㧕 ‫ޘ‬ၴ΋ϋεȜΥϋΠ৘ࡑ)C1-1 ৘ࡑ*! 12 ࠮ 13 ඾দࡑ͈‫ح‬૦Ȇࠗ௶ૄ࠯

防災科学技術研究所研究資料2009 年 1 月

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮

4.! ౷ૼ؊൞අ଻͂෫ٟඅ଻

10%Ȅ20%Ȅ30%͈ထ๵৘ࡑ̷̸̦ͦͦ 1 ٝȄ2 ٝȄ6 ࣐̹̦ٝͩͦȄ࿒ণ́‫̧͈̭͉͍ͦͩ͌ͥ́෇ږ‬৘ࡑ͉́୆̲̞̞̀̈́ȅ৘౷ૼτασ 1 ٝ࿒͈৘ࡑ̤̫ͥͅ࿅߿͈అੱ͈ૺജ
͈အঊͬ଎ 4.3 ͅা̳ȅ৘౷ૼτασ͈‫ͬૼح‬਋̫ͥ͂Ȅ
3.5 ຟȪത aȫັ߃́‫ܖ‬໐ັ߃ͅ๷ळ͍̈́͌‫̦ͦڬ‬୆̲ͥḙ͈̏ࢃȄ؊൞་պ̦௩‫̳̀ͦ̾ͥͅح‬Ȅ଎ 4.3(c)ͅা̳
̠͢ͅྶ‫̦ͦڬ͍̬͌ެ̈́ږ‬ତུ୆̲̠ͥ̈́ͥ͢ͅȅ
5.35 ຟȪത dȫັ߃́ࢃ੆͈̠͢ͅȄYpȪWȫ༷࢜ͅ‫ޘ‬‫ݗ‬ഛ౤̤̞̀ͅ 0.07 m ͈؊൞་պ̦୆̲Ḙ͈̏শͅգੀ
ႁͬ਋̫ͥ YpȪWȫ࿂͈‫ܖ‬໐ັ߃̥͐ͤͅ΋ϋ·ςȜΠͅਸ͍͌‫̦ͦڬ‬୆̲̤̀ͤȄ‫ܖ‬໐ັ߃̥ͣգٟ̱ই̹͛
̭̦͂໦̥ͥȅ5.35 ຟ̥ͣ 6 ຟ̥̫̀ͅȄXpȪNȫ࿂͈‫ܖ‬໐͈ນ࿂໐໦͈΋ϋ·ςȜΠ̦գٟ̱Ȅญ၂̳ͥȅࢃ੆͈̠͢ͅ 6.9 ຟ̤̞̀ͅͅडఱ؊൞་պ̦୆̲̦ͥȄ଎ 4.3(e)ͅা̳̠͢ͅ XnYpȪSWȫ࿂͈̥͐ͤ΋ϋ·ςȜΠ̦գٟ̽̀͢ͅญ၂̱ই̤͛̀ͤḘ͈̏ࢃ͈؊൞
́ญ၂̱̹ȅ
଎ 4.4 ͉৘౷ૼτασ 1 ٝ࿒͈৘ࡑਞၭࢃ͈అੱે‫ޙ‬ͬা̱̹ࠫ‫̜ͥ́ض‬ȅXnYpȪSWȫ࿂̤̞̀ͅ‫ܖ‬໐̥ͣ
0.6 m ͈ํս͈΋ͺ΋ϋ·ςȜΠ̦ญ၂̱Ȅ৊༷࢜ഘ޼
̦̯ࣞ 0.2 mȡ0.5 m ͈ํս͉͙́ͣ੄̱̹ȅXpYnȪNEȫ
࿂͉́‫ܖ‬໐̥ͣ 0.2 m ͈ํս͈ນ࿂͈̥͐ͤ΋ϋ·ςȜΠ̦ญ၂̱̹೾ഽ́Ȅഘ޼͈Ⴚ੄͉̥̹̈́̽ȅ৘౷ૼτασ 2 ٝ࿒͈৘ࡑ̤̫ͥͅ࿅߿͈అੱ͈ૺജ
͈အঊͬ଎ 4.5 ͅা̳ȅ‫ݗޘ‬ഛ౤͈؊൞་պ̦ 0.2 m ಼̢ͬͥ౲‫͉́ٴ‬Ȅ1 ٝ࿒ུ͈৘ࡑ́գٟ̱̹̥͐ͤ΋ϋ·ςȜΠ̦ญ၂̱ই͛ͥ೾ഽ̜́ͥȅडఱ؊൞་պ̦୆
̲̹ 6.97 ຟັ߃͉́Ȅ؊൞་պ͉ 0.3 m ಼̢̤ͬ̀ͤȄXnYpȪSWȫ࿂̤̞̀ͅ৊༷࢜ഘ޼̦̯ͣͅఱ̧̩͉ͣ
͙੄̱Ȅఝഘ޼̦͙ͥ͠Ȅ΋ͺ΋ϋ·ςȜΠ̦գٟ̱̀
̞ͥḙ͈̏শȄXpYnȪNEȫ࿂͉́Ȅެ̬͍͌‫ྫ̦ͦڬ‬ତͅ୆̲̹̦Ȅ৊༷࢜ഘ޼͈͉͙ͣ੄̱̩̈́͜ȄXnYp
ȪSWȫ࿂ͅ๤͓ͥ͂అੱ͉઀̯̜̹͛́̽ȅ଎ 4.6 ͉৘౷ૼτασ 2 ٝ࿒͈৘ࡑਞၭࢃ͈అੱે‫ޙ‬ͬা̱̹ࠫ‫̜ͥ́ض‬ȅXnȪSȫ࿂̥ͣ XnYpȪSWȫ࿂͈ํս́‫ܖ‬໐̥̯ͣࣞ 0.7 m ͈ํս͈΋ͺ΋ϋ·ςȜΠ̦գٟ̱Ȅ‫ٸ‬௰͈৊༷࢜ഘ޼̦͉͙ͣ੄̱̞̀ͥȅ3 ౲෻޼͈̠̻͈૯ͭಎ͈৊༷࢜ഘ޼͉‫̥ͅޱ‬Ⴚ੄̱̹೾ഽ́Ȅ͉͙ͣ੄̱͉ࡐಠ͉̞́̈́ȅXpYnȪNEȫ࿂͉́‫ܖ‬໐̥
ͣ 0.4 m ͈ํս͈̥͐ͤ΋ϋ·ςȜΠ̦ญ၂̱̹೾ഽ́Ȅഘ޼̴͉̥ͩͅႺ੄̱̹೾ഽ̜̹́̽ȅ৘ࡑࢃͅ XnYpȪSWȫ࿂͈ 3 ౲෻޼͈̠̻͈૯ͭಎȄඤ௰͈৊༷࢜ഘ޼͈అੱે‫ޙ‬Ȅ΋ͺ΋ϋ·ςȜΠ͈అੱે‫ ̹͓͛ͥͅ಺ͬޙ‬XnYpȪSWȫ࿂͈΋ϋ·ςȜΠͬੰ‫̹̱ݲ‬ȅ΋ϋ·ςȜΠੰ‫͈ݲ‬အঊͬ଎ 4.7Ȅ΋ϋ·ςȜΠੰ‫͈ࢃݲ‬ഘ޼͈အঊͬ଎ 4.8 ͅা̳ḙ̏ͦͦ͊͢ͅȄड͜ඤ௰ͅ෻౾̯̹ͦ৊༷࢜ഘ޼ 3 ུ͈̠̻ 1 ུ͉΋ϋ·ςȜΠੰ‫͈ݲ‬षͅ‫̦ऺܥ‬൚̹ͤ་ࠁ̱̱̞̀̽̀ͥ͘
̦Ȅॼͤ 2 ུ͉ͅఱ̧̈́་ે̩̈́͜Ḙ̏ͦͤ͢ඤ௰͈΋ͺ΋ϋ·ςȜΠ͜ͅࡐಠ̈́అੱ̦̞̭̦̈́͂໦̥ͥȅ‫؍‬ࢰ௵޼͈෫౯͜୆̲̞̞̀̈́ȅ

4.1! ‫ݗޘ‬࿅߿͈૦൲අ଻
ນ 4.1Ȅ଎ 4.1 ͉Ȅ‫ૼح‬৘ࡑ͈ஜࢃͅ৘ঔ̱̹ 1 m/sec2(100 gal) ΩσΑ෨ͥ͢ͅ‫ح‬૦ͤ͢ͅං̹ͣͦࡥခ૦൲
ତ͂ࡥခਔ‫̜ͥ́ض̹ࠫ͛͂ͬ͘ܢ‬ȅକ໹ 2 ༷͈࢜ࡥခ
ਔ‫ܖݗޘ͉ܢ‬໐̥ͣ 7.37m ͈պ౾ͅ୭౾̯̹ͦ་պࠗͬȄષ‫ࡥ͈༷࢜ئ‬ခਔ‫ݗޘ͉ܢ‬ഛ౤Ȫ‫ܖ‬໐̥ͣ 7.5m ͈պ౾ȫͅ୭౾̯̹ͦ‫௸ح‬ഽࠗͬဥ̞̀ॳ੄̱̞̀ͥḙ̏ͦͦ͊͢ͅȄ‫ݗޘ‬࿅߿͈ΓΛΠͺΛίۖၭশ͈‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ༷͈࢜ࡥခਔ‫ܢ‬Ȫ૦൲ତȫ̷̸͉ͦͦ
0.548 ຟȪ1.82 HzȫȄ0.463 ຟȪ2.16 Hzȫ̜́ͥȅ̤̈́Ȅ‫௸ح‬ഽ̦ࠗୃ̱̩ࠗ௶̧̥̹̹́̈́̽͛Ȅષ‫ئ‬ȪZȫ༷͈࢜ࡥခਔ‫̧̹̥̽̈́́੄ॳ͉ܢ‬ḙ͈̜̏͂Ȅ৘౷ૼτασ͈৘ࡑ͈ஜͅ‫ૼح‬૦໙ 10%Ȅ20%Ȅ30%͈ထ๵৘ࡑ
̷̸̦ͦͦ 1 ٝȄ2 ٝȄ6 ࣐̤ٝͩͦ̀ͤḘ̏ͦͤ͢ͅକ
໹༷͈࢜ࡥခਔ‫ޘ͉ܢ‬৊ೄ‫ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ༷࢜ͅ৹ۙ௩‫̱ح‬Ȅ̷̸ͦͦ 0.573 ຟȄ0.486 ຟ͂̈́ͥȅ̤̈́Ȩ̭͈͈̏͂ષ‫ࡥ͈༷࢜ئ‬ခਔ‫ ͉ܢ‬0.105 ຟ̜̹́̽ȅ৘౷ૼτασˍٝ࿒͈৘ࡑͤ͢ͅࢃ੆̳̠ͥ͢ͅȄಔ‫ܖ‬໐̥͐ͤͅ΋ϋ·ςȜΠ͈ญ၂Ȅ৊༷࢜ഘ޼͈ࠚ๷̈́
͉͙ͣ੄̱̦୆̲̹̦Ḙ̠̱̹̏అੱͤ͢ͅ‫ݗޘ‬࿅߿͈ࡥခਔ‫̯͉ͣͅܢ‬௩‫̱ح‬Ȅ‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ༷࢜Ȅષ‫ئ‬ȪZȫ༷͈࢜ࡥခਔ‫ ̸̷͉ͦͦܢ‬0.880 ຟȄ0.765
ຟȄ0.106 ຟ͂̈́ͥȩ̏֨௽̧Ȅ৘౷ૼτασ 2 ٝ࿒͈৘ࡑ࣐̞ͬḘ̏ͦͤ͢ͅȄಔ‫ܖ‬໐̯̥ͣ̈́ͥ͐ͤͅ΋ϋ·ςȜΠ͈ญ၂̦୆
̲Ȅ৊༷࢜ഘ޼͈͉͙ͣ੄̱̦ࡐಠ͂̈́ͤȄఝഘ޼͈͠
͙̦ͥ୆̲̹ḙ͈̏শȄ‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ༷࢜Ȅષ‫ئ‬ȪZȫ༷͈࢜ࡥခਔ‫ ̸̷͉ͦͦܢ‬1.024 ຟȄ0.894
ຟȄ0.112 ຟ͂̈́ͥḙ̠̱̹̏అੱͤ͢ͅȄ‫ݗޘ‬࿅߿͈କ໹༷͈࢜ࡥခਔ‫ޘ͉ܢ‬৊ೄ‫ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ༷࢜ͅచ̱̀Ȅ੝‫࠲͈ܢ‬஠̈́ેఠ͈ࡥခਔ‫̸̷ͦͦͤ͜͢ܢ‬1.87 ෼Ȅ1.93 ෼ͅ௩‫̞̱ͥ̀ح‬ȅ
4.2! වႁ౷ૼ൲
଎ 4.2 ུ͉৘ࡑ̤̫ͥͅૼ൲ర͈වႁ૞࣢͂৘षͅ
έȜΙϋΈષ́ࠗ௶̯̹ͦ‫௸ح‬ഽͬȄ̷͈؊൞෨ࠁȄέȜς΀Αβ·ΠσȄࡘଚ೰ତ 5%ͬ‫ب‬೰̱̹؊൞Αβ·Πσͤ͢ͅ๤‫̜ͥ́ض̹̱ࠫڛ‬ḙ̏ͦͣͦ͊͢ͅȄ‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ༷࢜͂͜ͅ 0.2ȡ1 ຟ೾ഽ଼͈໦̦͞͞ఱ̧͛ͅ‫̭̹͂ͦ͘܄‬Ȅષ‫ئ‬ȪZȫ༷͉࢜ͅȄ0.2 ຟ೾ഽ଼͈́͘໦̦ఱ̧͛ͅ୆̲̹̭̦͂໦̥
ͥȅ̹͘Ḙ͈̏ͦͣ߹ུ͉࢜‫ ͈ૼح‬1 ٝ࿒Ȅ2 ٝ࿒̤̤͚͇́൳အ̜́ͥȅષ੆ུ̱̹‫ૼح‬ஜ͈‫ݗޘ‬࿅߿͈ࡥခਔ‫ͅܢ‬௖൚̳ͥࡥ
ခਔ‫͉́ܢ‬Ȅ‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷͉࢜ͅවႁ૞࣢ͤ͢͜ 1.7
෼͈Ȅ‫ޘ‬৊ȪYȫ༷͉࢜ͅවႁ૞࣢ͤ͢͜ 0.96 ෼͈වႁ̞͂̈́̽̀ͥȅ
4.3! ‫ݗޘ‬࿅߿͈అੱ͈ૺജ͂෫ٟࠁఠ
ஜ੆̱̹̤͂ͤȄ৘౷ૼτασ͈৘ࡑ͈ஜͅ‫ૼح‬૦໙

47

防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004̭̭́Ȅ d X t Ȅ dY t ̷̸͉ͦͦশ࣫ t ̤̫ͥͅ X ̤͢

4.4! ؊൞‫௸ح‬ഽ
ນ 4.2 ͉‫ݗޘ‬ഛ౤̤͍͈ࠥ͢डఱȆड઀؊൞‫௸ح‬ഽ̹ͬ͂͛ࠫ͘‫̜ͥ́ض‬ȅ଎ 4.9 ͉Ȅ‫ݗޘ‬ഛ౤͈؊൞‫௸ح‬ഽͬা̱̹ࠫ‫̜ͥ́ض‬ȅ৘౷ૼτασ 1 ٝ࿒͈৘ࡑ͉́Ȅ‫ޘ‬৊ȪYȫ༷͉࢜ͅ 3.59 ຟ̤̞̀ͅ 8.8 m/sec2 ͈डఱ؊൞‫௸ح‬ഽ̦୆̲̹ḙ͉̏ͦȄࢃ੆̳̠ͥࠗ͢ͅॳષ͈ࣛ
໖་պ಼̢̹ͬ౲‫͇͚̤̤ͅٴ‬௖൚̳ͥȅ‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷͉࢜ͅȄ4.14 ຟͅୃ௰͈डఱ౵Ȫ8.2 m/sec2ȫ̦Ȅ4.58
ຟͅ໅௰͈डఱ౵Ȫ9.4 m/sec2ȫ̦୆̲̹ḙ͈̏౲‫͉ٴ‬Ȅ‫ޘ‬৊ೄ‫ ̠͈͢ͅ੆ࢃ͉༷࢜ͅڙ‬50 mm ಼̢ͬͥ་պ̦
୆̲̀੭șͅ஦଻‫͚ૺ̦ا‬౲‫̜ͤ́ٴ‬Ȅ‫ݗޘ‬࿅߿͈डఱ
ఛႁັ߃ͅ௖൚̳ͥ͂ࣉ̢ͣͦͥȅ̹̺̱Ȅ؊൞‫௸ح‬ഽ͉ͅΩσΑഎ̈́؊൞̦‫̹̞͛ͥ̀ͦ͘܄‬Ḙ̠̱̹̏ΩσΑഎ̈́؊൞ͬੰ̞̀Ȅडఱ؊൞‫௸ح‬ഽͬ໹޳എͅࡉͦ͊
5ȡ6 m/sec2 ೾ഽ̜̹́̽͂࡞̢ͥḙ̠̱̹̏ΩσΑഎ̈́؊൞͉Ȅ৘ࡑহߓ͞ࡥ೰঑ઇ൝̧̤̫̦̹ͥ̾ͥ͢ͅͅ
͈͂͜ଔ௶̯ͦͥȅ৘౷ૼτασ 2 ٝ࿒͈৘ࡑ́Ȅ؊൞‫௸ح‬ഽ͉ͅΩσΑഎ̈́؊൞ȪΦͼΒȫ̦‫̤ͤ̀ͦ͘܄‬Ȅडఱ౵̱͉͂̀‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ̷̸༷࢜ͦͦͅ 9.2 m/sec2Ȅ
10.5 m/sec2 ͈͜؊൞‫௸ح‬ഽ̦୆̲̹ḙ̭̏́͜Ȅडఱ؊൞‫௸ح‬ഽͬ໹޳എͅࡉͦ͊Ȅ5ȡ6 m/sec2 ೾ഽ̜́ͥȅ! ଎ 4.10 ͉Ȅ‫ݗޘ‬࿅߿௰ͅ୭౾̱̹ષ໐ήυΛ·͈ਹ૤պ౾͈؊൞‫௸ح‬ഽͬা̱̹ࠫ‫̜ͥ́ض‬ḙ̏ͦͤ͢ Yp ௰
͂ Yn ௰̜ͥͅ 2 ͈͈̾ࠥ‫ݷ‬൲͉̤̤͚͇൳အ̜̹́̽
͂ࣉ̢ͣͦͥȅडఱ؊൞‫௸ح‬ഽ͉ Yp ௰͈ࠥͅ୭౾̱̹
ષ໐ήυΛ·͉́‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ̷̸༷࢜ͦͦͅ 9.6 m/sec2Ȅ8.1 m/sec2ȄYn ௰͈ࠥͅ୭౾̱̹ષ
໐ήυΛ·͉́‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ̷̸༷࢜ͦͦͅ 8.6 m/sec2Ȅ7.2 m/sec 2 ̜́ͥȅ‫ޘ‬৊ȪYȫ༷࢜ͅ‫͉̱̀۾‬Ȅ‫ݗޘ‬࿅߿ષ͈ࡥ೰঑ઇ̤̞̀ͅެ̬ͬഥో̱
̞̹̈́͛Ȅ‫ݗޘ‬ഛ౤͈؊൞‫௸ح‬ഽ̤̤͚͇͂൳೾ഽ͂̈́
̦ͥȄ‫ޘ‬৊ೄ‫͉༷࢜ͅڙ‬঑ઇ໐́ެ̬ͬഥ̢̹ͥ͛Ȅ̷͈̯ࣞ໦̺̫؊൞‫௸ح‬ഽ̦ఱ̧̩̞̈́̽̀ͥȅࠥષ̤̫ͥͅ‫ݗޘ‬࿅߿պ౾͂౤໐঑തպ౾͈؊൞‫௸ح‬ഽ͈๤‫ͬڛ‬଎ 4.11 ͅা̳ȅ‫ޘ‬৊༷͉࢜ͅ‫ݗޘ‬࿅߿ષ́ࠗ
௶̱̹ࠫ‫͇͚̤̤֚͂ض‬౿̳ͥȅ༷֚Ȅ‫ޘ‬৊ೄ‫༷࢜ͅڙ‬͉౤໐঑ത͉́ࡥ೰̜̹́ͥ͛Ȅ؊൞෨ࠁ͉։̈́ͤȄ‫ޘ‬৊ೄ‫ࡥ༷࢜ڙ‬೰঑ઇ͈ࡥ೰‫ܥ̦ࢹܥ‬ෝ̳ͥषͅ୆̲̹ΩσΑഎ̈́؊൞̦ࡐಠ̜̹ͣͩͦࠫͅ‫ͥ̈́͂ض‬ȅ͍ Y ༷͈࢜؊൞་պ̜́ͥḙ̠̱̏̀‫̹͛ݥ‬डఱ؊൞་
պͬ d max ͂೰̳݅ͥȅ̤̈́Ȅ‫ݗޘ‬ഛ౤͈؊൞་պ͉‫̧ͤ৾ے‬৆་պࠗͬဥ̞
̤̀ͤȄఉ༷࢜‫͈ૼح‬ાࣣ͉ͅȄ་պ͈ࠗ௶ͅఈ༷͈࢜
་պ͈‫̥̭ͣ͂ͥͦ͘܄̦ޣג‬Ȅո‫ͬޣג͈̭ͤ͢ͅئ‬ੰ‫̞̱ͥ̀ݲ‬ȅ̴͘Ȅ଎ 4.13 ͅা̱̹‫ڠةܜ‬എ̈́‫̥ͣ߸۾‬ո‫ ͈ئ‬2 ৆̦ංͣͦͥȅ̤̈́ȄRC ‫ ͈ݗޘ‬3 ༷࢜‫ૼح‬শ͈ષ‫༷࢜ئ‬͈་ࠁၾ͉௖చഎͅ઀̯̞̭̥͂ͣḘ̷̭͉͈̏́‫ޣג‬ͬࣉၪ̱̞̞̀̈́ȅD y r 2  Dxr  Lx 2 ! ! (4.2)

D y m  L y 2

Dx r 2  D y r  L y 2(4.3)

̭̭́Ȅ Dxr Ȅ D y  r ͉ X ༷࢜ȄY ̷̸༷͈࢜ͦͦ৘
ष͈؊൞་պȄ Dx m Ȅ D y m ͉ X ༷࢜ȄY ̷̸༷࢜ͦ
͈ͦࠗ௶̯ͦͥ؊൞་պȄ Lx Ȅ L y ͉୭౾শ̤̫ͥͅ་
պ̥ࠗͣΗȜΊΛΠ͈́͘‫ݻ‬ၗ̜́ͥȅ৆(4.2)͂(4.3)͈
ओͬ͂̽̀ାၑ̳ͥ͂Ȅ৆(4.4)̦ංͣͦḘ̏ͦͬ৆(4.2)ͅయව̱ٜ̩̀͂Ȅ৆(4.5)̦ංͣͦͥȅ! Dx  r

D y raD y r  b ! ! ! ! ! ! ! ! ! ! ! (4.4)
 a(b  Lx ) r a 2 (b  Lx ) 2  c
1  a2! ! (4.5)

̭̭́Ȅ

a

b

c

4.5! ؊൞་պ
ນ 4.3 ͉‫ݗޘ‬ഛ౤͈डఱ؊൞་պ̹ͬ͂͛ࠫ͘‫̜́ض‬ͥȅນ 4.4 ͉‫ݗޘ‬ഛ౤͈؊൞་պ͂అੱ͈ૺജે‫ͬ͘ޙ‬̹͂͛ࠫ‫̜ͥ́ض‬ȅ଎ 4.12 ͉Ȅ‫ݗޘ‬ഛ౤͈؊൞་պͬা
̱̹ࠫ‫̜ͥ́ض‬ȅ̹͘Ḙ̭͉̏ͅ‫ܱͤ͢ͅئ‬೰̳݅ͥࡔ
ത̥͈ͣ‫ݻ‬ၗ ̀ t ̵̜ͩ̀͜া̱̞̀ͥȅdt

D x  m  Lx 2

Ly
Lx

Dx  m 2  2 Lx Dx  m  ( D y  m 2  2 L y D y  m )2 Lx(1  a 2 )(b 2  2bLx  Dx m 2  2 Lx Dxm )

(4.6)

(4.7)

(4.8)

৘౷ૼτασ 1 ٝ࿒͈৘ࡑ͉́Ȅ̴͘ 3.68 ຟ̤̞̀ͅ
Xp ༷࢜ȄYn ̷̸༷࢜ͦͦͅ 0.010 mȄ0.039 m ͈؊൞་պ̦୆̲Ḙ͈̏শͅ Xp-Yn ༷͈࢜؊൞་պ d max ͉ 0.040
m ͂̈́ͤȄࠗॳͥࣛ͢ͅ໖་պȪ= 0.04 mȫ௖൚͈་պ
̦୆̲̹̭͂̈́ͥͅȅষ͈άȜ·͉ 4.28 ຟ̜́ͤḘ͈̏d X t 2  dY t 2 ! ! ! (4.1)শ͈؊൞་պ d max ͉ 0.079 m ̜́ͥḙ͈̏౲‫෇ږ́ٴ‬48

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかა໲ΗͼΠσȜಠ৪ྴ໐ζΑ઀ȄI ߿͉ࠥ࣠ఘ͂‫ب‬೰̱̀‫଻۝‬ႁͬॳ੄̱̹ȅ! ! !
υȜΡΓσͥ͢ͅ‫଻۝‬ႁ͈͂๤‫͉̞̀̾ͅڛ‬Ȅষ୯͈କ໹ႁȡକ໹་պ͈၎Ⴄඅ଻̤̞̀ͅা̳ȩ̹̏́అੱ͉Ȅࠚ๷̈́ެ̬͍͌ͩͦ೾ഽ̜́ͥḙ͈̏ࢃ͉Ȅ d max ̱̀ͅ 0.07ȡ0.1 m ͈؊൞̦୆̲̹ࢃȄ6.9 ຟ̤̞̀ͅ Xn-Yp ༷࢜ͅఱ̧̈́؊൞་պ̦୆̲ͥȩ̭͈̏͂ Yp ༷࢜ȄXn ༷͈࢜؊൞་պ̷̸͉ͦͦ 0.084 mȄ0.172

4.7! ࿅߿‫͈ݗޘ‬କ໹ႁȡକ໹་պ͈၎Ⴄඅ଻
଎ 4.17 ͅ৘౷ૼτασ 1 ٝ࿒̤͍͢ 2 ٝ࿒̤̫ͥͅ၎

m ̜́ͤȄ d max ̱̀ͅ 0.192 m ͂ࠗॳષ͈ਞޫ་պȪ=Ⴄඅ଻ͬা̳ȅࣱ৘஌̦଎ 4.15 ͅা̱̹υȜΡΓσͤࠗ͢ͅ௶̱̹౵ͬဥ̞̹͈͜Ȅ୤ത஌̦‫௸ح‬ഽࠗͤࠗ͢ͅ
௶̱̹౵̥ͣॳ੄̱̹౵ͬဥ̞̹၎Ⴄ̜́ͥȅ৘౷ૼτασ 1 ٝ࿒ͬࡉͥ͂Ȅ๤‫ڛ‬എυȜΡΓσͥ͢ͅ౵͂‫௸ح‬ഽࠗͥ͢ͅ౵̦֚౿̱̞̭̦̥̀ͥ͂ͩͥȅ৘౷ૼτασ 2 ٝ࿒̤̞͉̀ͅ‫௸ح‬ഽࠗͥ͢ͅ౵̦ఱ̧̈́౵ͬা̱
̞̀ͥȅ4.1.3 ୯́͜੆͓̹̠͢ͅȄ৘౷ૼτασ 1 ٝ࿒́‫͉ݗޘ‬ఱ̧̩஦଻‫̤̱ͤ̀ا‬Ȅ་պ؊൞̥ͣ͜ॼၣ་
պ̦ॼ̞̽̀ͥȅ̯ͣͅ࠿൦̦ຈါ̜͈͈́ͥ͜Ȅ2 ٝ࿒̤̫ͥͅ၎Ⴄ͈ओ͉̭֦̱̞ͦͣܳ̀ͥ͂ͅࣉ̢ͣͦ
ͥȅY(LG)༷͈࢜၎Ⴄͤ͢ȄRC ࢹ௮̩́͢ࡉͣͦͥཚଞࠁ
̱̞̭̦ͬ̀ͥ͂໦̥ͥȅ༷֚ X(TR)༷͉࢜ Y(LG)༷࢜
ͅ๤͓̀କ໹ႁ͈་൲̦ఱ̧̈́ࠁͬা̱̞̀ͥḙ͉̏ͦ
Y(LG)༷͉࢜ৗၾ̜͈́ͥࠥ૦൲଻ે̦๤‫ڛ‬എౙ੗̜́
͈ͥͅచ̱ȄX(TR)༷͉̦࢜ࠥ౤໐‫̯̀ͦ௵ࢰ͉́ݗޘ‬̞̭ͥ͂͞υΛ΅ϋΈ૦൲̦อ୆̳̹ͥ͛Ȅ͞͞ໝॠ̈́
ࠁેͬা̱̞̀ͥ͂ࣉ̢ͣͦͥȅ

0.116 mȫ͈ 1.5 ෼೾ഽ͈؊൞་պ̦୆̲̹̭͂͂̈́ͥȅஜ੆͈೒ͤḘ͈̏؊൞̽̀͢ͅȄXn-Yp ࿂͈‫ܖݗޘ‬໐̤̞̥̀͐ͤͅ΋ϋ·ςȜΠ͈ญ၂Ȅ৊༷࢜ഘ޼͈जߠ̦
୆̲̹ḙ͈̏ࢃ͉Ȅ7.57 ຟ̯ͣͅͅఱ̧̈́؊൞་պȪ d max =0.195 mȫ̦ Xp-Yn ༷࢜ͅ୆̲Ḙ̠̱̹̏؊൞̭ͤ͢ͅ
ͦ́͘ͅգٟ̱̞̹̀΋ϋ·ςȜΠ̦ญ၂̱̹ȅॼၣ་պ̱͉͂̀Ȅ‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ༷࢜ͅచ̷̸̱̀ͦͦ 0.018 mȄ0.017 m ୆̲̹ȅ৘౷ૼτασ 2 ٝ࿒͈৘ࡑ͉́Ȅ̴͘ 3.73 ຟ̤̞̀ͅ
Xp ༷࢜ȄYn ̷̸༷࢜ͦͦͅ 0.051 mȄ0.071 m ͈؊൞་պ̦୆̲̞̀ͥḙ͈̏শ͈؊൞་պ d max ͉ 0.087 m ̜́ͥȅ̷͈ࢃȄ4.38 ຟ͉ͅ৘౷ૼτασ 1 ٝ࿒͈डఱ؊൞
་պ͕͖͂൳̲ 0.164 m ͈؊൞་պ d max ̦୆̲̞̀ͥȅडఱ؊൞་պ͉Ȅ6.97 ຟ̤̞̀ͅ XnYp ༷࢜ͅ୆̲̤̀

4.8! ̴͙͌
‫ރ‬দఘͅ୭౾̴̯̞͙ͦ̀ͥ͌ΊȜΐ͈պ౾͉଎
3.3.5 ͅা̱̹೒̜̦ͤ́ͥȄུ୯́ 4.1.5 ୯̤̞̀ͅఅ
ੱે‫͂ޙ‬చ؊̫̿̀୰ྶ̯̞ͦ̀ͥশ̴̤̫͙࣫ͥ͌ͅ
໦ື̞̾̀ͅࣉख़̳ͥȅ଎ 4.18ȡ4.21 ͅ৘౷ૼτασ 1 ٝ࿒̤̫ͥͅ৽ഘ޼͈ͤȄ d max ̱̀ͅ 0.314 m ̜́ͥȅஜ੆͈೒ͤḘ͈̏؊൞̽̀͢ͅȄ‫ܖݗޘ‬໐͈అੱ̦̯ͣͅૺജ̱̹ȅॼၣ་պ̱͉͂̀Ȅ‫ޘ‬৊ೄ‫༷࢜ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ༷࢜ͅచ̷̸̱̀ͦͦ 0.012 mȄ0.004 m ̜́ͤȄࠫ‫̱̀͂ض‬৘౷ૼτασ 2 ٝ࿒͈৘ࡑͤ͢ͅॼၣ་պ͉઀̯̩̹̭̈́̽
͂͂̈́ͥȅ‫؀‬ೄ໦ືͬা̳ȅ3.68 ຟ̤̞̀ͅ Xp ༷࢜ȄYn ༷࢜ͅ་ࠁ̦୆̲̞̭̥̀ͥ͂ͣ Xn ༷࢜ȄYp ༷̤̞࢜̀ͅ‫ݗޘ‬‫ܖ‬໐ࣛͅ໖௖൚̴͈͙̦͌୆̲̞̀ͥȅ 4.28 ຟ͉́ Xp
༷࢜ȄYn ༷࢜ͅఱ̴̧͙̦̈́͌อ୆̱Ȅ̥͐ͤ΋ϋ·ςȜΠ͈ญ၂Ȅ৊༷࢜ഘ޼͈जߠ̦۷௶̯̹ͦ 6.9 ຟ̤̞͉̀ͅȄXn ༷࢜ȄYp ༷̤̞࢜̀ͅఱ̧̈́գੀ̴͙͌
̦อ୆̱̞̀ͥȅ֨ಫ௰̜́ͥ Xp ༷࢜ȄYn ༷̤̞࢜ͅ
̀Ȅ‫ܖ‬໐̯͂ࣞ 1.2m ͈ํս́Ȅ৽ഘ޼͉ࣛ໖̴͙͌Ȫ1896
Ђȫ͈ 2 ෼ոષͅ௖൚̳ͥ 4000Ђͬఱ̴಼̧̢̩͙ͥ͌
̦୆̲̤̀ͤȄఱ̧̩஦଻‫̞̱ͥ̀ا‬ȅ
଎ 4.22ȡ4.24 ͅ৘౷ૼτασ 2 ٝ࿒̤̫ͥͅ৽ഘ޼͈
‫؀‬ೄ໦ືͬা̳ȅ৘౷ૼτασ 1 ٝ࿒̤̞̀ͅ‫ͅܡ‬ఱ̧̩஦଻‫̹̞̱͛ͥ̀ا‬Ȅ‫ܖݗޘ‬໐̴̤̞͙̀͌ͅΟȜΗ̦͉͜͞ୃ̱̩ࠗ௶̯̞̞̦ͦ̀̈́Ȅ4000Ђ಼̢ͬͥ͢
̠̈́ఱ̴̧͙̦̈́͌୆̲̹ႀ֖͉Ȅ৘౷ૼτασ 1 ٝ࿒͕͖͂൳೾ഽ͈‫ܖ‬໐̥ͣ࿩ 1.5m ̜̭̦́ͥ͂‫̧́෇ږ‬ͥȅ
଎ 4.25ȡ4.28 ͅ৘౷ૼτασˍٝ࿒̤̫ͥͅఝഘ޼͈
໹࿂໦ືͬা̳ȅ3.68 ຟȄ4.28 ຟ͉́ఝഘ޼͉͕͂ͭ̓
࢘‫ͬض‬อ‫̦̞̞̱̈́̀ܞ‬Ȅ̥͐ͤ΋ϋ·ςȜΠ͈ญ၂Ȅ৊༷࢜ഘ޼͈जߠ̦۷௶̯̹ͦ 6.9 ຟ̤̞͉̀ͅȄXn ༷

4.6! ࿅߿‫ैͅݗޘ‬ဥ̱̹‫଻۝‬ႁ‫ݗޘ‬ષ౤ͅैဥ̳ͥକ໹ႁ‫ܖݗޘ͍ݞ‬໐ͅैဥ̳ͥެ
̬κȜιϋΠͬೄ୪௶೰̳̹ͥ͛ͅȄ଎ 4.14 ͅা̳̠͢
ͅȄ‫ݗޘ‬ષ౤ͅ 32 ࡢ͈υȜΡΓσͬ୭౾̱̹ȅ̤̈́Ȅ‫ڎ‬ഢുཡগ௡౾͈‫͉ͅئ‬υȜΡΓσ̦ 4 ࡢȄ‫ࡥڎ‬೰঑ઇ‫ئ‬ͅυȜΡΓσ̦ 8 ࡢ෻౾̯̞ͦ̀ͥȅυȜΡΓσ́ࠗ௶̯̹ͦ‫଻۝‬ႁȪ‫ڎ‬υȜΡΓσ͈ࣣႁȫͬ଎ 4.15 ͅা̳ȅ
Z(UD)༷̞͉࢜̾̀ͅȄ੝‫ܢ‬৊ႁͬࣉၪ̱̹౵ͬা̱̀
̞ͥȅ̹͘‫ۼ‬୪എͅ௶೰̳̹ͥ͛ͅȄષ໐ζΑఱȄષ໐ζΑ઀ȄI ߿͉ࣣࠥࠗͅ 28 ࡢȪ‫ ͉ࠥͅڎ‬14 ࡢȫ͈‫௸ح‬ഽ̦ࠗ৾ͤັ̫̤ͣͦ̀ͤȄ‫ޘ‬৊Ȅ‫ޘ‬৊ೄ‫ڙ‬Ȅ‫؀‬ೄ༷͈࢜ 3଼໦͈‫௸ح‬ഽͬࠗ௶̱̞̀ͥȪ଎ 4.16Ȅ‫͈ࠥڎ‬ષ໐ζΑ
ఱͅ 4 ࡢȄષ໐ζΑ઀ͅ 4 ࡢȄI ߿ࠥͅ 6 ࡢ͈‫௸ح‬ഽ̦৾ͤັ̫̞ͣͦ̀ͥȫȅષ໐ζΑఱ‫͍ݞ‬ષ໐ζΑ઀͈୲చ‫௸ح‬ഽ̱͂̀ 4 ࡢ͈୲చ‫௸ح‬ഽ͈໹޳ȄI ߿͈ࠥ࿅߿‫ޘ‬‫ݗ‬ષ́ࠗ௶̯̹ͦ୲చ‫௸ح‬ഽ̱͂̀ 4 ࡢ͈୲చ‫௸ح‬ഽ͈໹޳ȄI ߿͈ࠥ౤໐‫ݗޘ‬ષ́ࠗ௶̯̹ͦ୲చ‫௸ح‬ഽ̱͂
̀ 2 ࡢ͈୲చ‫௸ح‬ഽ͈໹޳ͬဥ̞Ȅ̹͘ષ໐ζΑఱȄષ

49

防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004อ୆̱̞̞̀̈́ȅ଎ 4.29ȡ4.31 ͅ৘౷ૼτασ 2 ٝ࿒̤̫ͥͅఝഘ޼͈
໹࿂໦ືͬা̳ȅ৽ഘ޼͂൳̲̩‫ܖͅܡ‬໐́ఱ̧̩అੱ
̱̞̹̀ͥ͛‫ܖ‬໐̴͈͙͌ΟȜΗ͉ఱ̧̩̞̞͊ͣ̾̀
̦ͥȄ1 ٝ࿒͂։̈́ͤ 1.25m ͈ఝഘ޼͉ࣛͅ໖̴͙͌ͬ
̴಼̢͙̦ͥ͌୆̲̞̀ͥȅ̹͘Ḙ̏ͦͤ͢ષ͈ႀ֖ͅ
̤̞̀͜ 1000Ђոષ̴͈͙̦͌ఝഘ޼ͅอ୆̱̞̀ͥȅ৽ഘ޼̴͙͌ͬࡉͥࡠͤȄఱ̧̩஦଻‫̹̱ا‬ႀ֖͉ 1 ٝ
࿒͂ 2 ٝ࿒͕͖́൳೾ഽ̜̹̦́̽Ȅఝഘ޼̴͙͉͌́
ષ໐͒అੱ̦ࢩ̦̞̽̀ͥ͂฻౯̧́ͥȅ࢜ȄYp ༷̤̞࢜̀ࣛͅ໖௖൚̴͈͙̦͌อ୆̱̞̀ͥȅ༷֚́ Xp ༷࢜ȄYn ༷͉࢜́ఝഘ޼̴͈͙͉͌ 1000Ђո‫̜ͤ́ئ‬Ȅఝഘ޼͈ࢰ௵࢘‫׫͉ض‬ਔષ֚́အ͉̞́̈́ȅ‫ͅܡ‬գٟ̱̞̹̀΋ϋ·ςȜΠ̦ญ၂̱̹ 7.57 ຟ̤̞͉̀ͅȄఝഘ޼͉ͅఱ̴̧͙̦̈́͌อ୆̱̞̞̀̈́ḙ͉̏ͦఝഘ޼͈౤໐̦΋ϋ·ςȜΠ΋ͺඤͅ೰಍̯̞ͦ̀
̞̹̈́͛Ȅ৽ഘ޼͈जߠȄ̥͐ͤ΋ϋ·ςȜΠ͈ญ၂̽̀͢ͅఝഘ޼̦‫̞̱̞̀͘ٳ‬Ȅࢰ௵࢘‫ͬض‬৐̞̭̽̀ͥ
͂ͬփྙ̱̞̀ͥȅ̴̞͈ͦশ̤̞࣫̀͜ͅ 1.25m ̞ͤࣞ͢պ౾͈ఝഘ޼̴̴͈͙͉̞͌ͦ͜ 500ЂȪࣛ໖̴͙͌ 1896Ђ͈ 1/4 ೾ഽ௖൚ȫո‫̜ͤ́ئ‬Ȅఱ̴̧͙͉̈́͌

50ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

ນ4.1!
૦൲අ଻͈་‫ا‬
Table 4.1 Natural Periods and Natural Frequencies.
Transverse Direction(X)
Frequency
Period(Hz)(sec)

Longitudinal Direction(Y)
Frequency
Period(Hz)(sec)

Vertical Direction (Z)Frequency
Period(Hz)(sec)

Before all excitations

1.824

0.548

2.161

0.463

Before first E-Takatori excitation

1.744

0.573

2.059

0.486

9.495

0.105

After first E-Takatori excitation

1.136

0.880

1.308

0.765

9.424

0.106

After second E-Takatori excitation

0.976

1.024

1.118

0.894

8.961

0.112

(ɦ)

ɦ No result due to problem of accelerometer at the top of column
ນ4.2! ‫ݗޘ‬ഛ౤̤͍͈ࠥ͢डఱȆड઀؊൞‫௸ح‬ഽ
Table 4.2 Maximum and Minimum Response Accelerations at Top of the Column and the Deck.
(1) First excitation
Top of column (m/sec2)

Yp(W) Deck (m/sec2)

Yn(E) Deck (m/sec 2)

X (TR)Y (LG)Z (UD)X (TR)Y (LG)Z (UD)X (TR)Y (LG)Z (UD)

Maximum
value

8.243

8.764

4.405

12.034

7.328

9.131

8.643

8.332

9.533

Minimumvalue-9.377-8.787-3.562-10.021-6.866-6.489-9.428-7.203-7.342(2) ৘౷ૼτασ 2 ٝ࿒(2) Second Excitation
Top of column (m/sec2)

Yp(W) Deck (m/sec2)

Yn(E) Deck (m/sec 2)

X (TR)Y (LG)Z (UD)X (TR)Y (LG)Z (UD)X (TR)Y (LG)Z (UD)

Maximum
value

7.629

5.945

4.594

10.299

5.804

8.975

6.873

5.847

5.300

Minimumvalue-9.206-10.531-4.747-7.359-6.762-7.978-11.441-6.823-6.058

ນ4.3! ‫ݗޘ‬ഛ౤͈डఱȆड઀؊൞་պ
Table 4.3 Maximum and Minimum Response Displacement.
(1) First excitation
X(TR) (m)Y(LG) (m)Distance from the origin (m)Maximum value

0.134

0.173

0.195

Minimum value-0.119-0.170(2) Second excitation

X(TR) (m)Y(LG) (m)Distance from the origin (m)Maximum value

0.143

0.277

0.314

Minimum value-0.174-0.17851ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
防災科学技術研究所研究資料 第 331号 2009 年 1 月

ນ4.4! ؊൞་պ͂అੱ͈ૺജ
Table 4.4 Response Displacement and Damage Progress.
(1) First excitation
Point

Time
(sec)

dx (TR)(m)dy (LG)(m)

Distance
(m)

a

3.680

0.009

-0.0380.038

Yn 䋨E䋩

Hair Cracks

b

4.270

-0.066

0.044

0.080

XnYp (SW)Hair Cracks

c

4.715

0.070

-0.0100.070

Xp (N)

d5.350-0.037

0.072

0.081

XnYp (SW)

Crash of Cover Concrete

e

6.900

-0.093

0.172

0.195

XnYp (SW)

Crash of Cover Concrete
Buckling of Longitudinal Rebar

f

7.585

0.086

-0.1580.180

XpYn (NE)

Spalling of Cover Concrete

g

8.345

0.123

-0.0730.142

XpYn (NE)

Direction

Observed Events

Flexural Cracks(2) Second excitation
Point

Time
(sec)

dx (TR)(m)dy (LG)(m)

Distance
(m)

a

3.735

0.049

-0.0660.082

XpYn (NE)

b

4.375

-0.153

0.068

0.167

XnYp (SW)

c

4.950

0.104

-0.051

0.116

XpYn (NE)

d

5.425

-0.091

0.076

0.118

XnYp (SW)

e

6.970

-0.177

0.277

0.328

XnYp (SW)

f

7.705

0.107

-0.161

0.193

XpYn (NE)

Direction

Observed Events

Spalling of Cover Concrete

Extensive Damage

1
0.8

Yield Stiffness (TR)
0.6 Yield Stiffness (LG)Initial Stiffness (TR)
Initial Stiffness (LG)

0.4
0.2

!!଎4.1 ࡥခਔ‫͈ܢ‬་‫ا‬Fig. 4.1 Natural Period.

52

After 100% (2)Before 100% (2)After 100% (1)Before 100% (1)After 30% (1)After 20% (2)After 20% (1)After 10%0Longitudinal
Transverse
Before Test

Natural Period (sec)

1.2

10
5
0
-5

Fourier Spectrum(m/sec)

15
10
5
0
0

20

30
Time (sec)25
Response
20
Command
15
10
5
0
5
10
15
20
0
Frequency (Hz)40

Response
Command50
Response
Command2

10(m/sec )-100

Response Acceleration2

Acceleration (m/sec )ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

0.5
1
1.5
Natural Period (sec)

2

5
0
-5

Fourier Spectrum(m/sec)

15
10
5
0
0

20

30
Time (sec)25
Response
20
Command
15
10
5
0
5
10
15
20
0
Frequency (Hz)40

Response
Command50
Response
Command2

10(m/sec )-100

Response Acceleration2

Acceleration (m/sec )‫ޘ‬৊ೄ‫(ڙ‬X)༷࢜

10

0.5
1
1.5
Natural Period (sec)

2

5
0
-5
30
Time (sec)25
Response
20
Command
15
10
5
0
5
10
15
20
0
Frequency (Hz)଎4.2-1
Fig. 4.2-1

40

Response
Command(m/sec )

5
4
3
2
1
0
0

20

Response Acceleration

10

0.5
1
1.5
Natural Period (sec)ષ‫(ئ‬Z)༷࢜
වႁ‫௸ح‬ഽȪ৘౷ૼτασ 1 ٝ࿒ȫInput Ground Acceleration (First Excitation).

53

Response
Command
50

2

-10
0

Fourier Spectrum(m/sec)2

Acceleration (m/sec )‫ޘ‬৊(Y)༷࢜

10

2

10
5
0
-5

Fourier Spectrum(m/sec)

15
10
5
0
0

20

30
Time (sec)25
Response
20
Command
15
10
5
0
5
10
15
20
0
Frequency (Hz)40

Response
Command50
Response
Command2

10(m/sec )-100

Response Acceleration2

Acceleration (m/sec )ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
防災科学技術研究所研究資料 第 331号 2009 年 1 月

0.5
1
1.5
Natural Period (sec)

2

5
0
-5

Fourier Spectrum(m/sec)

15
10
5
0
0

20

30
Time (sec)25
Response
20
Command
15
10
5
0
5
10
15
20
0
Frequency (Hz)40

Response
Command(m/sec )10

Response
Command
50

2

-10
0

Response Acceleration2

Acceleration (m/sec )‫ޘ‬৊ೄ‫(ڙ‬X)༷࢜

10

0.5
1
1.5
Natural Period (sec)

2

5
0
-5

5
4
3
2
1
0
0

20

30
Time (sec)25
Response
20
Command
15
10
5
0
5
10
15
20
0
Frequency (Hz)40

Response
Command(m/sec )

10

0.5
1
1.5
Natural Period (sec)ષ‫(ئ‬Z)༷࢜
଎4.2-2 වႁ‫௸ح‬ഽȪ৘౷ૼτασ 2 ٝ࿒ȫFig. 4.2-2 Input Ground Acceleration (Second Excitation).

54

Response
Command
50

2

-10
0

Response Acceleration

2

10

Fourier Spectrum(m/sec)Acceleration (m/sec )‫ޘ‬৊(Y)༷࢜

2ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか!
(a) 3.68 ຟȪത aȫັ߃!
(b) 4.27 ຟȪത bȫັ߃!
(c) 4.72 ຟȪത cȫັ߃!
(d) 5.21 ຟȪത dȫັ߃
! ! ! ! ! ! ! (1) XpYnȪNEȫ࿂! ! ! ! ! ! ! ! ! ! ! (2) XnYpȪSWȫ࿂
଎4.3 (1) ৘౷ૼτασ 1 ٝ࿒͈అੱ͈ૺജ
Fig. 4.3(1) Damage Progress under First Excitation.

55ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
防災科学技術研究所研究資料 第 331号 2009 年 1 月!
(e) 6.9 ຟȪത eȫັ߃!
(f) 7.59 ຟȪത fȫັ߃!
(g) 8.35 ຟȪത gȫັ߃
! ! ! ! ! ! ! (1) XpYnȪNEȫ࿂! ! ! ! ! ! ! ! ! ! ! (2) XnYpȪSWȫ࿂
଎4.3 (2) ৘౷ૼτασ 1 ٝ࿒͈అੱ͈ૺജ
Fig. 4.3(2) Damage Progress under First Excitation.

56ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか!
! ! ! ! ! ! ! (a) YpȪWȫ࿂! ! ! ! ! ! ! ! ! ! ! ! ! ! (b) XnȪSȫ࿂!
! ! ! ! ! ! ! (c) YnȪEȫ࿂! ! ! ! ! ! ! ! ! ! ! ! ! ! (d) XpȪNȫ࿂
଎4.4! ৘౷ૼτασ 1 ٝ࿒͈৘ࡑࢃ͈అੱ
Fig. 4.4 Damage after First Excitation.

57ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
防災科学技術研究所研究資料 第 331号 2009 年 1 月!
(a) 3.74 ຟȪത aȫັ߃!
(b) 4.38 ຟȪത bȫັ߃!
(c) 4.95 ຟȪത cȫັ߃!
(d) 5.43 ຟȪത dȫັ߃
! ! ! ! ! ! ! (1) XpYnȪNEȫ࿂! ! ! ! ! ! ! ! ! ! ! (2) XnYpȪSWȫ࿂
଎4.5 (1) ৘౷ૼτασ 2 ٝ࿒͈అੱ͈ૺജ
Fig. 4.5(1) Damage Progress under Second Excitation.

58ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか!
(e) 6.97 ຟȪത eȫັ߃!
(f) 7.71 ຟȪത fȫັ߃
! ! ! ! ! ! ! (1) XpYnȪNEȫ࿂! ! ! ! ! ! ! ! ! ! ! (2) XnYpȪSWȫ࿂
଎4.5 (2) ৘౷ૼτασ 2 ٝ࿒͈అੱ͈ૺജ
Fig. 4.5(2) Damage Progress under Second Excitation.

59ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
防災科学技術研究所研究資料 第 331号 2009 年 1 月!
! ! ! ! ! ! ! (a) YpȪWȫ࿂! ! ! ! ! ! ! ! ! ! ! ! ! (b) XnȪSȫ࿂‫ئ‬௰

!
! ! ! ! ! ! ! (c) YnȪEȫ࿂! ! ! ! ! ! ! ! ! ! ! ! ! (d) XpȪNȫ࿂!!!!!଎4.6! ৘౷ૼτασ 2 ٝ࿒͈৘ࡑࢃ͈అੱ
Fig. 4.6 Damage after Second Excitation.

60ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか!
଎4.7 XnYp(SW)࿂͈΋ϋ·ςȜΠ͈ੰ‫!ݲ‬
Fig. 4.7 Remove Concrete at XnYp(SW) face.

15
10
5
0
-5
-10
-15

15
10
5
0
-5
-10
-15
15
10
5
0
-5
-10
-15

15
10
5
0
-5
-10
-15
0

40

Z (UD) Direction

Acceleration
2(m/sec )Acceleration
2(m/sec )Z (UD) Direction

20
30
Time (sec)

Y (LG) Direction

Acceleration
2(m/sec )Acceleration
2(m/sec )Y (LG) Direction

10

X (TR) Direction

Acceleration
2(m/sec )Acceleration
2(m/sec )X (TR) Direction

15
10
5
0
-5
-10
-15

15
10
5
0
-5
-10
-15
0

଎4.8 ΋ϋ·ςȜΠੰ‫͈ࢃݲ‬ഘ޼͈အঊ
Fig. 4.8 Damage of Longitudinal bars in Centerand Inner Layers.

50

10

20
30
Time (sec)! ! ! ! ! (a) ৘౷ૼτασ 1 ٝ࿒! ! ! ! ! ! ! ! ! ! ! (b) ৘౷ૼτασ 2 ٝ࿒
଎4.9 ‫ݗޘ‬ഛ౤͈؊൞‫௸ح‬ഽ
Fig. 4.9 Response Acceleration at Top of the Column.

61

40

50

ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
防災科学技術研究所研究資料 第 331号 2009 年 1 月

15
10
5
0
-5
-10
-15

40

Acceleration
2(m/sec )Z (UD) Direction

Acceleration
2(m/sec )Acceleration
2(m/sec )Y (LG) Direction

Acceleration
2(m/sec )

15
10
5
0
-5
-10
-15
0

Z (UD) Direction

20
30
Time (sec)Yp Side Girder
Yn Side Girder

15
10
5
0
-5
-10
-15

Y (LG) Direction

10

X (TR) Direction

Acceleration
2(m/sec )Acceleration
2(m/sec )Yp Side Girder
Yn Side Girder

15
10
5
0
-5
-10
-15

15
10
5
0
-5
-10
-15
0

15
10
5
0
-5
-10
-15

X (TR) Direction

50

10

20
30
Time (sec)40! ! ! ! ! (a) ৘౷ૼτασ 1 ٝ࿒! ! ! ! ! ! ! ! ! ! (b) ৘౷ૼτασ 2 ٝ࿒
଎4.10 ‫̞ࣙ߃ͅݗޘ‬ୋήυΛ·ਹ૤պ౾͈؊൞‫௸ح‬ഽ
Fig. 4.10 Response Acceleration at the Center of Gravity of Mass Blocks Located near the Column.

6250ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

15
10
5
0
-5
-10
-15

Acceleration
2(m/sec )Y (LG) Direction

Z (UD) Direction

Acceleration
2(m/sec )

15
10
5
0
-5
-10
-15
0

10

20
30
Time (sec)40

X (TR) Direction

Acceleration
2(m/sec )End-Support
Column Side

15
10
5
0
-5
-10
-15

End-Support
Column Side

15
10
5
0
-5
-10
-15

Y (LG) Direction

Acceleration
2(m/sec )Acceleration
2(m/sec )X (TR) Direction

15
10
5
0
-5
-10
-15
0

Z (UD) Direction

Acceleration
2(m/sec )

15
10
5
0
-5
-10
-15

50

10

20
30
Time (sec)4050(a) Yp ࠥ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! (b) Yn ࠥ(1) ৘౷ૼτασ 1 ٝ࿒

15
10
5
0
-5
-10
-15

Acceleration
2(m/sec )Y (LG) Direction

Z (UD) Direction

Acceleration
2(m/sec )

15
10
5
0
-5
-10
-15
0

10

20
30
Time (sec)40

X (TR) Direction

Acceleration
2(m/sec )End-Support
Column Side

15
10
5
0
-5
-10
-15

End-Support
Column Side

15
10
5
0
-5
-10
-15

Y (LG) Direction

Acceleration
2(m/sec )Acceleration
2(m/sec )X (TR) Direction

15
10
5
0
-5
-10
-15
0

Z (UD) Direction

Acceleration
2(m/sec )

15
10
5
0
-5
-10
-15

50

10

20
30
Time (sec)(a) Yp ࠥ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! (b) Yn ࠥ(2) ৘౷ૼτασ 2 ٝ࿒
଎4.11 ͈ࠥ؊൞‫௸ح‬ഽ
Fig. 4.11 Response Acceleration at the Decks.

63

40

50

ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
防災科学技術研究所研究資料 第 331号 2009 年 1 月

Distance (m)Displacement (m)Y (LG) Direction

10

20
30
Time (sec)଎4.12 (1)Fig. 4.12(1)40Lateral displ. in TR (X) direction (m)X (TR) Direction

Displacement (m)

0.15
0.1
0.05
0
-0.05
-0.1
-0.15
0.2
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
0.2
0.15
0.1
0.05
0
0

0.2
0.1

Xp(N)
Yp(W)

0

Yn(E)

-0.1
-0.2
0.2

Xn(S)
0.1
0
-0.1 -0.2
Lateral displ. in LG (Y)direction (m)50(a) ৘౷ૼτασ 1 ٝ࿒‫͈ݗޘ‬؊൞་պ
Response Displacement at the Top of the Column.

64ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

X (TR) Direction

Displacement (m)

0.15
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
0.3
0.25
0.2
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
0.35
0.3
0.25
0.2
0.15
0.1
0.05
00

Distance (m)Displacement (m)Lateral displ. in TR (X) direction (m)Y (LG) Direction

10

20
30
Time (sec)

40

0.2
0.1

Xp(N)
Yp(W)

0

Yn(E)

-0.1
-0.2
0.3

Xn(S)
0.2 0.1
0-0.1 -0.2
Lateral displ. in LG (Y)direction (m)50(b) ৘౷ૼτασ 2 ٝ࿒
଎ 4.12 (2) ‫͈ݗޘ‬؊൞་պ
Fig. 4.12(2) Response Displacement at the Top of the Column.

(a) ௶ത‫ݻ‬ၗ̦ࢩ̦ͥાࣣ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! (b)௶ത‫ݻ‬ၗ̦ੀͥ͘ાࣣ
଎ 4.13 ! ‫̧ͤ৾ے‬৆་պࠗ௶̤̫ͥͅఈ༷࢜་պ͈‫ޣג‬
Fig. 4.13 Effect of Lateral Displacement on Displacement measured by Wire Pod.

65ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
防災科学技術研究所研究資料 第 331号 2009 年 1 月

଎ 4.14 υȜΡΓσ͈෻౾̷͈͂๔࣢
Fig. 4.14 Location of the Load Cells.

଎  4.15ȹ ȹ ‫ݗޘ‬ષ౤ैဥႁ
Fig. 4.15 Lateral Force measured at the Top of the Column.

66ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

଎4.16ैဥႁॳ੄ͅဥ̞̹‫௸ح‬ഽ͈ࠗպ౾
Fig. 4.16 Location of Accelerometers.

2000 Y (LG) Direction

0

-2000
-0.4

Load Cells
Accelerations
0
0.4
Lateral Displacement (m)!

Lateral Force (kN)

Lateral Force (kN)

2000 X (TR) Direction

0

-2000
-0.4

(1) ৘౷ૼτασ 1 ٝ࿒

0

-2000
-0.4

0
Lateral Displacement (m)0.42000 Y (LG) Direction
Lateral Force (kN)

Lateral Force (kN)

2000 X (TR) Direction

0
Lateral Displacement (m)

0

-2000
-0.4

0.4

0

Lateral Displacement (m)!
(2) ৘౷ૼτασ 2 ٝ࿒
଎4.17  କ໹ႁȡକ໹་պ͈၎Ⴄ
Fig. 4.17 Lateral Force vs. Lateral Displacement Hysteresis.

67

0.4

ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
防災科学技術研究所研究資料 第 331号 2009 年 1 月

଎4.18৽ഘ޼̴͙͈͌‫؀‬ೄ໦ື(৘౷ૼτασˍٝ࿒ 3.68 ຟ)
Fig. 4.18 Strain Distributions of Longitudinal bar at 3.68 sec (First Excitation).

଎4.19  ৽ഘ޼̴͙͈͌‫؀‬ೄ໦ື(৘౷ૼτασˍٝ࿒ 4.28 ຟ)
Fig. 4.19 Strain Distributions of Longitudinal bar at 4.28 sec (First Excitation).

68ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

଎4.20 ৽ഘ޼̴͙͈͌‫؀‬ೄ໦ື(৘౷ૼτασˍٝ࿒ 6.90 ຟ)
Fig. 4.20 Strain Distributions of Longitudinal bar at 6.90 sec (First Excitation).

଎4.21  ৽ഘ޼̴͙͈͌‫؀‬ೄ໦ື(৘౷ૼτασˍٝ࿒ 7.57 ຟ)
Fig. 4.21 Strain Distributions of Longitudinal bars at 7.57 sec (First Excitation).

69ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
防災科学技術研究所研究資料 第 331号 2009 年 1 月

଎4.22 ৽ഘ޼̴͙͈͌‫؀‬ೄ໦ື(৘౷ૼτασ 2 ٝ࿒ 3.73 ຟ)
Fig. 4.22 Strain Distributions of Longitudinal bars at 3.73 sec (Second Excitation).

଎  4.23 ৽ഘ޼̴͙͈͌‫؀‬ೄ໦ື(৘౷ૼτασ 2 ٝ࿒ 4.38 ຟ)
Fig. 4.23 Strain Distributions of Longitudinal bars at 4.38 sec (Second Excitation).

70ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか଎  4.24 ৽ഘ޼̴͙͈͌‫؀‬ೄ໦ື(৘౷ૼτασ 2 ٝ࿒ 6.97 ຟ)
Fig. 4.24 Strain Distributions of Longitudinal bars at 6.97 sec (Second Excitation).

71ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
防災科学技術研究所研究資料 第 331号 2009 年 1 月

଎4.25 ఝഘ޼̴͙͈͌໹࿂໦ື(৘౷ૼτασ 1 ٝ࿒ 3.68 ຟ)
Fig. 4.25 Strain of Tie bars at 3.68 sec (First Excitation).

଎4.26ఝഘ޼̴͙͈͌໹࿂໦ື(৘౷ૼτασ 1 ٝ࿒ 4.28 ຟ)
Fig. 4.26 Strain of Tie bars at 4.28 sec (First Excitation).

72ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

଎4.27 ఝഘ޼̴͙͈͌໹࿂໦ື(৘౷ૼτασ 1 ٝ࿒ 6.90 ຟ)
Fig. 4.27 Strain of Tie bars at 6.90 sec (First Excitation).

଎4.28ఝഘ޼̴͙͈͌໹࿂໦ື(৘౷ૼτασ 1 ٝ࿒ 7.57 ຟ)
Fig. 4.28 Strain of Tie bars at 7.57 sec (First Excitation).

73ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
防災科学技術研究所研究資料 第 331号 2009 年 1 月

଎4.29 ఝഘ޼̴͙͈͌໹࿂໦ື(৘౷ૼτασ 2 ٝ࿒ 3.73 ຟ)
Fig. 4.29 Strain of Tie bars at 3.73 sec (Second Excitation).

଎4.30 ఝഘ޼̴͙͈͌໹࿂໦ື(৘౷ૼτασ 2 ٝ࿒ 4.38 ຟ)
Fig. 4.30 Strain of Tie bars at 4.38 sec (Second Excitation).

74ა໲ΗͼΠσȜಠ৪ྴ
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

଎4.31 ఝഘ޼̴͙͈͌໹࿂໦ື(৘౷ૼτασ 2 ٝ࿒ 6.97 ຟ)
Fig. 4.31 Strain of Tie bars at 6.97 sec (Second Excitation).

!

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防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004͈‫͉ض࢘௵ࢰ؍‬଎ 5.3 ͅা̳̠͢ͅ Hoshikuma ͈ͣ೹մκ Ο σ [5.5] ͬ ဥ ̞ ̀ ບ ‫ ̱ ث‬Ȅ ؊ ႁ ȡ ͌ ̴ ͙ ެ ஌ ͉Hoshikuma ͈ͣ೹մ৆ͅ؊ႁ‫̞̤֖̀ࣛͅئ‬؊ႁडఱգ
ੀ؊ႁ͈ 20%̹̈́̽ͅ౲‫֚́ٴ‬೰̠͂̈́ͥ͢ͅਘୃͬ‫ح‬̢̹͈ͬ͜ဥ̞̹ȅ‫͉޼௵ࢰ؍‬ਹ͇ࠑ̨਀ͤ͢ͅ೰಍̯
̞̹ͦ̀ͥ͛Ȅ๊͉֚ͅडఱգੀ؊ႁͤ͢գੀ̴͙̦͌
ఱ̧̩̈́ͥ͂‫ܢ͉ض࢘௵ࢰ؍‬ఞ̧̞̦́̈́Ḙ̭͉̏́Ȅ‫ܢ̦ض࢘௵ࢰ؍‬ఞ̧͈̱̹́ͥ͂͜ȅ̹͘Ȅ2.5 ౲෻޼͈‫̻̠͈޼௵ࢰ؍‬Ȅ̳͓͈̀‫̦޼௵ࢰ؍‬΋ͺ΋ϋ·ςȜΠ͈‫ͅ௵ࢰ؍‬ခ࢘ͅ‫ܙ‬ဓ̳ͥ͂‫ب‬೰̱̞̀ͥȅ‫޼௵ࢰ؍‬๤= 0.42%ͤ͢Ȅ΋ͺ΋ϋ·ςȜΠ͈डఱգੀ؊ႁ Ȅ̷͈শ̴͈͙͌ Ȅ؊ႁ‫࢙͈֖ࣛئ‬෻ ̷̸͉ͦͦ 39.1 MPaȄ0.0036Ȅ7.66 GPa ͂̈́ͥȅ! ̥͐ͤ΋ϋ·ςȜΠ͉Ȅ؊ႁષઌ֖͉ Hoshikuma ͈ͣ೹մ৆ͬဥ̞Ȅ̴͙̦͌ 0.002 ͅో̳ͥশͅडఱ؊ႁȪ=ྫ༞‫ޑ‬΋ϋ·ςȜΠ͈ఛႁȫͅో̳̭̱̹ͥ͂͂ȅ؊ႁ‫͉֖ࣛئ‬Ȅ̴͙̦͌ 0.005 ͅో̱̹শͅ؊ႁ̦ 0 ̠͂̈́ͥ̈́͢஌ࠁκΟσ̱̹͂ȅ! ΋ϋ·ςȜΠ͈ੰ‫ك‬ठश‫͈ك‬၎Ⴄ͉ͅȄ଎ 5.4 ͅা̳
SakaiȆKawashima ͈೹մκΟσ[5.6]ͬဥ̞̹ȅ΋ϋ·ς ȜΠ͈֨ಫ‫ޑ‬ഽ̤͍֨͢ಫ௰͈၎Ⴄඅ଻͉ࣉၪ̱̀
̞̞̈́ȅ! ৊༷࢜ഘ޼͈ࣸ‫ެڒ‬஌͉ͅȄ଎ 5.5 ͅা̳ࣛ໖ࢃ౮଻
߸ତͬ੝‫ܢ‬౮଻߸ତ͈ 2%̱͂̀ဓ̢̹ΨͼςΣͺκΟσͬȄ๱஌߿၎Ⴄඅ଻͉ͅȄीȆ୼ോͥ͢ͅਘୃ
Menegotto-Pinto κΟσ[5.7]ͬဥ̞̹ȅ̤̈́Ȅུٜଢ଼͉́
৊༷࢜ഘ޼͈जߠȄ෫౯൝ͬࣉၪ̱̞̞̹̀̈́͛Ȅུٜଢ଼͈ഐဥํս͉ެ̬෫ٟͤ͢ͅ৊༷࢜ഘ޼̦जߠ̳ͥ౲
‫͈ٴ‬ೄஜ̜́́ͥ͘ȅ! ̤̈́Ȅ‫ݗޘ‬࿅߿͉́Ȅ‫ܖ‬໐̥̯ͣࣞ 0.95 m ̤̞̀ͅ‫ٸ‬௰͈‫ ̦ڞۼ޼௵ࢰ؍‬0.15 m ̥ͣ 0.3 m ͅ་‫̦̳ͥا‬ȄུκΟσ͉́۰ౙ͈̹̭͈͛ͅ་‫ࣉͬا‬ၪ̱̞̞̀̈́ȅ̤̈́Ȅ‫ࣉ̭ͬͦͅب‬ၪ̳ͥ͂΋ͺ΋ϋ·ςȜΠ͈؊ႁȡ̴͙͌‫̞̤̀ͅ߸۾‬Ȅ‫ܖ‬໐̥ͣ 2 ̾͛ͤ͢ષ͈ါள͉́ड
ఱգੀ؊ႁഽȨ̷̴͈͈͙̦̏͂͌઀̯̩̈́ͤȄ؊ႁ‫ئ‬֖͈ࣛ‫࢙ࣛئ‬෻̦ఱ̧̩̦̈́ͥḘ̦̏ͦ൚‫ڂ‬ါள͈ެ̬
ఛႁͅ‫̩̯઀͉ޣג̳͖ݞ‬Ȅ౷ૼ؊൞ٜଢ଼ࠫ‫̳͖ݞͅض‬‫ྫ͉ޣג‬ণ̧́ͥ೾ഽ͂ࣉ̢ͣͦͥȅ! ঑ઇ໐͉ͅ଎ 5.6 ͅা̳̠̈́͢අ଻ͬခ̳͇ͥ͊ါள
ͬဥ̞̹ȅ‫ݗޘ‬࿅߿ષ͈ࡥ೰঑ઇ͉କ໹ 2 ༷̤͍࢜͢ષ
‫ ༷ͬ࢜ئ‬3 ͈̾஌ࠁ͇͊́κΟσ‫̹̱ا‬ȅକ໹༷͈͇࢜͊ ͈ ࣠ ଻ ͉ ࡥ ೰ ဥ ૴ ऺ ͈ ̵ ͭ ౯ ೷ ࢯ අ ଻ ̥ ͣ 6 ȿ106

5.! έ͹ͼΨȜါளٜଢ଼ͅ‫̩̿ܖ‬౷ૼ؊൞ٜଢ଼
5.1! ࠿൦εͼϋΠུડ͉́Ȅέ͹ͼΨȜါளͬဥ̞̹ࣸழ͙κΟσͥ͢ͅ౷ૼ؊൞ٜଢ଼ͬ৘ঔ̱Ȅ৘ࡑࠫ‫͈ض‬ठ࡛ͬদ͙̹ḙ̭͉̏́Ȅါள͈་պȪެၚȫ໦ືͬ‫ب‬೰̱̀Ȅ࣠଻ζΠςΛ·Αͬ൵੄̳ͥ࣠଻༹ͅ‫̩̿ܖ‬έ͹ͼΨȜါளȪո‫ئ‬Ȅ་պαȜΑέ͹ͼΨȜါள͂ࡤ͐ȫͬဥ̞̹κΟσ
ȪκΟσ Aȫ͂ါள͈‫ك‬ਹȪκȜιϋΠȫ໦ືͬ‫ب‬೰̱̀Ȅέτ΅ΏΫςΞͻζΠςΛ·Αͬ൵੄̳ͥ਴଻༹ͅ
‫̩̿ܖ‬έ͹ͼΨȜါளȪո‫ئ‬Ȅ‫ك‬ਹαȜΑέ͹ͼΨȜါள͂ࡤ͐ȫ [5.1, 5.2]ͬဥ̞̹κΟσȪκΟσ Bȫ͈ 2 ͈̾κΟσͬဥ̞̹ٜଢ଼ͤ͢ͅȄո‫࠿̳ͥ۾ͅئ‬൦࣐̹ͬ̽ȅ
! 1. ঑ઇ͈ླྀड़߸ତ͈‫ޣג‬! 2. ‫͈͒ݗޘ‬වႁ౷ૼ൲̱͂̀ȄέȜΙϋΈષ࿂͈௶೰
౵ͬঀဥ̱̹ાࣣ͂΂ςΐ΢σ͈৘౷ૼτασ౷ૼ൲ͬঀဥ̱̹ાࣣ͈֑̞
̤̈́Ȅમळ̞͉̾̀ͅࢃ੆̳̦ͥȄκΟσ AȪ་պαȜΑέ͹ͼΨȜါளκΟσȫ͂κΟσ BȪ‫ك‬ਹαȜΑέ͹ͼΨȜါளκΟσȫ͈֑̞͉Ȅષ੆̱̹ RC ‫͈ݗޘ‬κΟσ‫ঀͅا‬ဥ̳ͥέ͹ͼΨȜါள͈֑̞͈ఈȄ1)౤໐
‫͈ݗޘ‬κΟσ‫༹༷͈ا‬Ȅ2)̤͍ࠥ͢ષ໐ζΑ͈κΟσ‫ا‬༹͈༷Ȅ3)ഢുཡগ঑ઇ͈ླྀड़ႁ͈৾ͤե̞͈ 3 ത̜́ͥȅκΟσ AȪ་պαȜΑέ͹ͼΨȜါளκΟσȫ͉ͅ
TDAP III [5.3]ͬȄκΟσ BȪ‫ك‬ਹαȜΑέ͹ͼΨȜါளκ Ο σ ȫ ͅ ͉ OpenSees (Open System for Earthquake
Engineering Simulation) [5.4]ͬဥ̞̞̀ͥȅέ͹ͼΨȜါள͉ެ̬అੱ̳ͥ RC ໐ऺ͈๱஌ࠁ၎Ⴄ
අ଻ͬୈഽၻ̩ນ̳͂࡞̞̦ͩͦ̀ͥȄུٜଢ଼́ဥ̞̹
έ͹ͼΨȜါள͉́৊༷࢜ഘ޼͈जߠͬࣉၪ̱̞̞̀̈́
̹͛Ȅ̥͐ͤ΋ϋ·ςȜΠ̦ญ၂̱̀৊༷࢜ഘ޼̦जߠ
̳̦ٜͥ́͘ଢ଼́ठ࡛‫خ‬ෝ̈́ํս̜́ͥȅ
5.2! ٜଢ଼ૄ࠯
5.2.1! κΟσ A! κΟσ A ͉Ȅ଎ 5.1 ͅা̳̤͂ͤ঑ઇȄࠥȄષ໐ήυΛ·ͬκΟσ‫̹̱ا‬஠ఘࠏκΟσ̜́ͥȅ଎ 5.2 ͅκΟσA ͈મळͬা̳ȅ470 ୯ത 995 ါள͈ࣸழ͙κΟσ̜́ͥȅ̤̈́Ȅ౤໐‫͉ݗޘ‬κΟσ‫̴̵ا‬Ȅ̷͈࣠଻ͬ౤໐঑
ത͈঑ઇ͇͈͊࣠଻ͅ‫ࣉ̀͛܄‬ၪ̳̭̱̹ͥ͂͂ȅ! ‫ݗޘ‬໐͉Ȅ̳͓̀έ͹ͼΨȜါள́κΟσ‫̹̱ا‬ȅ΋ϋ·ςȜΠ౯࿂͉‫ڎ‬έ͹ͼΨȜ͈࿂ୟ̦൝‫̠ͥ̈́͂͢ث‬ͅ 800 ࡢ͈έ͹ͼΨȜͅ໦‫̹̱ڬ‬ȅါளಿ͉౯࿂͈฼ࠂ
Ȫ= 0.9 mȫ͂൳̲̱̞͂̀ͥȅέȜΙϋΈ̤͍͢ષ໐ήυΛ·͉ͅ஠౯࿂ခ࢘࣠଻ͬ‫ب‬೰̱̹஌ࠁ͉ͤါள̷ͬ
̸ͦͦဥ̞̹ȅષ໐ήυΛ·͈ਹၾͥ͢ͅ P-Չ࢘‫ࣉͬض‬ၪ̳̹ͥ͛ͅȄ࣠଻࣐Ⴅͅ੝‫ܢ‬؊ႁ࣐Ⴅͬັ‫̹̱ح‬ȅ! ٜଢ଼ͅဥ̞ͥऺၳ͈‫ޑ‬ഽͅ‫͉̱̀۾‬Ȅນ 3.2.8Ȅ3.2.9

kN/m ̱͂Ȅ‫؀‬ೄ༷͈͇͉࢜͊঑ઇ͈୭ࠗࠗॳ੥ͤ͢ 1.13
ȿ106 kN/m ̱̹͂ȅ! ౤໐঑ത͈‫ޘ‬৊༷࢜‫خ‬൲Ȇ‫ޘ‬৊ೄ‫ࡥ༷࢜ڙ‬೰঑ઇ͉́Ȅ‫ޘ‬৊༷͉̳͓࢜ͤͅླྀड़ႁͬࣉၪ̧́ͥκΟσͬဥ̞̹ḙ̭̏́Ȅ‫خ‬൲঑ઇȪ̳͓ͤ‫ࢹܥ‬ȫ͈੝‫͉଻࣠ܢ‬ષ੆͈̠͢ͅ౤໐‫͚܄ͬ଻͈࣠ݗޘ‬౤໐঑ത͈́࣠଻̱͂Ȅ1.5ȿ
105 kN/m ̱̹͂ȅ̳͓ͤ‫͈ࢹܥ‬൲ླྀड़ႁ͈‫͓ͥ಺ͬޣג‬̹͛ͅȄླྀड़߸ତ͉ 10%Ȅ20%Ȅ30%ͅ་‫̵̹̯ا‬ȅ๤‫̹͈͛ͅڛ‬Ȅ‫ޘ‬৊༷͉࢜ۖͅ஠ͅুဇ̳͂ͥȪ͇͊ͬဥ̞̞̈́ȫાࣣٜ͜ଢ଼̱̹ȅ̹̺̱Ȅ৘ष͉̭̠̱̹̳ͅ

ͅা̱̹ऺၳদࡑ͈̠̻Ȅ΋ϋ·ςȜΠ̞͉̾̀ͅ 1 m‫͈ڙ‬΋ϋ·ςȜΠήυΛ·̥ͣन̱̹৾ΏςϋΘȜͬဥ̞̀৘ࡑ඾ͅদࡑ̱̹ࠫ‫ͬض‬ဥ̞̹ȅ΋ͺ΋ϋ·ςȜΠ

76

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮̺̱Ȅତ౵ٜଢ଼͈հ೰͈̹̮̩͛ͅ઀̯̈́ࡘଚͬ
Rayleigh ࡘଚ̱͂̀ဓ̢̭̱̹ͥ͂͂ḙ̭̏́Ȅ‫ܖ‬੔૦
൲ତ͉ 2 HzȄ50Hz ̱͂Ḙ̏ͦͣͅచ̴̱̞̀ͦ͜ 0.1%͈ࡘଚ೰ତͬࣉၪ̱̹ȅ͓ͤ‫ླྀ͈ࢹܥ‬ड़೷ࢯඅ଻͉ͅȄ࿂գջం଻Ȅ௸ഽջం଻
൝̦̜̭ͥ͂Ȅ౤໐঑ത͈঑ઇ͉‫ޘ‬৊ೄ‫ࡥ͉༷࢜ͅڙ‬೰঑ઇ̜́ͤȄ‫ޘ‬৊༷͈࢜‫ݷ‬൲͉‫ޘ‬৊ೄ‫ݷ͈༷࢜ڙ‬൲͜ͅ‫̢̹͛ͥͦͣࣉ̦̭̯͂ͥͦޣג‬Ḙ͈̠̏͢ͅΏϋίσͅκΟσ‫̧̞͉͈̈́́ͥ́͜ا‬ḙ̭͉̏́Ȅ࡛ે́๤‫ڛ‬എယօͅဥ̧̞̭̦ٜͥ͂́ͥଢ଼κΟσͬဥ̞̞̠ͥ͂
۷ത̥̭̠̱̹ͣκΟσ‫̞࣐ͥ̀̽ͬا‬ȅ! ౤໐঑ത͈ೄ‫ࡥ͈༷࢜ڙ‬೰‫ܥ‬ෝ͉஌ࠁ͇̱͊͂̀κΟσ‫̹̱ا‬ȅ̷͈࣠଻͉ࡥ೰ဥ૴ऺ̵͈ͭ౯೷ࢯඅ଻͂౤໐‫ ̥ͣ଻͈࣠ݗޘ‬3.5ȿ105 kN/m ̱̹͂ȅ‫؀‬ೄ༷͈࢜͊
͇࣠଻͉঑ઇ͈୭ࠗࠗॳ੥ͤ͢ 6.8ȿ105 kN/m ̱̹͂ȅ! ‫ݗޘ‬࿅߿ષ͈ഢുཡগ঑ઇͅ‫͉̱̀۾‬Ȅ͈ࠥ‫؀‬ೄ৊ਔ͈ͤٝഢฺ̞ͅକ໹༷͈̳͓̦࢜ͤ୆̲̭̦ͥ͂͂̈́ͥḘ͈̏‫̹̞̯͛઀͉ޣג‬Ḙ̭͉̏́କ໹༷͉࢜ͅুဇ̱͂Ȅ‫؀‬ೄ༷͈࢜‫ݷ‬൲͈͙ͬນ̳͇͊ͬဥ̞̹ȅ‫؀‬ೄ༷͈࢜͊
͇͉઩ඏ͈‫ࣉͬޣג‬ၪ̳̹ͥ͛ͅȄ੝‫͉଻࣠ܢ‬঑ઇ͈୭ࠗࠗॳ੥ͤ͢ 1.04ȿ106 kN/m ̱͂Ȅգੀ௰͉̭͈࣠ͅ଻
́೷ࢯ̳̦ͥ֨ಫ௰͉࣠ͅ଻̦͕͖ΔυȪ1ȿ10-4 kN/mȫ͂̈́ͤȄ͕͂ͭ̓೷ࢯ̱̞͇̱̹̈́͊͂ȅ! ̤̈́Ȅ̴̞͈ͦ঑ઇٝ͜ഢ͉ুဇ̜̹́ͥ͛Ȅུٜଢ଼́͜঑ઇ͈κΟσ‫͉ͅا‬ٝഢ͇͊ͬဥ̞̞̞̀̈́ȅ! ٜଢ଼͉ͅȄ‫ૼح‬৘ࡑ̤̞̀ͅέȜΙϋΈષ́ࠗ௶̯ͦ
̹‫௸ح‬ഽͬဥ̞̹ȅέȜΙϋΈષ͉́Ȅ4 ߛ́‫௸ح‬ഽ̦ࠗ௶̯̹̦ͦḘ̷̸͈͈̏ͦͦΓΛΠͬဥ̞ͥાࣣ̭͂
͈ͦͣ໹޳౵ͬဥ̞ͥાࣣͬ๤‫̹̱̭̳͂͂ͥڛ‬ȅ̹͘Ḙ͉̏ͦ͂༆ͅ JR వ৾‫ܱפ‬჏͈΂ςΐ΢σ෨ࠁͬ૦໙಺
ା̱̹౷ૼ൲ͬဥ̞̹ٜଢ଼͜๤‫̞࣐̹͈ͥ̀̽͛ͅڛ‬ȅ! ‫ૼح‬૦໙ 100%͈ 1 ٝ࿒ུ͈৘ࡑ͈ஜ͉ͅȄ‫ૼح‬૦໙
30%ո‫͈ئ‬ထ๵‫ૼح‬৘ࡑ̦ໝତٝ৘ঔ̯̞̦ͦ̀ͥḘ̭͉̭͈̏́‫ࣉ̹̞̯͛ͅ઀͉ޣג‬ၪ̵̴Ȅྫఅੱ͈ેఠ
̥ͣ‫ૼح‬૦໙ 100%͈ 1 ٝ࿒ུ͈৘ࡑ͈౷ૼ൲ͬैဥ̯
̵̭̱̹ͥ͂͂ȅ̹͘Ȅ‫ૼح‬૦໙ 100%͈ 2 ٝ࿒ུ͈৘
ࡑ͈ठ࡛ٜଢ଼͈ࠫ‫͜ض‬া̱̞̦̀ͥȄ4 ડͅা̱̹̠͢
ͅ‫ૼح‬૦໙ 100%͈ 1 ٝ࿒ུ͈৘ࡑࢃ͉̥͐ͤͅ΋ϋ·ςȜΠ͈ญ၂͂৊༷࢜ഘ޼͈जߠ̦୆̲̤̀ͤȄུٜଢ଼κΟσ̦ठ࡛‫خ‬ෝ̈́ํս಼̢ͬͥఅੱτασͬచય̱͂
̹ٜଢ଼̞͂̈́̽̀ͥḙ͉̏ͦḘ̠̱̹ٜ̏ଢ଼κΟσͥ͢ͅठ࡛଻ͬ಺͓Ȅࣽࢃ͈‫ه‬ఴͬౝ̹ͥ͛ͅ৘ঔ̱̹͈͜
̜́ͥȅ̤̈́Ȅ‫ૼح‬૦໙ 100%͈ 1 ٝ࿒ུ͈৘ࡑ́‫ݗޘ‬࿅߿ͅ୆̲̹डఱ؊൞་պȄॼၣ་պ͈‫ͤ৾ͬޣג‬ව̹ͦͥ͛ͅȄέ͹ͼΨȜါள͈‫ڎ‬έ͹ͼΨȜ͈ॼၣ̴͙͌
̤͍͢؊ႁȄ‫ڎ‬ါள͈ॼၣ་ࠁ̤͍͢ႁͬ੝‫ેܢ‬ఠ̱͂̀ࣉၪ̱ٜ̀ଢ଼̱̹ȅ̹̺̱Ȅࢃ੆̳̠ͥ͢ͅ‫ૼح‬૦໙
100%͈ 1 ٝ࿒ུ͈৘ࡑ͈ठ࡛ٜଢ଼͉́Ȅॼၣ་պ͈ठ࡛
଻̦̩̞̹ࣞ̈́͛Ȅٜଢ଼͈́ॼၣ་պͬ৘ࡑ̵̜͂ͩͥ
̠͢ͅ಺ା̱̹ષ́Ȅ‫ૼح‬૦໙ 100%͈ 2 ٝ࿒ུ͈৘ࡑ
͈ठ࡛ٜଢ଼࣐̞ͬ̽̀ͥȅ! 1 ུಔࠁ৆͈ΓΛΠͺΛί̦ဥ̞̹ͣͦ RC ‫ݗޘ‬࿅߿͈૦൲ర‫ૼح‬৘ࡑٜͬଢ଼చય̳͂ͥાࣣ͉ͅȄRC ‫ݗޘ‬࿅߿͈၎Ⴄࡘଚ͈͙ͬࣉၪ̳ͥ͂৘ࡑࠫ‫͈ض‬ठ࡛ୈഽ̦
࢜ષ̳̞̠ͥ͂༭࣬[5.8]̦̜ͥḙ͈̹̏͛Ḙ̭͉̏́ȄRC ‫ݗޘ‬࿅߿͈၎Ⴄࡘଚ͈͙ͬࣉၪ̳̭̱̹ͥ͂͂ȅ̹

5.2.2! κΟσ B
κΟσ B ͉Ȅ଎ 5.7 ͅা̳೒̜ͤ́ͤȄ঑ઇȄࠥȄષ໐ήυΛ·̤͍͢౤໐‫͚܄ͬݗޘ‬஠ఘࠏκΟσ̜́ͥȅκΟσ B ͉Ȅ‫ك‬ਹαȜΑέ͹ͼΨȜါளͬ 6 ါள‫͚܄‬Ȅ
233 ୯തȄ311 ါள͈ࣸழ͙κΟσ̜́ͥȅ‫ݗޘ‬໐͉Ȅ̳͓̀έ͹ͼΨȜါள́κΟσ‫̹̱ا‬ȅ΋ϋ·ςȜΠ౯࿂͉‫ڎ‬έ͹ͼΨȜ͈࿂ୟ̦͕͖൳೾ഽ͂̈́
̠ͥ͢ͅ 920 ࡢ͈έ͹ͼΨȜͅ໦‫̹̱ڬ‬ȅ‫༷̯࢜ࣞݗޘ‬͈ါளಿ͉ 1.0 mȄါளඤ͈ୟ໦ത͈ତ͉ 5 ࡢ̱̹͂ȅٜଢ଼͉́Ȅષ໐ήυΛ·͈ਹၾͥ͢ͅ P-Ϛ࢘‫ࣉͬض‬ၪ̱̹ȅٜଢ଼ͅဥ̞ͥ΋ϋ·ςȜΠ‫ޑ‬ഽ̱͉͂̀Ȅນ 3.2.8 ͅ
া̱̹ 1 m ‫͈ڙ‬΋ϋ·ςȜΠήυΛ·̥ͣन̱̹৾ΏςϋΘȜͬဥ̞̀৘ࡑ൚඾ͅদࡑ̱̹ࠫ‫ͬض‬ဥ̞̹ȅ΋ͺ΋ ϋ · ς Ȝ Π ͈ ‫ ͉ ض ࢘ ௵ ࢰ ؍‬Ȅ ଎ 5.3 ͅ া ̳ ͢ ̠ ͅHoshikuma ͣ[5.5]͈೹մκΟσͬဥ̞̀ບ‫̱ث‬Ȅ؊ႁȡ̴͙͌ެ஌͉ȄHoshikuma ͈ͣ೹մ৆ͅ؊ႁ‫̤֖ࣛͅئ‬̞̀؊ႁ̦डఱգੀ؊ႁ͈ 20%̹̈́̽ͅ౲‫֚́ٴ‬೰̠͂̈́ͥ͢ͅਘୃͬ‫̢̹ح‬ȅུ࿅߿͉́Ȅఝഘ޼̦ਹ͇ࠑ̨
਀ͤ͢ͅ೰಍̯̞̹ͦ̀ͥ͛Ȅ‫ܢ͉ض࢘௵ࢰ؍‬ఞ̧̞́̈́‫خ‬ෝ଻̦̜̦ͥḘ̭͉̏́Ȅडࢃ́͘‫ܢ̦ض࢘௵ࢰ؍‬ఞ̧́ͥ͂‫ب‬೰̱ٜ̀ଢ଼̱̞̀ͥȅ̹͘Ȅ3 ౲෻޼͈ఝഘ޼̦΋ͺ΋ϋ·ςȜΠ͈‫ͅ௵ࢰ؍‬ခ࢘ͅ‫ܙ‬ဓ̱̞̀ͥ
̥๛̥͜࠿൦͈ဒ౷̦̜̦ͥḘ̭͉̏́ 3 ౲͈ఝഘ޼ͅ
ͥ͢‫ب̜̦͂ͥ௵ࢰ؍‬೰̱̞̀ͥḙ͈̠̳̏ͥ͂͢ͅఝ
ഘ޼ఘୟ๤͉ 0.46%͂̈́ͤȄ΋ͺ΋ϋ·ςȜΠ͈डఱգੀ ؊ ႁ V cc Ȅ ̷ ͈ শ ͈ ͌ ̴ ͙ H cc Ȅ ؊ ႁ ‫ ࢙ ͈ ֖ ࣛ ئ‬෻Edes ̷̸͉ͦͦ 34.9 MPaȄ0.0040Ȅ5.16 GPa ͂̈́ͥȅ̥͐ͤ΋ϋ·ςȜΠ͉Ȅ؊ႁષઌ֖͉́ Hoshikuma ͈ͣ೹մ৆ͬဥ̞Ȅ̴͙̦͌ 0.002 ͅో̳ͥশͅडఱ؊ႁ
Ȫ= ‫ͬ௵ࢰ؍‬਋̫̞̈́΋ϋ·ςȜΠ͈ఛႁȫͅో̳̭ͥ
̱̹͂͂ȅ؊ႁ‫͉֖́ࣛئ‬Ȅ̴͙̦͌ 0.007 ͅో̱̹শ
ͅ؊ႁ̦ 0 ̠͂̈́ͥ̈́͢஌ࠁκΟσ̱̹͂ȅ΋ϋ·ςȜΠ͈ੰ‫ك‬Ȇठश‫͈ك‬၎Ⴄ͉ͅȄ଎ 5.4 ͅা̳
Sakai, Kawashima ͈ ೹ մ κ Ο σ [5.6]ͬ ဥ ̞ ̹ ȅ ΋ ϋ ·ς ȜΠ͈֨ಫ‫ޑ‬ഽ͉ࣉၪ̱̞̞̀̈́ȅ৊༷࢜ഘ޼͈ࣸ‫ެڒ‬஌͉ͅȄ଎ 5.5 ͅা̳ࣛ໖ࢃ౮଻
߸ତͬ੝‫ܢ‬౮଻߸ତ͈ 2%̱͂̀ဓ̢̹ΨͼςΣͺκΟσͬȄ๱஌ࠁ၎Ⴄඅ଻͉ͅȄीȄ୼ോͥ͢ͅਘୃ
Menegotto-Pinto κΟσ[5.7] ͬဥ̞̹ȅ̹͘Ȅٜଢ଼ͅဥ̞
ͥഘ޼͈ࣛ໖‫ޑ‬ഽ̤͍͢੝‫ܢ‬౮଻߸ତ̱͉͂̀ນ 3.2.8
ͅা̱̹ࠫ‫͈ض‬໹޳౵ͬဥ̞̹ȅ̤̈́Ȅུٜଢ଼͉́৊༷
࢜ഘ޼͈जߠȄ෫౯൝ͬࣉၪ̱̞̞̹̀̈́͛Ȅུٜଢ଼͈ഐဥํս͉৊༷࢜ഘ޼̦ޫ໐जߠ̱ই͛ͥশത̜́́͘
ͥȅ

77

防災科学技術研究所研究資料
第 331号ა໲ΗͼΠσȜಠ৪ྴ঑ઇ໐͉ͅ଎ 5.6 ͅা̳๱஌ࠁඅ଻ͬခ̳͇ͥ͊ါள
ͬဥ̞̹ȅ‫ݗޘ‬ષ͈ࡥ೰঑ઇ͉କ໹ 2 ༷̤͍࢜͢ષ‫༷ئ‬
࢜ͬ 3 ࡢ͈ඊၛ̱̹஌ࠁ͇͊́κΟσ‫̹̱ا‬ȅକ໹ 2 ༷͈͇͈࢜͊࣠଻͉Ώϋδ;͂ࡤ͊ͦͥࡥ೰ဥ૴ऺ̵͈ͭ
౯೷ࢯඅ଻̥ͣ 6ȿ106 kN/m ̱͂Ȅ‫؀‬ೄ༷͈͇࢜͊࣠଻
͉୭ࠗࠗॳ੥ͅ‫ ̧̿ܖ‬1.13ȿ106 kN/m ̱̹͂ȅ౤໐঑ത͈‫خ‬൲঑ઇ͉́Ȅ‫ޘ‬৊༷͈̳͓࢜ͤླྀड़ႁͬ
ࣉၪ̱̹ḙ̭̏́Ȅ‫خ‬൲঑ઇȪ̳͓ͤ‫ࢹܥ‬ȫ͈੝‫଻࣠ܢ‬
͉ 6.0ȿ106 kN/m ̱̹͂ȅ̹͘Ȅ‫ޘ‬৊ೄ‫͈༷࢜ڙ‬೷ࢯ͉஌ࠁ͇̱͊͂̀κΟσ‫̱ا‬Ȅ̷͈࣠଻͉‫ݗޘ‬ષ͈ࡥ೰঑
ઇ͈࣠଻͂൳̲ 6.0ȿ106 kN/m ̱̹͂ȅ‫؀‬ೄ༷͈͇࢜͊
࣠଻͉୭ࠗࠗॳ੥ͅ‫ ̧̿ܖ‬6.8ȿ105 kN/m ̱̹͂ȅླྀड़
߸ତͬ 10%Ȅ20%Ȅ30%͂་‫̵̹̯ا‬ȅ̹̺̱Ȅ৘ष͉̭̠̱̹̳͓ͤͅ‫ླྀ͈ࢹܥ‬ड़අ଻͉ͅ࿂գ͞௸ഽջం଻
൝̦̜ͤȄ‫ޘ‬৊ೄ‫༷࢜ͅڙ‬౷ૼႁͬ਋̫ͥષߣ͂‫͈ߣئ‬௰࿂‫ླྀ́͜ۼ‬ड़ႁ̦อ‫̯ͥͦܞ‬ḙ͈̹̏͛Ȅ‫خ‬൲঑ઇ͈ႁ‫ڠ‬എඅ଻͉ໝॠ̜̦́ͥḘ̭͉̭̏́ͦͣͬౙ੗‫̱ا‬̀۰օ̈́κΟσͬဥ̞̭̱̹ͥ͂͂ȅ‫ݗޘ‬ષ͈ഢുཡগ঑ઇͅ‫͉̱̀۾‬Ȅ‫ޘ‬৊Ȅ‫ޘ‬৊ೄ‫༷ڙ‬̞͉࢜̾̀ͅ౤໐঑ത͈‫خ‬൲঑ઇ͂൳အ̳͓ͤͅླྀड़ႁ
ͬࣉၪ̧́ͥκΟσͬဥ̞̹ȅ༷֚Ȅ‫؀‬ೄ༷̞࢜̾̀ͅ
͉͈ࠥ‫ޘ‬৊ਔ͈ͤٝഢฺ̠ͅ຾̧ષ̦ͤ͂઩ඏ͈‫ͬޣג‬ࣉၪ̱̹ȅ੝‫͉଻࣠ܢ‬঑ઇ͈୭ࠗࠗॳ੥ͤ͢ 1.04ȿ106
kN/m ̱͂Ȅ֨ಫ௰͉ͅ೷ࢯ̱̞̈́͂‫ب‬೰̱̹ȅ̤̈́Ȅ̴̞͈ͦ঑ઇ̤̞̀͜ͅ 3 ৊ਔ͈ͤٝഢ͉ুဇ
͂‫ب‬೰̱̹ȅٜଢ଼͉ͅȄૼ൲రષ͉̩́̈́έȜΙϋΈષ࿂́ࠗ௶̯
̹ͦ‫௸ح‬ഽͬဥ̞̹ḙ͉̏ͦȄૼ൲రષͅ๤‫̱̀ڛ‬ȄέȜΙϋΈષ͉́ఉઁ͈؊൞͈௩໙̦̜ͤȄٜଢ଼͈වႁ
౷ૼ൲̱͉͂̀έȜΙϋΈષ࿂͈ܱ჏̦͏̯̱̞ͩ͂ࣉ
̢̹̹̜͛́ͥȅέȜΙϋΈષ࿂͉́Ȅ4 ߛ́‫௸ح‬ഽ̦ࠗ௶̯̞̹ͦ̀ͥ͛Ȅ4 ߛ̷̸͈͈ܱͦͦ჏ͬවႁ̳ͥ
ાࣣ͂ 4 ߛ͈໹޳౵ͬවႁ̳ͥાࣣٜͬ͂͜ͅଢ଼̱̹ȅ̹͘Ḙ͉̏ͦ͂༆ͅ΂ςΐ΢σ͈৘౷ૼτασ౷ૼ൲ͬဥ̞̹ٜଢ଼͜๤‫̞࣐̹͈ͥ̀̽͛ͅڛ‬ȅ৘౷ૼτασ͈ஜͅ‫ૼح‬૦໙ 10%Ȅ20%Ȅ30%͈ထ๵৘ࡑ̷̸̦ͦͦ 1 ٝȄ2 ٝȄ6 ٝ৘ঔ̯̞̦ͦ̀ͥḘ̭͉̭͈̏́‫̢ࣉ̞̯͂઀͉ޣג‬Ȅྫণ̱̞̀ͥȅ̹͘Ȅ৘౷ૼτασ 1 ٝ࿒͈৘ࡑ̳̥ͤ́͐ͤ͢ͅͅ΋ϋ·ςȜΠ͈ญ၂͂৊༷࢜ഘ޼͈जߠ̦୆̲̤̀ͤȄ৘౷ૼτασ 2 ٝ࿒͈৘ࡑ͉Ȅུٜଢ଼κΟσ̦ठ࡛‫خ‬ෝ̈́ํս಼ͬ
̢̞̦̀ͥȄεΑΠάȜ·ႀ֖ͅచ̳ٜͥଢ଼κΟσ͈ഐဥ଻ͬ࠿൦̳̹ͥ͛ͅȄ̢̜ٜ̀ଢ଼̱̹͈̜́ͥ͜ȅ̤̈́Ȅ৘౷ૼτασ 2 ٝ࿒͈ٜଢ଼͉Ȅ৘౷ૼτασ 1 ٝ࿒͈වႁࢃȄ࿅߿͈૦൲̦਱໦ਓ̹̽͘ࢃͅ৘ঔ̱̹ȅRC ‫ݗޘ‬࿅߿͈૦൲ర‫ૼح‬৘ࡑͥ͢ͅ؊൞ٜͬଢ଼̳ͥ
ાࣣ͉ͅȄ֝८ࡘଚ̦๱ુͅ઀̯̞͂‫ب‬೰̱Ȅ࿅߿͈၎Ⴄࡘଚ͈͙ͬࣉၪ̳ͥ͂৘ࡑࠫ‫͈ض‬ठ࡛଻̦̞̞̠͂͢
༭࣬[5.8]̦̜ͥḙ͈̹̏͛Ḙ̭͉̏́Ȅ֝८ࡘଚͬ 0 ͂ࡉ̱̈́ȄRC ‫ݗޘ‬࿅߿͈၎Ⴄࡘଚ͈͙ͬࣉၪ̳̭ͥ͂͂
̱̹ȅ̤̈́Ȅତ౵ٜଢ଼ͬհ೰̵̯̹̮̩ͥ͛ͅ઀̯̈́ු
଻ࡘଚͬဓ̢̭̱ͥ͂͂Ȅ૦൲ତ̦ 1 Hz ͂ 100Hz ̤ͅ

2009 年 1 月

̞̀ࡘଚ೰ତ ͬ 0.1%̳͂ͥ Reyleigh ࡘଚͬဓ̢̭ͥ͂
̱̹͂ȅ
5.3! ठ࡛ٜଢ଼
5.3.1! κΟσ A ͈ાࣣ(1) ࡥခ૦൲අ଻
! ນ 5.1 ͉Ȅٜଢ଼κΟσ͈ࡥခਔ‫̜́ض̹ࠫ͛͂ͬ͘ܢ‬ͥȅٜଢ଼͉́Ȅ‫ݗޘ‬໐͉஠౯࿂ခ࢘࣠଻Ȅ‫خ‬൲঑ઇ͈‫ޘ‬৊༷͉࢜ͅȄ‫خ‬൲঑ઇͬ၎ႤκΟσ́κΟσ‫̹̱ا‬ष͈੝‫ͬ଻࣠ܢ‬ခ̳ͥ͂‫ب‬೰̱̹ȅ‫خ‬൲঑ઇ͈੝‫͉଻࣠ܢ‬๱ુͅఱ̧̈́౵ͬ‫ب‬೰̱̞̹̀ͥ͛Ḙ͈̏ાࣣ͉ম৘ષȄࡥ೰঑ઇ̱̹͂ાࣣ൳အ̈́ેఠ͈ࡥခ౵̦‫ͥͦͣ͛ݥ‬ȅ̹͘Ḙ͈̏ఈͅȄ‫ݗޘ‬໐̞͉̾̀ࣛͅ໖࣠଻ͬ‫ب‬೰̱̹ͤȄ‫خ‬൲঑ઇ͈ླྀड़̦୨̹ͦેఠͬே೰̱̀Ḙ͈̏‫خ‬൲঑ઇ͈੝‫ͬ଻࣠ܢ‬ΔυȪ‫ޘ‬৊༷࢜ۖͅ஠ুဇȫ̱̹͂ાࣣ͈ࠫ‫͜ض‬া̱̞̀ͥȅ! ̭ͦͦ͊͢ͅȄ৘ࡑ́ං̹ͣͦࡥခਔ‫͉ܢ‬Ȅ‫ݗޘ‬໐ͬ஠౯࿂ခ࢘࣠଻̱͂̀κΟσ‫̳ͥا‬ાࣣ͂ࣛ໖࣠଻̱͂
̀κΟσ‫̳ͥا‬ાࣣ͈̤̤͚͇ಎ‫ۼ‬೾ഽ͈౵̞͂̈́̽̀
ͥȅષ‫ࡥ͈༷࢜ئ‬ခਔ‫͉̞̀̾ͅܢ‬Ȅ̴̞͈ͦાࣣ͜ͅ
̤̤͚͇֚౿̳ͥȅ̤̈́Ȅٜଢ଼͉́౤໐঑ത͈‫ޘ‬৊༷࢜‫خ‬൲঑ઇ͈࣠଻ͬࣉၪ̱̞̈́ાࣣ͉ͅȄ‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷࢜͂‫ޘ‬৊ȪYȫ༷͈࢜ࡥခਔ‫͉ܢ‬൳೾ഽ̦͂̈́ͥȄ৘ࡑ͉́‫ޘ‬৊ȪYȫ༷͈࢜ࡥခਔ‫̯͛ͅ઀̦ܢ‬ං̤ͣͦ̀
ͤȄ౤໐঑ത͈‫ޘ‬৊༷࢜‫خ‬൲঑ઇ͈ླྀड़ႁ̦‫ޘ‬৊༷͈࢜૦൲අ଻ͅ‫̦̭̹̱͖͂ݞͬޣג‬ଔख़̯ͦͥȅ(2) έȜΙϋΈષ࿂͈වႁ͂΂ςΐ΢σ͈৘౷ૼτασͬঀဥ̱̹ાࣣ͈‫ޣג‬! ນ 5.2Ȅ଎ 5.8 ͉ȄέȜΙϋΈષ͈ 4 ߛ́ࠗ௶̯̹ͦ‫ح‬௸ഽḘ̏ͦͣͬ໹޳̱̹‫௸ح‬ഽ̤͍͢ JR వ৾‫ܱפ‬჏͈΂ςΐ΢σ෨ࠁ͈૦໙಺ା౷ૼ൲ͬවႁ̱͂̀౷ૼ؊൞
ٜଢ଼࣐̹ͬ̽ࠫ‫ͬض‬๤‫̜͈̹̱ͥ́͜ڛ‬ḙ̭͉̏́Ȅ౤໐঑ത͈‫ޘ‬৊༷࢜‫خ‬൲঑ઇ͈ླྀड़߸ତͬ 20%̱̞͂̀ͥȅ̤̈́Ȅນ 5.2 ͉ͅȄࢃ੆̳ͥླྀड़߸ତͬ་‫̵̹̯ا‬ٜଢ଼ࠫ‫̵̜̀ͩ͜ض‬া̱̞̀ͥȅ! ̭ͦͣͦ͊͢ͅȄέȜΙϋΈષ͈ 4 ߛ́ࠗ௶̯̹ͦ‫ح‬௸ഽ̭͂ͦͣͬ໹޳̱̹‫௸ح‬ഽͬဥ̞ͥ͂Ȅ‫ݗޘ‬ഛ౤̤̫ͥͅडఱ؊൞་պ̱͉͂̀Ȅडఱ́ 2%͈ओ̦୆̲ͥ
̭̦͂໦̥ͥȅ໹޳̱̹‫௸ح‬ഽͥࠫ͢ͅ‫͉́ض‬Ȅ൚ட̦̈́ͣȄࡢș͈ࠗ௶തͥ͢ͅ‫௸ح‬ഽ̥ͣං̹ͣͦࠫ‫͈ض‬ಎ‫ۼ‬എ̈́౵ͬা̱̞̀ͥȅ໹޳̱̹‫௸ح‬ഽٜͥ͢ͅଢ଼ࠫ‫ض‬͉́Ȅ‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ༷࢜ͅచ̱̀৘ࡑࠫ‫ ̸̷ͦͦͤ͜͢ض‬5%Ȅ 9%ఱ̧͛ͅଔ೰̯ͦͥḙ̏ͦͬࡔത̥͈ͣडఱ་պ̱͂̀ບ‫̷͈̳͂ͥث‬ओ͉ 4%̜́ͥȅ! ̹͘ȄJR వ৾‫ܱפ‬჏͈΂ςΐ΢σ෨ࠁ͈૦໙಺ା౷ૼ
൲ͬවႁ౷ૼ൲̳͂ͥ͂έȜΙϋΈ́ࠗ௶̯̹ͦ‫௸ح‬ഽͬဥ̞ͥાࣣͤ͢͜Ȅ‫ޘ‬৊ȪYȫ༷͉࢜ͅ؊൞་պͬ 1.5
෼ఱ̧͛ͅບ‫̭̳ͥ̈́͂͂ͥث‬ȅ༷֚Ȅ‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷͉࢜ͅୃ௰́ 30%઀̯͛ͅȄ໅௰́ 40%ఱ̧͛ͅບ‫ث‬̳ͥȅ

78

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮শ͈࣫́؊൞ͬ୶ͅ‫ͥ͛ݥ‬ຈါ̦̜ͤḘ͈̹̏͛Ḙ̭͉̏́Ȅ౤໐঑ത̤̫ͥͅ‫خ‬൲঑ઇ͂‫ݗޘ‬ષ͈ഢുཡগ঑
ઇ͈ླྀड़ͬࣉၪ̱̞̈́ાࣣ͂ླྀड़߸ତͬ 0.20 ͂‫ب‬೰̱̹ાࣣ͈ 2 ਅ႒ٜͬଢ଼̱̹ḙ̭̏́Ȅླྀड़ႁ͉၎ႤΨΥ̽̀͢ͅκΟσ‫̤̱ͤ̀ا‬Ȅ੝‫͉̱̀͂଻࣠ܢ‬๱ુͅఱ̧̈́౵ͬ‫ب‬೰̱̞̹̀ͥ͛Ȅླྀड़ႁͬࡉࣺ̺ͭાࣣ͉ͅ
ম৘ષȄ౤໐঑ത͈‫خ‬൲঑ઇ͈‫ޘ‬৊༷࢜͂‫ݗޘ‬ષ͈ഢുཡগ঑ઇ͈‫ޘ‬৊ೄ‫ࡥ͉༷࢜ڙ‬೰঑঵̯̞ͦ̀ͥેఠ͈́
ࡥခ౵̦‫ͥͦͣ͛ݥ‬ȅٜଢ଼͉ͅȄέȜΙϋΈષ͈ 4 ߛ́ࠗ௶̯̹ͦ‫௸ح‬ഽ͈໹޳౵ͬවႁ̱͂̀ဥ̞̹ȅນ 5.3 ͉Ȅࡥခ౵ٜଢ଼͈ࠫ‫ض‬ං̹ͣͦࡥခਔ‫͂ͬ͘ܢ‬̹͛ࠫ‫̜ͥ́ض‬ȅླྀड़ͬࣉၪ̱̞̈́ાࣣ͉ͅȄ‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷͈࢜ࡥခਔ‫ ͉ܢ‬0.39 ຟȄ‫ޘ‬৊ȪYȫ༷͈࢜ࡥခਔ‫ ͉ܢ‬0.38 ຟ͂କ໹ 2 ༷͈࢜ࡥခਔ‫̦ܢ‬๤‫ڛ‬എ߃̩̈́ͥȅ༷֚Ȅླྀड़ႁͬࡉࣺ̺ͭાࣣ͉ͅȄࡥခਔ‫ޘ͉ܢ‬৊༷࢜
ͅ 0.21 ຟȄ‫ޘ‬৊ೄ‫ ༷࢜ͅڙ‬0.36 ຟ͂̈́ͥḙ̭̏́Ȅླྀड़ႁͬࡉࣺ̺ͭાࣣ͉ͅȄ‫ޘ‬৊̴͈͙̈́ͣ‫ޘ‬৊ೄ‫༷࢜ڙ‬͈ࡥခਔ‫͜ܢ‬ౣ̩͈͉̈́ͥȄ‫ޘ‬৊ೄ‫͈ݗޘ͈༷͒࢜ڙ‬་ࠁฺ̽̀ͅ‫̷͈͂ݗޘ‬ષ͈ഢുཡগ঑ઇͅ୆̲ͥ‫ޘ‬৊༷͈࢜௖చ་պ̦ࢰ௵̯̹̜ͦͥ͛́ͥȅٜଢ଼ͤ͢ͅං̹ͣͦࡥခਔ‫ͬܢ‬ນ 4.1 ͅা̱̹৘ࡑͅ
ͤ͢ං̹ͣͦࡥခਔ‫͂ܢ‬๤‫̳͂ͥڛ‬Ȅুਹैဥࢃ͈ેఠ
̤̫ͥͅࡥခਔ‫̦ܢ‬ड͜ౣ̩Ȅ৘ࡑஜͅΩσΑ‫ح‬૦ͤࠗ͢ͅ௶̱̹ࡥခਔ‫ͤ͜͢ܢ‬ౣ̞ḙ͉̏ͦȄٜଢ଼͉́Ȅ‫ޘ‬‫ͅݗ‬అੱ̦஠̩ව̞̞̽̀̈́஠౯࿂ခ࢘࣠଻ͬခ̳ͥે
ఠ͈ࡥခਔ‫͈̞ͥ̀͛ͅݥͬܢ‬చ̱Ȅ‫͉ͅݗޘ‬๷ळ̈́·ρΛ·̦ව̞̽̀ͥ‫خ‬ෝ଻͞έȜΙϋΈඤ͈৊༷࢜ഘ޼
͈་ࠁ͈‫ޣג‬Ȅૼ൲ర͈ࣣ̦͉̞̭͂ࠫ࣠ࠫ́̈́͂൝̦
‫̬ͥͦͣݷ‬ȅ৘౷ૼτασ 1 ٝ࿒ਞၭࢃͅΩσΑ‫ح‬૦̽̀͢ͅ‫͛ݥ‬̹‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷͈࢜ࡥခਔ‫ ͉ܢ‬0.77 ຟ̜͈́ͥͅచ
̱Ȅླྀड़ႁͬࡉࣺ̺ͭાࣣ͈ٜଢ଼ͥ͢ͅࡥခਔ‫ ͉ܢ‬0.75
ຟ̤̈́̽̀ͤͅȄୈഽ̩͢ଔ೰̧̞́̀ͥȅ༷֚Ȅ‫ޘ‬৊ȪYȫ༷͈࢜ࡥခਔ‫͉ܢ‬ȄΩσΑ‫ح‬૦̽̀͢ͅ 0.88 ຟ͂‫͈̞ͥ̀ͦͣ͛ͅݥ‬చ̱̀Ȅླྀड़ႁͬࡉࣺ̺ͭાࣣ͈ٜ
ଢ଼ͥ͢ͅࡥခਔ‫ ͉ܢ‬0.24 ຟ͂৘ࡑ౵͈֚͂౿ഽ̦೩̞ȅླྀड़ͬࣉၪ̱̞̈́ાࣣ͉́Ȅ‫ޘ‬৊ȪYȫ༷͈࢜ࡥခਔ‫ܢ‬
͉ 1.00 ຟ͂̈́ͤȄ৘ࡑ౵͉ླྀड़ႁͬࡉࣺ̞̈́͘ાࣣͅ߃
̩Ȅླྀड़ႁͬࡉࣺ̺ͭાࣣ͈͂ಎ‫̜ͥͅۼ‬ȅ! ৘౷ૼτασ 2 ٝ࿒͈৘ࡑਞၭࢃ͈ٜଢ଼ͤ͢ͅ‫̹͛ݥ‬‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷͈࢜ࡥခਔ‫͉ܢ‬Ȅླྀड़ͬࣉၪ̱̞̈́κΟσȄླྀड़߸ତ 0.20 ͬ‫ب‬೰̱̹κΟσ͂͜ͅ৘౷ૼτα(3) ౤໐঑ത͈‫ޘ‬৊༷࢜‫خ‬൲঑ઇ͈൲ླྀड़ႁ͈‫ޣג‬! ଎ 5.9 ͉Ȅ౤໐঑ത͈‫ޘ‬৊༷࢜‫خ‬൲঑ઇ͈൲ླྀड़ႁ͈
κΟσ‫̹͓͛ͥͅ಺ͬޣג͈ا‬Ȅ൲ླྀड़߸ତͬ 10%Ȅ20%Ȅ
30%͂་‫̵̯̀ا‬ठ࡛ٜଢ଼࣐̹ͬ̽ࠫ‫ͬض‬া̱̹͈́͜
̜ͥȅ̤̈́Ȅ๤‫̹͈͛ͅڛ‬Ȅ‫ޘ‬৊༷̦࢜ۖ஠ুဇ͈ાࣣ
ͅచ̱ٜ̀͜ଢ଼̱̹ȅडఱ؊൞་պ͉ນ 5.2 ͅা̱̹͂
̤̜ͤ́ͥḙ̭̏́Ȅවႁ౷ૼ൲̱͉͂̀ȄέȜΙϋΈ
͈ 4 ߛ́ࠗ௶̯̹ͦ‫௸ح‬ഽ͈໹޳̱̹͂ȅ! ̭ͦͣͦ͊͢ͅȄ౤໐঑ത͈‫ޘ‬৊༷࢜‫خ‬൲঑ઇ͈̳͓
ͤ‫͈ࢹܥ‬κΟσ‫͉ޣג͈ا‬ఱ̧̩Ḙ̏ͦͬۖ஠ুဇ̳͂
ͥાࣣͅచ̱̀൲ླྀड़߸ତͬ 30%̳͂ͥાࣣ͉́Ȅ‫ݗޘ‬ഛ౤͈डఱ؊൞་պͅ 68%͈ओ̦୆̲ͥȅ৘ࡑࠫ‫͈͂ض‬๤‫͊ͦ͢ͅڛ‬Ȅ൲ླྀड़߸ତͬ 20%̳͂ͥાࣣ̦ड͜ଔ೰
ୈഽ̦̞͢ȅ̹̺̱Ȅષ੆͈̠̳͓ͤ͢ͅ‫ླྀ͈ࢹܥ‬ड़೷ࢯඅ଻͉ͅȄ࿂գջం଻Ȅ௸ഽջం଻൝̦̜̭ͥ͂͞‫ޘ‬৊ೄ‫ݷ͈༷࢜ڙ‬൲͈͂ͼϋΗȜͺ·Ώοϋ൝̜̹ͥ͛͜Ȅࣽࢃ͉̭̠̱̹‫ݷ‬൲අ଻ͬࣉၪ̧́ͥκΟσ‫̦ا‬ຈါ̜́ͥ͂ࣉ̢ͣͦͥȅ(4) ठ࡛ٜଢ଼
! (2)Ȅ(3)ͅা̱̹ࠫ‫̢̀͘͏ͬض‬Ȅවႁ౷ૼ൲̱͉͂̀
έȜΙϋΈ͈ 4 ߛ͈ࠗ௶ത͈‫௸ح‬ഽ͈໹޳౵ͬဥ̞Ȅ౤໐঑ത͈‫ޘ‬৊༷̳͓࢜ͤ‫͈ࢹܥ‬൲ླྀड़߸ତͬ 20%̱͂̀Ȅ‫ૼح‬૦໙ 100%͈ 1 ٝ࿒͂ 2 ٝ࿒ུ͈৘ࡑͅచ̳ͥठ࡛
ٜଢ଼࣐̹ͬ̽ḙ͈̏ࠫ‫ͬض‬଎ 5.10 ͅা̳ȅ! ‫ૼح‬૦໙ 100%͈ 1 ٝ࿒ུ͈৘ࡑͅచ̳ٜͥଢ଼͉́Ȅडఱ؊൞་պ͉ 4%͈ࢋओ͈ํս́ଔ೰̧̞́̀ͥȅॼၣ་պ͉৘ࡑ̦‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ༷࢜ͅచ̷̸̱̀ͦͦ-0.018 mȄ-0.017 m ̜̦́ͥȄٜଢ̷଼͉́
̸ͦͦ 0.004mȄ-0.004 m ٜ͂ଢ଼͈༷̦઀̯͛ͅଔ೰̳ͥḙ͉̏ͦȄडఱ؊൞་պͅో̱̹౲‫̞̤̀ͅٴ‬Ȅ৘ࡑ͉́৊༷࢜ഘ޼͈जߠ̦୆̲̤̀ͤḘ̠̱̹̏అੱ̦ٜଢ଼́
͉ࣉၪ̯̞̭̦֦̜֚ͦ̀̈́͂́ͥ͂ࣉ̢ͣͦͥȅକ໹ႁȡକ໹་պ͈၎Ⴄ͈๤‫ͤ͢ڛ‬Ȅެ̬ఛႁ̞̾̀͜͢ͅ
̩ठ̧࡛̞̭̦́̀ͥ͂໦̥ͥȅ! ‫ૼح‬૦໙ 100%͈ 2 ٝ࿒ུ͈৘ࡑͅచ̳ٜͥଢ଼͉́Ȅडఱ؊൞་պȄॼၣ་պ͂͜ͅ৘ࡑࠫ‫ͤ͜͢ض‬ఱ̧̩̈́ͥȅ̥͐ͤ΋ϋ·ςȜΠ͈ญ၂Ȅ৊༷࢜ഘ޼͈जߠ̦୆
̲̹ࢃ͈౷ૼ؊൞ͬठ࡛̳͈͉ͥȄ࡛ે͈έ͹ͼΨȜါளٜଢ଼͉́ඳ̱̩ȄκΟσ͈٨ၻ͞૧̹̈́κΟσ͈‫ٳ‬อ൝͈৾ͤழ͙̦ຈါ̜́ͥȅσ 1 ٝ࿒ਞၭࢃ͈‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷͈࢜ࡥခਔ‫ͤ͜͢ܢ‬ౣ̩̤̈́̽̀ͤȄ৘ࡑࠫ‫͉֚͂ض‬౿̱̞̦̈́Ḙ͈̏ࡔ֦͉̩̥̞̞ͩ̽̀̈́͢ȅ

5.3.2! κΟσ B ͈ાࣣ
Ȫ1ȫࡥခ૦൲අ଻
OpenSees ͬဥ̞̹ࡥခ౵ٜଢ଼͉́Ȅහփ͈শ̤̫࣫ͅ
ͥ୪஌࣠଻ͬဥ̞̹ࡥခ౵ٜଢ଼̦‫خ‬ෝ̜́ͥḙ̷̏́Ḙ̭͉̏́Ȅ1)ুਹͬैဥ̵̯̹ેఠȄ2)৘౷ૼτασ 1ٝ࿒ਞၭࢃȄ3)৘౷ૼτασ 2 ٝ࿒ਞၭࢃ͈ 3 ͈̾ેఠͅచ̱ٜ̀ଢ଼̱̹ḙ̭̏́Ȅ2)͂ 3)͈ાࣣ͉ͅḘ̏ͦͣͥ͢ͅ‫ح‬૦ࢃ૦൲̦਱໦ਓ̹̽͘ેఠͅచ̱̀ࡥခ૦൲
අ଻ͬ‫̹̱̭͂͂ͥ͛ݥ‬ȅ̤̈́Ḙ͈̹͉̏͛ͅȄහփ͈

Ȫ2ȫέȜΙϋΈષ࿂͈වႁ͂΂ςΐ΢σ͈৘౷ૼτασͬঀဥ̱̹ાࣣ͈‫ޣג‬
ນ 5.4Ȅ଎ 5.11 ͉Ȅවႁ౷ૼ൲̱͂̀Ȅ1)έȜΙϋΈ
ષ͈ 4 ߛ́ࠗ௶̯̹ͦ‫௸ح‬ഽ̷̸ͬͦͦဥ̞̹ાࣣȄ2)̭͈ͦͣ໹޳‫௸ح‬ഽͬවႁ̱̹ાࣣȄ3)৘౷ૼτασ౷ૼ൲ͬවႁ̱͂̀ैဥ̵̯̹ાࣣ͈౷ૼ؊൞ٜଢ଼ࠫ‫ͬض‬79

防災科学技術研究所研究資料
第 331号ა໲ΗͼΠσȜಠ৪ྴ๤‫̜͈̹̱ͥ́͜ڛ‬ḙ̭͉̏́Ȅླྀड़߸ତͬ 0.20 ͂‫ب‬೰̱̹ાࣣ͈ٜଢ଼ࠫ‫͈ض‬ఈȄࢃ੆̳ͥླྀड़߸ତͬ་‫̵̯ا‬̹ાࣣ͈ٜଢ଼ࠫ‫̵̜̀ͩ͜ض‬া̱̞̀ͥḙ̏ͦͣͦ͊͢ͅȄέȜΙϋΈષ͈ 4 ߛ́ࠗ௶̯̹ͦ‫ح‬௸ഽͬैဥ̵̯̹ાࣣ̭͈͂ͦͣ໹޳‫௸ح‬ഽͬैဥ̵̯
̹ાࣣ͉ͅȄडఱ؊൞་պ̱͉͂̀Ȅडఱ 11 %͈ओ̦୆
̲̭̦ͥ͂໦̥ͥȅ̤̈́Ȅ໹޳‫௸ح‬ഽͬဥ̞̹ٜଢ଼͉́Ȅ‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ༷͈ٜ࢜ଢ଼౵͉৘ࡑࠫ‫ض‬̷̸ͤͦͦ͢͜ 22%Ȅ 4%઀̯̞ḙ̏ͦͬକ໹ 2 ଼໦଼ࣣ̱̹ͬडఱ་պ̱͂̀ບ‫̷͈̳͂ͥث‬ओ͉ 10%̈́ͥͅȅ΂ςΐ΢σ͈৘౷ૼτασ౷ૼ൲ͬවႁ̱̹ાࣣ͉ͅȄέȜΙϋΈષ͈໹޳‫௸ح‬ഽͬවႁ̱̹ાࣣͅ๤‫̱̀ڛ‬Ȅ‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷͈࢜؊൞་պ͉ 0.9 ෼ͅȄ‫ޘ‬৊ȪYȫ༷͈࢜؊൞་պ͉ 1.3 ෼̈́ͥͅȅ2009 年 1 月

Ȫ4ȫठ࡛ٜଢ଼
έȜΙϋΈ͈ 4 ߛ̤̫ͥͅ໹޳‫௸ح‬ഽͬවႁ̱͂Ȅ‫خ‬൲঑ઇ̤͍͢ഢുཡগ঑ઇ͈ླྀड़߸ତͬ 0.20 ̱͂̀Ȅ৘౷ૼτασ 1 ٝ࿒͂ 2 ٝ࿒͈؊൞ٜͬଢ଼̱̹ḙ̏ͦͬ৘ࡑ
౵͂๤‫̱̀ڛ‬଎ 5.13 ͅা̳ȅ৘౷ૼτασ 1 ٝ࿒‫ح‬૦ͅచ̳ٜͥଢ଼͉́Ȅષ੆͈̠͢ͅକ໹ 2 ଼༷ࣣ̱̹࢜ͬडఱ؊൞་պ͉ 0.174 m ̜́ͤȄ৘ࡑ౵͈ 90%͂̈́ͥȅॼၣ་պ͉৘ࡑ͉́‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷࢜Ȅ‫ޘ‬৊ȪYȫ༷࢜ͅచ̷̸̱̀ͦͦ 0.018 mȄ
0.017 m ̜̦́ͥȄٜଢ̷̸଼͉́ͦͦ 0.006 mȄ0.008 m͂৘௶౵ًͬ઀ບ‫̳ͥث‬ḙ͈̏ࡔ֦̱͉͂̀Ȅ৘ࡑ͉́৊༷࢜ഘ޼͈जߠ̦୆̲̤̀ͤḘٜ̏ͦͬଢ଼͉́ࣉၪ̱
̞̭̦̀̈́͂‫̬ͥͦͣݷ‬ȅ̹͘Ȅٜଢ଼ͤ͢ͅ‫ܖݗޘ̹͛ݥ‬໐͈କ໹ႁȡ‫ݗޘ‬ഛ౤͈କ໹་պ͈၎Ⴄ͉৘ࡑ͈ࠫ‫ض‬ං̹ͣͦ၎Ⴄͬठ̧࡛̞́̀ͥȅ৘౷ૼτασ 2 ٝ࿒͈৘ࡑͅచ̳ٜͥଢ଼͉́Ȅडఱ؊൞་պ͉Ȅ‫ޘ‬৊ೄ‫ڙ‬ȪXȫ༷࢜́ 0.111 mȄ‫ޘ‬৊ȪYȫ༷
࢜́ 0.226 m ̜́ͤȄକ໹ 2 ଼໦଼ࣣ̳ͬͥ͂ 0.237 m͂̈́ͥḙ̴͉̞̏ͦͣͦ͜৘ࡑ౵ͤ͢͜઀̯̞ȅ༷֚Ȅٜଢ଼ͥ͢ͅॼၣ་պ͉Ȅ‫ޘ‬৊ೄ‫ ͉༷࢜ͅڙ‬0 ̜́ͤȄ৘౷ૼτασ 1 ٝ࿒ͅ๤‫̦̩̯ͥ̈́઀̱̀ڛ‬Ȅ‫ޘ‬৊༷͉࢜ͅ 0.047 m ͂৘౷ૼτασ 1 ٝ࿒ͅ๤͓ಠ̱̩ఱ̧̩̈́
̞̽̀ͥȅ৘౷ૼτασ 2 ٝ࿒͈ٜଢ଼͉Ȅ৊༷࢜ഘ޼͈
जߠ̦̳́ͅ୆̲̹ࢃ͈ٜଢ଼̜́ͤȄഐဥํս಼̢ͬ̀
̞ͥതͅಕփ̦ຈါ̜́ͥȅոષ͈ࠫ‫ͤ͢ض‬Ȅ̥͐ͤ΋ϋ·ςȜΠ͈ญ၂Ȅ৊༷࢜ഘ޼͈जߠ̦୆̲̹ࢃ͈౷ૼ؊൞ͬठ࡛̳͈͉ͥඳ̱̞ȅκΟσ͈٨ၻ͞૧̹̈́κΟσ͈‫ٳ‬อ൝͈৾ͤழ͙̦ຈါ
̢̜̞́ͥ͂ͥȅȪ3ȫ౤໐঑ത͈‫خ‬൲঑ઇ̤͍͢‫ݗޘ‬ષ͈ഢുཡগ঑ઇ͈
൲ླྀड़ႁ͈‫ޣג‬଎ 5.12 ͉Ȅ౤໐঑ത͈‫خ‬൲঑ઇ̤͍͢‫ݗޘ‬ષ͈ഢുཡ
গ঑ઇ͈൲ླྀड़ႁ͈κΟσ‫̹͓͛ͥͅ಺ͬޣג͈ا‬Ȅླྀड़߸ତͬ 0Ȅ0.10Ȅ0.20Ȅ0.30 ͂་‫̵̹̯ا‬ાࣣ͈؊൞ͬ
ࠗॳ̱̹ȅවႁ̱͉͂̀ȄέȜΙϋΈ͈໹޳‫௸ح‬ഽͬဥ̞̞̀ͥȅडఱ؊൞་պ͉ນ 5.4 ͅা̱̹̤̜͂ͤ́ͥḙ̏ͦͣͦ͊͢ͅȄ౤໐঑ത͈‫خ‬൲঑ઇ̤͍͢‫ݗޘ‬ષ͈ഢുཡগ঑ઇ͈ླྀड़ႁ͈་‫͉ޣג͈ا‬ఱ̧̩Ȅ‫ݗޘ‬ഛ౤̤̫ͥͅ‫ޘ‬৊ȪYȫ༷͈࢜डఱ؊൞་պ͉Ȅླྀड़ͬࣉၪ
̱̞̈́ાࣣ͉ͅ 0.355 m ̜͈́ͥͅచ̱Ȅླྀड़߸ତͬ 0.30
̳͂ͥ͂Ȅ0.095 m ͂Ȅ࿩ 1/4 ͅ೩‫̳ͥئ‬ȅ৘ࡑࠫ‫͂ض‬๤‫̳͂ͥڛ‬Ȅླྀड़߸ତͬ 0.20 ̳͂ͥાࣣ̦Ȅ‫ޘ‬৊ȪYȫ༷͈࢜؊൞་պͬȄ̹͘Ȅླྀड़߸ତͬ 0.10 ̳͂ͥાࣣ̦‫ޘ‬৊ೄ‫͈༷࢜ڙ‬؊൞་պ̷̸ͬͦͦ௖చഎ̩͢ͅठ࡛̳ͥḙ͈̠̏̈́ͥ͢ͅࡔ֦͉Ȅ‫ޘ‬৊ೄ‫͈͈༷ࠥ࢜ڙ‬؊൞ฺ̞ͅ
ഢുཡগ঑ઇ́຾̧ષ̦̦ͤ୆̲Ḙ̠̏̈́ͥ͂ླྀड़ႁ̦
ैဥ̱̩̞̠̈́̈́ͥ͂අ଻̦ࡉࣺ̞̞̹ͦ̀̈́͛͂͘ࣉ
̢ͣͦͥȅ





















80

ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかນ5.1! κΟσ A ͈ࡥခਔ‫ܢ‬
Table 5.1! Natural Periods of Model A.
Transverse direction
Longitudinal direction(X) (sec)(Y) (sec)
Experimental result
0.55
0.46
Stiffness of the column was assumed to be initial stiffness
Stiffness of movable bearing was
0.37
0.18
considered
Stiffness of movable bearing was
0.37
0.38
ignoredStiffness of the column was assumed to be yield stiffness
Stiffness of movable bearing was
0.63
0.20
considered
Stiffness of movable bearing was
0.63
0.64
ignored

Vertical direction(Z) (sec)
0.10
0.11
0.11
0.11
0.11



ນ5.2! κΟσ A ͥ͢ͅවႁ౷ૼ൲̤͍͢౤໐঑ത͈‫ޘ‬৊༷࢜‫خ‬൲঑ઇ͈κΟσ‫ޣג͈ا‬
Table 5.2 Effect of Input Ground Accelerations and Bearing Models on the Response Displacement (Model A).
Maximum
Transverse direction
Longitudinal direction
displacement(X) (m)(Y) (m)(m)
Positive side Negative side Positive side Negative side
Experimental result
0.133-0.1190.173-0.1700.195
Effect of input ground acceleration (Friction coefficient of movable bearing is 20 %)Average
0.140-0.0850.188-0.1890.202
NW corner
0.142-0.0870.186-0.1860.200
NE corner
0.140-0.0860.190-0.191
0.204
SE corner
0.138-0.0840.189-0.1930.204
SW corner
0.143-0.0850.183-0.1880.201
80% of original JR
0.100-0.1190.285-0.116
0.301
Takatori record
Effect of input ground acceleration (Friction coefficient of movable bearing is 20 %)No friction force was
0.139-0.0850.281-0.2290.289
considered
Friction coefficient = 10%
0.146-0.0850.222-0.2170.234
Friction coefficient = 20%
0.140-0.0850.188-0.1890.202
Friction coefficient = 30%
0.137-0.0850.159-0.1580.172

81ა໲ΗͼΠσȜಠ৪ྴ
防災科学技術研究所研究資料 第 331号

2009 年 1 月

ນ5.3 κΟσ B ͈ࡥခਔ‫ܢ‬
Table 5.3 Natural Periods of Model B.
Transverse direction
Longitudinal(X) (sec)
direction(Y) (sec)1) After dead weight was applied.
Model considering without friction force
Model considering with friction force2) After first E-Takatori excitation
Model considering without friction force
Model considering with friction force3) After second E-Takatori excitation
Model considering without friction force
Model considering with friction force

Vertical direction(Z) (sec)

0.39
0.36

0.38
0.21

0.07
0.07

0.94
0.75

1.00
0.24

0.08
0.07

0.78
0.73

0.80
0.24

0.07
0.07

ນ5.4 κΟσ B ͥ͢ͅවႁ౷ૼ൲̤͍͢౤໐঑ത͈‫ޘ‬৊༷࢜‫خ‬൲঑ઇ͈κΟσ‫ޣג͈ا‬
Table 5.4 Effect of Input Ground Accelerations and Bearing Models on the Response Displacement (Model B).
Transverse direction
Longitudinal direction
Maximum(X) (m)(Y) (m)displacement(m)
Positive side
Negative side
Positive side
Negative side
Experimental result
0.133-0.1190.173-0.1700.195
Effect of input ground acceleration (Friction coefficient of movable bearing is 20 %)Average
0.104-0.0600.166-0.160NW corner
0.111-0.0620.148-0.133

0.175
0.157

NE corner

0.115-0.0670.166-0.1430.177

SE corner

0.108-0.0620.160-0.1590.168

SW corner

0.103-0.0620.167-0.1440.175

80% of original JR Takatori
record0.094-0.0860.220-0.101

0.233

Effect of input ground acceleration (Friction coefficient of movable bearing is 20 %)No friction force was
0.127-0.121
0.355-0.218
considered
Friction coefficient = 10%0.134-0.0780.208-0.203
Friction coefficient = 20%
0.104-0.0600.166-0.160Friction coefficient = 30%
0.096-0.0580.084-0.095

82

0.366
0.219
0.175
0.106

ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

Nodes: 470
Elements: 995

଎5.1! κΟσ AȪ་պαȜΑέ͹ͼΨȜါளκΟσȫFig. 5.1 Model A (Displacement Based Fiber Element Model).


Mass Blocks

Sliding Bearings

GirderMovableBearing in
LG Direction

Fixed
BearingSlabColumnFooting

Fixed
Bearings

Z㧔UD㧕

Z㧔UD㧕

X㧔TR㧕

Y㧔LG㧕
଎ 5.2! κΟσ A ͈મळ
Fig. 5.2 Detail of Model A.


83



ა໲ΗͼΠσȜಠ৪ྴ
防災科学技術研究所研究資料 第 331号

0Stress (MPa)H cu.20

Hul

StrainCover
Concrete2009 年 1 月

Hpl࡮3

Hpl࡮1
Hpl࡮2

Core
Concrete

- 20

ful࡮3
f
ful࡮1 ul࡮2

H cc
- 40
- 0.01-0.0050StressStrain!
଎5.3! ‫͈ض࢘௵ࢰ؍‬ບ‫͂ث‬༫၁஌͈! ! ! ࿑5.4! ΋ϋ·ςȜΠ͈ੰ‫ك‬Ȇठश‫͈ك‬κΟσ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ၎ႤκΟσFig. 5.3 Envelope of Concrete Stress-Strain
Fig. 5.4 Unloading and Reloading Path of
Hysteresis.
Concrete.

Response after Partial Loading
Response without Partial Loading! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !

( Hsy , f sy )Es

Stress

Es2

StressStress

(H 0 , f 0 )Rs= Es2
Es( Hr , f r )StrainStrainStrain!
!
! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !
(a) MP κΟσ! !
! ! (b) ਘୃ MP κΟσ(1) ਘୃ MP κΟσ! ! ! ! (2) ઀૦໙͈ੰ‫ك‬ठश‫ͬك‬਋̫ͥાࣣ͈၎Ⴄඅ଻
଎5.5! ৊༷࢜ഘ޼͈؊ႁȡ̴͙͌κΟσȪਘୃ MP κΟσȫFig. 5.5 Stress-Strain Hysteresis of Longitudinal bars (Modified Menegotto and Pinto Model).
F

F

F
Friction Force
D

D

D
ImpactLinear(a) ࡥ೰঑ઇ

Elastoplastic Bilinear(b) ‫خ‬൲Ȫ̳͓ͤȫ঑ઇ
଎ 5.6! ঑ઇ͇͈͊අ଻
Fig. 5.6 Analytical Idealization of Bearings.

84

On-Skeleton(c) ષ‫͈༷࢜ئ‬઩ඏཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

଎5.7! κΟσ BȪ‫ك‬ਹαȜΑέ͹ͼΨȜါளκΟσȫFig. 5.7 Model B (Force Based Fiber Element Model).

85ა໲ΗͼΠσȜಠ৪ྴ
防災科学技術研究所研究資料 第 331号

NE
SE
Average

5

X (TR) Direction

TEST
Average
JR Takatori 80%

0

-0.4
0

0.4

TEST
NW
SW

Y (LG) Direction

0.4

Friction Coefficient

TEST
10%
30%



0

0%
20%

-0.4
10
15
0
5
10
Time (sec)Time (sec)!
଎5.9! ౤໐঑ത͈‫ޘ‬৊༷࢜‫خ‬൲঑ઇ͈κΟσ‫ޣג͈ا‬ȪκΟσ A ȫ
Fig. 5.9 Effect of Bearing Models (Model A).

86

15

Y (LG) Direction

Friction Coefficient

5



0

-0.4
10
15
0
5
10
Time (sec)Time (sec)(b) έȜΙϋΈષ͈ 4 ߛ͈໹޳͈‫௸ح‬ഽ͂ JR వ৾΂ςΐ΢σ෨ࠁ͈๤‫ڛ‬
଎5.8! වႁ౷ૼ൲͈‫ޣג‬ȪκΟσ A ȫ
Fig. 5.8 Effect of Input Ground Accelerations (Model A).

0%
20%

15

TEST
Average
JR Takatori 80%

5

0

NE
SE
Average

0

0.4

X (TR) Direction-0.4
0Y (LG) Direction

-0.4
10
15
0
5
10
Time (sec)Time (sec)(a) έȜΙϋΈષ͈ 4 ߛ͈‫௸ح‬ഽ̷͈͂໹޳͈๤‫ڛ‬

Displacement (m)0.4
Displacement (m)

0.4

0

-0.4
0

Displacement (m)

TEST
NW
SW

Displacement (m)X (TR) Direction

Displacement (m)Displacement (m)0.42009 年 1 月

TEST
10%
30%
15


ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

20

X (TR) Direction

Y (LG) Direction22

Acceleration (m/sec )Acceleration (m/sec )

20

0

0

Displacement (m)

0.4

5

10
Time (sec)

X (TR) Direction

150(a) ‫ݗޘ‬ഛ౤͈؊൞‫௸ح‬ഽTESTANALYSIS

0

-0.4
0

5

10
Time (sec)

15

0.4

10
Time (sec)

15

20

TEST
ANALYSIS

0

5

15

20

0
0.4
-0.4
0
Lateral Displacement (m)Lateral
Displacement(m)!
(c) କ໹ႁȡକ໹་պ͈၎Ⴄ
(1) ‫ૼح‬૦໙ 100%͈ 1 ٝ࿒ུ͈৘ࡑ
଎ 5.10 (1)! κΟσ A ͥ͢ͅ C1-1 ‫ݗޘ‬࿅߿͈౷ૼ؊൞͈ଔ೰
Fig. 5.10(1) Analytical Results of C1-1 Column (Model A).

0.4(b) ‫ݗޘ‬ഛ౤͈؊൞་պ

10
Time (sec)2000 Y (LG) Direction
Lateral Force (kN)

Lateral Force (kN)5

Y (LG) Direction

-0.4
0

20

2000 X (TR) Direction

0

-2000
-0.4

TEST
ANALYSIS-20

20

Displacement (m)

-20

TEST
ANALYSIS

0

0

-2000

87

ა໲ΗͼΠσȜಠ৪ྴ
防災科学技術研究所研究資料 第 331号

20

X (TR) Direction

Y (LG) Direction22

Acceleration (m/sec )Acceleration (m/sec )20

2009 年 1 月

00

Displacement (m)

0.4

5

10
Time (sec)

X (TR) Direction

150(a) ‫ݗޘ‬ഛ౤͈؊൞‫௸ح‬ഽTESTANALYSIS

0

-0.4
0

5

10
Time (sec)

15

0.4

10
Time (sec)

15

20

TEST
ANALYSIS

0

5

15

20

0
0.4
-0.4
0
Lateral Displacement (m)Lateral
Displacement(m)!
(c) କ໹ႁȡକ໹་պ͈၎Ⴄ
(2) ‫ૼح‬૦໙ 100%͈ 2 ٝ࿒ུ͈৘ࡑ
଎5.10 (2)! κΟσ A ͥ͢ͅ C1-1 ‫ݗޘ‬࿅߿͈౷ૼ؊൞͈ଔ೰
Fig. 5.10(2) Analytical Results of C1-1 Column (Model A).

0.4(b) ‫ݗޘ‬ഛ౤͈؊൞་պ

10
Time (sec)2000 Y (LG) Direction
Lateral Force (kN)

Lateral Force (kN)5

Y (LG) Direction

-0.4
0

20

2000 X (TR) Direction

0

-2000
-0.4

TEST
ANALYSIS-20

20

Displacement (m)

-20

TEST
ANALYSIS

0

0

-2000

88

ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

0.4

TEST
NW
NE
SW
SE
Average

X (TR) Direction

Displacement (m)Displacement (m)

0.4

0

-0.4
0

5

Time (sec)

10

0

-0.4
0

15

TEST
NW
NE
SW
SE
AverageY (LG) Direction

5Time (sec)

10

15

!
(a) έȜΙϋΈષ͈ 4 ߛ͈‫௸ح‬ഽ̷͈͂໹޳͈๤‫ڛ‬X (TR) Direction

TEST
Average
JR Takatori 80%

0

-0.4
0

5

Time (sec)100.4
Displacement (m)Displacement (m)

0.4

TEST
Average
JR Takatori 80%

0

-0.4
0

15

Y (LG) Direction

5Time (sec)

10

15


(b) έȜΙϋΈષ͈ 4 ߛ͈໹޳͈‫௸ح‬ഽ͂ JR వ৾΂ςΐ΢σ෨ࠁ͈๤‫ڛ‬
଎ 5.11! වႁ౷ૼ൲͈‫ޣג‬ȪκΟσ Bȫ
Fig. 5.11 Effect of Input Ground Accelerations (Model B).

0.4

X (TR) Direction00%
Friction Coefficient
20%
-0.4
0
5
10
Time (sec)

TEST
10%
30%
15

Displacement (m)Displacement (m)0.4

Y (LG) Direction00%
Friction Coefficient
20%
-0.4
0
5
10
Time (sec)!
଎ 5.12! ౤໐঑ത͈‫ޘ‬৊༷࢜‫خ‬൲঑ઇ͈κΟσ‫ޣג͈ا‬ȪκΟσ B ȫFig. 5.12 Effect of Bearing Models (Model B).

89



TEST
10%
30%
15


ა໲ΗͼΠσȜಠ৪ྴ
防災科学技術研究所研究資料 第 331号

0

TEST
ANALYSIS

0

2000

5

Time (sec)10Time (sec)

2

-20
0

0.4

TEST
ANALYSIS

10

5

TEST
ANALYSIS

Time (sec)10

Y (LG) Direction

15

TEST
ANALYSIS0(c) ‫ܖݗޘ‬໐ͅैဥ̳ͥକ໹ႁ

5

Time (sec)10152000 Y (LG) Direction

0
TEST
ANALYSIS
0
Lateral Displacement (m)Lateral Force (kN)

Lateral Force (kN)

10Time (sec)

0

-2000
0

15

TEST
ANALYSIS
1520

Y (LG) Direction

2000

2000 X (TR) Direction

-2000
-0.4

5

-0.4
0

15

0

5

0


(b) ‫ݗޘ‬ഛ౤͈؊൞་պX (TR) Direction

-2000
0

Y (LG) Direction

(a) ‫ݗޘ‬ഛ౤͈؊൞‫௸ح‬ഽ

X (TR) Direction-0.4
0Lateral Force (kN)

10Time (sec)

Displacement (m)Displacement (m)0.4

5Displacement (m)

-20
0

TEST
ANALYSIS
15
20

20
Acceleration (m/sec )X (TR) Direction

2

Acceleration (m/sec )20

2009 年 1 月

0

-2000
-0.4

0.4

TEST
ANALYSIS
0

Lateral Displacement (m)!
(d) କ໹ႁȡକ໹་պ͈၎Ⴄ
(1) ৘౷ૼτασ 1 ٝ࿒͈৘ࡑ
଎ 5.13 (1)! κΟσ B ͥ͢ͅ C1-1 ‫ݗޘ‬࿅߿͈౷ૼ؊൞͈ଔ೰
Fig. 5.13(1) Analytical Results of C1-1 Column (Model B).

90

0.4

ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか

0

TEST
ANALYSIS

0

2000

5

Time (sec)10Time (sec)

2

-20
0

0.4

TEST
ANALYSIS

10

5

TEST
ANALYSIS

Time (sec)10

Y (LG) Direction

15

TEST
ANALYSIS0(c) ‫ܖݗޘ‬໐ͅैဥ̳ͥକ໹ႁ

5

Time (sec)10152000 Y (LG) Direction

0
TEST
ANALYSIS
0
Lateral Displacement (m)Lateral Force (kN)

Lateral Force (kN)

10Time (sec)

0

-2000
0

15

TEST
ANALYSIS
1520

Y (LG) Direction

2000

2000 X (TR) Direction

-2000
-0.4

5

-0.4
0

15

0

5

0


(b) ‫ݗޘ‬ഛ౤͈؊൞་պX (TR) Direction

-2000
0

Y (LG) Direction

(a) ‫ݗޘ‬ഛ౤͈؊൞‫௸ح‬ഽ

X (TR) Direction-0.4
0Lateral Force (kN)

10Time (sec)

Displacement (m)Displacement (m)0.4

5Displacement (m)

-20
0

TEST
ANALYSIS
15
20

20

Acceleration (m/sec )X (TR) Direction

2

Acceleration (m/sec )

20

0

-2000
-0.4

0.4

TEST
ANALYSIS
0

Lateral Displacement (m)!
(d) କ໹ႁȡକ໹་պ͈၎Ⴄ
(2) ৘౷ૼτασ 2 ٝ࿒͈৘ࡑ
଎5.13 (2)! κΟσ B ͥ͢ͅ C1-1 ‫ݗޘ‬࿅߿͈౷ૼ؊൞͈ଔ೰
Fig. 5.13(2) Analytical Results of C1-1 Column (Model B).

91

0.4

防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004

6.! ͂͛͘
!

̯༷͈࢜ํս͈͂‫࠿͈߸۾‬൦͜ਹါ̜́ͥȅ࡛ह͈୭ࠗ
͉́Ȅ஦଻ެၚͬ۰օ̈́ߍࠁήυΛ·໦ືͤ͢ͅນ̱Ȅਞޫশ͈؊൞་պ̦श‫ك‬৘ࡑࠫ‫͇ٽ͂ض‬ାࣣ̳̠ͥ͢ͅȄζ·υͅ஦଻Ϊϋΐಿͬ୭೰̱̞̀ͥȅ̱̥̱Ȅ৘ष͉ͅȄ२‫ࠁڙ‬໦ື͈༷̦৘ष͈஦଻ެၚ໦ືͅ߃̩ȄࣽࢃḘ̠̱̹̏ത͜‫̱̀ྙح‬஦଻Ϊϋΐಿٜͬଢ଼̱Ȅٜଢ଼κΟσ͈ࣞୈഽ‫ͬا‬଎̞̩̽̀ຈါ̦̜ͥȅ5ȫέȜΙϋΈඤ͈৊༷࢜ഘ޼͈་ࠁͤ͢ͅȄ‫ܖݗޘ‬໐͈ٝഢ̦୆̲̞̀ͥḙ͈̏‫ͬޣג‬Ȅਲြِ̦࣭͉́έȜΙϋΈඤ͈৊༷࢜ഘ޼͈า̫੄̱͈‫ޣג‬ȄΣνȜΐȜρϋΡ൝͉́ Strain penetration ͂ࡤ̞ͭ́ͥȅέȜΙϋΈඤ͈৊༷࢜ഘ޼͈་ࠁ͂ັ಍୨ͦ൝͈ι΃ΣΒθ̧̦͉̥̞̹̽ͤͩͣ̈́͛ͅȄ։̹ٜ̈́̽ଢ଼ષ͈ࣉ̢༷̦ဥ̞ͣ
̧̞̦ͦ̀̀ͥȄࣽࢃȄ৘ࡑΟȜΗ͈ٜଢ଼̥ͣȄέȜΙϋΈඤ͈৊༷࢜ഘ޼͈་ࠁ̦‫ܖݗޘ‬໐͈ٝഢͅ‫̳͖ݞ‬ι΃ΣΒθͬྶ̥̱ͣͅȄഐ୨̈́κΟσͬ‫ٳ‬อ̳ͥຈါ̦
̜ͥȅ૝͍̺̱ͥٝ͢ͅഢ་պ͈‫͉ޣג‬஠ఘ͈؊൞་պ
͈ 10ȡ20ɓ೾ഽ̜ͤḘ̏ͦͬࣉၪ̳̭ͥ͂ͤ͢ͅ؊൞་
պ͈ଔ೰ୈഽ̧̭̦ͬࣞ͛ͥ͂́ͥȅ!
6ȫ࡛ह͈ఛૼٜଢ଼͉Ȅջட̱͂̀କ໹ˍ༷̮࢜͂ͅ৘ঔ
̯̞̦ͦ̀ͥȄ৘࡛ય͉́କ໹ 2 ༷࢜͂ષ‫ ͈༷࢜ئ‬3 ༷࢜‫ح‬૦‫͈ئ‬෫ًٟ೾͈ٜଢ଼̦ਹါ̜́ͥȅ͈ࣽٝ৘ࡑͬ
‫ུͅܖ‬Ȅ་൲৊ႁ‫ ̫̤ͥͅئ‬2 ৊ެ̬࢘‫࠿ͬض‬൦̱࣐̩̀ຈါ̦̜ͥȅ
7ȫ2 ٝ࿒͈‫ح‬૦͉́ॼၣ་պ̦ఱ̧̩̹̈́̽ȅ࡛ह͈ఛૼ୭͉ࠗ́Ȅॼၣ་պ؊൞Αβ·Πσͅ‫ॼ̞̀̿ܖ‬ၣ་պ͈ଔ೰̦࣐̞̦̈́ͩͦ̀ͥḘ͈̏ଔ೰༹͈ࣞഽ‫ͬا‬଎ͥ͂൳শͅȄॼၣ་պ͉գੀ໐͈అੱȄ৊༷࢜ഘ޼͈͉
͙̺̱ͣȄ༊૤‫ك‬ਹȪPȡϺ࢘‫ض‬ȫ൝͈̠̽̀̓͢͢ͅ
̈́‫ͬޣג‬਋̫̥ͥͬ࠿൦̱Ȅॼၣ་պ̦୆̲̥͈ͥι΃ΣΒθͬྶ̥̳ͣͥͅຈါ̦̜ͥȅ8ȫ࡛ે͈୭͉ࠗ́Ȅड‫׻ٸ‬ഘ޼պ౾͈́΋ϋ·ςȜΠ͈գੀ̴͙͌ͅ‫̞̀̿ܖ‬Ȅਞޫેఠ̦೰̞̦͛ͣͦ̀ͥȄड‫׻ٸ‬պ౾͉̩́̈́Ȅ̜ͥ೾ഽඤ௰́͘అੱ̦ૺ̺ͭે
ఠͬਞޫેఠ͂ࣉ̢̧͓͉̞̥̞̠ͥ́̈́͂փࡉ̜ͥ͜ȅ͈ࣽٝ৘ࡑ̥͉ͣȄ‫ࠁ׫‬౯࿂‫ͅݗޘ‬చ̳ͥਞޫ་պ͈୭
೰༹ͬ࠿൦̳ͥຈါ̦̜ͥȅ
9ȫ଱༹࢘‫͉ͅض‬Ȅ౯࿂͈ఱ̧̯֦̳ܳͥ࢘ͅ‫ض‬Ȅੀ઀࿅߿͉́௖য௱ͬୃ̱̩ࣉၪ̧̞́̈́࢘‫ض‬Ȅ‫௵ࢰ؍‬൝͈ࢹ଼௱ͅࡉ̧ࣺ͚͓଱༹࢘‫ض‬൝Ȅζ·υȄη·υ͈ၰ࿂̥͈ͣ࢘‫̜̦ͥض‬ḙ̏ͦͣͬ೰̱̹݅ષ́Ȅࡢ༆ͅ଱༹࢘
‫࠿ͬض‬൦̳ͥຈါ̦̜ͥȅੀ઀৘ࡑ͈͂๤‫̞̀̿ܖͅڛ‬Ȅఛႁ͂་ࠁ଻ෝȄ၎ႤκΟσ͈අ଻Ȅ΀ΥσΆȜ‫ݟ‬ਓ଻ෝȄެၚ໦ື͂஦଻Ϊϋΐಿͅచ̳ͥ଱༹࢘‫̥ͣྶͬض‬̳ͥͅຈါ̦̜ͥȅ
10ȫ࡛हȄఛૼ୭ࠗͅࢩ̩ဥ̞̞ͣͦ̀ͥ΋ϋ·ςȜΠ͈‫͂௵ࢰ؍‬ഘ޼͈ࢹ଼௱ͬழ͙ࣺ̺ͭέ͹ͼΨȜါளٜଢ଼ͬ‫ུ̳ͥ͂ܖ‬ٜଢ଼κΟσͬဥ̞̭ͥ͂ͤ͢ͅȄలˍٝ࿒͈‫ح‬૦৘ࡑͅచ̱͉̀Ȅ̜ͥ೾ഽ͈ୈഽ́౷ૼ؊൞ͬ
ٜଢ଼̧́ͥȅ̱̥̱Ȅల 2 ٝ࿒͈‫ح‬૦৘ࡑͅచ̳ٜͥଢ଼
ୈഽ͉೩̞ȅ̯ͣͅȄॼၣ་պͅచ̳ٜͥଢ଼ୈഽ̦ະ਱
໦̜́ͥȅ͈ࣽٝ৘ࡑࠫ‫ͬض‬αϋΙζȜ·ΟȜΗ̱͂̀Ȅ! ոષͅা̱̹̠͢ͅȄ৘ఱܰ࿅͈‫ঀͬݗޘ‬ဥ̱̹ঃષ
੝͈༲ٟ́͘ͅঢͥ 3 ষࡓૼ൲ర‫ૼح‬৘ࡑͬ৘ঔ̱Ȅ௖য௱͈ଷ࿩ͬ਋̫̞̈́ఉତ͈෫ًٟ೾͈අ଻ͬນ̳ୃ‫ږ‬̈́αϋΙζȜ·৘ࡑΟȜΗͬං̧̭̦̹ͥ͂́ȅ෫ًٟ೾͈ٜྶͬૺ͛Ȅٜଢ଼਀༹͈࠿બͬ৘ঔ̱̞̩̀ષ́Ȅུ৘ࡑ͈փ͉݅ࡠ̩ͤ̈́ఱ̧̞ȅུ৘ࡑͤ͢ͅ୆͙੄̯
̹ͦཛྷఱ̈́৘ࡑΟȜΗ͉Ȅ࡛हȄ‫נ‬փٜଢ଼͈ഷષ̜ͤͅȄ̺͘Ȅࣽࢃ͈ࡄ‫ͬݪ‬ఞ̹̫̞̈́ͦ͊̈́ͣ̈́ത̦ఉତ̜ͥȅ̱̥̱Ḙ̏ͦͣͬ೒̱̀ȄਲြȄ๊֚ͅঐഊ̧̯̹ͦ̀
̭͉֑̠࡛͂͂ય͞Ȅࣽࢃ͈ٜଢ଼ͅਹါ̈́৘ࡑΟȜΗ̦ං̞ͣͦ̀ͥȅ࡛শതུ̤̫ͥͅ৘ࡑ͈අಭ͂Ḙ̥̏ͦͣྶ̥̹ͣ͂̈́̽ࣽࢃ͈࠿൦‫ه‬ఴ͉ո‫͈ئ‬೒̜ͤ́ͥȅ
1ȫ1970 ාయͅ࠺୭̯̹ͦೄࠂ 1.8mȄ̯ࣞ 7.5m ͈ RC ‫ޘ‬‫ݗ‬ȪC1-1 ࿅߿ȫ͉Ȅ1995 ා໶ࡩࡇධ໐౷ૼ͈षͅ JR వ৾‫́פ‬۷௶̯̹ͦ‫ܱૼޑ‬჏ͬ౷๕͂ࢹ௮໤͈൲എ௖ࡽै
ဥͬࣉၪ̱̀৘౷ૼ൲τασͅਘୃ̱̹ܱ჏ͬවႁ̳ͥ
̭͂ͤ͢ͅȄలˍٝ࿒͈‫ح‬૦͉́ࠗॳષ͈ਞޫ་պ͈ 1.5
෼ȪΡςέΠ 2.56%ȫȄల 2 ٝ࿒͈‫ح‬૦͉́ࠗॳષ͈ਞޫ
་պ͈࿩ 2.7 ෼ȪΡςέΠ 4.19%ȫ͈஦଻؊൞་պͬ୆
̲̹ȅ
2ȫਲြȄ஦଻‫ͤ͢ͅا‬ਔ‫̦ܢ‬૝͍̹ેఠ̈́ͥ͂ͅȄဒૼ൝Ȅ2 ٝ࿒͈‫ح‬૦͉́ఉઁ͈؊൞་պ͈௩ఱ͉୆̲̀͜
అੱ̷͉͕ͦ̓ૺജ̱̞͈͉̞̥̈́́̈́͂ࣉ̢̧ͣͦ̀
̹̦Ȅ৘ष͉ͅȄ2 ٝ࿒͈‫ح‬૦͉́ 1 ٝ࿒͈‫ح‬૦ͤ͢͜అੱ̦ఱ̧̩ૺജ̱̹ȅ࡛ह͈ٜ́͘ଢ଼͉́Ȅ1 ٝ࿒͈‫ح‬૦ͥ࣠͢ͅ଻Ⴆ‫͈ࠏݗޘ̦ا‬ਔ‫ܢ‬අ଻ͬ་‫̵̯ا‬Ḙ̦̏ͦ؊൞་պͬఱ̧̩̱̹͂ࣉ̢̦ͣͦͥḘ̏ͦո‫ͅٸ‬అੱ͈ૺജͅ‫ܙ‬ဓ̱̹ι΃ΣΒθ̦̞̥̈́ͬ࠿൦̳ͥຈ
ါ̦̜ͥȅ
3ȫఝഘ޼ͥ͢ͅ‫͉௵ࢰ؍‬ਔ༷̯༷࢜ࣞ࢜͜͜ͅͅఱ̧̩
་‫̤̱ͤ̀ا‬Ȅఝഘ޼ͥ͢ͅ΋ͺ΋ϋ·ςȜΠ͈‫௵ࢰ؍‬࢘‫͉ض‬ਲြ‫ب‬೰̧̯̞̠ͦ̀̀ͥ͢ͅȄ֚အ͉̞́̈́ȅ̹͘Ȅ3 ౲͈ఝഘ޼ͥ͢ͅࢰ௵͜Ȅඤ௰Ȅಎ؇Ȅ‫ٸ‬௰͈ఝഘ޼̤̞̀ͅໝॠͅ་‫̞̱ͥ̀ا‬ȅ࡛ह́͘ͅȄໝତ౲͈ఝഘ޼ͥ͢ͅ‫̩̈́ઁ͉ݪࡄ̳ͥ۾ͅض࢘௵ࢰ؍‬Ȅ͈ࣽٝ৘ࡑ̦̭ͦͅ‫̱ܲ̀۾‬ਹ̈́ૂ༭ͬဓ̢ͥȅ̥͐ͤ΋
ϋ·ςȜΠ͈ญၗȄ৊༷࢜ഘ޼͈͉͙ͣ੄̱Ȅఝഘ޼͈̫͊ͣȄ΋ͺ΋ϋ·ςȜΠ͈అੱͬ‫͚܄‬εΑΠάȜ·ႀ֖́͘ഐဥ‫خ‬ෝ̈́΋ϋ·ςȜΠ͈ࢹ଼௱൝ȄࣽࢃȄ̯ͣͅκΟσ͈ࣞഽ‫̦ا‬ຈါ̜́ͥḙ͈̏ष͉ͅȄ࡛ે͉́डఱ 50cm ೾ഽ͈౯࿂ͬခ̳ͥ΋ϋ·ςȜΠಔ͈գੀ৘
ࡑͅ‫̩̿ܖ‬؊ႁȡ̴͙͌ࢹ଼௱̦αȜΑ͂̈́̽̀ܿ੅‫ܖ‬੔̧̦̞̦͂͛ͣͦ̀̀ͥ͘Ȅ଱༹ 2̉‫ࢰ؍͈ݗޘ͈ݭ‬௵ેఠ͂؊ႁȡ̴͙͈͌ࢹ଼௱͈͂ାࣣ଻ͬࣉၪͅවͦ
̤̩̀ຈါ̦̜ͥȅ
4ȫ৊༷࢜ഘ޼͈஦଻‫ܖݗޘ͉ا‬໐̥ͣ 1.5mȪ‫ݗޘ‬ೄࠂ
͈ 83%ȫ́͘୆̲̤̀ͤȄਲြ͈஦଻Ϊϋΐಿ͈ࣉ̢༷
̥ͣࡉͥ͂Ȅ̞ࣞํս́͘஦଻‫̢ͥ࡞̞̱͂ͥ̀ا‬ȅ̹͘Ȅఝഘ޼͈ࣛ໖ฺ̠ͅ‫͈௵ࢰ؍‬൮఑̻̦୆̲̞̀ͥࣞ

92

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮༭࣬੥Ȅp.146.
[3.4.8]‫ॄ܊‬ຮຳȆၨ‫ؖ‬໲ຳȪ1980ȫ
ȇ౷๕͈൲എ་ࠁඅ଻
ͅ‫̳ͥ۾‬৘ࡑഎࡄ‫ݪ‬ȪIIȫȽࢩํս̴͙̈́͌ႀ֖
̤̫ͥͅग͈൲എ་ࠁඅ଻Ƚ.! ാ࿐ࡄ‫ݪ‬༭࣬Ȅ
No.153.
[3.4.9]ാ࿐ࡄ‫ݪ‬ਫ਼౷ૼཡब໐ૼ൲ࡄ‫ݪ‬৒Ȫ1979ȫȇ‫ؗ‬ୟු
ാ͈൲എ་ࠁඅ଻Ƚ̵ͭ౯࣠଻ၚ̴͈͙͌ջం଻
Ƚȅാ࿐ࡄ‫ݪ‬ਫ਼঩ၳȄNo.1504.
[3.4.10]඾ུ࠺ಃ‫ڠ‬ٛȪ1996ȫȇ౷๕ૼ൲Ƚ࡛ય͂ၑაȽȄ272-278.

εΑΠάȜ·ࢃ͈၎Ⴄ؊൞͈ထ௶ୈഽͬ๲࿬എࣞ͛ͥͅ
̧̭̦ٜ͂́ͥଢ଼਀༹͈‫ٳ‬อ̦‫ͥͦͣ͛ݥ‬ȅ৫ৃ!
৘ఱ२ষࡓૼ൲ర෫ٟ৘ࡑঔ୭ȪE-Defenseȫͬဥ̞̹‫ޘ‬ၴఛૼ৘ࡑࡄ‫͉ݪ‬Ȅཡब‫ݪࡄ੅ܿڠش‬ਫ਼ͅ୭౾̯ͦ̀
̞ͥ‫ޘ‬ၴఛૼ৘ࡑࡄ‫ݪ‬໦‫ش‬ٛȪտ֥ಿȇ‫ز‬ఆࢼგȄ߃‫ܪ‬૖ުෝႁ‫ٳ‬อఱ‫ࢷࢷڠ‬ಿȪ‫ނ‬സఱ‫ྴڠ‬န‫ޗ‬਎ȫȫȄ‫ޘ‬ၴఛૼ৘ࡑࡄ‫ݪ‬৘࣐໐ٛȪտ֥ಿȇ୼ോ֚຃Ȅ൐‫ުࢥނ‬ఱ‫ڠ‬‫ޗ‬਎ȫȄ৘࣐໐ٛͅ୭౾̯̞ٜͦ̀ͥଢ଼࠿൦ WGȄࠗ௶༹༷࠿൦ WGȄૺ࣐଻෫ٟ࠿൦ WG ͈տ֥͈‫ފ‬ႁͤ͢ͅଛ
࣐̯̞ͦ̀ͥḙ̭̏ͅȄտ֥‫ڎ‬պ͈̮༿ྴͬഞັ঩ၳͅࠇ̬Ȅ૬̩৫փͬນ̱̳͘ȅ[3.4.11]ໟུୃਏȆന௬ၦȪ2001ȫ
ȇ2 ষࡓခࡠါள༹͢ͅ
ͥ౷๕ȆࢶȆࢹ௮໤ࠏ͈౷ૼ؊൞ٜଢ଼̤̫ͥͅ౷
๕͈؈̧࣐༷ٜ࢜ଢ଼໙ͅ‫ࣉ̳֚ͥ۾‬ख़. ୄକ࠺୭ࡄ‫ݪ‬༭࣬, No.73Ȅ35-46.
[3.4.12]Ȫ২ȫ౷๕ࢥ‫ڠ‬ٛȪ2007ȫȇ౷๕͈൲എٜଢ଼Ƚ‫ܖ‬யၑა̥ͣ؊ဥ́͘ȽȄ87-88.
[3.4.13]඾ུ࠺ಃ‫ڠ‬ٛȪ2006ȫȇ࠺໤͂౷๕͈൲എ௖ࡽैဥ
ͬࣉၪ̱̹؊൞ٜଢ଼͂ఛૼ୭ࠗȄpp.109.
[3.5.1]໌൥ࣞ݅Ȫ1992ȫȇͺ·Ιν΀ȜΗ͈ߐ൲͂ଷࢄȄ!
΋υ΢২.
[3.5.2]઀෨ბ໲ႿȆୌ٬ࣉຳȪ1999ȫ
ȇ࿳գଷࢄΏΑΞθȄ൐‫ނ‬ഩ‫ܥ‬ఱ‫੄ڠ‬ๅޫ.
[3.5.3]‫֚૲֔ک‬჊Ȇհന୷ਝȆஜ୼ྶۘȆ؈നࢨ૽ȆࡔനࢣࢨȆ઀୼૝࣐Ȫ2003ȫȇ಼ఱ߿२ষࡓ౷ૼૼ
൲ర͈൲എΏηντȜΗ͈‫ٳ‬อȪদࡑఘ͈෫ٟ࡛
યͅ಍࿒̱̹ΏηντȜΗ͈࠿બȫ඾ུ‫ܥ‬٫‫ڠ‬ٛა໲ਬ)C ༎*Ȅ69-688.

४ࣉ໲ࡃ!
ల2ડ
[2.2.1]ാ࿐‫ڠ‬ٛȪ1996ȫȇि૰ȆౠႹఱૼब಺औ༭࣬੥! ാ࿐ࢹ௮໤͈๭‫ٺ‬.! ि૰ȆౠႹఱૼब಺औ༭࣬༎ਬ
տ֥ٛȄ21-40.
ల3ડ
[3.1.1]໶ࡩࡇධ໐౷ૼൽႹ‫ૼޘ‬बచॐտ֥ٛȪ1995ȫ
ȇ໶ࡩࡇධ໐౷ૼ̤̫ͥͅൽႹ‫͈ޘ‬๭बͅ‫಺̳ͥ۾‬औ༭࣬੥.
[3.1.2]ാ࿐‫ڠ‬ٛ΋ϋ·ςȜΠտ֥ٛȪ1967ȫȇ΋ϋ·ςȜΠ ດ੔া༷੥ٜ୰Ⱥ઎გ 42 ාๅȻ. ാ࿐‫ڠ‬ٛȄ
207-211.
[3.1.3]඾ུൽႹ‫ފ‬ٛ㧔2002ȫ
㧦ൽႹ‫ޘ‬া༷੥Ȇ൳ٜ୰ V ఛૼ୭ࠗ༎.
[3.1.4]඾ུൽႹ‫ފ‬ٛ㧔1997ȫ㧦‫ܡ‬୭ൽႹ‫͈ޘ‬ఛૼ༞‫۾ͅޑ‬̳ͥ४ࣉ঩ၳ㧘3-10.
[3.4.1]५ࡔࢼȪ1969ȫȇ౷ૼশ͈౷ૼ൲͂౷ૼ෨͈වႁఅ
৐Ȫల 1 ༭ȫȅ඾ུ࠺ಃ‫ڠ‬ٛࢹ௮ࠏა໲ਬȄNo.165Ȅ
61-66.

ల5ડ
[5.1] Neuenhofer, A. and F. C. FilippouȪ1997ȫ: "Evaluationof Nonlinear Frame Finite Element Models." Journalof Structural Engineering, ASCE, 123)7*: 958-966.
[5.2] Spacone, E., V. Ciampi, and F. C. FilippouȪ1996ȫ:"Mixed Formulation of Nonlinear Beam Finite[3.4.2]५ࡔࢼȪ1970ȇ౷ૼশ͈౷ૼ൲͂౷ૼ෨͈වႁఅ
৐Ȫల 2 ༭ȫ. ඾ུ࠺ಃ‫ڠ‬ٛࢹ௮ࠏა໲ਬȄ No.167Ȅ
25-30.

Element." Computers and Structures, 58)1*:71-83.
[5.3]Ȫ‫ڼ‬ȫͺȜ·ૂ༭ΏΑΞθȇTDAP III. ver2.13.

[3.4.3]୞֔ୄȆ५ࡔࢼȪ1982ȫȇఱ߿౷‫ئ‬Ηϋ·͈৘௶ܱ჏ͥ͢ͅ౷ૼ෨͈වႁఅ৐͈࠿൦. No.312Ȅ54-61.
[3.4.4]հ֔ોȆ࢛֔ൽဎȆ୤ઽ‫ݛ‬૯ȆႅࢫဉȆಎఆਰ
Ȫ1998ȫ
ȇ1995 ා໶ࡩࡇධ໐౷ૼ̤̫ͥͅ‫ܖ‬யခ࢘වႁ൲ͅ‫ࣉ̳ͥ۾‬ख़. ඾ུ࠺ಃ‫ڠ‬ٛࢹ௮ࠏა໲ਬȄ
No.512Ȅ111-118.
[3.4.5]ႅࢫဉȆ൥૩࠲ঃȆհ֔ોȆ࢛֔ൽဎȪ1999ȫ
ȇ1995ා໶ࡩࡇධ໐౷ૼ̤̫ͥͅ௖ࡽैဥ࢘‫࠺͂ض‬໤؊
൞. ඾ུ࠺ಃ‫ڠ‬ٛࢹ௮ࠏა໲ਬȄNo.520Ȅ45-51.
[3.4.6])़*ഘൽ௙ࣣࡄ‫ݪ‬ਫ਼Ȫ1996ȫȇJR ౷ૼૂ༭ No.23d
1995 ා໶ࡩࡇධ໐౷ૼ͈౷ૼ൲ܱ჏෨ࠁ͂໦ଢ଼
ȪIIȫ.! 105-107.
[3.4.7]໶ࡩࡇධ໐౷ૼൽႹ‫ૼޘ‬बచॐտ֥ٛȪ1995ȫ
ȇ໶ࡩࡇධ໐౷ૼ̤̫ͥͅൽႹ‫͈ޘ‬๭बͅ‫಺̳ͥ۾‬औ

[5.4] Silvia Mazzoni, Frank McKenna, Michael H. Scott,Gregory L. Fenves, et al.Ȫ2006ȫ: Open System for
Earthquake

Engineering

Simulation

User

Command-Language Manual, Pacific Earthquake
Engineering

Research

California,

Center,UniversityofBerkeley,

http://opensees.berkeley.edu/OpenSees/manuals/user
manual/index.html.
[5.5] Hoshikuma, J., Kawashima, K., Nagaya, K. ,andTaylor, A. W. Ȫ 1997 ȫ : Stress-strain model for
confined reinforced concrete in bridge piers, J. Struct.

93

防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004

8ȫKawashima, K., Ukon, H. , and Kajiwara, K. )2008*:
Seismic Performance of Bridge Columns based on
Full-scale Excitation Tests, WFEO-JFES-JSCE Joint

Engrg, ASCE, 123-5, 624-633.
[5.6] Sakai, J. and Kawashima, K. Ȫ2006ȫ: Unloading andreloading stress-strain model for confined concrete, J.

International Symposium on Disaster Risk ManagementȄ
44-50, Sendai, Japan.

Struct. Engrg., ASCE, 132-1, 112-122.

9* Kawashima, K., Ukon, H. , and Kajiwara, K. )2008*:[5.7] ी੓֚Ȇ୼ോ֚຃Ȫ2003ȫȇ໐໦എ̈́ੰ‫ك‬Ȇठश

E-Defense Experiment on the Seismic Performance of a
Bridge Column Built in 1970s, Proc. Fumio Watanabe
Symposium, 71-78, Disaster Prevention ResearchInstitute, Kyoto University, Kyoto, Japan.
10*ઐུଢ঎Ȇ୼ോ֚຃ȆMahin, S.A. Ȇֲ߃ఱൽȇ૦൲‫͚܄ͬك‬၎Ⴄͬນ̳ਘୃ Menegotto-Pinto κΟσ͈೹մ.! ാ࿐‫ڠ‬ٛა໲ਬȄNo.738/I-64, 159-169.
[5.8] ी੓֚Ȇ‫׋‬ષ࿆ਏȪ2007ȫȇέ͹ͼΨȜါளͬဥ̞̹‫ࠁ׫‬౯࿂ഘ޼΋ϋ·ςȜΠ‫ݗޘ‬࿅߿͈౷ૼ

ర‫ح‬૦৘ࡑͅ‫ͼ̩̿ܖ‬ϋΗȜυΛ΅ϋΈ৆‫͂ݗޘ‬ߍࠁ౯࿂‫͈ݗޘ‬ఛૼ଻ͅ‫ݪࡄ̳ͥ۾‬. ാ࿐‫ڠ‬ٛა໲؊൞ٜଢ଼ȅാ࿐ܿ੅঩ၳȄ49-1, 60-65.

ਬȪഴशࠨ೰ȫȅ
11*!Kawashima, K., Sasaki, T., Kajiwara, K., Ukon, H.,
Unjoh, S., Sakai, J., Takahashi, Y., Kosa, K., and Yabe,
M.: Seismic Performance of a Flexural Failure Type
Reinforced Concrete Column based on E-Defense
Excitation, Journal of Structural and Earthquake
Engineering, Invited Paper. Japan Society of Civil‫۾‬Ⴒอນა໲!
1*!Katayama, T. )2005* : Construction of E-Defense - alarge-sized 3-dimensional shake table, Proc. 1st
International Conference on Advances in Experimental
Structural Engineering, 29-38, Nagoya, Japan.
2*! Nakashima, M., Kawashima, K., Ukon, H. ,and Kajiwara,
K. )2008*: Shake table experimental project on theseismic performance of bridges using E-Defense, Proc.
14th World Conference on Earthquake Engineering,Engineers )submitted for Publication*.
12ȫी੓֚Ȇ‫׋‬ષ࿆ਏȆֲ߃ఱൽ)2007*ȇ໶ࡩࡇධ໐౷
ૼ̤̫ͥͅ RC ‫͈ݗޘ‬๭बठ࡛͈̹͈͛૦൲ర৘ࡑ.!
౷ૼࢥ‫ڠ‬ა໲ਬȄVol.29Ȅ934-942Ȅാ࿐‫ڠ‬ٛȄ൐‫ނ‬ȅ
13ȫी੓֚Ȇ‫׋‬ષ࿆ਏȆֲ߃ఱൽ)2008*ȇRC ‫͈ݗޘ‬૦൲ర৘ࡑ̤̫ͥͅ؊൞་պ͈ࠗ௶ୈഽ͈ບ‫ث‬. ࢹ௮ࢥ‫ڠ‬ა໲ਬȄ331-342ȄVol.54AȄാ࿐‫ڠ‬ٛȄ൐‫ނ‬ȅ
14ȫֲ߃ఱൽȆ‫֚ࢼࡔک‬Ȇ୼ോ֚຃Ȫ2007ȫȇE-Defenseͬဥ̞̹ఱ߿‫ޘ‬ၴ৘ࡑ̤̫ͥࠗͅ௶ْࠗ.! ల 10 ٝ౷ૼশ༗ခఛႁ༹ͅ‫ޘ̩̿ܖ‬ၴ͈ఛૼ୭ࠗͅ‫̳۾‬ͥΏϋεΐνȜθȄ 29-34Ȅാ࿐‫ڠ‬ٛȄ൐‫ނ‬ȅ
15ȫ‫֚ࢼࡔک‬Ȇֲ߃ఱൽȆ୼ോ֚຃Ȫ2007ȫȇE-Defenseͬဥ̞̹ఱ߿‫ޘ‬ၴ৘ࡑ͈࿒എ͂‫ٽ‬ါ.! ల 10 ٝ౷ૼশ༗ခఛႁ༹ͅ‫ޘ̩̿ܖ‬ၴ͈ఛૼ୭ࠗͅ‫̳ͥ۾‬ΏϋεΐνȜθȄ23-28Ȅാ࿐‫ڠ‬ٛȄ൐‫ނ‬ȅ
16ȫऎș࿐౺ఱȆߪനဉਏȆ୼ോ֚຃Ȇളᰦ‫ڠ‬༜Ȇֲ߃ఱൽȆ‫֚ࢼࡔک‬Ȫ2007ȫȇ৽ഘ޼౲၂̱໐ͬခ̳ͥ
RC ‫͈ݗޘ‬෫ٟκȜΡͅဓ̢ͥश‫ك‬౷ૼ൲අ଻͈‫ޣג‬.!
ల 10 ٝ౷ૼশ༗ခఛႁ༹ͅ‫ޘ̩̿ܖ‬ၴ͈ఛૼ୭ࠗͅ
‫̳ͥ۾‬ΏϋεΐνȜθȄ35-42Ȅാ࿐‫ڠ‬ٛȄ൐‫ނ‬ȅ
17ȫߪനဉਏȆऎș࿐౺ఱȆ୼ോ֚຃Ȇളᰦ‫ڠ‬༜Ȇֲ߃ఱൽȆ‫֚ࢼࡔک‬Ȫ2007ȫȇ৽ഘ޼౲၂̱͂ͬခ̳ͥ
RC ‫͈ݗޘ‬෫ٟඅ଻.! ల 10 ٝ౷ૼশ༗ခఛႁ༹ͅ
‫ޘ̩̿ܖ‬ၴ͈ ఛૼ୭ࠗͅ‫̳ͥ ۾‬Ώϋεΐ νȜθȄ43-50Ȅാ࿐‫ڠ‬ٛȄ൐‫ނ‬ȅ
18ȫֲ߃ఱൽȆ‫֚ࢼࡔک‬Ȇ୼ോ֚຃Ȫ2007ȫȇE-Defenseͬဥ̞̹ఱ߿‫ޘ‬ၴఛૼ৘ࡑْࠗ.! ౷ૼࢥ‫ڠ‬ა໲ਬȄ
Vol.29Ȅ1412-1419Ȅാ࿐‫ڠ‬ٛȄ൐‫ނ‬ȅ
19ȫ‫֚ࢼࡔک‬Ȇֲ߃ఱൽȆ୼ോ֚຃Ȫ2007ȫ
ȇ E-Defenseͬ‫ڰ‬ဥ̱̹ఱ߿‫ޘ‬ၴఛૼ৘ࡑْ͈ࠗ‫ٽ‬ါ.! ల 62 ٝාষ‫ٽ׵࣒੅ڠ‬ါȄ927-928Ȅാ࿐‫ڠ‬ٛȄ൐‫ނ‬ȅ
20ȫֲ߃ఱൽȆ‫֚ࢼࡔک‬Ȇ୼ോ֚຃Ȫ2007ȫ: E-Defense

S17-02-010)CD-ROM*, Beijing, China.
3*!Kawashima, K., Ukon, H. , and Kajiwara, K. )2008*:
E-Defense Experiment on the Seismic Performance of a
Bridge Column Built in 1970s, Proc. 14th World
ConferenceonEarthquake
Engineering,
S17-02-011)CD-ROM*, Beijing, China.
4*!Sakai, J., Unjoh, S. , and Ukon, H. )2008*: Earthquake
Simulation Tests of Bridge Column Models Damaged
During 1995 Kobe Earthquake, Proc. 14th World
ConferenceonEarthquake
Engineering,
S17-02-010(CD-ROM), Beijing, China.
5*!Kawashima, K., Ukon, H. ,and Kajiwara, K. )2006*:
Large-scale Shake Table Tests of Bridges Using
E-Defense Ȅ Proc. Fourth International Workshop on
Seismic Design and Retrofit of Transportation Facilities,
Paper No.02)CD-ROM*, MCEER 06-SP03, MCEER,
State University of New York, Buffalo, NY, USA.
6*!Kawashima, K., Ukon, H. ,and Kajiwara, K. )2007*:
Bridge Seismic Response Experiment Program Using
E-DefenseȄProc. 39th UJNR Joint Meeting, U.S.-Japan
Panel on Wind and Seismic Effects, 57-66, Tsukuba,
Japan.
7*!Kawashima, K., Sasaki, T., Kajiwara, K., Ukon, H.,
Unjoh, S., Sakai, J., Kosa, K., Takahashi, Y. , and Yabe,Y. )2008*: Seismic Performance of Flexural Failure
Type RC Bridge Column based on E-Defense ExcitationȄ
Proc. 40th UJNR Joint Meeting, U.S.-Japan Panel on
Wind and Seismic Effects UJNR, Gaithersburg, MD,
USA.

94

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかა໲ΗͼΠσȜಠ৪ྴͬ‫ڰ‬ဥ̱̹‫ޘ‬ၴఛૼ৘ࡑࡄ‫ ݪ‬C1-1 ৘ࡑ༭࣬. ల 63ٝාষ‫ٽ׵࣒੅ڠ‬ါȄ151-152Ȅാ࿐‫ڠ‬ٛȄ൐‫ނ‬ȅ
23ȫ‫ז‬ന୉ඵȆֲ߃ఱൽȆ߄ᚧ࠲ংȆ࿦‫ـ‬ਘ֚Ȇ‫ࢼࡔک‬֚Ȫ2008ȫȇRC ‫͈ݗޘ‬૦൲ర৘ࡑ̤̫ͥͅ؊൞་պ
͈ࠗ௶ୈഽ͈ບ‫ث‬. ల 63 ٝාষ‫ٽ׵࣒੅ڠ‬ါȄ
629-630Ȅാ࿐‫ڠ‬ٛȄ൐‫ނ‬ȅȪࡔࣂ਋ၑȇ2008 ා 12 ࠮ 12 ඾ȫͬ‫ڰ‬ဥ̱̹‫ޘ‬ၴ΋ϋεȜΥϋΠ৘ࡑْࠗ.! ల 62 ٝාষ‫ٽ׵࣒੅ڠ‬ါȄ929-930Ȅാ࿐‫ڠ‬ٛȄ൐‫ނ‬ȅ21) ઐུଢ঎Ȇളᰦ‫ڠ‬༜Ȇ‫ז‬ന୉ඵȆ୼ോ֚຃Ȇֲ߃ఱൽȪ2007ȫ: ߍࠁ౯࿂‫ͼ͂ݗޘ‬ϋΗȜυΛ΅ϋΈ৆‫͈ݗޘ‬ఛૼ଻ͅ‫ݪࡄ̳ͥ۾‬. ల 62 ٝාষ‫׵࣒੅ڠ‬‫ٽ‬ါȄ939-940Ȅാ࿐‫ڠ‬ٛȄ൐‫ނ‬ȅ22ȫֲ߃ఱൽȆ‫֚ࢼࡔک‬Ȇ୼ോ֚຃Ȫ2008ȫȇE-Defense95ა໲ΗͼΠσȜಠ৪ྴ
防災科学技術研究所研究資料 第 331号

2009 年 1 月

!
ါ! ক!

!
! E-Defense ͬ‫ڰ‬ဥ̱̹‫ޘ‬ၴఛૼ৘ࡑࡄ‫̱̀͂ݪ‬Ȅ2005ȡ2006 ාഽ͉ͅ৘ࡑْࠗͬै଼̳ͥ͂൳শͅȄমஜٜଢ଼‫͍ݞ‬মஜ৘ࡑͬ৘ঔ̱Ȅ2007 ාഽͅ C1-1 ࿅߿Ȫ1970 ාయͅ࠺୭̯̹ͦެ̬෫ٟΗͼί͈ RC ‫ݗޘ‬ȫͅచ̳ͥ E-Defense ૼ൲ర৘ࡑͬ৘ঔ̱̹ȅC1-1 ৘ࡑͅဥ̞̹͈͉Ȅೄࠂ 1.8mȄ̯ࣞ 7.5m ͈‫׫‬ಔ‫ߏݗޘ‬ఘͬ໙ 7mȿ؈̧࣐ 7 mȿ̯ࣞ 1.8 m ͈έȜΙϋΈ́঑঵̱̹Ȅ͕͖৘໤ఱ͈‫ރ‬দఘ̜́ͤȄ1970 ාయͅ࠺୭̯̹ͦެ̬෫̵ٟ̦ͭ౯෫ٟͅ୶࣐̳ͥ RC ‫ݗޘ‬ͬκΟσ‫̜͈̹̱ͥ́͜ا‬ȅE-Defense ͬဥ̞̭͉̲ͥ͂̽̀͛̀͢ͅ‫خ‬ෝ̹͂̈́̽‫ͅݗޘ‬చ̳ͥଲ‫ٮ‬डఱ͈ૼ൲ర‫ૼح‬৘ࡑ̜́ͥȅ1995 ໶ࡩࡇධ໐౷ૼ̶́̈́ಠ̱̞෫ٟͬ୆̲̹̥ͬྶ̥̳ͣͥ͂͂͜ͅͅȄ࿅߿͈଱༹࢘‫࠿ͬض‬൦̳̭ͥ͂ͬ࿒എ̱͂̀৘ࡑ̱̹͈̜́ͥ͜ȅૼ൲ర৘ࡑ͉́Ȅ1995 ා໶ࡩࡇධ໐౷ૼ͈षͅ JR వ৾‫́פ‬۷௶̯̹ͦ౷ૼܱ჏ͅ൲എ௖ࡽैဥͬࣉၪ̱̀
૦໙ਘୃ̱̹౷ૼ൲ͬවႁ౷ૼ൲̱͂̀ဥ̞̹ȅ1 ٝ࿒͈‫ح‬૦͉́দࡑఘ‫ܖ‬໐͉ͅެ̬෫ٟͥ͢ͅఅੱ̦อ୆
̱̹ȅ2 ٝ࿒͈‫ح‬૦͉̯́ͣͅ෫ٟ̦ૺ࣐̱Ȅఝഘ޼͈ਹ͇ࠑ਀̴̦͉ͦȄۖ஠ͅ΋ͺ΋ϋ·ςȜΠͅచ̳ͥࢰ௵࢘‫ͬض‬৐̹ͩͦḙ͉̏ͦȄ1995 ා͈໶ࡩࡇධ໐౷ૼ͈́๭‫ͬٺ‬ठ࡛̳ͥࠫ‫̹̽̈́͂ض‬ȅུ༭͉࣬ C1-1 ৘ࡑ͈ 1 ষٜଢ଼ࠫ‫ͬض‬༭̳͈̜࣬ͥ́ͤ͜ȄࣽࢃȄ෫ٟ͈ૺജ͞଱༹࢘‫̱̀۾ͅض‬Ȅ̯ͣͅમळͅ࠿൦ͬૺ͛ͥထ೰̜́ͥȅ!
΅ȜχȜΡ̟‫ޘ‬ၴȄ౷ૼȄఛૼ୭ࠗȄఛૼ༞‫ޑ‬ȄE-DefenseȄૼ൲ర৘ࡑȹ

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96

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల 66 ࣢! 2004 ා 9 ࠮

Ƀഞັ 1Ʉ! ‫ޘ‬ၴఛૼ৘ࡑࡄ‫ݪ‬໦‫ش‬ٛտ֥
տ֥ಿ! ! ! ‫ز‬ఆ! ࢼგ! ! ߃‫ܪ‬૖ުෝႁ‫ٳ‬อఱ‫ࢷ !ࢷڠ‬ಿȪ‫ނ‬സఱ‫ྴڠ‬န‫ޗ‬਎ȫ
ۚমಿ! ! ! ୼ോ! ֚຃! ! ൐‫ުࢥނ‬ఱ‫ڠ‬ఱ‫֭ڠ‬ၑࢥ‫شݪࡄڠ‬ാ࿐ࢥ‫ޗ !ࢲ୺ڠ‬਎
տ! ֥! ! ! ಿ౓୼! გຳ! ਉസࣞ௸ൽႹȪ‫ڼ‬ȫ! ༗஠Ȇ࢐೒໐ಿ
ȗ! ! ! ! ঌ୼! ඈং! ! Ȫ़ȫഘൽ௙ࣣܿ੅ࡄ‫ݪ‬ਫ਼! ࢹ௮໤ܿ੅ࡄ‫ݪ‬໐ಿ
ȗ! ! ! ! ֳऎ๼! ༓! ! ྴઽఱ‫ڠ‬ၑࢥ‫ڠ‬໐࠺ಃΏΑΞθࢥ‫ޗ !شڠ‬਎
ȗ! ! ! ! ఱ೓! ‫ݛ‬ഓ! ! ߇ਗఱ‫ڠ‬ఱ‫࠺֭ݪࡄڠࢥ֭ڠ‬୭ΟΎͼϋ໐࿝! ‫ޗ‬਎
ȗ! ! ! ! ऎ൥! ઍ঎! ! ࣭ാ࢐೒જཤ٬ൽ‫ٳ‬อޫ! ৒၊‫ٳ‬อ࠺୭໐ಿ
ȗ! ! ! ! ന௬! ၦ! ! ! ୄକ࠺୭ܿ੅ࡄ‫ݪ‬ਫ਼! ਫ਼ಿ༞ऎȗ! ! ! ! ಅന! ഓຳ! ! ςΞΛ·΀ϋΐΣͺςϋΈȪ‫ڼ‬ȫ! ৾೿࿨
ȗ! ! ! ! ಎോ! ୃՔ! ! ཡब‫ݪࡄ੅ܿڠش‬ਫ਼໶ࡩఛૼࢥ‫ݪࡄڠ‬ΓϋΗȜਫ਼ಿ
ȗ! ! ! ! ႅ୼! ੇ჊! ! ཤ٬ൽఱ‫ڠ‬ఱ‫ޏ۪شݪࡄڠࢥ֭ڠ‬஻୆ࢥ‫ޗ !ࢲ୺ڠ‬਎
ȗ! ! ! ! ཱ! ! ਕႿ! ! ൐‫ނ‬ఱ‫ڠ‬౷ૼࡄ‫ݪ‬ਫ਼! ‫ޗ‬਎տ֥࠳ۚম! ಞߧ! ࢫຳ! ! ಎ඾ུࣞ௸ൽႹȪ‫ڼ‬ȫْܑུ໐! ܿ੅‫ٳ‬อ໐ಿ! ȗ! ! ! ! ‫׋‬ષ! ࿆ਏ! ! Ȫඊȫാ࿐ࡄ‫ݪ‬ਫ਼ࢹ௮໤ιϋΞ΢ϋΑࡄ‫ݪ‬ΓϋΗȜ! ષ୘ࡄ‫֥ݪ‬! ȗ! ! ! ! ࢨऒ! ࡋඵ! ! ߇ਗࢥުఱ‫ڠࢥڠ‬໐࠺୭২ٛࢥ‫ޗ !شڠ‬਎! ȗ! ! ! ! ࢃ൥! გྖ! ! Ȫ‫ڼ‬ȫ࠺୭ܿ੅ࡄ‫ݪ‬ਫ਼൐‫ུނ‬২ࢹ௮໐! ܿ঍ಿ! ȗ! ! ! ! ಿઔ! ຮ຃! ! ि૰ࣞ௸ൽႹȪ‫ڼ‬ȫૂ༭ΏΑΞθ໐! ໐ಿ! ȗ! ! ! ! ࿦໐! ୃྶ! ! Ȫ‫ڼ‬ȫಿఱࢹ௮মުུ໐ఛૼܿ੅໐! ໐ಿಕȫտ֥ྴ༧͉Ȃ໹଼ 20 ා 4 ࠮ 1 ඾শത97

防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004Ƀഞັ 2Ʉ! ‫ޘ‬ၴఛૼ৘ࡑࡄ‫ݪ‬৘࣐໐ٛտ֥
տ֥ಿ! ! ! ୼ോ! ֚຃! ! ൐‫ުࢥނ‬ఱ‫ڠ‬ఱ‫֭ڠ‬ၑࢥ‫شݪࡄڠ‬ാ࿐ࢥ‫ޗ !ࢲ୺ڠ‬਎
տ! ֥! ! ! չೋ࿤! გ࣐! ၛྵ‫܁‬ఱ‫ڠ‬ၑࢥ‫ڠ‬໐സঌΏΑΞθࢥ‫ޗ !شڠ‬਎ȪH18.12.20ȡȫ
ȗ! ! ! ! ಞߧ! ࢫຳ! ! ಎ඾ུࣞ௸ൽႹȪ‫ڼ‬ȫْܑུ໐! ܿ੅‫ٳ‬อ໐ಿ! ȗ! ! ! ! ‫׋‬ષ! ࿆ਏ! ! Ȫඊȫാ࿐ࡄ‫ݪ‬ਫ਼ࢹ௮໤ιϋΞ΢ϋΑࡄ‫ݪ‬ΓϋΗȜ! ષ୘ࡄ‫֥ݪ‬! ȗ! ! ! ! ఱ࿻! ࠉ२! ! Ȫ़ȫഩႁಎ؇ࡄ‫ݪ‬ਫ਼౷‫ݪࡄڠࢥݩ‬ਫ਼! ႀ֖ςȜΘȜȆષ୘ࡄ‫֥ݪ‬ȪH18.10.23ȡȫ
! ȗ! ! ! ! ‫ؖ‬࿤! ள෗! ! Ȫ‫ڼ‬ȫఱႅழܿ੅ࡄ‫ݪ‬ਫ਼ࢹ௮ܿ੅ࡄ‫ݪ‬໐! ৽හࡄ‫֥ݪ‬ȪH18.7.26ȡȫ
! ȗ! ! ! ! ఱశ! ࠲! ! ! Ȫ‫ڼ‬ȫ·τͺΞΛ·! ܿ੅໐ಿ! ȗ! ! ! ! ‫ڳ‬ୌ! ઎! ! ! ྴࡣ‫ؚ‬ఱ‫ڠ‬ఱ‫شݪࡄڠࢥ֭ڠ‬২ٛ‫ܖ‬๕ࢥ‫࣒ !ࢲ୺ڠ‬঍
ȗ! ! ! ! ࢨऒ! ࡋඵ! ! ߇ਗࢥުఱ‫ڠࢥڠ‬໐࠺୭২ٛࢥ‫ޗ !شڠ‬਎! ȗ! ! ! ! ࢃ൥! გྖ! ! Ȫ‫ڼ‬ȫ࠺୭ܿ੅ࡄ‫ݪ‬ਫ਼! ൐‫ུނ‬২ࢹ௮໐! ܿ঍ಿ! ȗ! ! ! ! ઀ႅ! ߰! ! ! JR ൐඾ུࡄ‫ٳݪ‬อΓϋΗȜέυϋΞͺ΍ȜΫΑࡄ‫ݪ‬ਫ਼! ‫ه‬ಿȪH19.4.1ȡȫ
! ȗ! ! ! ! ी! ! ੓֚! ! Ȫඊȫാ࿐ࡄ‫ݪ‬ਫ਼ࢹ௮໤ιϋΞ΢ϋΑࡄ‫ݪ‬ΓϋΗȜ! ࡄ‫֥ݪ‬! ȗ! ! ! ! ࣞ‫ !ޘ‬ၻგ! ! ‫ނ‬സఱ‫ڠ‬ཡबࡄ‫ݪ‬ਫ਼! ੎‫ޗ‬਎! ȗ! ! ! ! శུ! გ঎! ! ୄକ࠺୭Ȫ‫ڼ‬ȫܿ੅ࡄ‫ݪ‬ਫ਼հ஠հ૤ܿ੅ΓϋΗȜ! ৽හࡄ‫֥ݪ‬! ȗ! ! ! ! ‫ז‬ന! გ਍! ! ྴࡣ‫ުࢥؚ‬ఱ‫ڠ‬ఱ‫֭ڠ‬২ٛࢥ‫ !ࢲ୺ڠ‬੎‫ޗ‬ȪH18.10.23ȡȫ
ȗ! ! ! ! ಿઔ! ຮ຃! ! ि૰ࣞ௸ൽႹȪ‫ڼ‬ȫૂ༭ΏΑΞθ໐! ໐ಿ
ȗ! ! ! ! ୌ! ࢬྶ! ! ! Ȫඊȫാ࿐ࡄ‫ݪ‬ਫ਼‫ێ‬౷ാ࿐ࡄ‫ݪ‬ਫ਼! ௙‫৽گ‬හࡄ‫֥ݪ‬ȪH18.11.30ȡȫ
ȗ! ! ! ! ୌ‫ !ؖ‬༓! ! ! ि૰ࣞ௸ൽႹȪ‫ڼ‬ȫܿ੅໐ܿ੅‫ٳ‬อΈσȜί! ͺΏΑΗϋΠζΥȜΐλȪH18.12.23
ȡȫȗ! ! ! ! ཱ! ! ਕႿ! ! ൐‫ނ‬ఱ‫ڠ‬౷ૼࡄ‫ݪ‬ਫ਼! ‫ޗ‬਎ȪH19.4.1ȡȫ
ȗ! ! ! ! ஜ୼! ࢤ֚! ! ൐‫ނ‬ఱ‫ڠ‬ఱ‫شݪࡄࠏڠࢥ֭ڠ‬২ٛ‫ܖ‬๕ࢥ‫ޗ !ࢲ୺ڠ‬਎ȪH19.4.1ȡȫ
! ȗ! ! ! ! ࿦໐! ୃྶ! ! Ȫ‫ڼ‬ȫಿఱࢹ௮মުུ໐ఛૼܿ੅໐! ໐ಿ! ȗ! ! ! ! ५࿤༏! ૥֚! ৅ോ࠺୭Ȫ‫ڼ‬ȫܿ੅ࡄ‫ݪ‬ਫ਼ാ࿐ࢹ௮ȆऺၳΈσȜί! ષ୘ࡄ‫֥ݪ‬ȪH18.6.29ȡȫ
! ȗ! ! ! ! ‫݌‬ന! ੗ং! ! ५ၐఱ‫ڠࢥڠ‬໐ാ࿐۪‫ !شڠࢥޏ‬੎‫ޗ‬਎! ȗ! ! ! ! ളᰦ! ‫ڠ‬༜! ! ൐‫ުࢥނ‬ఱ‫ڠ‬ఱ‫֭ڠ‬ၑࢥ‫شݪࡄڠ‬ാ࿐ࢥ‫ !ࢲ୺ڠ‬੩‫ޗ‬ȪȡH19.12.14ȫ
! ȗ! ! ! ! ཫࢡ! ࢤঃ! ! ॅޮఱ‫ڠ‬ఱ‫֭ڠ‬ၑࢥ‫ڠࢥشݪࡄڠ‬໐࠺୭ࢥ‫ޗ !شڠ‬਎ȪH20.4.1ȡȫ
! ȗ! ! ! ! ઐॄ! ဉ! ! ! ൐‫ުࢥނ‬ఱ‫ڠ‬ఱ‫֭ڠ‬ၑࢥ‫شݪࡄڠ‬ാ࿐ࢥ‫ !ࢲ୺ڠ‬੩‫ޗ‬ȪH20.4.1ȡȫ
! ȗ! ! ! ! ‫ ! !֚ࢼ !ࡔک‬Ȫඊȫཡब‫ݪࡄ੅ܿڠش‬ਫ਼໶ࡩఛૼࢥ‫ݪࡄڠ‬ΓϋΗȜ! ίυΐͿ·ΠςȜΘȜȆ৽හࡄ‫֥ݪ‬! ȗ! ! ! ! ֲ߃! ఱൽ! ! Ȫඊȫཡब‫ݪࡄ੅ܿڠش‬ਫ਼໶ࡩఛૼࢥ‫ݪࡄڠ‬ΓϋΗȜ! ઉᥝࡄ‫֥ݪ‬΂ήΎȜΨȜಎ‫ ! ! !ࢣ !׆‬Ȫ‫ڼ‬ȫಿఱࢹ௮মުུ໐൐඾ུমު໐ࢹ௮ْࠗ 1 ໐! ୺࿝ܿ঍! ȗ! ! ! ! ५ಎ! ૯ࡨ! ! ! ! ! ! ! ȗ! ȗ! ! ! ! ૩‫ࢫ !׬‬෗! ! Ȫ‫ڼ‬ȫಿఱࢹ௮মުུ໐࣭षܿ੅໐! ୺࿝ܿ঍! ȗ! ! ! ! ૧ೋ! ࿭! ! ! ൐‫ނ‬ഩ‫ܥ‬ఱ‫ૂڠ‬༭۪‫ڠޏ‬໐! ‫ޗ‬਎
! ȗ! ! ! ! ࡣ‫ !ؚ‬হ! ! ! ൐‫ނ‬സၛॲުܿ੅ࣞ൝୺࿝‫ !ࢷڠ‬੎‫ޗ‬਎! ȗ! ! ! ! ‫ז‬ന! ୉ඵ! ! Ȫ़ȫഩႁಎ؇ࡄ‫ݪ‬ਫ਼౷‫ݪࡄڠࢥݩ‬ਫ਼౷ૼࢥ‫ڠ‬ႀ֖! ࡄ‫֥ݪ‬! ! ಕȫտ֥ྴ༧͉Ȃ໹଼ 20 ා 4 ࠮ 1 ඾শത98

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかა໲ΗͼΠσȜಠ৪ྴɃഞັ 3Ʉ! ‫ޘ‬ၴఛૼ৘ࡑࡄ‫ݪ‬৘࣐໐ٛχȜ΅ϋΈտ֥ٛ!
ٜଢ଼࠿൦ WG տ֥৽! औ! ! ! ‫׋‬ષ! ࿆ਏ! Ȫඊȫാ࿐ࡄ‫ݪ‬ਫ਼ࢹ௮໤ιϋΞ΢ϋΑࡄ‫ݪ‬ΓϋΗȜ! ષ୘ࡄ‫֥ݪ‬! ȗ! ! ! ! ୒࡫! ‫໌ ! !ܳڐ‬௬ࢥުఱ‫ڠ‬ఱ‫֥ݪࡄ֥ݖ !شݪࡄڠࢥ֭ڠ‬ȗ! ! ! ! ঌఆ! ‫ ! ! !ޑ‬൐‫ުࢥނ‬ఱ‫ڠ‬ၑࢥ‫شݪࡄڠ‬ാ࿐ࢥ‫ !ࢲ୺ڠ‬੎‫ޗ‬਎
ȗ! ! ! ! ֲ߃! ఱൽ! Ȫඊȫཡब‫ݪࡄ੅ܿڠش‬ਫ਼໶ࡩఛૼࢥ‫ݪࡄڠ‬ΓϋΗȜ! ઉᥝࡄ‫֥ݪ‬! ȗ! ! ! ! ఱశ! ࠲! ! Ȫ‫ڼ‬ȫ·τͺΞΛ·! ܿ੅໐ಿȗ! ! ! ! ‫ ! !܅‬ඃ࢕! ! ৒၊ࢥުఱ‫ڠࢥڠ‬໐࠺୭ΏΑΞθࢥ‫ޗ !شڠ‬਎
ȗ! ! ! ! ‫ݛ‬༗! ྶ‫ !ם‬Ȫ‫ڼ‬ȫέ΁Ȝρθ΀ͼΠܿ੅΍εȜΠΈσȜί
ȗ! ! ! ! ࢨऒ! ࡋඵ! ! ߇ਗࢥުఱ‫ڠࢥڠ‬໐࠺୭২ٛࢥ‫ޗ !شڠ‬਎
ȗ! ! ! ! ी! ! ੓֚! Ȫඊȫാ࿐ࡄ‫ݪ‬ਫ਼ࢹ௮໤ιϋΞ΢ϋΑࡄ‫ݪ‬ΓϋΗȜ! ࡄ‫֥ݪ‬
ȗ! ! ! ! ऎ൥! ౶ྶ! ! ˦˥ˬΞ·Φ΍ͼ΀ϋΑȪ‫ڼ‬ȫΏΑΞθܿ੅ࡄ‫ݪ‬ਫ਼
ȗ! ! ! ! നಎ! ࢼ֚! Ȫ‫ڼ‬ȫఱႅழܿ੅ࡄ‫ݪ‬ਫ਼ࢹ௮ܿ੅ࡄ‫ݪ‬໐! ໗৽औ
ȗ! ! ! ! ႅ! ! ࠑ‫୼ ! !آ‬നΞ·ΦΏΑΞθ‫ڼ‬৆ٛ২
ȗ! ! ! ! ൥ന! ၮ֚! ! ඾ུܿ੅‫ٳ‬อȪ‫ڼ‬ȫς΍ȜΙȆ΀ϋΐΣͺςϋΈমު໐
ȗ! ! ! ! ൥࿤! ྶ݅! Ȫ‫ڼ‬ȫ‫ૂ੅ܿع؍‬༭ٜଢ଼΀ϋΐΣͺςϋΈ໐ܿ੅ΈσȜί
ȗ! ! ! ! ཪ! ! ਜ຃! ! ີআ೒µÍ¦²³¦Ìà±‫ڼ‬৆ٛ২! ‫੅ܿڠش‬ΏΑΞθ໐
ȗ! ! ! ! ઐന! ణহ! ! ߧུఱ‫ڠ‬
ȗ! ! ! ! ઐന! ࢤ! ! ! ˦˥ˬΞ·Φ΍ͼ΀ϋΑȪ‫ڼ‬ȫ൐‫ނ‬Ξ·ΦΓϋΗ‫ޘ‬ၴܿ੅໐
ȗ! ! ! ! ઐ५! ဢ૽! Ȫ‫ڼ‬ȫέ΁Ȝρθ΀ͼΠ! ఱि঑২‫ުא‬ΈσȜί
ȗ! ! ! ! ส࿐! გ࿟! Ȫ‫ڼ‬ȫ‫ૂ੅ܿع؍‬༭ٜଢ଼΀ϋΐΣͺςϋΈ໐ܿ੅ΈσȜίࠗ௶༹༷࠿൦ WG տ֥!
৽! औ! ! ! ࣞ‫ !ޘ‬ၻგ! ! ‫ނ‬സఱ‫ڠ‬ཡबࡄ‫ݪ‬ਫ਼! ੎‫ޗ‬਎ȪH20.4.1 ͤ͢৽औȫ
տ! ֥! ! ! ֲ߃! ఱൽ! Ȫඊȫཡब‫ݪࡄ੅ܿڠش‬ਫ਼໶ࡩఛૼࢥ‫ݪࡄڠ‬ΓϋΗȜ! ઉᥝࡄ‫֥ݪ‬ȪȡH20.3.31
́͘৽औȫ! ȗ! ! ! ! ‫ؖ‬࿤! ள෗! Ȫ‫ڼ‬ȫఱႅழܿ੅ࡄ‫ݪ‬ਫ਼ാ࿐ࢹ௮ࡄ‫ݪ‬৒ࢹ௮଻ෝΈσȜίಿ! ȗ! ! ! ! ఱశ! ࠲! ! Ȫ‫ڼ‬ȫ·τͺΞΛ·! ܿ੅໐ಿ! ȗ! ! ! ! ఱశ! ଽฎ! ! Ξ·Σ΃σςϋ·Ȫ‫ڼ‬ȫ! యນ৾೿࿨
ȗ! ! ! ! ी! ! ੓֚! Ȫඊȫാ࿐ࡄ‫ݪ‬ਫ਼ࢹ௮໤ιϋΞ΢ϋΑࡄ‫ݪ‬ΓϋΗȜ! ࡄ‫֥ݪ‬! ȗ! ! ! ! శུ! გ঎! ! ୄକ࠺୭Ȫ‫ڼ‬ȫܿ੅ࡄ‫ݪ‬ਫ਼հ஠հ૤ܿ੅ΓϋΗȜ! ৽හࡄ‫֥ݪ‬
ȗ! ! ! ! ५࿤༏! ૥֚! ৅ോ࠺୭Ȫ‫ڼ‬ȫܿ੅ࡄ‫ݪ‬ਫ਼ാ࿐ࢹ௮ȆऺၳΈσȜί! ષ୘ࡄ‫֥ݪ‬! ȗ! ! ! ! ‫݌‬ന! ੗ং! ! ५ၐఱ‫ڠࢥڠ‬໐ാ࿐۪‫ !شڠࢥޏ‬੎‫ޗ‬਎! ȗ! ! ! ! ളᰦ! ‫ڠ‬༜! Ȫ‫ڼ‬ȫಿఱ! ࢹ௮মުུ໐! ఛૼܿ੅໐

99

防災科学技術研究所研究資料2009 ා
年 91 ࠮
月
ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! 第ల 331号
66 ࣢! 2004ૺ࣐଻෫ٟ࠿൦ WG տ֥৽! औ! ! ! ࿦໐! ୃྶ! Ȫ‫ڼ‬ȫಿఱࢹ௮মުུ໐ఛૼܿ੅໐! ໐ಿ
ȗ! ! ! ! ֳ࿤! ဉࠃ! ! ΂ͼτΑࢥުȪ‫ڼ‬ȫల२মު໐྾ଷૼܿ੅໐! ໐ಿ
ȗ! ! ! ! ֹ࿤! ೽ঃ! ! ୼࢛߄௺ࢥު‫ڼ‬৆ٛ২ܿ੅ུ໐ܿ੅ 1 ໐! ໐ಿయၑȗ! ! ! ! ઀࿤! ࠩ! ! ! ൐‫ުࢥނ‬ఱ‫ڠ‬ఱ‫֭ڠ‬ၑࢥ‫شݪࡄڠ‬ാ࿐ࢥ‫ !ࢲ୺ڠ‬੎‫ޗ‬਎
ȗ! ! ! ! ‫ݛ‬঴! ࿆ਏ! ! ൐‫ނ‬έ͹ήςΛ·ࢥުȪ‫ڼ‬ȫུഝ‫ުא‬໐! ܿ੅৽හȗ! ! ! ! ी! ! ੓֚! Ȫඊȫാ࿐ࡄ‫ݪ‬ਫ਼ఛૼࡄ‫ݪ‬ΈσȜί! ৽හࡄ‫֥ݪ‬
ȗ! ! ! ! ऎ൥! ဎၮ! Ȫ़ȫഩႁಎ؇ࡄ‫ݪ‬ਫ਼ࢹ௮ࢥ‫ڠ‬ႀ֖! ࡄ‫֥ݪ‬
ȗ! ! ! ! ࣞ‫ !ޘ‬ၻგ! ! ‫ނ‬സఱ‫ڠ‬ཡबࡄ‫ݪ‬ਫ਼੎‫ޗ‬਎
ȗ! ! ! ! നಎ! ࠲ং! Ȫ‫ڼ‬ȫΫȜΫȜ΀θܿ੅ུ໐! ໗ུ໐ಿȗ! ! ! ! ‫ז‬ന! გ਍! ! ྴࡣ‫ުࢥؚ‬ఱ‫ڠ‬ఱ‫֭ڠ‬২ٛࢥ‫ !ࢲ୺ڠ‬੎‫ޗ‬਎
ȗ! ! ! ! ୌ‫ !ؖ‬༓! ! ! ि૰ࣞ௸ൽႹȪ‫ڼ‬ȫܿ੅໐! ܿ੅‫ٳ‬อΈσȜί! ͺΏΑΗϋΠζΥȜΐλ
ȗ! ! ! ! ୌఆ! ܲྶ! Ȫ‫ڼ‬ȫήςΚΑΠϋ྾ૼ‫ٳ‬อ໐! ‫ه‬ಿ
ȗ! ! ! ! ‫݌‬ന! ੗ং! ! ५ၐఱ‫ڠࢥڠ‬໐ാ࿐۪‫ !شڠࢥޏ‬੎‫ޗ‬਎
ȗ! ! ! ! ૩‫ ! !֚࠲ !ئ‬૰ࣙࣙ஌ࢥުȪ‫ڼ‬ȫබॄমުਫ਼ܿ੅໐! ‫ه‬ಿ
ȗ! ! ! ! ౓ಎ! ௛‫ !ݛ‬Ȫ‫ڼ‬ȫ‫ع؍‬ήςΛΐܿ੅ུ໐ܿ੅ࡄ‫ݪ‬ਫ਼! ‫ه‬ಿ
ȗ! ! ! ! ള༏! ࢚૧඾ഘ΀ϋΐΣͺςϋΈȪ‫ڼ‬ȫܿ੅ུ໐ܿ੅‫ٳ‬อࡄ‫ݪ‬ਫ਼࠺୭Ȇࣙࢹ௮ܿ੅৒
! ! ! ȪȡH19.10.31ȫ
ȗ! ! ! ! ஜന! ణঃ! ! ૧඾ഘ΀ϋΐΣͺςϋΈȪ‫ڼ‬ȫ࠺ಃȆࣙࢹ௮মު໐࠺ಃഘࢹξΣΛΠ྾ଷૼΟΨͼΑζΥΐλȜȪH19.11.1ȡȫಕȫտ֥ྴ༧͉Ȃ໹଼ 20 ා 4 ࠮ 1 ඾শത100

E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほかཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬!
ల ࣢! 2008 ා ࠮Ƀഞັ 4Ʉ৘ࡑ௡౾ȄRC ‫ݗޘ‬࿅߿అੱৢ૯൝΃ρȜ଎ๅ!

ৢ૯ 2.1.1 ! C1-1 ৘ࡑ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ଎ 2.1.1! ! ‫ޘ‬ၴΏΑΞθ৘ࡑ!
Photo 2.1.1!!!C1 Component experiments! ! ! ! ! ! ! ! ! ! ! ! ! Fig.2.1.1!C2 System experiments!
ȪSingle columnȫ
.! ! ! ! ! ! ! ! ! ! ! ! !

! ! ! (Progressive collapse).

!

Initial yielding flexural strength
Ultimate flexural strength
6

4.85m

5
4
3
2

0.95m

1

0m

0

(1) Arrangement ofreinforcement

4.85

5 4.85Height (m)Height (m)6mDesign shear force (cc=1.0)
Design shear force (cc=0.8)
cc : Modification factor on the effectsof alternating cyclic loading
6

0.95
0

2000 4000 6000 8000
Force (kN)
(2) Longitudinal

43
2
1 0.95001000 2000 3000 4000
Force (kN)(3) Transverse

଎ 3.1.2! ެ̬ఛႁ̵͂ͭ౯ఛႁ͈๤‫ڛ‬
Fig.3.1.2! Comparison of Flexural Strength and Shear Strength.
!
!
!
!
!
!
!
!
!

101

ა໲ΗͼΠσȜಠ৪ྴ
防災科学技術研究所研究資料 第 331号

2009 年 1 月!
(a) 3.68 ຟȪത aȫັ߃!
(b) 4.27 ຟȪത bȫັ߃!
(c) 4.72 ຟȪത cȫັ߃!
(d) 5.21 ຟȪത dȫັ߃
! ! ! ! ! ! ! (1) XpYnȪNEȫ࿂! ! ! ! ! ! ! ! ! ! ! (2) XnYpȪSWȫ࿂
଎4.3 (1) ! ৘౷ૼτασ 1 ٝ࿒͈అੱ͈ૺജ
Fig. 4.3(1) ! Damage Progress under First Excitation.

102ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか!
(e) 6.9 ຟȪത eȫັ߃!
(f) 7.59 ຟȪത fȫັ߃!
(g) 8.35 ຟȪത gȫັ߃
! ! ! ! ! ! ! (1) XpYnȪNEȫ࿂! ! ! ! ! ! ! ! ! ! ! (2) XnYpȪSWȫ࿂
଎4.3 (2) ! ৘౷ૼτασ 1 ٝ࿒͈అੱ͈ૺജ
Fig. 4.3(2) ! Damage Progress under First Excitation.

103ა໲ΗͼΠσȜಠ৪ྴ
防災科学技術研究所研究資料 第 331号

2009 年 1 月!
! ! ! ! ! ! ! (a) YpȪWȫ࿂! ! ! ! ! ! ! ! ! ! ! ! ! ! (b) XnȪSȫ࿂!
! ! ! ! ! ! ! (c) YnȪEȫ࿂! ! ! ! ! ! ! ! ! ! ! ! ! ! (d) XpȪNȫ࿂
଎4.4! ৘౷ૼτασ 1 ٝ࿒͈৘ࡑࢃ͈అੱ
Fig. 4.4 ! Damage after First Excitation.

104ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか!
(a) 3.74 ຟȪത aȫັ߃!
(b) 4.38 ຟȪത bȫັ߃!
(c) 4.95 ຟȪത cȫັ߃!
(d) 5.43 ຟȪത dȫັ߃
! ! ! ! ! ! ! (1) XpYnȪNEȫ࿂! ! ! ! ! ! ! ! ! ! ! (2) XnYpȪSWȫ࿂
଎4.5 (1) ! ৘౷ૼτασ 2 ٝ࿒͈అੱ͈ૺജ
Fig. 4.5(1) ! Damage Progress under Second Excitation.

105ა໲ΗͼΠσȜಠ৪ྴ
防災科学技術研究所研究資料 第 331号

2009 年 1 月!
(e) 6.97 ຟȪത eȫັ߃!
(f) 7.71 ຟȪത fȫັ߃
! ! ! ! ! ! ! (1) XpYnȪNEȫ࿂! ! ! ! ! ! ! ! ! ! ! (2) XnYpȪSWȫ࿂
଎4.5 (2)! ৘౷ૼτασ 2 ٝ࿒͈అੱ͈ૺജ
Fig. 4.5(2) ! Damage Progress under Second Excitation.

106ཡब‫ݪࡄ੅ܿڠش‬ਫ਼ࡄ‫ݪ‬༭࣬! ల 66 ࣢! 2004 ා 9 ࠮
E-Defense を用いた実大RC橋脚（C1-1 橋脚）震動破壊実験研究報告書−右近ほか!
! ! ! ! ! ! ! (a) YpȪWȫ࿂! ! ! ! ! ! ! ! ! ! ! ! ! (b) XnȪSȫ࿂‫ئ‬௰

!
! ! ! ! ! ! ! (c) YnȪEȫ࿂! ! ! ! ! ! ! ! ! ! ! ! ! (d) XpȪNȫ࿂
଎4.6! ৘౷ૼτασ 2 ٝ࿒͈৘ࡑࢃ͈అੱ
Fig. 4.6 ! Damage after Second Excitation.

107