ᮾᛴᘓタᢏ⾡◊✲ᡤሗ No.41
東急建設技術研究所報No.41

U.D.C 624.15.152.2

᥀๐ᗏᆅ┙ࡢࣜࣂ࢘ࣥࢻኚ఩࡟క࠺࿘㎶ᆅ┙ࡢኚ≧

U.D.C 624.15.152.2

掘削底地盤のリバウンド変位に伴う周辺地盤の変状に関する解析的検討࡟㛵ࡍࡿゎᯒⓗ᳨ウ

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張＊

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媛ᙇ ፾
古垣内靖 㟹 中沢 ྂᇉෆ ୰ἑ楓太ᴁኴ
㸨㸨

㸨
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せ ⣙㸸 㕲㐨࡞࡝ࡀ㏆᥋ࡋࡓ῝࠸ᆅ┙᥀๐ࢆక࠺ᘓタᕤ஦࡛ࡣ㸪᥀๐ᗏ௨῝ᆅ┙ࡢࣜࣂ࢘ࣥࢻኚᙧࡀ㏆᥋ᑐ㇟≀࡟୚࠼ࡿᙳ㡪ࢆ஦๓࡟ホ౯ࡍࡿᚲせࡀ࠶ࡿࠋࡋ࠿ࡋ࡞ࡀࡽ㸪㌾ᙅᆅ┙ࡀཌࡃሁ✚ࡋ㸪࠿ࡘ㸪㌾ᙅᆅ┙࡟ᗋ௜ࡅࡿሙྜ࡟࠾ࡅࡿᐇ஦౛ࡸ᳨ウ஦౛ࡣ࡯࡜ࢇ࡝࡞࠸ࠋᮏሗ࡛ࡣ㸪ὸ㒊ࢆ㌾ᙅ࡟ࡋࡓ஧ᒙᆅ┙ࡢ୕ḟඖ FEM ゎᯒࣔࢹࣝ࡟ࡼࡾ㸪ᆅᒙቃ⏺῝ᗘ࠾ࡼࡧ㌾ᙅᒙࡢ࣏࢔
ࢯࣥẚࢆࣃ࣓࣮ࣛࢱ࡜ࡋࡓᙎᛶゎᯒࢆᐇ᪋ࡋ㸪᥀๐ᗏ௨῝ᆅ┙ࡢࣜࣂ࢘ࣥࢻኚᙧࡀ࿘㎶ᆅ┙㸦ᆅ⾲㠃࠾ࡼࡧᆅ୰㒊㸧࡟୚࠼ࡿᙳ㡪ࢆᐃᛶⓗ࡟⪃ᐹࡋࡓࠋࡑࡢ⤖ᯝ㸪◳㉁ᒙࡢኳ➃ࣞ࣋ࣝࡀ᥀๐ᗏᗋ௜ࡅࣞ࣋ࣝࡼࡾࡶ࠿࡞ࡾ῝࠸ሙྜ㸪࿘㎶ᆅ┙࡟࠾࠸࡚㖄┤ኚ఩࡟ຍ࠼࡚㸪ᆅ୰㒊࡛Ỉᖹኚ఩ࡀ኱ࡁࡃⓎ⏕ࡍࡿࡇ࡜ࢆ☜ㄆࡋࡓࠋࡲࡓ㸪≉࡟㸪㌾ᙅᆅ┙ࡀ⢓ᛶᅵ⣔࡛࣏࢔ࢯࣥẚࡀ኱ࡁ࠸ሙྜ࡟ࡣ㸪ᆅ୰㒊ࡢỈᖹኚ఩ࡀ኱ࡁࡃ࡞ࡿࡇ࡜ࢆ☜ㄆࡋࡓࠋᕤ஦ィ⏬࡟㝿ࡋ࡚ࡣࡇࡢⅬ࡟␃ពࡍࡿᚲせࡀ࠶ࡿ࡜⪃࠼ࡿࠋ㺕㺎㺺㺎㺢㺼㸸  ᥀๐㸪ࣜࣂ࢘ࣥࢻ㸪㌾ᙅᆅ┙㸪㏆᥋᪋ᕤ㸪࣏࢔ࢯࣥẚ㸪ゎᯒ┠ ḟ㸸  ࡣࡌࡵ࡟                       FEM ゎᯒࡢ⤖ᯝ
FEM ゎᯒࡢᴫせ࠾ࡼࡧࣃ࣓࣮ࣛࢱ         ࡲ࡜ࡵ ࡣࡌࡵ࡟๐▷㎶ᖜࡢ 2 ಸࡢ఩⨨࡟タࡅࡓࠋࡲࡓ㸪᥀๐እ࿘㒊ഃ㠃ࡢ┤⾜᪉ྥ࡬ࡢኚ఩ࢆᣊ᮰ࡋࡓࠋ㏆ᖺࡢ㒔ᕷ㒊࡟࠾ࡅࡿᘓ⠏ᕤ஦࡛ࡣ㸪ᆅୗ✵㛫ࡢ᭷ຠά⏝ࢆ┠ⓗ࡜ࡋ࡚㸪㌾ᙅᆅ┙ࡀཌࡃሁ✚ࡍࡿᆅᇦ࡛࠶ࡗ࡚ࡶ㸪⾲㸯࡟ࡣᆅ┙ᐃᩘࢆ♧ࡍࠋᆅ┙ࡣ஧ᒙᆅ┙࡜ࡋ㸪ὸ㒊㌾

῝࠸ᆅ┙᥀๐ࢆక࠸㸪࠿ࡘ㸪㌾ᙅᆅ┙࡟ᗋ௜ࡅࡍࡿሙྜࡀ

ᙅᒙࡣࣖࣥࢢ⋡ E=1.2×105kN/m2 ࡜ࡋ㸪῝㒊◳㉁ᒙࡣࣖࣥ

ᑡ࡞ࡃ࡞࠸ࠋ㕲㐨➼ࡀ㏆᥋ࡍࡿሙྜ࡟ࡣ㸪᥀๐ᗏ௨῝ᆅ┙ࢢ⋡ E=1.4×106kN/m2㸪࣏࢔ࢯࣥẚ Ȟ=0.20 ࡜ࡋࡓࠋ࡞࠾㸪ࡢࣜࣂ࢘ࣥࢻኚᙧ࡟ࡼࡿ㏆᥋ᑐ㇟≀࡬ࡢᙳ㡪ࡀᠱᛕࡉࢀ

ᐇ⌧ሙ࡟࠾࠸࡚᥀๐ᗏ㏆ഐᆅ┙ࡣ㸪ࡦࡎࡳࣞ࣋ࣝ࡟౫Ꮡࡋࡿࡀ㸪ࡇࡢࡼ࠺࡞᮲௳ୗ࡟࠾ࡅࡿࣜࣂ࢘ࣥࢻኚᙧࡢᐇ࡚๛ᛶࡀపୗࡍࡿ࡜⪃࠼ࡽࢀࡿࡀ㸪ᮏゎᯒ࡛ࡣࡑࡢᙳ㡪ࢆ஦౛ࡸゎᯒ᳨ウ஦౛ࡣ࡯࡜ࢇ࡝࡞࠸ࠋ⪃៖ࡋ࡚࠸࡞࠸ࠋᮏሗ࡛ࡣ㸪ὸ㒊ࢆ㌾ᙅᒙ࡟ࡋࡓ஧ᒙᆅ┙ࡢ୕ḟඖ FEMゎᯒࣔࢹࣝ࡟ࡼࡾ㸪ᆅᒙቃ⏺῝ᗘ࠾ࡼࡧ㌾ᙅᒙࡢ࣏࢔ࢯࣥ
ẚࢆࣃ࣓࣮ࣛࢱ࡜ࡋࡓᙎᛶゎᯒࢆᐇ᪋ࡋ㸪᥀๐ᗏ௨῝ᆅ┙ࡢࣜࣂ࢘ࣥࢻኚᙧࡀ࿘㎶ᆅ┙㸦ᆅ⾲㠃࠾ࡼࡧᆅ୰㒊㸧࡟୚࠼ࡿᙳ㡪ࢆᐃᛶⓗ࡟⪃ᐹࡋࡓࠋ
 FEM ゎᯒࡢᴫせ࠾ࡼࡧࣃ࣓࣮ࣛࢱᅗ㸯࡟㸪FEM ゎᯒࣔࢹࣝࢆ♧ࡍࠋᮏࣔࢹࣝࡣ㸪ᑐ⛠᮲௳ࢆ஧㠃࡟㐺⏝ࡋࡓ 1/4 ࣔࢹ࡛ࣝ࠶ࡾ㸪᥀๐᏶஢≧ែࡢᆅ┙ࡢࡳࢆࢯࣜࢵࢻせ⣲࡛ࣔࢹࣝ໬ࡋࡓࠋ࡞࠾㸪ᮏㄽ࡛ࡣᮏ
ࣔࢹࣝࡢኳ➃ࢆ GL±0m ࡜ᐃ⩏ࡍࡿࠋ᥀๐ᖹ㠃ࡣ 26m58m㸦⣙ 1㸸2㸧㸪᥀๐῝ࡉࡣ 15m ࡜ࡋ㸪᥀๐ᗏ㠃࡟ࡣ᤼ᅵ㔜㔞࡟┦ᙜࡍࡿ 270kN/m2㸦௬ᐃ㸸༢఩య✚㔜㔞 18kN/m3㸧ࢆୖྥࡁ࡟స⏝ࡉࡏࡓࠋᮏࣔࢹࣝࡢഃ㠃࠾ࡼࡧᗏ㠃ࡢቃ⏺
᮲௳ࡣ㸪࠸ࡎࢀࡶྛ㠃ࡢ┤⾜᪉ྥ࡬ࡢኚ఩ࢆᣊ᮰ࡋࡓ࣮࣮ࣟࣛቃ⏺࡜ࡋ㸪ࡑࢀࡒࢀ᥀๐እ࿘㒊࠾ࡼࡧ᥀๐ᗏ㠃࠿ࡽ᥀ᅗ㸯 FEM ゎᯒࣔࢹࣝᢏ⾡◊✲ᡤᇶ♏࣭ᵓ㐀ࢢ࣮ࣝࣉ* 技術研究所 基礎・構造グループ

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49

東急建設技術研究所報No.41

࡞࠾㸪ᮏㄽ࡛ࡣゎᯒࣔࢹࣝྡࡣ㸪ࠕ㌾ᙅᒙࡢ࣏࢔ࢯࣥẚࠖ⾲㸰࡟ࡣ㸪ゎᯒࣃ࣓࣮ࣛࢱ࡜ࡋࡓᆅᒙቃ⏺῝ᗘ࠾ࡼࡧὸ㒊㌾ᙅᒙࡢ࣏࢔ࢯࣥẚࢆ♧ࡍࠋᆅᒙቃ⏺῝ᗘࡣ㸪GL-10m

ࠕᆅᒙቃ⏺ࣞ࣋ࣝࠖ࡜⾲グࡍࡿࠋ㸦᥀๐ᗏࡼࡾࡶὸ࠸ሙྜ㸧㸪GL-20m㸦᥀๐ᗏࡼࡾࡶࡸࡸ῝࠸ሙྜ㸧࠾ࡼࡧ GL-35m㸦᥀๐ᗏࡼࡾࡶ࠿࡞ࡾ῝࠸ሙྜ㸧 )(0 ゎᯒࡢ⤖ᯝ࡜ࡋࡓࠋࡲࡓ㸪㌾ᙅᒙࡢ࣏࢔ࢯࣥẚࡣ㸪Ȟ=0.30㸦◁㉁ᅵ⣔ᅗ㸰࡟㸪௦⾲ⓗ࡞ゎᯒ⤖ᯝ࡜ࡋ࡚ 0.45-35 ࣔࢹࣝࡢ XYZᆅ┙㸧࠾ࡼࡧ Ȟ=0.45㸦⢓ᛶᅵ⣔ᆅ┙㸧࡜ࡋࡓࠋゎᯒࡣᙎᛶ᪉ྥኚ఩ࢆྜᡂࡋࡓኚ఩ࢥࣥࢱ࣮ࢆ♧ࡍࠋࡲࡓ㸪⾲㸱࡟㸪ゎᯒ࡜ࡋ㸪ࡇࢀࡽࢆ⤌ྜࡏࡓ 6 ࢣ࣮ࢫ࡟ࡘ࠸࡚ᐇ᪋ࡋࡓࠋ

ྛࣔࢹࣝ࡟࠾ࡅࡿ᥀๐୰ኸ㒊㸦ᅗ㸯୰ࡢ A ఩⨨㸧ࡢ㖄┤ኚ఩㸦௨ୗ㸪ࣜࣂ࢘ࣥࢻኚ఩㸧ࢆ♧ࡍࠋ⾲㸯 ᆅ┙ᐃᩘᅗ㸱㸦㸯㸧࡟ࡣ㸪0.45-10 ࠾ࡼࡧ 0.45-35 ࣔࢹࣝ࡟࠾ࡅࡿࣖ ࣥ ࢢ ⋡ 㸦 kN/m2㸧᥀๐እ࿘㒊࠿ࡽ 2m 㞳ࢀࡓᅗ㸯୰ࡢ S-2 ࠾ࡼࡧ L-2 ఩⨨ࡢ࣏࢔ࢯࣥẚ

1.2×10 5ὸ㒊㌾ᙅᒙ㖄┤࠾ࡼࡧ᥀๐ഃ࡬ࡢỈᖹኚ఩ࡢ῝ᗘศᕸࢆ♧ࡍࠋ㸫(V s=150m/s ┦ ᙜ )῝㒊◳㉁ᒙ

᥀๐ᗏ௨῝ࡀ◳㉁ᒙ࡛࠶ࡿ 0.45-10 ࣔࢹࣝࡢ㖄┤ኚ఩ࡣ㸪ࡑࢀࡒࢀゎᯒࣔࢹࣝࡢᗏ㠃࠿ࡽ᥀๐ᗏ῝ᗘࡲ࡛࡯ࡰ┤1.4×10 

0.20

V s=500m/s ┦ ᙜ⥺ⓗ࡞ኚ఩ศᕸ࡜࡞ࡗ࡚࠸ࡿࠋࡑࢀࡒࢀ᥀๐ᗏ῝ᗘࡼࡾࡶ⾲㸰 ゎᯒࣃ࣓࣮ࣛࢱᆅᒙቃ⏺
῝ᗘGL-10m㌾ᙅᒙࡢ
࣏࢔ࢯࣥẚ

+25.7

GL-20m

GL-35m0.300.45◁㉁ᅵ⣔⢓ᛶᅵ⣔⾲㸱 ᥀๐୰ኸࡢࣜࣂ࢘ࣥࢻኚ఩㸦mm㸧

+0.0㸦mm㸧ᆅᒙቃ⏺῝ᗘZ㌾ᙅᒙࡢ
࣏࢔ࢯࣥẚ

-10m

-20m

-35m

0.30

5.2

13.2

36.1

0.45

5.2

8.1

25.7YXᅗ㸰 XYZ ᪉ྥࡢྜᡂኚ఩ᅗ㸦0.45-35 ࣔࢹࣝ㸧Ỉᖹኚ఩ mm㖄┤ኚ఩ mm-2 0 2 4 6 8 10 -2 0 2 4 6 8 100Ỉᖹኚ఩ mm㖄┤ኚ఩ mm-2 0 2 4 6 8 10 -2 0 2 4 6 8 100

0.45-10㸸L-2
0.45-10㸸S-2-5-10-25-25-30-45

῝ᗘ m

῝ᗘ m

-20

0.45-10㸸L-2
0.45-10㸸S-2‫᥀ۃ‬๐ᗏ

-15-20-40㌾ᙅᒙ ㌾ᙅᒙ

-10‫᥀ۃ‬๐ᗏ

-15-350.45-10㸸L-50.45-10㸸S-5-50.45-35㸸L-20.45-35㸸S-20.45-35㸸L-20.45-35㸸S-20.45-10㸸L-50.45-10㸸S-5-30
0.45-35㸸L-50.45-35㸸S-5-35

0.45-35㸸L-50.45-35㸸S-5-40

◳㉁ᒙ

-45

-50

-50

-55

-55

-60

-60

-65

-65-70-70◳㉁ᒙ

0.45-10

㸦D㸧㖄┤ኚ఩   㸦㹠㸧Ỉᖹኚ఩

㸦D㸧㖄┤ኚ఩   㸦㹠㸧Ỉᖹኚ఩㸦㸯㸧᥀๐እ࿘㒊࠿ࡽ 2m 㞳ࢀࡓ఩⨨㸦㸰㸧᥀๐እ࿘㒊࠿ࡽ 5m 㞳ࢀࡓ఩⨨ᅗ㸱 ࿘㎶ᆅ┙ኚ఩ࡢ῝ᗘศᕸ

500.45-35

東急建設技術研究所報No.41

ࡸࡸ῝࠸ GL-16m ௜㏆࡛᭱኱࡜࡞ࡗ࡚࠾ࡾ㸪ࡑࡢኚ఩㔞ᕸࢆ♧ࡍࠋࡣࣜࣂ࢘ࣥࢻኚ఩ࡢ 4㹼5 ๭࡛࠶ࡿࠋࡇࢀ࡟ᑐࡋ࡚㸪᥀๐㖄┤ኚ఩࡟╔┠ࡍࡿ࡜㸪࠸ࡎࢀࡢ῝ᗘ࡟࠾࠸࡚ࡶ㸪᥀๐ᗏࡀ㌾ᙅᒙ࡛◳㉁ᒙࡀ࠿࡞ࡾ῝࠸῝ᗘ࡟࠶ࡿ 0.45-35 ࣔ㒊࡟㏆࠸ B ➃㠃ࡢ᪉ࡀ኱ࡁࡃ㸪᥀๐㒊㛗㎶ࡢ୰ኸ࡟㏆࠸࡯ࢹࣝࡢ㖄┤ኚ఩ࡣ㸪ࡑࢀࡒࢀ㌾ᙅᒙ㸦GL-35m ௨ὸ㸧࡛ᛴ࡝኱ࡁ࠸ࠋB ᩿㠃࡜ C ᩿㠃ࢆẚ࡭ࡿ࡜㸪ᆅ୰㒊ࡢ GL-15m

ቑࡋ࡚࠸ࡿࠋࡑࢀࡒࢀ GL-12m㹼-20m ௜㏆࡛᭱኱࡜࡞ࡗ

࠾ࡼࡧ GL-20m ࡛ࡣ B ᩿㠃ࡢ᪉ࡀ 2 ಸ⛬ᗘ኱ࡁ࠸ࡢ࡟ᑐ

࡚࠾ࡾ㸪ࡑࡢኚ఩㔞ࡣࣜࣂ࢘ࣥࢻኚ఩ࡢ 2 ๭⛬ᗘ࡛࠶ࡿࠋ

ࡋ࡚㸪GL±0m ࡛ࡣ࡯࡜ࢇ࡝ᕪ␗ࡀ࡞࠸ࠋࡲࡓ㸪㝯㉳᪉ྥ୍᪉㸪Ỉᖹኚ఩ࡣ 0.45-10 ࣔࢹ࡛ࣝࡣ࡯࡜ࢇ࡝⏕ࡌ࡚࠸࡞ࡢኚ఩ࡀ⏕ࡌ࡚࠸ࡿ⠊ᅖ㸦௨ୗ㸪㖄┤ኚ఩ࡢᙳ㡪⠊ᅖ㸧ࡣ㸪࠸ࡀ㸪0.45-35 ࣔࢹ࡛ࣝࡣ᥀๐ᗏ௨῝ࡢ㌾ᙅᒙ࡛኱ࡁࡃ⏕B ᩿㠃࠾ࡼࡧ C ᩿㠃ඹ࡟㸪ᆅ୰㒊ࡢ GL-15m ࠾ࡼࡧ GL-20m

ࡌ࡚࠸ࡿࠋྠࣔࢹࣝࡢ᭱኱Ỉᖹኚ఩ࡣࣜࣂ࢘ࣥࢻኚ఩ࡢ 3

ࡼࡾࡶ GL±0m ࡢ᪉ࡀᗈࡃ㸪᥀๐➃㒊࠿ࡽ᥀๐㛗㎶ᖜࡢ 0.4

๭⛬ᗘ࡛࠶ࡿࠋࡲࡓ㸪▷㎶ഃ S-2 ࡜㛗㎶ഃ L-2 ࢆẚ㍑ࡍࡿ

ಸ⛬ᗘ࡛࠶ࡿࠋ

࡜㸪ྛ᪉ྥࡢኚ఩ࡣ୧ࣔࢹࣝ࡜ࡶ㛗㎶ഃࡢ᪉ࡀ኱ࡁ࠸ࠋỈᖹኚ఩࡟╔┠ࡍࡿ࡜㸪 Ỉᖹኚ఩ࡀ኱ࡁࡃ⏕ࡌ࡚࠸ࡿࡲࡓ㸪ྠᅗ㸦㸰㸧࡟ࡣ㸪ྠࣔࢹࣝ࡟࠾ࡅࡿ᥀๐እ࿘㒊࠿GL-20m ࠾࠸࡚㸪᥀๐ഃ࡬ࡢኚ఩ࡀ⏕ࡌ࡚࠸ࡿ⠊ᅖ㸦௨ୗ㸪

ࡽ 5m 㞳ࢀࡓᅗ㸯୰ࡢ S-5 ࠾ࡼࡧ L-5 ఩⨨ࡢ㖄┤࠾ࡼࡧ᥀Ỉᖹኚ఩ࡢᙳ㡪⠊ᅖ㸧ࡣ᥀๐➃㒊࠿ࡽ᥀๐㛗㎶ᖜࡢ 0.7 ಸ๐ഃ࡬ࡢỈᖹኚ఩ࡢ῝ᗘศᕸࢆ♧ࡍࠋ⛬ᗘ࡛࠶ࡾ㸪㖄┤ኚ఩ࡢᙳ㡪⠊ᅖࡼࡾᗈ࠸ࠋ

0.45-10 ࣔࢹࣝ࠾ࡼࡧ 0.45-35 ࣔࢹࣝࡢ㖄┤ኚ఩ࡣ㸪ࡑࢀ௨ୖࡼࡾ㸪ᆅୖ࡟㕲㐨➼ࡀ㏆᥋ࡍࡿሙྜ࡟ࡣ㸪᥀๐ᗏ௨ࡒࢀ GL-13m ࠾ࡼࡧ GL-6m ௜㏆࡛᭱኱࡜࡞ࡗ࡚࠾ࡾ㸪ࡑ῝ᆅ┙ࡢࣜࣂ࢘ࣥࢻ࡟ࡼࡿ㏆᥋ᑐ㇟≀ࡢኚ≧ࡣ㸪㖄┤᪉ྥࡢኚ఩㔞ࡣࣜࣂ࢘ࣥࢻኚ఩ࡢ 3㹼4 ๭࠾ࡼࡧ 2 ๭⛬ᗘ࡛࠶ࡀ୺యⓗ࡜࡞ࡿࡀ㸪᥀๐ᗏ௨῝࡟ᆅୗ㕲➼ࡀ㏆᥋ࡍࡿሙྜ

ࡿࠋ᥀๐㒊࡟㏆࠸ S-2 ࠾ࡼࡧ L-2 ࡟ẚ࡭࡚㸪ὸ࠸῝ᗘ࡛᭱࡟ࡣ㸪ࡑࢀ࡟ຍ࠼࡚Ỉᖹ᪉ྥ࡟ࡶ⏕ࡌ㸪ࡑࡢኚ఩㔞ࡀ⏕ࡌ኱࡜࡞ࡿഴྥࡀ࠶ࡿࠋ0.45-35 ࣔࢹࣝ࡟╔┠ࡍࡿ࡜㸪㌾ᙅࡿ⠊ᅖࡣỈᖹኚ఩ࡢ᪉ࡀᗈ࠸ࡇ࡜ࡀ☜ㄆࡉࢀࡓࠋ

ᒙ㸦GL-35m ௨ὸ㸧࡛㖄┤ኚ఩ࡀᛴቑࡍࡿഴྥࡣぢࡽࢀࡎ㸪ᅗ㸳࡟㸪඲࡚ࡢゎᯒࣔࢹࣝ࡟࠾ࡅࡿᅗ㸯୰ L-2 ࠾ࡼࡧ᥀๐㒊࡟㏆࠸ S-2 ࠾ࡼࡧ L-2 ࡢ῝ᗘศᕸ࡜ࡣഴྥࡀ␗࡞ࡿࠋL-5 ࡢᆅ⾲㠃㸦GLs0m㸧࠾ࡼࡧᆅ୰㒊㸦GL-20m㸧ࡢ㖄┤୍᪉㸪ྠࣔࢹࣝࡢỈᖹኚ఩ࡣ㸪᥀๐㒊࡟㏆࠸ S-2 ࠾ࡼࡧ L-2࠾ࡼࡧỈᖹኚ఩ࢆ♧ࡍࠋࡼࡾࡸࡸᑠࡉ࠸ࡶࡢࡢ㸪ᴫࡡྠᵝࡢศᕸᙧ≧ࢆࡋ࡚࠸ࡿࠋ

ᆅᒙቃ⏺ GL-35m ࣔࢹࣝ࡟╔┠ࡍࡿ࡜㸪㖄┤ኚ఩ࡣᆅ⾲ᅗ㸲࡟㸪0.45-35 ࣔࢹࣝࡢᅗ  ୰ B ᩿㠃㸦᥀๐እ࿘㒊࠿㠃࠾ࡼࡧᆅ୰㒊ඹ࡟࣏࢔ࢯࣥẚࡀᑠࡉ࠸࡯࠺ࡀ኱ࡁ࠸ࠋ୍

ࡽ 2m 㞳ࢀ㸧࡜ C ᩿㠃ᅗ㸦᥀๐እ࿘㒊࠿ࡽ 5m 㞳ࢀ㸧࡟࠾᪉㸪ᆅ୰㒊ࡢỈᖹኚ఩ࡣ㸪࣏࢔ࢯࣥẚࡀ኱ࡁ࠸࡯࠺ࡀ኱ࡁ

ࡅࡿ GLs0m㸪-15m ࠾ࡼࡧ-20m ࡢ㖄┤࠾ࡼࡧỈᖹኚ఩ศ

࠸ࠋ

8
6
4
20-2-4Ỉᖹኚ఩䠄mm䠅㖄┤ኚ఩䠄mm䠅

B᩿㠃䠄2m㞳䜜䠅C᩿㠃䠄5m㞳䜜䠅

᥀๐➃㒊
᥀๐⠊ᅖ

90

80

70

60
50
40
30
㛗㎶୰ኸ࠿ࡽࡢ㊥㞳䠄m䠅

20

10

8
64
20-2-40B᩿㠃䠄2m㞳䜜䠅
C᩿㠃䠄5m㞳䜜䠅

᥀๐➃㒊
᥀๐⠊ᅖ

90

80

70

Ỉᖹኚ఩䠄mm䠅㖄┤ኚ఩䠄mm䠅864
20-2-4B᩿㠃䠄2m㞳䜜䠅
C᩿㠃䠄5m㞳䜜䠅

᥀๐➃㒊
᥀๐⠊ᅖ

90

80

7060
50
4030
㛗㎶୰ኸ࠿ࡽࡢ㊥㞳䠄m䠅

20100᥀๐➃㒊᥀๐⠊ᅖ

90Ỉᖹኚ఩䠄mm䠅㖄┤ኚ఩䠄mm䠅

᥀๐➃㒊
᥀๐⠊ᅖ

80

70080

70

60
50
4030
㛗㎶୰ኸ࠿ࡽࡢ㊥㞳䠄m䠅

20

100

㸦㹠㸧GL-15m

B᩿㠃䠄2m㞳䜜䠅C᩿㠃䠄5m㞳䜜䠅90

10B᩿㠃䠄2m㞳䜜䠅
C᩿㠃䠄5m㞳䜜䠅㸦㹠㸧GL-15m
8
6
4
20-2-420

㸦D㸧GLs0m

㸦D㸧GLs0m
8
6
4
20-2-460
504030
㛗㎶୰ኸ࠿ࡽࡢ㊥㞳䠄m䠅

60
50
4030
㛗㎶୰ኸ࠿ࡽࡢ㊥㞳䠄m䠅

20

100

8
6
4
20-2-4B᩿㠃䠄2m㞳䜜䠅
C᩿㠃䠄5m㞳䜜䠅

᥀๐➃㒊
᥀๐⠊ᅖ

90

80

70

60

50

4030

㛗㎶୰ኸ࠿ࡽࡢ㊥㞳䠄m䠅㸦㹡㸧GL-20m

㸦㹡㸧GL-20m
㸦㸯㸧┤ኚኚ఩                 㸦㸰㸧Ỉᖹኚ఩ᅗ㸲 ࿘㎶ᆅ┙ኚ఩ࡢỈᖹศᕸ㸦0.45-35 ࣔࢹࣝ㸧
5120

100㌾ᙅᒙ䛾䝫䜰䝋䞁ẚ
0.30
0.45

L-2L-2L-5GL-10

L-2GL-20ᆅᒙቃ⏺ࣞ࣋ࣝ㸦m䠅㖄┤ኚ఩㸦mm㸧

L-5GL-10

L-2L-2L-514
12108
64
20-2㌾ᙅᒙ䛾䝫䜰䝋䞁ẚ
0.30
0.45

L-2L-2L-5GL-35

㸦㹠㸧Ỉᖹኚ఩L-5L-2L-2GL-10GL-35

L-5GL-20ᆅᒙቃ⏺ࣞ࣋ࣝ㸦m㸧㸦㸯㸧 ᆅ⾲㠃㸦GLs0m㸧

L-5GL-20㌾ᙅᒙ䛾䝫䜰䝋䞁ẚ
0.30
0.45

GL-10L-5L-21412108
6420-2GL-35L-2㌾ᙅᒙ䛾䝫䜰䝋䞁ẚ
0.30
0.45

L-2L-5L-5㸦D㸧㖄┤ኚ఩
141210864
20-2Ỉᖹኚ఩㸦mm㸧

141210864
20-2Ỉᖹኚ఩㸦mm㸧㖄┤ኚ఩㸦mm㸧

東急建設技術研究所報No.41

L-5GL-20ᆅᒙቃ⏺ࣞ࣋ࣝ㸦m㸧

L-5GL-35ᆅᒙቃ⏺ࣞ࣋ࣝ㸦m㸧㸦㹠㸧Ỉᖹኚ఩

㸦D㸧㖄┤ኚ఩
㸦㸰㸧ᆅ୰㒊㸦GL-20P㸧

ᅗ㸳 ࿘㎶ᆅ┙ኚ఩ࡢᆅ⾲㠃࠾ࡼࡧᆅ୰㒊ࡢᆅ┙ኚ఩ࡲࡓ㸪ྠࣔࢹࣝ࡟࠾࠸࡚㸪㖄┤ኚ఩࡜Ỉᖹኚ఩ࢆẚ㍑ࡍࡿ

㸧 ㌾ᙅᒙࡢᆅᒙቃ⏺῝ᗘࡀ᥀๐ᗏࡼࡾࡶ࠿࡞ࡾ῝࠸ሙ࡜㸪࣏࢔ࢯࣥẚ 0.30 ࡢࣔࢹ࡛ࣝࡣ㖄┤ኚ఩ࡢ᪉ࡀ኱ࡁࡃ㸪ྜ㸪࿘㎶ᆅ┙࡟࠾࠸࡚㸪㖄┤ኚ఩࡟ຍ࠼࡚ᆅ୰㒊࡛࣏࢔ࢯࣥẚ 0.45 ࡢࣔࢹ࡛ࣝࡣỈᖹኚ఩ࡢ᪉ࡀ኱ࡁ࠸ࠋࡘ

ẚ㍑ⓗ኱ࡁ࡞Ỉᖹኚ఩ࡀ⏕ࡌࡿࠋࡲࡾ㸪◳㉁ᒙࡀ᥀๐ᗏࡼࡾࡶ࠿࡞ࡾ῝࠸ሙྜ㸪ᆅ⾲㠃࠾ࡼ㸧 ㌾ᙅᒙࡀ◁㉁ᅵ⣔࡛࣏࢔ࢯࣥẚࡀᑠࡉ࠸ሙྜ㸪⢓ᛶࡧᆅ୰㒊࡟⏕ࡌࡿ㖄┤ኚ఩ࡣ㌾ᙅᒙࡀ◁㉁ᅵ⣔ࡢሙྜ࡟ᅵ⣔࡛࣏࢔ࢯࣥẚࡀ኱ࡁ࠸ሙྜ࡟ẚ࡭࡚㸪ᆅ⾲㠃࠾኱ࡁࡃ㸪ᆅ୰㒊ࡢỈᖹኚ఩ࡣྠᒙࡀ⢓ᛶᅵ⣔ࡢሙྜ࡟኱ࡁࡼࡧᆅ୰㒊࡟⏕ࡌࡿ㖄┤ኚ఩ࡣ኱ࡁࡃ࡞ࡿࠋ୍᪉㸪࠸ࡇ࡜ࡀ☜ㄆࡉࢀࡓࠋ㌾ᙅᒙࡀ⢓ᛶᅵ⣔࡛࣏࢔ࢯࣥẚࡀᑠࡉ࠸ሙྜ㸪⢓ᛶᅵ⣔࡛࣏࢔ࢯࣥẚࡀ኱ࡁ࠸ሙྜ࡟ẚ࡭࡚㸪ᆅ୰㒊࡟ ࡲ࡜ࡵ⏕ࡌࡿỈᖹኚ఩ࡀ኱ࡁࡃ࡞ࡿࠋᮏሗ࡛ࡣ㸪᥀๐ᗏ௨῝࡟㌾ᙅᆅ┙ࡀཌࡃሁ✚ࡍࡿሙྜ࡟ᕤ஦ィ⏬࡟㝿ࡋ࡚ࡣ㸪ୖグࡢⅬ࡟␃ពࡍࡿᚲせࡀ࠶ࡿ࡜࠾࠸࡚㸪᥀๐ᗏ௨῝ᆅ┙ࡢࣜࣂ࢘ࣥࢻࡀ࿘㎶ᆅ┙࡟୚࠼ࡿ࠸࠼ࡼ࠺ࠋࡲࡓ㸪௒ᚋ㸪ࡇࡢࡼ࠺࡞ᆅ┙᮲௳࡟࠾ࡅࡿࣜࣂᙳ㡪ࢆゎᯒⓗ࡟᳨ウࡋࡓࠋᚓࡽࢀࡓ▱ぢࢆ௨ୗ࡟♧ࡍࠋ࢘ࣥࢻኚ఩ࡢᐇ⤖ᯝࡀ⵳✚ࡉࢀࡿࡇ࡜ࡀᮃࡲࢀࡿࠋཧ⪃ᩥ⊩㸧 ᰘᓮ἟ୖ୰ἑ࡯࠿㸸኱つᶍ᥀๐ᕤ஦ࡢࣜࣂ࢘ࣥࢻ࡟ࡼࡿ㏆᥋㕲㐨㧗ᯫᶫ࡬ࡢᙳ㡪➨  ᅇᆅ┙ᕤᏛ◊✲Ⓨ⾲఍
pp.819-8202014.7
㸧 ୰ ἑ  ἟ ୖ ࡯ ࠿ 㸸 ኱ つ ᶍ ࡞ 㡰 ᡴ ࡕ ᕤ ஦ ࡟ ࠾ ࡅ ࡿ ᅵ ୹ ᒙ ࡢ ࣜ ࣂ ࢘ ࣥ ࢻ ホ ౯  ᮾ ᛴ ᘓ タ ᢏ ⾡ ◊ ✲ ᡤ ሗ No.36
pp.45-502011.2


ANALYSIS OF THE DEFORMATION OF SURROUNDING GROUND DUE TO REBOUND OF THE
GROUND DEEPER THAN EXCAVATION BOTTOMY.Zhang, Y.Furugaichi and F.Nakazawa
Construction works with deep excavation adjacent to railroad are not uncomment in metropolis. In this paper, athree-dimensional analytical model is built in order to evaluate the deformation behavior of the surrounding ground around theexcavation subjected to the rebound of the ground deeper than excavation bottom. The elastic model is composed of the hard and thesoft ground layers, in which two parameters, both the ground layer depth and the Poisson’s ratio of soft ground, are taken intoaccount. The analytic results indicate that the vertical displacement as well as the horizontal displacement in the underground becomelarge under the condition of excavation bottom far away from the upper surface level of the hard layer. Besides, the horizontal
displacement in the underground increases with the increase of the Poisson’s ratio of the soft ground.

52