䊐䉳䉺ᛛⴚ⎇ⓥႎ๔㩷╙ 㪋㪍 ภ㩷 㩷 㪉㪇㪈㪇 ᐕ㩷㩷ᑪ⸳Ꮏ੐ᝄേ䈱࿾⋚ᝄേኻ╷䈫䈠䈱ᝄേૐᷫലᨐ䈮㑐䈜䉎ᬌ⸛㩷ዊ ⼱ ᦮ ᄩ ⾆㩷 㩷᭎✎ ⼱ ㊀ ⷙ 䋪䋱ṭ ᚭ ᐘ 㓶㩷㩷㩷㩷㩷㩷ⷐ㆏〝੤ㅢᝄേ䇮㋕㆏ᝄേ䇮ᑪ⸳Ꮏ੐ᝄേ䇮Ꮏ႐ᝄേ䈭䈬䈱䈇䉒䉉䉎ⅣႺᝄേ䈱ᝄേૐᷫᣇᴺ䈫䈚䈩䈲䇮ᝄേḮ஥䇮વ៝⚻〝䋨࿾⋚䋩䇮ฃᝄ஥䈱䋳஥㕙䈪䈱ኻ╷䈏⠨䈋䉌䉏䉎䇯ᧄႎ䈪䈲વ៝⚻〝䋨࿾⋚䋩䈮䈍䈔䉎ኻ╷䈫䈚䈩⠨䈋䉌䉏䉎 㪊 ⒳㘃䈱Ꮏᴺ䋨㍑⍫᧼ო䇮䉸䉟䊦䉶䊜䊮䊃ო䇮ⓨḴ䋩䈱࿾⋚ᝄേૐᷫലᨐ䈮㑐䈜䉎ᝄേવ៝ታ㛎䉕ⴕ䈦䈢䇯㩷੹࿁䈱ታ㛎⚿ᨐ䈎䉌㍑⍫᧼ო䈮䉋䉍㋦⋥ᣇะᝄേ䊧䊔䊦䈪 㪌㪻㪙 ⒟ᐲ䇮䉸䉟䊦䉶䊜䊮䊃ო䈪 㪌䌾㪈㪇㪻㪙 ⒟ᐲ䈱࿾⋚ᝄേૐᷫലᨐ
䈏⷗䉌䉏䈢䇯䉁䈢䇮ᷓ䈘 㪉䌭⒟ᐲ䈱ⓨḴ䈪䉅䇮ථ⿧๟ᵄᢙ䈏Ყセ⊛㜞䈇․ᕈ䈱ടᝄḮ䈱႐ว䇮ᝄേ䊧䊔䊦䈪 㪌䌾㪈㪇㪻㪙 ⒟ᐲ䈱ᝄേૐᷫലᨐ䈏⷗䉌䉏䈢䇯ᦝ䈮 㪉䌭ជ೥ᓟ䈮ၒ䉄ᚯ䈚䈩䉅䇮ᷓ䈘 㪈䌭䈱ⓨḴ䈫ห⒟ᐲ䈱 㪉䌾㪌㪻㪙 ⒟ᐲ䈱ᝄേૐᷫലᨐ䈏䈅䉎䈖䈫䈏್䈦䈢䇯㩷Assessment of ground vibration due to construction works andexamination of mitigation techniques .
Abstract
So-called ‘environmental vibrations’ are caused by road traffic, railways, construction works andfactory operations. Three main approaches have been tried to mitigate these vibrations – methods that
reduce the vibration at source, methods that limit propagation and methods that insulate the receiver.
In this report, experiments were undertaken to evaluate the effectiveness of three different techniques(sheet pile wall, soil cement wall and trench) to reduce propagation of ground vibration.
The experiments confirmed that the sheet pile reduced ground vibration by around 5dB in thevertical vibration level. The soil cement retaining wall gave a reduction of 5-10dB. In the method usingtrench with a depth of 2 m, a reduction of 5-10dB was obtained for a vibration source with relatively
high excitement frequency. In addition, in the case where the 2m-deep trench was backfilled withloosely compacted soil for safety reasons, a reduction of 2-5 dB was obtained, which is the same
reduction level for an unfilled trench with a depth of 1m.

䉨䊷䊪䊷䊄䋺 Ꮏ੐ᝄേ㩷 ࿾⋚ᝄേ㩷 ᝄേૐᷫጊ⇐䉄ო㩷 ⓨḴ㩷 ၒ䉄ᚯ䈚㪁䋱㩷 ᑪ⸳ᧄㇱ㩷 ᛛⴚㇱ㩷 㩷䋭㪎㪈䋭䊐䉳䉺ᛛⴚ⎇ⓥႎ๔㩷 ╙ 㪋㪍 ภ§䋱䋮䈲䈛䉄䈮㩷㩷

P3

P1 P2㆏〝੤ㅢᝄേ䇮㋕㆏ᝄേ䇮ᑪ⸳Ꮏ੐ᝄേ䇮Ꮏ႐ᝄേ䈭

P4P5P6P7࿾⋚ടᝄὐ䈬䈱䈇䉒䉉䉎ⅣႺᝄേ䈱ᝄേૐᷫᣇᴺ䈫䈚䈩䈲䇮ᝄേḮy஥䇮વ៝⚻〝䋨࿾⋚䋩䇮ฃᝄ஥䈱 3 ஥㕙䈪䈱ኻ╷䈏⠨䈋䉌zxኻ╷Ꮏጊ⇐߼ო‫ޔ‬ⓨḴߥߤᢿ㕙࿑䉏䉎䇯ᝄേḮ஥䈱ኻ╷䈪䈲䇮ૐᝄേဳ䈱㊀ᯏ䉇ᯏེ䈏㐿z⊒䈘䉏䈩䈇䉎䇯ᑪ⸳Ꮏ੐ᝄേ䈭䈬䈱વ៝⚻〝䋨࿾⋚䋩䈮䈍xy䈔䉎ኻ╷䈫䈚䈩䈲䇮ⓨḴ䉇࿾ਛო䈭䈬䈏ታᣉ䈘䉏䈩䈍䉍䇮㧦ฃᝄὐ

4㨙 ㍑⍫᧼ო

ᢙᄙ䈒䈱⎇ⓥ䉇ታ㛎⚿ᨐ䈏ႎ๔䈘䉏䈩䈇䉎 㪈䋩䇯ฃᝄ஥䈱

3㨙
2㨙

5㨙

8㨙

10㨙

16㨙

P1 P2

P3

P4

P5P6

ടᝄὐ 0㨙

ታ㛎 1㧦㍑⍫᧼ო䈘䉏䈩䈇䉎䇯㩷P7

⴫㪈䇭㍑⍫᧼ო䇭઀᭽ဳᑼ㸉ဳ䇭ෘ㪈㪊㪅㪇㫄㫄ო㐳㪣㪔㪈㪉㪅㪇㫄㗡಴䈚㪇㪅㪇㫄ᣉᎿᣇᴺ䍨䍼䍐䍪䍼䍹Ꮏᴺኻ╷䈫䈚䈲䇮ᑪ‛ౝ䈮ᝄേ೙ᓮⵝ⟎㩿㪫㪤㪛䋺േๆᝄེ䉇㪘㪤㪛䋺䉝䉪䊁䉞䊑䊙䉴䉻䊮䊌㪀䉕ข䉍ઃ䈔䉎ᣇᴺ䈭䈬䈏ታᣉ

32㨙

᷹✢

a䋩᷹ቯᐔ㕙࿑䋨㍑⍫᧼ო䋩ᧄႎ䈪䈲વ៝⚻〝䋨࿾⋚䋩䈮䈍䈔䉎ኻ╷䈫䈚䈩⠨䈋䉌䉏
䉎 3 ⒳㘃䈱Ꮏᴺ䋨ታ㛎 1䋺㍑⍫᧼ጊ⇐䉄ო䇮ታ㛎 2䋺䉸䉟䊦z䉶䊜䊮䊃ጊ⇐䉄ო䇮ታ㛎 3䋺ⓨḴ䋩䈱࿾⋚ᝄേૐᷫലᨐ䈮yx㑐䈜䉎ᝄേવ៝ታ㛎䉕ⴕ䈦䈢䈱䈪䈠䈱⚿ᨐ䈮䈧䈇䈩ႎ๔
䈜䉎䇯㩷

3㨙
2㨙

5㨙

12㨙

15㨙

P1 P2

P3P4P5⴫㪉䇭䉸䉟䊦䉶䊜䊮䊃ო䇭઀᭽⧌᧚

ടᝄὐ 0㨙

㩷᷹✢㪟㪄㪊㪐㪍㬍㪈㪐㪐㬍㪎㬍㪈㪈㩷㪗㪐㪇㪇㩷㪣㪔㪎㪅㪇㫄䉸䉟䊦䉶䊜䊮䊃 ᓘ㪌㪌㪇㱂䇭䌀㪋㪌㪇䇭㪣㪔㪈㪌㪅㪇㫄ታ㛎 2㧦࠰ࠗ࡞࠮ࡔࡦ࠻ო

§䋲䋮ታ㛎᭎ⷐb䋩᷹ቯᐔ㕙࿑䋨䉸䉟䊦䉶䊜䊮䊃ო䋩ⓨḴ(4.5)ᝄേવ៝ታ㛎䈲䇮ฦኻ╷Ꮏᴺ䈱ᣉᎿ೨䊶ᓟ䈱 2 ࿁䇮ห৻䈱႐ᚲ䈪ⴕ䈦䈢䇯ടᝄḮ䈲䊋䉾䉪䊖䉡䉕૶↪䈚䇮࿾਄㜞䈪ᓔᓳ⿛ⴕ䈘䈞䈢⿛ⴕടᝄ䈱 2 ⒳㘃䈫䈚䈢 䇯ታ㛎䈪૶↪
䈚䈢䊋䉾䉪䊖䉡䈱ㆇォ⾰㊂䈲䇮ታ㛎 1䇮3 䈪䈲 13.4㫋㫆㫅䇮ታ

20㨙

㪉䋩

⿛ⴕ▸࿐ 6㨙

0䈘 0.3䌭䈎䉌䈱䊋䉬䉾䊃ᛂ᠄ടᝄ䈫䇮䊋䉾䉪䊖䉡䉕⚂ 5㫂㫄㪆㪿

2 3

6128

ടᝄὐ߆ࠄߩ〒㔌(m)

1632㨙

2 2

2

2

㨦

x

㛎 2 䈪䈲 12.0㫋㫆㫅 䈱䉅䈱䉕૶↪䈚䇮䊋䉬䉾䊃ኈ㊂䈲䈇䈝䉏䉅
0.5m3 䈪䈅䉎䇯᷹ቯὐ䈲䇮ታ㛎 1䇮2

㧦ฃᝄὐ4㨙 ࠰ࠗ࡞࠮ࡔࡦ࠻ო

2

2

y

䈲ጊ⇐䉄ოਛᔃ䈎䉌⴫㪊䇭ታ㛎䊌䉺䊷䊮
ታ㛎㪥㫆䋮
ౝኈ
ᣇᴺ
㪈
ⓨḴ䈭䈚
ᣉᎿ೨
ⓨḴ
㪉
䊋䉾䉪䊖䉡䈮䉋䉎
㪈䌭ជ೥
ⓨḴ
㪊
䇰
㪉䌭ជ೥




䈎䉌 4m ὐ䇮ታ㛎 3 䈮䈧䈇䈩䈲ⓨḴਛᔃ䈎䉌 4.5m ὐ䉕ട㪉䌭ជ೥ᓟᱷ࿯౉䉏䉎䈣䈔ၒ䉄ᚯ䈚㪉䌭ជ೥ᓟ䊋䉾䉪䊖䉡⿛ⴕ䇮䊋ၒ䉄ᚯ䈚䉬䉾䊃䈮䉋䉍ォ࿶シ䈒ォ࿶㪋ታ㛎 3㧦ⓨ Ḵ㪌ᝄὐ䈫䈚䇮ኻ╷Ꮏᴺ䈫ု⋥䈮੤䉒䉎᷹✢਄䈮ฃᝄὐ䉕⸳c䋩᷹ቯᐔ㕙࿑䋨ⓨḴ䋩ቯ䈚䈢䇯᷹ቯ䈲䇮ฦฃᝄὐ䈱࿾⴫㕙䈮䊕䉫⁁䈱㊄‛䋨ᓘ 8

࿑ 1㩷 ኻ╷Ꮏ૏⟎෸䈶᷹ቯὐ㱢䇮㐳䈘 200mm䋩䈪࿕ቯ䈚䈢䉝䊦䊚౞⋚䋨ෘ䈘 15mm䇮⋥

᷹✢

2

ࡍࠣ⁁㊄‛
ኻ╷Ꮏ૏⟎

ᓘ 200mm䋩਄䈮ᝄേ䊧䊔䊦⸘䋨RION VM-53A䋩䈱䊏䉾䉪䉝䉾䊒䉕⸳⟎䈚䋨౮⌀ 1,2䋩䇮ోฃᝄὐ䈱ᝄേടㅦᐲ䋨3 ᣇะ䋺㋦⋥䌺䊶᳓ᐔ x,y䋩䉕หᤨ䈮ᄙ䉼䊞䊮䊈䊦䊂䊷䉺䊧䉮䊷䉻㩕㩩㨹㩂㨻㨹㩖㩩

䊷䋨SONY PC-216AX䋩䈮෼㍳䈚䈢䇯ಽᨆ䈲ታᤨ㑆๟ᵄᢙಽᨆེ䋨ዊ㊁ེ᷹ DS-2000䋩䈮䉋䉍 1/3 䉥䉪䉺䊷䊑䊋䊮䊄䍼䈗䈫䈱ᝄേടㅦᐲ䊧䊔䊦䈫䈚䈢䇯ಽᨆ䈱ᤨቯᢙ䈲
630msec 䈫䈚䇮ᛂ᠄ടᝄᤨ䈲 10 ⑽㑆䈱ᦨᄢ୯䋨Lmax䋩䇮⿛ⴕടᝄᤨ䈲 30 ⑽㑆䈱䉣䊈䊦䉩䊷ᐔဋ୯䋨Leq䋩䈫䈚䈢䇯㪉㪅㪈 ㍑⍫᧼ጊ⇐䉄ო䈱ᝄേታ㛎䋨ታ㛎 㪈䋩㩷ታ㛎䋱䈱ጊ⇐䉄ო䈱઀᭽䈲ෘ䈘 13.0䌭䌭䇮ო㐳 12䌭䈱㍑⍫᧼䈪䊋䉟䊑䊨Ꮏᴺ䈮䈩ᣉᎿ䈚䈩䈇䉎䋨⴫ 1䋩䇯࿾⋚ᝄേታ㛎䈱᷹ቯὐ䉕࿑ 1 a)䈮䇮ታ㛎႐ᚲ䈱࿯⾰ᩇ⁁࿑䉕࿑ 2a) 䈮␜䈜䇯㍑⍫᧼ოవ┵䈲 N ୯䈏ዊ䈘䈇࿾ጀ䈮⇐䉁䈦᷹✢ࠕ࡞ࡒ౞⋚㩷㩷㩷㩷౮⌀ 1㩷 㩷 㩷࿾⋚᭴ᚑ㩿ታ㛎㪉㪀࿾⋚᭴ᚑ䋨ታ㛎㪈䋩ᷓᐲ࿯⾰඙ಽ㩿㫄㪀㪈㪉㪊㪋㪌㪍㪎㪏㪐㪈㪇㪈㪈㪈㪉㪈㪊㪈㪋㪈㪌㪈㪍㪈㪎㪈㪏㪈㪐㪉㪇㪉㪈⋓࿯⋓࿯᦭ᯏ⾰䉲䊦䊃㪄㪈㪉㪉㪈㪈㪈㪇䉲䊦䊃⾰☼࿯㪈㪌㪇㪇㩷 a)ታ㛎 1䈩䈇䉎䇯䋭㪎㪉䋭ᷓᐲ࿯⾰඙ಽ㩿㫄㪀㪥୯㪈㪇 㪉㪇 㪊㪇 㪋㪇㪈㪈㪉㪈⍾ᷙ䈛䉍 㪈䉲䊦䊃㪈㪈㪍⍾⾰࿯㪈㪏㪈㪇㪎㪈㪍㪎㘑ൻጤ 㪉㪌㪇㪈㪍㪎㩷 㩷 㩷 㩷 㩷 㩷 㩷 ౮⌀ 2㹢㹢㹢㹢㹢㪈⍾␕㪉⚦⍾㪊 䉲䊦䊃㪋⚦⍾㪌㪍㪎㪏㪐㪈㪇ਛ⍾䊶㪈㪈⚦⍾㪈㪉㪈㪊㪈㪋㪈㪌㪈㪍㪈㪎㪈㪏 䉲䊦䊃⾰☼࿯㪈㪐㪉㪇㪉㪈㪇㪄㪈㪉㪍㪍㪎㪈㪇㪈㪌㪈㪏㪉㪇㪉㪎㪉㪏㪉㪎㪌㪊㪈㪉㪊㪊㪥୯㪈㪇 㪉㪇 㪊㪇 㪋㪇࿾⋚᭴ᚑ㩿ታ㛎㪊㪀ᷓᐲ࿯⾰඙ಽ㩿㫄㪀㪈㪉㪊㪋㪌㪍㪎㪏㪐㪈㪇㪈㪈㪈㪉㪈㪊㪈㪋㪈㪌㪈㪍㪈㪎㪈㪏㪈㪐㩷 㩷 b)ታ㛎 2㩷 㩷 㩷 㩷 㩷
࿑ 2㩷 ࿯⾰ᩇ⁁࿑㪌㪋㪍㪉㪊⍾␕㪉㪍☼࿯㪉⚦⍾㪊⍾ᷙ䈛䉍☼ 㪊࿯㪊㪉㪈⍾␕㪋㪇☼࿯㪍㪕㪌㪇㪕㪌㪇㪕㪌㪇㪕㪌㪇⍾␕㪕㪌㪇㪕㪌㪇㪕㪌㪇㪕㪌㪇⎈⍹䊶⍾ᷙ䈛䉍☼࿯㪇㪥୯㪈㪇 㪉㪇 㪊㪇 㪋㪇c)ታ㛎 3

㹢㹢㹢㹢㹢㹢㹢㹢㩷ᑪ⸳Ꮏ੐ᝄേ䈱࿾⋚ᝄേኻ╷䈫䈠䈱ᝄേૐᷫലᨐ䈮㑐䈜䉎ᬌ⸛㩷㪉㪅㪉 䉸䉟䊦䉶䊜䊮䊃ጊ⇐䉄ო䈱ᝄേታ㛎䋨ታ㛎 㪉䋩㩷㪈㪇㪇㪈㪇㪇ታ㛎㪈

㪏㪇

䉼 450䌭䌭䇮㐳䈘 15䌭䈱䉸䉟䊦䉶䊜䊮䊃ო䈪䈅䉎䋨⴫ 2䋩䇯࿾㪎㪇⋚ᝄേታ㛎䈱᷹ቯὐ䉕࿑ 1 b)䈮䇮ታ㛎႐ᚲ䈱࿯⾰ᩇ⁁࿑䉕࿑ 2 b)䈮␜䈜䇯䉸䉟䊦䉶䊜䊮䊃ო䈲䇮ᷓᐲ 10m䌾14m 䈱N ୯䈏Ყセ⊛ᄢ䈐䈇࿾ጀ䈮ᩮ౉䉏䈘䉏䈩䈇䉎䇯㩷㪉㪅㪊 ⓨḴ䈱ᝄേታ㛎䋨ታ㛎 㪊䋩㩷ታ㛎㪈㪐㪇㪧㪈䋨ടᝄὐ䈎䉌㪉䌭ὐ䋩㪍㪇㪌㪇㪋㪇㪊㪇䌸ᣇะ㩿ᛂ᠄㪀䌹ᣇะ㩿ᛂ᠄㪀䌺ᣇะ㩿ᛂ᠄㪀㫏ᣇะ㩿㪹㪾㫍㪀㫐ᣇะ㩿㪹㪾㫍㪀㪉㪇ⓨḴ䈱ᝄേવ៝ታ㛎䈲䇮⴫ 3 䈮␜䈜ታ㛎䊌䉺䊷䊮䉕ⴕ㪈㪇䈦䈢䇯ⓨḴ䈲᏷⚂ 1䌭䇮㐳䈘 20䌭䈪ᷓ䈘 1䌭䋨એਅⓨḴ 1㪎㪇㪍㪇㪌㪇㪋㪇㪊㪇㪇㪈㪇㪇㪈㪉㪋㪏㪈㪍㪊㪈㪅㪌㪍㪊㪭㪣㪈㪉㪋㪏㪈㪍㪊㪈㪅㪌㪍㪊㪭㪣䉥䉪䉺䊷䊑䊋䊮䊄ਛᔃ๟ᵄᢙ䋨㪟㫑㪀䉥䉪䉺䊷䊑䊋䊮䊄ਛᔃ๟ᵄᢙ䋨㪟㫑㪀Ꮏ䈚䈢䇯ၒ䉄ᚯ䈚䈲䇮ᷓ䈘 2䌭䈱ⓨḴ䈮࿾⴫㕙䉁䈪ᱷ࿯䉕a)㩷 ታ᷹⚿ᨐ䋨ታ㛎 1䋺ടᝄḮ䈎䉌 2䌭ὐ䋩౉䉏䈢䈣䈔䈱⁁ᘒ䋨એਅၒ䉄ᚯ䈚㽲䋩䇮ᦝ䈮ၒ䉄ᚯ䈚ㇱ䉕㪈㪇㪇䊋䉾䉪䊖䉡⿛ⴕ䉇䊋䉬䉾䊃䈮䉋䉍 1 ᤨ㑆⒟ᐲォ࿶䈚䈢⁁ᘒ㪐㪇㪈㪇㪇ታ㛎䋲䋨એਅၒ䉄ᚯ䈚㽳䋩䉕ᣉᎿ䈚䈢䇯᷹ቯὐ䉕࿑ 1 c)䈮䇮ታ㛎႐ᛂ᠄ടᝄታ㛎䋲㪧㪈䋨ടᝄὐ䈎䉌㪉䌭ὐ䋩㪐㪇ᝄേടㅦᐲ䊧䊔䊦䋨䌤㪙㪀䇭㫉㪼㪽㪅㩷㪔㩷㪈㪇㪄㪌 㫄㪆㫊㪉Ყセ⊛ᄢ䈐䈇࿾ጀ䈏⷗䉌䉏䉎䇯㩷§䋳䋮ታ㛎⚿ᨐ㪊㪅㪈 ടᝄḮ䈱ᝄേ․ᕈ㩷㪎㪇㪍㪇㪌㪇㪋㪇㪊㪇䌸ᣇะ㩿ᛂ᠄㪀䌹ᣇะ㩿ᛂ᠄㪀䌺ᣇะ㩿ᛂ᠄㪀㫏ᣇะ㩿㪹㪾㫍㪀㫐ᣇะ㩿㪹㪾㫍㪀㫑ᣇะ㩿㪹㪾㫍㪀㪉㪇ฦታ㛎䈱ኻ╷ᎿᣉᎿ೨䈮䈍䈔䉎ടᝄḮ䈎䉌 2m 䈱ฃᝄ㪈㪇ὐ P1 䈱ᝄേടㅦᐲ䊧䊔䊦๟ᵄᢙ․ᕈ䉕࿑ 3 䈮␜䈜䇯ታ㛎 1䇮2 䈮䈍䈔䉎ᛂ᠄ടᝄ䈮㑐䈚䈩䈲䇮ਔታ㛎౒䈮ห⿛ⴕടᝄ㪧㪈䋨ടᝄὐ䈎䉌㪉䌭ὐ䋩㪏㪇ᝄേടㅦᐲ䊧䊔䊦䋨䌤㪙㪀䇭㫉㪼㪽㪅㩷㪔㩷㪈㪇㪄㪌 㫄㪆㫊㪉㪏㪇ᚲ䈱࿯⾰ᩇ⁁࿑䉕࿑ 2 c)䈮␜䈜䇯ᷓᐲ 3䌭䌾4䌭䈮䌎୯䈏㪎㪇㪍㪇㪌㪇㪋㪇㪊㪇䌸ᣇะ㩿⿛ⴕ㪀䌹ᣇะ㩿⿛ⴕ㪀䌺ᣇะ㩿⿛ⴕ㪀㫏ᣇะ㩿㪹㪾㫍㪀㫐ᣇะ㩿㪹㪾㫍㪀㫑ᣇะ㩿㪹㪾㫍㪀㪉㪇㪈㪇㪇㪇㪈㪉㪋㪏㪈㪍㪊㪈㪅㪌㪍㪊㪭㪣㪈䉥䉪䉺䊷䊑䊋䊮䊄ਛᔃ๟ᵄᢙ䋨㪟㫑㪀᭽䈱๟ᵄᢙ․ᕈ䉕␜䈚䈩䈍䉍䇮᳓ᐔ x 䈫㋦⋥ z ᣇะ䈱ᝄ㪉㪋㪏㪈㪍㪊㪈㪅㪌㪍㪊㪭㪣䉥䉪䉺䊷䊑䊋䊮䊄ਛᔃ๟ᵄᢙ䋨㪟㫑㪀b)㩷 ታ᷹⚿ᨐ䋨ታ㛎䋲䋺ടᝄḮ䈎䉌 2䌭ὐ䋩േ䈲 16Hz䌾63Hz Ꮺၞ䈪ථ⿧䈚䇮᳓ᐔ y ᣇะ䈱ᝄേ䈲㪈㪈㪇㪈㪈㪇

ታ㛎䋳

31.5Hz䌾63Hz Ꮺၞ䈏ථ⿧䈚䈩䈇䉎䋨࿑ 3㩷 a),b)Ꮐ࿑䋩䇯㪈㪇㪇ታ㛎䋳䈱႐ว䇮᳓ᐔ x䇮y ᣇะ䈱ᝄേ䈲 63Hz Ꮺၞ䈪ථ⿧㪐㪇䈚䈩䈍䉍䇮㋦⋥ z ᣇะ䈱ᝄേ䈲 31.5Hz䌾63Hz Ꮺၞ䈏ථ

ᛂ᠄ടᝄ

ታ㛎䋳
㪈㪇㪇

㪧㪈䋨ടᝄḮ䈎䉌䈱㪉䌭ὐ䋩㪐㪇㪯ᣇะ䋨㪧㪈䋩

㪯ᣇะ䋨㪧㪈䋩

⿛ⴕടᝄ䈱႐ว䇮ථ⿧๟ᵄᢙ䈲ᛂ᠄ടᝄ䈫ห᭽䈪䈅䉍䇮ᝄേടㅦᐲ䊧䊔䊦䋨䌤㪙㪀䇭㫉㪼㪽㪔㪈㪇㪄㪌㫄㪆㫊㪉⴮䈚䈩䈇䉎䇯

ᝄേടㅦᐲ䊧䊔䊦䋨䌤㪙㪀䇭㫉㪼㪽㪔㪈㪇㪄㪌㫄㪆㫊㪉ᵄᢙ䉋䉍䉅ૐ๟ᵄᢙᏪၞ䈪䈲⚂ 15dB䋯Oct.䈱൨㈩䈪ᷫ㪰ᣇะ䋨㪧㪈㪀

㪱ᣇะ䋨㪧㪈㪀

㪏㪇㪯ᣇะ䋨㪙㪞㪭䋩
㪰ᣇะ䋨㪙㪞㪭㪀

㪎㪇㪱ᣇะ䋨㪙㪞㪭㪀

㪍㪇㪌㪇㪱ᣇะ䋨㪧㪈㪀

㪏㪇㪯ᣇะ䋨㪙㪞㪭䋩
㪰ᣇะ䋨㪙㪞㪭㪀

㪎㪇㪱ᣇะ䋨㪙㪞㪭㪀

㪍㪇㪌㪇ථ⿧๟ᵄᢙ䉋䉍䉅ૐ๟ᵄᢙᏪၞ䈪䈲ᛂ᠄ടᝄ䉋䉍✭䈇൨㪋㪇㈩䈪ᷫ⴮䈚䈩䈇䉎௑ะ䈏⷗䉌䉏䉎䉅䈱䈱䇮ታ㛎 1 䈪䈲㪊㪇㪊㪇

6.3Hz ઃㄭ䇮ታ㛎 2 䈪䈲 4Hz ઃㄭ䇮ታ㛎䋳䈪䈲 6Hz䌾㪉㪇㪉㪇

10Hz ઃㄭ䈮䈍䈇䈩ᝄേ․ᕈ䈮⇣䈭䉎௑ะ䈏⷗䉌䉏䉎䇯䈖㪈㪇㪋㪇㪈㪇㪈䉏䈲ടᝄḮ䈮↪䈇䈢ᯏ᪾䈱․ᕈ䈫࿾⋚ᕈ⁁䈏ᓇ㗀䈚䈩䈇⿛ⴕടᝄ㪧㪈䋨ടᝄḮ䈎䉌䈱㪉䌭ὐ䋩㪰ᣇะ䋨㪧㪈㪀⿧䈚䈩䈇䉎䋨࿑ 3 䌣)Ꮐ࿑䋩䇯䉁䈢䇮䈇䈝䉏䈱႐ว䉅ථ⿧๟㪉㪋㪏㪈㪍㪊㪈㪅㪌䉥䉪䉺䊷䊑䊋䊮䊄ਛᔃ๟ᵄᢙ䋨㪟㫑㪀㪍㪊㪭㪣㪈㪉㪋㪏㪈㪍㪊㪈㪅㪌䉥䉪䉺䊷䊑䊋䊮䊄ਛᔃ๟ᵄᢙ䋨㪟㫑㪀㪍㪊c)㩷 ታ᷹⚿ᨐ䋨ታ㛎䋳䋺ടᝄḮ䈎䉌 2䌭ὐ䋩
࿑ 3 ᝄേടㅦᐲ䊧䊔䊦๟ᵄᢙ․ᕈ

䉎䈫ᕁ䉒䉏䉎䇯䈭䈍ᝄേḮᲤ䈱 3 ᣇะ䈱ᝄേ䊧䊔䊦 VL 䉕Ყセ䈜䉎䈫䇮ታ㛎 3 䈱ᛂ᠄ടᝄ䈱႐ว䉕㒰䈇䈩䇮ో䈩䈱႐

Lว䈪㋦⋥ z ᣇะ䈏ᦨᄢ䈫䈭䈦䈩䈇䉎䇯

L0  20 n logr
 8.7O ( r  r0 )    (1)ᑼr0㫅 䋺ᐞ૗ᷫ⴮ଥᢙ

㩷㩷㪇㪅㪌䋺⴫㕙ᵄ㪇㪅㪎㪌䋺⴫㕙ᵄ㪂ታ૕ᵄ㩷㪈㪅㪇㩷䋺ታ૕ᵄ㩷㪉㪅㪇䋺࿾⴫㕙䈱ታ૕ᵄ㱗 䋺ౝㇱᷫ⴮ଥᢙ㪇㪅㪇㪈䌾㪇㪅㪇㪉 䋺☼࿯㪇㪅㪇㪉䌾㪇㪅㪇㪊 䋺䉲䊦䊃㪇㪅㪇㪈 䋺㑐᧲䊨䊷䊛㪊㪅㪉 ࿾⋚ᝄേવ៝․ᕈ㩷ኻ╷ᎿᣉᎿ೨䈱㋦⋥ 㫑 ᣇะ䈱ห৻๟ᵄᢙᏪၞ䈱ᛂ᠄䌸ᣇะ㩿⿛ⴕ㪀䌹ᣇะ㩿⿛ⴕ㪀䌺ᣇะ㩿⿛ⴕ㪀㫏ᣇะ㩿㪹㪾㫍㪀㫐ᣇะ㩿㪹㪾㫍㪀㫑ᣇะ㩿㪹㪾㫍㪀㪉㪇㫑ᣇะ㩿㪹㪾㫍㪀䌭䋩䈫䇮ᦝ䈮 1䌭ជ೥䈚䈢 2䌭䋨એਅⓨḴ 2䌭䋩䈱 2 ⒳㘃䉕ᣉ⿛ⴕടᝄ㪧㪈䋨ടᝄὐ䈎䉌㪉䌭ὐ䋩㪏㪇ᝄേടㅦᐲ䊧䊔䊦䋨䌤㪙㪀䇭㫉㪼㪽㪅㩷㪔㩷㪈㪇㪄㪌㫄㪆㫊㪉䉾䉼 900mm䇮㐳䈘 7䌭䈪䇮䉸䉟䊦䉶䊜䊮䊃䈲ᓘ 550㱢䇮䊏䉾ᝄേടㅦᐲ䊧䊔䊦䋨䌤㪙㪀䇭㫉㪼㪽㪅㩷㪔㩷㪈㪇㪄㪌 㫄㪆㫊㪉

ታ㛎 2 䈱ጊ⇐䉄ო䈱઀᭽䈲ᔃ᧚ H396×199×7×11䇮䊏

㪐㪇

ᛂ᠄ടᝄ

ടᝄ䈫⿛ⴕടᝄ䈱ᝄേવ៝․ᕈ䉕Ყセ䈚䈩࿑ 4 䈮␜䈜䇯䋭㪎㪊䋭㪣 䋺ടᝄḮ䈎䉌䌲 㩿㫄㪀䈱ᝄേ䊧䊔䊦㪣 㪇 䋺ടᝄḮ䈎䉌䌲 㪇 㩿㫄㪀䈱ᝄേ䊧䊔䊦㪭㪣䊐䉳䉺ᛛⴚ⎇ⓥႎ๔㩷 ╙ 㪋㪍 ภ࿑ਛὐ✢䇮⎕✢䈲䇮ฃᝄὐ P1 䈱ታ᷹୯䉕ၮḰ䈮䈚䈢႐䈫ᝄേૐᷫലᨐ䉕࿑ 7䌾࿑ 9 䈮␜䈜䇯ᣉᎿ೨䈱ฃᝄὐ P1ว䈱(1)ᑼ䋨Bornitz3䋩䈱⚻㛎ᑼ䋩䈮䉋䉎⸘▚୯䈪䈅䉎䇯䋨ടᝄὐ䈎䉌 2䌭ὐ䋩䈱ᝄേടㅦᐲ䊧䊔䊦䉕ၮḰ䈫䈚䈢⋧ኻ䊧䊔䊦䈪Ყセ䈚䈢䇯(1)ᑼ䈱ᐞ૗ᷫ⴮ଥᢙ n 䈲䇮䈇䈝䉏䈱ታ㛎䈮䈍䈇䈩䉅ᛂ᠄ടᝄ䈱႐ว䇮1.0䌾1.2 ⒟ᐲ䇮⿛ⴕടᝄ䈱႐ว䈲 0.4

ታ㛎 1 䈱ᛂ᠄ടᝄ䈱႐ว䇮3 ᣇะ䋨xyz䋩౒䈮ᝄേ䈲ጊ

䌾0.6 ⒟ᐲ䈪ታ᷹୯䋨࿑ 4 ਛ㩷 㩷 㩷 㩷 䋩䈫⦟䈇ኻᔕ䉕␜䈚䈩䈇⇐䉄ო೨ᓟ䈪ᷫ⴮䈏⷗䉌䉏䈭䈇䇯৻ᣇ䇮⿛ⴕടᝄ䈱႐ว䇮䉎䇯䈖䈱䉋䈉䈮੹࿁䈱ታ㛎䈮䈍䈇䈩䈲䇮๟ᵄᢙᏪၞ䈏ห䈛y ᣇะ䈪䈲ᝄേ䊧䊔䊦䈪 2䌾4dB䇮z ᣇะ䈪 5dB ⒟ᐲ䈱䈪䈅䈦䈩䉅ᝄേḮ䈮䉋䉍ᝄേવ៝․ᕈ䈮㆑䈇䈏⷗䉌䉏䈢䇯ᝄേૐᷫലᨐ䈏ᓧ䉌䉏䈩䈇䉎䉅䈱䈱䇮x ᣇะ䈱ᝄേ䈲ጊ䈖䈱ℂ↱䈫䈚䈩䈲䇮(1)ᑼ䈱ᐞ૗ᷫ⴮ଥᢙ n 䈫ታ᷹୯䈫䈱⇐䉄ო೨ᓟ䈪ᷫ⴮䈏⷗䉌䉏䈭䈇䇯⿛ⴕടᝄ㋦⋥䋨䌺䋩ᣇะኻᔕ㑐ଥ䈎䉌ടᝄḮ䈱㆑䈇䈮䉋䉎⴫㕙ᵄ䈫ታ૕ᵄ䈱ነਈ䈱ᝄേૐᷫലᨐ䉕๟ᵄᢙ೎䋨࿑ 7 ฝ஥࿑䋩䈮⷗䉎䈫䇮㜞๟₸䈱㆑䈇䉇ടᝄḮ䈱ടᝄ㕙Ⓧ䈮䉋䉎ᝄേᷫ⴮௑ะ䈱㆑ᵄᢙ䈮䈭䉎䈮ᓥ䈦䈩䇮ᝄേૐᷫലᨐ䈏ᄢ䈐䈒䈭䈦䈩䈍䉍䇮䈇䈭䈬䈏⠨䈋䉌䉏䉎䇯ᦨᄢ䈪 10dB ⒟ᐲ䈱ᝄേૐᷫ㊂䈏⷗䉌䉏䉎䇯ታ㛎 2 䈱ᛂ᠄ടᝄ䈱႐ว䇮x ᣇะ䈪䈲ᝄേᷫ⴮䈏⷗䉌䈠䈖䈪ታ㛎 1 䈱᧦ઙ䈮ว䉒䈞䈩䇮ടᝄḮ䈱ടᝄ㕙Ⓧ䉕ᄌ䈋䈢႐ว䈱(1)ᑼ䉕↪䈇䈢䉲䊚䊠䊧䊷䉲䊢䊮䉕ታᣉ䈚䈢䇯䉏䈝䇮y ᣇะ䈪䈲ᝄേ䊧䊔䊦ᦨᄢ 9dB䇮z ᣇะ䈪ᦨᄢ䉲䊚䊠䊧䊷䉲䊢䊮䈱⸳ቯ᧦ઙ䈫䈚䈩䇮ᛂ᠄ടᝄ䈱႐ว䈲

7dB ⒟ᐲ䈱ᝄേૐᷫലᨐ䈏䉂䉌䉏䉎䇯ὐടᝄḮ䉕䊋䉬䉾䊃᏷䈮⸳ቯ䈚䇮⿛ⴕടᝄ䈱႐ว䈲⿛ⴕ⿛ⴕടᝄ䈱႐ว䇮䌸ᣇะ䈪䈲ᛂ᠄ടᝄห᭽䈮ᝄേᷫ⴮▸࿐䈱䉨䊞䉺䊏䊤ㇱಽ䈮ὐടᝄḮ䉕ᄙὐ⸳ቯ䈚䈢䋨࿑䋵䋩䇯䈲ዊ䈘䈒䇮䌹ᣇะ䈪䈲ᝄേ䊧䊔䊦ᦨᄢ 10dB ⒟ᐲ䇮䌺ᣇะ䈪䉲䊚䊠䊧䊷䉲䊢䊮䈮૶↪䈚䈢ടᝄḮ䊂䊷䉺䈲䇮ታ㛎䋱䈮䈍䈔䈲ᦨᄢ 13dB ⒟ᐲ䈱ᝄേૐᷫലᨐ䈏⷗䉌䉏䉎䇯㋦⋥䋨䌺䋩䉎 P1 䈱ታ᷹୯䉕↪䈇䇮ᐞ૗ᷫ⴮ଥᢙ䌮䋽1.2䋨ᛂ᠄ടᝄ䇮ᣇะ䈱ᝄേૐᷫലᨐ䉕๟ᵄᢙ೎䋨࿑ 8,9 ฝ஥࿑䋩䈮⷗䉎䈫䇮⿛ⴕടᝄ౒䋩䇮ౝㇱᷫ⴮ଥᢙ㱗䋽0.03 䈫䈚䈢䇯䈇䈝䉏䈱ടᝄḮ䈮䈍䈇䈩䉅 8Hz 䈫 16Hz Ꮺၞ䈪 10dB એᄙὐ౉ജ䉕઒ቯ䈚䈢႐ว䈱䉲䊚䊠䊧䊷䉲䊢䊮⚿ᨐ䉕࿑ 6਄䈱ᄢ䈐䈭ᝄേᷫ⴮䈏ᓧ䉌䉏䈩䈇䉎䇯ૉ䈚䇮ടᝄḮ䈎䉌䈮␜䈜䇯⿛ⴕ䈮䉋䉎ടᝄ䉕㕙ടᝄḮ䋨ὐടᝄḮ䉕ᄙὐ⸳

10m એ਄䈪䈲ᝄേૐᷫലᨐ䈏ዊ䈘䈒䈭䈦䈩䈇䉎䇯䈖䈱ℂቯ䋩䈫઒ቯ䈚䈩䉲䊚䊠䊧䊷䉲䊢䊮䈚䈢⚿ᨐ䈱ᝄേવ៝․ᕈ↱䈫䈚䈩䈲䇮࿾⋚᭴ᚑ䈫ጊ⇐䉄ო⸳⟎䈱㑐ଥ䈏⠨䈋䉌䉏䋨࿑ 6 ਛ㩷 㩷 䋩䈲䇮ታ᷹⚿ᨐ䋨࿑ 4䋩䈫ห᭽䈮(1)ᑼ䈱ᐞ૗ᷫ䉎䇯ታ㛎 3 䈮䈍䈔䉎ⓨḴᣉᎿ೨ᓟ䈱࿾⋚ᝄേવ៝․ᕈ䉕⴮ଥᢙ䌮䈏ᛂ᠄ടᝄ䉋䉍ዊ䈘䈇୯䈪ኻᔕ䈜䉎௑ะ䈏⷗䉌䉏䇮

࿑ 10䇮࿑ 11 䈮␜䈜䇯ታ㛎 1,2 ห᭽䈮ᣉᎿ೨䈱ฃᝄὐ P1

ടᝄ㕙Ⓧ䈱ᓇ㗀䉕ฃ䈔䈩䈇䉎䈖䈫䈏್䉎䇯㩷䈱ᝄേ䉕ၮḰ䈫䈚䈢⋧ኻ䊧䊔䊦䈪Ყセ䈚䈢䇯㪊㪅㪊 ฦኻ╷Ꮏᴺ䈮䉋䉎࿾⋚ᝄേૐᷫലᨐ㩷ᛂ᠄ടᝄ䈱႐ว䋨࿑ 10䋩䇮3 ᣇะో䈩䈮䈍䈇䈩ⓨḴ 2䌭䈱ᝄേૐᷫലᨐ䈏ᦨ䉅ᄢ䈐䈇䇯x䇮y ᣇะ䈲ⓨḴ 1䌭䈫ၒ䉄㪐㪇㪈㪍㪟㫑㪎㪇㪈㪍㪟㫑ᝄേടㅦᐲ䊧䊔䊦䋨䌤㪙㪀ᝄേടㅦᐲ䊧䊔䊦䋨䌤㪙㪀㪏㪇㪈㪇㪇⿛ⴕ䋨ታ᷹䋩ᛂ᠄䋨ታ᷹䋩⸘▚ᑼ㩿㪈㪉㫃㫆㪾㪀⸘▚ᑼ㩿㪉㪋㫃㫆㪾㪀㱗㪔㪇㪅㪇㪊㩿㪈㪀ᑼ䋨㫅㪔㪈㪅㪉㪀㪍㪇㪌㪇㪱ᣇะ㪋㪇㪈㪐㪇㩿㪈㪀ᑼ䋨㫅㪔㪈㪅㪇㪀㪎㪇㪍㪇㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㪈㪇㪇㪱ᣇะታ㛎 2㩿㪈㪀ᑼ䋨㫅㪔㪇㪅㪋㪀㪌㪇㪈㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀⿛ⴕ䋨ታ᷹䋩ᛂ᠄䋨ታ᷹䋩⸘▚ᑼ㩿㪈㪉㫃㫆㪾㪀⸘▚ᑼ㩿㪉㪉㫃㫆㪾㪀㱗㪔㪇㪅㪇㪊㪏㪇ታ㛎 1㩿㪈㪀ᑼ䋨㫅㪔㪇㪅㪍㪀㪐㪇⿛ⴕ䋨ታ᷹䋩ᛂ᠄䋨ታ᷹䋩⸘▚ᑼ㩿㪏䌬㫆㪾㪀⸘▚ᑼ㩿㪉㪇㫃㫆㪾㪀㱗㪔㪇㪅㪇㪉ᝄേടㅦᐲ䊧䊔䊦䋨䌤㪙㪀ታ㛎䋱䇮2 䈮䈍䈔䉎ጊ⇐䉄ოᣉᎿ೨ᓟ䈱ᝄേવ៝․ᕈ

㪈㪇㪇㪏㪇㪊㪈㪅㪌㪟㫑㪎㪇㩿㪈㪀ᑼ䋨㫅㪔㪈㪅㪈㪀㪍㪇㪌㪇㪱ᣇะ㪋㪇㪈ታ㛎 3㩿㪈㪀ᑼ䋨㫅㪔㪇㪅㪍㪀㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㪈㪇㪇࿑ 4 ᝄേવ៝․ᕈ䋨ኻ╷ᎿᣉᎿ೨䋩ኻ╷Ꮏ૏⟎

16 ടᝄὐ߆ࠄߩ〒㔌(m)32㨙

22 2 2 2㨦xy2

2

0
5

8

102 3
22 2 2 2
2.5m

㨦

16 ടᝄὐ߆ࠄߩ〒㔌(m)
32㨙
2

xy2

ᝄേടㅦᐲ䊧䊔䊦㩿㪻㪙㪀

8 105⿛ⴕ▸࿐ 6m

㩔㩨㩃㨹㩎᏷ 1m

2 3

㪈㪍㪟㫑

⿛ⴕടᝄ㩷
࿑ 5㩷 ടᝄḮ⸳ቯ㩷 㩷 㩷 㩷 㩷 㩷 㩷 㩷 㩷 㩷 㩷 㩷 㩷 㩷 㩷ᛂ᠄ടᝄ䋨ᄙὐടᝄ䋩⿛ⴕടᝄ䋨ᄙὐടᝄ䋩⸘▚ᑼ䋨㪈㪍㫃㫆㪾䋩⸘▚ᑼ䋨㪉㪋㫃㫆㪾䋩㪎㪇㩿㪈㪀ᑼ㩿㫅㪔㪈㪅㪉㪀㪍㪇㪌㪇㩿㪈㪀ᑼ㩿㫅㪔㪇㪅㪏㪀㪋㪇ᛂ᠄ടᝄ㩷㱗䋽㪇㪅㪇㪊㪏㪇ὐടᝄḮࠍᄙὐߦ⸳⟎ὐടᝄḮࠍᄙὐߦ⸳⟎0㪐㪇ኻ╷Ꮏ૏⟎㪊㪇㪈㪈㪇㪈㪇㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀࿑ 6 䍚䍮䍋䍸䍎䍚䍌䍻䈮䉋䉎ᝄേવ៝Ყセ䋭㪎㪋䋭ᑪ⸳Ꮏ੐ᝄേ䈱࿾⋚ᝄേኻ╷䈫䈠䈱ᝄേૐᷫലᨐ䈮㑐䈜䉎ᬌ⸛㩷

䌾5dB ⒟ᐲ䈱ᝄേૐᷫലᨐ䈏⷗䉌䉏䉎䇯ᚯ䈚㽲䇮㽳䈱ᝄേૐᷫലᨐ䈏䈾䈫䉖䈬⷗䉌䉏䈭䈇䇯z ᣇะ
䈲ⓨḴ 1m 䈫ၒ䉄ᚯ䈚㽲䈲ห⒟ᐲ䈱ᝄേૐᷫലᨐ䈏⷗䉌䉏䇮ၒ䉄ᚯ䈚㽳䈲ᦝ䈮 1䌾2dB ⒟ᐲૐᷫലᨐ䈏ዊ䈘䈒䈭䈦§䋴䋮䉁䈫䉄

䈩䈇䉎䇯⿛ⴕടᝄ䈱႐ว䋨࿑ 11䋩䇮ᛂ᠄ടᝄ䈫ห᭽䈮 3 ᣇะో੹࿁䈱ታ㛎⚿ᨐ䈎䉌એਅ䈱⍮⷗䈏ᓧ䉌䉏䈢䇯䈩䈮䈍䈇䈩ⓨḴ 2䌭䈱ᝄേૐᷫലᨐ䈏ᄢ䈐䈒䇮ⓨḴ 1䌭䈫(1)ടᝄḮ䈮䉋䉍࿾⋚ᝄേવ៝․ᕈ䈲⇣䈭䉍䇮䈠䈱ℂ↱䈫ၒ䉄ᚯ䈚㽲䇮㽳䈲ห᭽䈱ᝄേ䊧䊔䊦䈪䈅䉍䇮ⓨḴ 2䌭䈱ඨ䈚䈩䈲䇮⴫㕙ᵄ䈫ታ૕ᵄ䈱ነਈ₸䈱㆑䈇䇮ടᝄ㕙Ⓧ䈮ಽ⒟ᐲ䈱ᝄേૐᷫലᨐ䈮䈫䈬䉁䈦䈩䈇䉎䇯䉋䉎ᝄേᷫ⴮௑ะ䈱㆑䈇䈏⠨䈋䉌䉏䉎䇯ⓨḴᣉᎿ೨ᓟ䈱 P3䋨ⓨḴ┵䈎䉌 1䌭䋩䈫 P5䋨ⓨḴ┵䈎䉌(2)ห䈛ኻ╷Ꮏᴺ䈪䈅䈦䈩䉅ടᝄḮ䈮䉋䉍ᝄേૐᷫലᨐ䈏7䌭䋩䈮䈍䈔䉎 z ᣇะ䈱ᝄേടㅦᐲ䊧䊔䊦Ꮕ䋨ᝄേૐᷫല

⇣䈭䉎௑ะ䈏⷗䉌䉏䈢䇯

ᨐ㊂䋩䈱๟ᵄᢙ․ᕈ䉕࿑ 12 䈮␜䈜䇯(3)㍑⍫᧼ო䈮䉋䉎㋦⋥(z)ᣇะᝄേૐᷫലᨐ䈲ᝄേ䊧䊔ⓨḴ 2䌭䈪䈲 10Hz䌾20Hz Ꮺၞ䈪 5䌾10dB䇮25Hz䌾䊦䈪 5dB ⒟ᐲ䈪䈅䉎䇯

63Hz Ꮺၞ䈪 10䌾20dB ⒟ᐲ䈱ᄢ䈐䈭ᝄേૐᷫലᨐ䈏⷗(4)䉸䉟䊦䉶䊜䊮䊃ო䈮䉋䉎㋦⋥(z)ᣇะ䈱ᝄേૐᷫലᨐ䈲䉌䉏䉎䇯৻ᣇ䇮ⓨḴ 1䌭䈫ၒ䉄ᚯ䈚㽲䈲ห᭽䈭௑ะ䈪5䌾10dB ⒟ᐲ䈪䈅䉎䇯

31.5Hz䌾63Hz Ꮺၞ䈱๟ᵄᢙᏪၞ䈮䈍䈇䈩䇮5䌾10dB(5)ᷓ䈘 2䌭⒟ᐲ䈱ⓨḴ䈪䉅䇮ථ⿧๟ᵄᢙ䈏Ყセ⊛㜞䈇․⒟ᐲ䈱ᝄേૐᷫലᨐ䈏⷗䉌䉏䉎䉅䈱䈱䇮20Hz એਅ䈱ૐᕈ䈱ടᝄḮ䈱႐ว䇮ᝄേ䊧䊔䊦䈪 5䌾10dB ⒟ᐲ䈱ᝄ๟ᵄᢙᏪၞ䈪䈲ᝄേૐᷫലᨐ䈲ዊ䈘䈇䇯ᝄേ䊧䊔䊦䈪䈲േૐᷫലᨐ䈏⷗䉌䉏䈢䇯ⓨḴ 2䌭䈪 5䌾10dB ⒟ᐲ䇮ⓨḴ 1䌭෸䈶ၒ䉄ᚯ䈚㽲䈪 2㪈㪇⋧ኻᝄേടㅦᐲ䊧䊔䊦䋨㪈㪇䌤㪙㪆㪛㪠㪭㪀⋧ኻᝄേടㅦᐲ䊧䊔䊦䋨㪈㪇䌤㪙㪆㪛㪠㪭㪀㫑ᣇะ㫑ᣇะ㫏ᣇะ㫏ᣇะᛂ᠄ടᝄ䌹ᣇะᛂ᠄㪈⿛ⴕടᝄ⿛ⴕ㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㍑⍫᧼ოᣉᎿ೨ᣉᎿᓟ㪭㪣㪈㪇㪇ᝄേടㅦᐲ䊧䊔䊦ᷫ⴮㊂䋨䌤㪙㪀㍑⍫᧼ოᣉᎿ೨ᣉᎿᓟ㪭㪣㪈䌹ᣇะ㪧㪈ၮḰ⿛ⴕ䌺ᣇะ㪇㪄㪈㪇㍑⍫᧼ო㪋㪟㫑㪏㪟㫑㪈㪍㪟㫑㪊㪈㪅㪌㪟㫑㪍㪊㪟㫑㪭㪣㪄㪉㪇ᝄേૐᷫലᨐ䋨ᣉᎿᓟ㪄ᣉᎿ೨䋩㪄㪊㪇㪄㪋㪇㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㪈㪈㪇㪇㪈㪇㪈㪇㪇ടᝄὐ䈎䉌䈱〒㔌䋨䌭䋩࿑ 7 ጊ⇐߼ოᣉᎿ೨ᓟߩ࿾⋚ᝄേવ៝․ᕈ෸߮ᝄേૐᷫലᨐ㧔ታ㛎 1㧦㍑⍫᧼ო㧕㪈㪇㩷䌸ᣇะ㩷䌹ᣇะታ㛎 2ᛂ᠄䌐㪈ၮḰ䉸䉟䊦䉶䊜䊮䊃ოᣉᎿ೨ᣉᎿᓟ⋧ኻᝄേടㅦᐲ䊧䊔䊦䋨㪈㪇䌤㪙㪆㪛㪠㪭㪀⋧ኻᝄേടㅦᐲ䊧䊔䊦䋨㪈㪇䌤㪙㪆㪛㪠㪭䋩㪭㪣ᝄേടㅦᐲ䊧䊔䊦ᷫ⴮㊂䋨䌤㪙㪀䉸䉟䊦䉶䊜䊮䊃ოᣉᎿ೨ᣉᎿᓟ㪭㪣ታ㛎 2ᛂ᠄㩷䌺ᣇะᛂ᠄㩷䌺ᣇะ㪇㪄㪈㪇䉸䉟䊦䉶䊜䊮䊃ო㪋㪟㫑㪏㪟㫑㪈㪍㪟㫑㪊㪈㪅㪌㪟㫑㪍㪊㪟㫑㪭㪣ታ㛎 2㪄㪉㪇㪄㪊㪇ᝄേૐᷫലᨐ䋨ᣉᎿᓟ㪄ᣉᎿ೨䋩㪄㪋㪇㪈㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㪈㪇㪇㪈㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㪈㪇㪇㪈㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㪈㪇㪇࿑ 8 ጊ⇐߼ოᣉᎿ೨ᓟߩ࿾⋚ᝄേવ៝․ᕈ෸߮ᝄേૐᷫലᨐ㧔ታ㛎 2㧦࠰ࠗ࡞࠮ࡔࡦ࠻ო ࡃࠤ࠶࠻ᛂ᠄㧕䉸䉟䊦䉶䊜䊮䊃ოᣉᎿ೨ᣉᎿᓟ⋧ኻᝄേടㅦᐲ䊧䊔䊦䋨㪈㪇䌤㪙㪆㪛㪠㪭㪀⋧ኻᝄേടㅦᐲ䊧䊔䊦䋨㪈㪇䌤㪙㪆㪛㪠㪭㪀㫏ᣇะ䌹ᣇะታ㛎 2⿛ⴕ㪈㪇㪭㪣䉸䉟䊦䉶䊜䊮䊃ოᣉᎿ೨ᣉᎿᓟ

ᝄേടㅦᐲ䊧䊔䊦ᷫ⴮㊂䋨䌤㪙㪀㪭㪣ታ㛎 2⿛ⴕ㩷䌺ᣇะ㪧㪈ၮḰ⿛ⴕ㩷䌺ᣇะ㪇㪄㪈㪇ታ㛎 2㪄㪉㪇㪄㪊㪇ᝄേૐᷫലᨐ䋨ᣉᎿᓟ㪄ᣉᎿ೨䋩䉸䉟䊦䉶䊜䊮䊃ო㪋㪟㫑㪏㪟㫑㪈㪍㪟㫑㪊㪈㪅㪌㪟㫑㪍㪊㪟㫑㪭㪣㪄㪋㪇㪈㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㪈㪇㪇㪈㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㪈㪇㪇㪈㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀࿑ 9 ጊ⇐߼ოᣉᎿ೨ᓟߩ࿾⋚ᝄേવ៝․ᕈ෸߮ᝄേૐᷫലᨐ㧔ታ㛎 2㧦࠰ࠗ࡞࠮ࡔࡦ࠻ო ࡃ࠶ࠢࡎ࠙⿛ⴕ㧕䋭㪎㪌䋭㪈㪇㪇䊐䉳䉺ᛛⴚ⎇ⓥႎ๔㩷 ╙ 㪋㪍 ภᝄേ䊧䊔䊦㪈㪇䌤㪙㪆㪛㪠㪭ᝄേ䊧䊔䊦㪈㪇䌤㪙㪆㪛㪠㪭㨤ᣇะ㧔ᛂ᠄㧕㪈ⓨḴ૏⟎ⓨḴ䈭䈚ⓨḴ㪈䌭ⓨḴ㪉㫄ၒ䉄ᚯ䈚㽲ၒ䉄ᚯ䈚㽳㪭㪣㨥ᣇะ㧔ᛂ᠄㧕㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㪈㪇㪇㪈ⓨḴ૏⟎ⓨḴ䈭䈚ⓨḴ㪈䌭ⓨḴ㪉㫄ၒ䉄ᚯ䈚㽲ၒ䉄ᚯ䈚㽳㪭㪣ᝄേ䊧䊔䊦㪈㪇䌤㪙㪆㪛㪠㪭ⓨḴ૏⟎ⓨḴ䈭䈚ⓨḴ㪈䌭ⓨḴ㪉㫄ၒ䉄ᚯ䈚㽲ၒ䉄ᚯ䈚㽳㪭㪣㨦ᣇะ㧔ᛂ᠄㧕㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㪈㪈㪇㪇㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㪈㪇㪇࿑ 10 ࿾⋚ᝄേવ៝․ᕈ㧔ࡃࠤ࠶࠻ᛂ᠄ടᝄᤨᝄേ࡟ࡌ࡞㧕ᝄേ䊧䊔䊦㪈㪇䌤㪙㪆㪛㪠㪭ᝄേ䊧䊔䊦㪈㪇䌤㪙㪆㪛㪠㪭㨤ᣇะ㧔⿛ⴕ㧕㪈ⓨḴ૏⟎ⓨḴ䈭䈚ⓨḴ㪈䌭ⓨḴ㪉㫄ၒ䉄ᚯ䈚㽲ၒ䉄ᚯ䈚㽳㪭㪣㨦ᣇะ㧔⿛ⴕ㧕㨥ᣇะ㧔⿛ⴕ㧕㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㪈㪈㪇㪇ⓨḴ૏⟎
ⓨḴ䈭䈚
ⓨḴ㪈䌭
ⓨḴ㪉㫄ၒ䉄ᚯ䈚㽲ၒ䉄ᚯ䈚㽳㪭㪣ᝄേ䊧䊔䊦㪈㪇䌤㪙㪆㪛㪠㪭ⓨḴ૏⟎ⓨḴ䈭䈚ⓨḴ㪈䌭ⓨḴ㪉㫄ၒ䉄ᚯ䈚㽲ၒ䉄ᚯ䈚㽳㪭㪣㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㪈㪇㪇㪈㪈㪇ടᝄὐ䈎䉌䈱〒㔌㩿㫄㪀㪈㪇㪇࿑ 11 ࿾⋚ᝄേવ៝․ᕈ㧔ࡃ࠶ࠢࡎ࠙⿛ⴕടᝄᤨᝄേ࡟ࡌ࡞㧕ᷫ⴮㪄㪈㪇㪧㪊䋨ⓨḴ䈎䉌㪈㫄䋩ᛂ᠄㪄㪉㪇㪋㪌㪍㪅㪊㪏㪈㪇 㪈㪉㪅㪌 㪈㪍 㪉㪇 㪉㪌 㪊㪈㪅㪌 㪋㪇 㪌㪇㪈㪆㪊䉥䉪䉺䊷䊑䊋䊮䊄ਛᔃ๟ᵄᢙ䋨㪟㫑㪀㪍㪊㪏㪇㪭㪣䇭䇭䇭䇭䇰䇭䇭䇭䇭䇭䇭⿛ⴕ㪋㪌㪍㪅㪊㪏ᷫ⴮㪄㪈㪇㪧㪊䋨ⓨḴ䈎䉌㪈㫄䋩ᛂ᠄䇭䇭䇭䇭䇰䇭䇭䇭䇭䇭䇭⿛ⴕ㪧㪌䋨ⓨḴ䈎䉌㪎㫄䋩ᛂ᠄䇭䇭䇭䇭䇰䇭䇭䇭䇭䇭䇭⿛ⴕ㪄㪉㪇䇭䇭䇭䇭䇰䇭䇭䇭䇭䇭䇭⿛ⴕ㪧㪌䋨ⓨḴ䈎䉌㪎㫄䋩ᛂ᠄㪄㪊㪇㪄㪊㪇ᝄേૐᷫലᨐ䋨㪻㪙䋩㪧㪋䋨ⓨḴ䈎䉌㪈㫄䋩ᛂ᠄䇭䇭䇭䇭䇰䇭䇭䇭䇭䇭䇭⿛ⴕ㪧㪍䋨ⓨḴ䈎䉌㪎㫄䋩ᛂ᠄䇭䇭䇭䇭䇰䇭䇭䇭䇭䇭䇭⿛ⴕ㪄㪉㪇ᝄേૐᷫലᨐ䋨㪻㪙䋩ᷫ⴮㪄㪈㪇Ⴧ᏷㪇㪇㪇ၒ䉄ᚯ䈚㽲䇭㪱ᣇะჇ᏷ⓨḴ㪈䌭䇭㪱ᣇะჇ᏷ⓨḴ㪉䌭䇭㪱ᣇะᝄേૐᷫലᨐ䋨㪻㪙䋩㪈㪇㪈㪇㪈㪇㪄㪊㪇㪈㪇 㪈㪉㪅㪌 㪈㪍 㪉㪇 㪉㪌 㪊㪈㪅㪌 㪋㪇 㪌㪇㪈㪆㪊䉥䉪䉺䊷䊑䊋䊮䊄ਛᔃ๟ᵄᢙ䋨㪟㫑㪀㪍㪊㪏㪇㪭㪣㪋㪌㪍㪅㪊㪏㪈㪇 㪈㪉㪅㪌 㪈㪍 㪉㪇 㪉㪌 㪊㪈㪅㪌 㪋㪇 㪌㪇㪈㪆㪊䉥䉪䉺䊷䊑䊋䊮䊄ਛᔃ๟ᵄᢙ䋨㪟㫑㪀㪍㪊㪏㪇㪭㪣࿑ 12 ᝄേૐᷫലᨐ㊂㧔๟ᵄᢙ․ᕈ㧕㪋䋩ዊ⼱䇮✎⼱䇮ṭᚭ䋺ጊ⇐䉄ო䈱࿾⋚ᝄേૐᷫലᨐ䈮(6)2䌭ជ೥ᓟ䈮ၒ䉄ᚯ䈚䈩䉅䇮ᷓ䈘 1䌭䈱ⓨḴ䈫ห⒟ᐲ䈱2䌾5dB 䈱ᝄേૐᷫലᨐ䈏䈅䉎䈖䈫䈏್䉍䇮ၒ䉄ᚯ䈜䈖㑐䈜䉎ᝄേવ៝ታ㛎㩷 ᣣᧄᑪ▽ቇળᄢળቇⴚ⻠Ṷ䈫䈮䉋䉍⃻႐䈪䈱㐿ญㇱ㙃↢䈭䈬䈲ਇⷐ䈮䈭䉎䈫ᕁ䉒᪪᭎㓸 㪉㪇㪇㪐㪅㪏㩷㪌䋩ᣧᎹ㩷 ᷡ䋺࿾⋚ᝄേ䈱વ៝ㆊ⒟䈮䈍䈔䉎㒐ᱛኻ╷䈱䉏䉎䈏䇮ᤨ㑆⚻ㆊ╬䈪✦䉄࿕䉄䈏ᒝ䈒䈭䉎䈫䇮ᝄേૐ⢛᥊䈫േะ㩷 ᣣᧄ㖸㗀ቇળ⹹ 㪌㪌 Ꮞ 㪍 ภ䋨㪈㪐㪐㪐䋩㩷ᷫലᨐ䈲ዊ䈘䈒䈭䉎䈫⠨䈋䉌䉏䉎䇯㪍䋩ዊ⼱䇮✎⼱䇮ṭᚭ䋺ⓨḴ䈱࿾⋚ᝄേૐᷫലᨐ䈮㑐䈜੹ᓟ䇮࿾⋚᭴ᚑ䈱㆑䈉䉬䊷䉴䈭䈬ታ㛎䊂䊷䉺䉕⫾Ⓧ䈜䉎䉎ᝄേવ៝ታ㛎㩷 ᣣᧄᑪ▽ቇળᄢળቇⴚ⻠Ṷ᪪᭎䈫౒䈮ᢙ୯⸃ᨆ䈪䈱ᬌ⸛䉕ⴕ䈦䈩䈇䈒੍ቯ䈪䈅䉎䇯㩷㓸 㪉㪇㪈㪇㪅㪐㩷㩷㩷䈵 䈫 䈖 䈫 㩷ෳ ⠨ ᢥ ₂㩷㪈䋩଀䈋䈳㩷 㐳Ἇ䇮ᯅ⹣ઁ䋺࿾ਛო䈮䉋䉎ᝄേૐᷫኻ╷㪄㩷 ᑪ⸳Ꮏ੐ᝄേ䈲䇮ᝄേḮ஥䈪䈱ኻ䈠䈱 㪈䇮䈠䈱 㪉㩷 ╙ 㪉㪏 ࿁࿯⾰Ꮏቇ⎇ⓥ⊒⴫ળ᭎ⷐ㓸㩷╷䈮㒢⇇䈏䈅䉍䇮ᝄേવ៝⚻〝䈮䈍㪈㪐㪐㪊㩷䈇䈩ㆡಾ䈭ኻ╷䈏ᔅⷐ䈮䈭䉎䇯੹࿁䇮㪉㪀⮮᎑㪃᫪ਅ㪃Ꮣᒁઁ䋺⃻႐ᝄേታ㛎䈮䉋䉎࿾ਛ㒐ᝄოᝄേવ៝⚻〝䈮䈍䈔䉎৻⥸⊛䈭ኻ䈱ᝄേૐᷫലᨐᣣᧄᑪ▽ቇળᄢળቇⴚ⻠Ṷ᪪᭎╷Ꮏᴺ䈮䉋䉎ᝄേૐᷫ ല ᨐ䉕⃻႐㓸 㪉㪇㪇㪍㪅㪐㩷ዊ⼱ ᦮ᄩ⾆㪊㪀㪙㫆㫉㫅㫀㫋㫑㪃㪞㪅㪑㩷 㬒㪹㪼㫉㩷 㪻㫀㪼㩷 㪘㫌㫊㪹㫉㪼㫀㫋㫌㫅㪾㩷 㪻㪼㫉㫍㫆㫅㩷 㪞㫉㫆㫊㫊㫂㫆㫃㪹㩷㪼㫅㫄㪸㫊㪺㪿㫀㫅㪼㫅㩷㪼㫉㫌㫑㪼㫌㪾㫋㪼㫅㩷 㩷 㪙㫆㪻㪼㫅㫊㪺㪿㫎㫀㫅㪾㫌㫅㪾㪼㫅㩷㫀㫅㩷㪻㫀㪼㩷㪫㫀㪼㪽㪼㪃㩷㪡㪅㩷㪪㫇㫉㫀㫅㪾㪼㫉㩷㩿㪙㪼㫉㫃㫀㫅㪀㩷㪈㪐㪊㪈㩷䋭㪎㪍䋭ታ㛎䈮䉋䉍ቯ㊂⊛䈮ᛠី䈚䈢䇯੹ᓟ䈲ᦝ䈮ᬌ⸛䉕ㅴ䉄䈩↹ᦼ⊛䈭ᝄേૐᷫᎿᴺ䉕㐿⊒䈚䈩䈇䈐䈢䈇䇯㩷