ታଏ↪⩄㊀ਅߦ߅ߌࠆᯅㅢᝄേߣߘࠇߦ࿃ߔࠆૐᵄ㖸
Low Frequency Sound Radiated from a Bridge under in-service Environments ᴡ↰⋥᮸*㧘Ꮉ⼱ల㇢**㧘㊄ ື***㧘㜞ᵗᐔ****
Naoki Kawada, Mitsuo Kawatani, Chul-Woo Kim, Yohei Takami
*ඳ(Ꮏ), ᩣᑼળ␠ࠛࠬ ၮ⋚ᢛᧄㇱ (ޥ600-8133 ੩ㇺᏒਅ੩৾᧦ㅢട⨃Ꮉ╭Ⓑ⩄↸458)
**Ꮏඳ, ᚭᄢቇᄢቇ㒮 Ꮏቇ⎇ⓥ⑼ ᢎ (ޥ657-8501 ᚭᏒἥ↲บ↸1-1)
***ඳ(Ꮏ), ੩ㇺᄢቇᄢቇ㒮 Ꮏቇ⎇ⓥ⑼ ᢎ (ޥ615-8540 ੩ㇺᏒ੩੩ㇺᄢቇ᩵)
****ᚭᄢቇᄢቇ㒮 Ꮏቇ⎇ⓥ⑼ ቇ↢ (ޥ657-8501 ᚭᏒἥ↲บ↸1-1)
This paper discusses about a field experiment focusing on the low frequency sound radiated from a viaduct. Analytical results taken from a traffic-induced vibration analysis and boundary element method are also discussed.
Observations demonstrate that analytical sound pressure levels in frequency domain show similar tendency with those of experimental ones, even though analytical results do not perfectly match with experimental ones. The propagation of the sound pressure taken from the analysis reveals that the distribution of the sound pressure level at lower frequency below 10Hz is greatly affected by the vibration of bridge’s entirely motion. On the other hand, the sound pressure level over 10Hz is affected by vibrations of the bridge decks.
Key Words: traffic-induced vibration of bridge, Low frequency sound, Boundary element method, in-service environments
ࠠࡢ࠼㧦ᯅㅢᝄേ㧘ૐᵄ㖸㧘Ⴚ⇇ⷐ⚛ᴺ
,ଏ↪⩄㊀
㧚ߪߓߦ
ᯅߩㅢᝄേߦߐࠇࠆૐᵄ㖸ߪ㧘ዬ
ၞߦㄭធߒߡ㜞᨞ᯅ߇ᑪ⸳ߐࠇࠆࠤࠬߩᄙᚒ߇࿖ߢ ߪ㧘ⅣႺ㗴ߩ৻ߟߣߒߡ㜞㑐ᔃ߇ነߖࠄࠇߡࠆ㧚
৻⥸ߦ〝ⅣႺߦ߅ߌࠆ㛍㖸㗴ߣߒߡ㧘ゞਔߩࠛࡦ
ࠫࡦ㖸߿࠲ࠗࡗォേ㖸߇৻⥸⊛ߢࠆ߇㧘ૐᵄ㖸ߪᯅ
ࠍゞਔ߇ㅢㆊߔࠆ㓙ߦᯅㇱᎿ߆ࠄⓨ᳇ᝄേߣߒ ߡߐࠇ㧘ᵄᢙ߇ዊߐߘߩ․ᕈ߆ࠄ᭽ޘߥⅣႺ
㗴ࠍᒁ߈ߎߔ㧚߃߫㧘ᑪౕ╬߇ᝄേߔࠆߥߤߩ‛⊛
ᓇ㗀߿㧘ᝄേᗵ߿㗡∩㧘ฯ߈᳇╬߇߽ߚࠄߐࠇࠆᔃℂ⊛
↢ℂ⊛ᓇ㗀╬߇ࠆ1㨪3)㧚
߹ߚ㧘ૐᵄ㖸ߪ㕙߿ㅘㆊᤨߩๆ㖸ߦࠃࠆૐᷫല ᨐߪૐߊ㧘߹ߚᵄ㐳߇㐳ߎߣ߆ࠄኈᤃߦ࿁᛬ߔࠆ㧚ߘ ߩߎߣ߆ࠄ㧘৻⥸㛍㖸ߦኻߒߡ↪ࠄࠇࠆㆤ㖸ო╬ߩવ
៝⚻〝ኻ╷ߦኻߒߡ㧘⊒↢Ḯኻ╷ߣߒߡᯅߩᝄേࠍ ૐᷫߐߖࠆኻ╷߇ណ↪ߐࠇࠆߎߣ߇ᄙ 4)㧚ߒ߆ߒߥ߇ ࠄ㧘ᯅ߆ࠄߐࠇࠆૐᵄ㖸ߪ߹ߛᧂ⸃ߥㇱಽ߇ ᄙߊ㧘ᯅㅢᝄേߘߩ߽ߩ߇ᯅ⒳߿࡚ࠫࠗࡦ࠻ߩ᭴ㅧ㧘
〝㕙ಳಲ㧘ゞਔㅦᐲ߿㊀㊂ߦࠃࠅ৻᭽ߢߪߥߚ㧘
ㄝߩ㖸႐ࠍ◲ᤃ⊛ߦផቯߔࠆߎߣ߇㔍ߒߊ㧘ߘࠇߦ
ኻ╷߇ㆃࠇߡࠆߩ߇ታᖱߢࠆ㧚ㄝ᳃߅ࠃ߮〝
▤ℂ⠪߽ലᨐ⊛ߥ㛍㖸ૐᷫኻ╷ߩ⏕┙ࠍᦸࠎߢࠆ߇㧘
Ბ㓏ߢߪฦᲤߦ㧘ޘߦ᷹ቯ⸃ᨆኻ╷ࠍ➅ࠅ
ߒ㧘ߘߩߩⓍߺ㊀ߨ߆ࠄ್ᢿߒߡߊߒ߆ߥߩ ߇⁁ߢࠆ㧚
ᧄ⎇ⓥߢߪ㧘ߘߩࠃ߁ߥ⢛᥊߆ࠄ㧘ታଏ↪ਅߢߩㅢ ᝄേߣ㖸ߩታᘒࠍᛠីߔࠆߎߣࠍ⋡⊛ߦ㧘ᑪ⸳ᓟ㑆
߽ߥ7ᓘ㑆ㅪ⛯ࡔࡦ▫ᩴᯅࠍኻ⽎ߦ㧘⸘᷹߅ ࠃ߮ૐᵄ㖸⸃ᨆࠍታᣉߒߚ㧚ૐᵄ㖸⸃ᨆߪ೨ߦ
ㅢᝄേ⸃ᨆࠍታᣉߒ㧘ߘߩ⚿ᨐࠍరߦߔࠆ㖸ࠍ⸃
ᨆߔࠆ㧚ߘߩߚ㧘⸘᷹ߦߚߞߡߪ㧘ૐᵄ㖸ߩ
ઁ㧘ᯅߩᝄേ⁁ᘒߩ⏕ߩᔅⷐ߆ࠄ㧘ᯅߩടㅦᐲᔕ
╵ߦߟߡ߽⸘᷹ߔࠆ㧚
ߥ߅㧘ኻ⽎ߣߔࠆᯅㄭறߢߪታ㓙ߦ㛍㖸㗴߇㗼
ൻߪߒߡߥ߇㧘ᓟㅀߔࠆࠃ߁ߦᐢ᭴ㅧߩᯅߢ
ࠅߥ߇ࠄ㧝ᧄᩇᒻᑼߢᡰᜬߐࠇߡࠆᯅᒻᑼߢࠆߎ ߣ߿㧘ᕈߩૐ㍑ᐥ ࠍណ↪ߒߡ߅ࠅ㧘ᒛߒ㐳ߩ㐳
ᐥ ߩዪㇱ⊛ߥᝄേߩᓇ㗀㧘߹ߚߘࠇࠄߩૐᵄ㖸ߦ
߷ߔᓇ㗀ࠍ⏕ߔࠆߚᧄ⎇ⓥߦ⥋ߞߚ㧚
㧚㛍㖸ᝄേ⸘᷹⚿ᨐ
㧚ኻ⽎ᯅ
ᧄ⎇ⓥߦ߅ߡኻ⽎ߣߔࠆᯅߩ৻⥸࿑ࠍ࿑㧙1 ߦ␜
ߔ㧚⚂5%ߩ❑ᢿ൨㈩ࠍߒ㧘P3-P4㑆ߢ〝ࠍ〙ߋ㧘ᯅ
㐳265.0mߩ7ᓘ㑆ㅪ⛯㍑ᐥ ▫ᩴᯅߢࠆ㧚
ਅ✢ฦޘ2ゞ✢ࠍߔࠆຬ17.25mߩᐢ᭴ㅧࠍ2
▫ᩴߢᡰᜬߒ㧘ᐥ ߩᒛࠅߒ㐳ߪ3mࠍ߃ࠆ㧚߹ߚ㧘
ㇱᎿߣਅㇱᎿ㧔㍑ᯅ⣉㧕ߣߪ⚿ߐࠇߚ㧘7 ᓘ㑆ㅪ
⛯ߩࡔࡦᒻᑼ߇ណ↪ߐࠇߡࠆ㧚
㧚⸘᷹
ᧄ⎇ⓥߢߪ㧘ኻ⽎ᯅߩᝄേ․ᕈ߿㖸ᕈ⁁ࠍ⏕
ߔࠆߚ㧘ᯅߩടㅦᐲᔕ╵߅ࠃ߮ૐᵄ㖸㖸ࡌ࡞
ࠍ⸘᷹ߒߚ㧚ߥ߅㧘᷹ቯߪ৻⥸ゞਔⴕਅߩ10ಽ㑆
⸘᷹ࠍⴕߞߚ㧚⸘᷹ࡐࠗࡦ࠻ߪ㧘ടㅦᐲᔕ╵ߣߒߡ࿑㧙
1(a)ߦ߅ߌࠆAC-1㨪6ߩว⸘6ὐ㧘ૐᵄ㖸㖸ࡌ࡞
ߪSLM1߅ࠃ߮SLM2ߩ2ὐ⸘᷹ߒߚ㧚ߥ߅㧘ૐᵄ㖸 ߪᯅ߆ࠄ10m㔌ࠇߚቭ᳃Ⴚ⇇ὐㄭறߢ㧘1.2m ߩ㖸ࡌ࡞ࠍ⸘᷹ߒߡࠆ㧚
ߎߎߢ㧘⸘᷹ᤨߦㅢㆊߒߚゞਔߩ㊀㊂߿ߒゞ㑆〒
㔌ߥߤߩ᧦ઙߪਇߢࠆ߇㧘᷹ቯਛߪ࿑㧙2 ߦ␜ߔࠃ ߁ߦ㧘ゞਔⴕ⁁ᴫࠍࡆ࠺ࠝࠞࡔߦߡ⸥㍳ߒ㧘ゞਔ
ⴕ⟎߿ゞਔ࠲ࠗࡊߥߤ㧘ᓟㅀߔࠆ⸃ᨆߦ߅ߌࠆ್ᢿ᧚ ᢱߣߒߚ㧚
ᧄ⎇ⓥߢߪ㧘ᯅߩ․ᓽߢࠆᐢ᭴ㅧߢࠅߥ߇ࠄ 1 ᧄᩇߩࡔࡦ᭴ㅧߢࠆߎߣߣ㧘ᯅߩᝄേ߿ߘࠇ ߦ߁ૐᵄ㖸ߩ․ᓽࠍࠄ߆ߦߔࠆߎߣࠍ⋡⊛ߣߒߡ ߅ࠅ㧘⌕⋡ߔࠆ㖸ࡌ࡞ߪ㧘1/3 ࠝࠢ࠲ࡉࡃࡦ࠼ਛ ᔃᵄᢙߦ߅ߌࠆ3.15Hz㧘4.0Hz㧘5.0Hz㧘12.5Hz㧘16Hz㧘 25.0Hz㧘40.0Hz ߣߔࠆ㧚ߎࠇߪ㧘ᓟㅀߔࠆᯅ࿕୯
⸃ᨆ⚿ᨐߦ߅ߡ⏕ߐࠇߚ㧘3Hz㨪5Hzㄭறߩᯅߩ (a) 㕙࿑ᐔ㕙࿑⸘᷹ὐ
(b) ㇱᎿᮡḰᢿ㕙࿑
(c) ᯅ⣉⟎ㇱᎿᢿ㕙࿑
࿑㧙1 ኻ⽎ᯅ
㧙1 ⸘᷹ὐ৻ⷩ
ടㅦᐲᔕ╵⸘᷹⟎
AC1 P2ࠃࠅL3/4ὐ㧔ਅࠅ✢㧕 AC2 ╙3ᓘ㑆ਛᄩ㧔ਅࠅ✢㧕 AC3 P2ࠃࠅ3L3/4ὐ㧔ਅࠅ✢㧕 AC4 ╙3ᓘ㑆ਛᄩ㧔ࠅ✢㧕 AC5 ╙2ᓘ㑆ਛᄩ㧔ਅࠅ✢㧕
AC6 ╙2ᓘ㑆ਛᄩᒛࠅߒᐥ ㇱ㧔ਅࠅ✢㧕 ૐᵄ㖸⸘᷹ὐ
SLM1 ╙3ᓘ㑆 ਅࠅ✢ቭ᳃Ⴚ⇇ㄭற
SLM2 ╙2ᓘ㑆 ਅࠅ✢ቭ᳃Ⴚ⇇ㄭற
AC㧦㋦⋥ടㅦᐲ
SLM㧦ૐᵄ㖸㖸ࡌ࡞
L㧦ᡰ㑆㐳
࿑㧙2 ৻⥸ゞਔⴕ⁁ᴫ
ᦛߍ߿ߨߓࠇ㧘߹ߚ11Hz㨪25Hzߩᒛࠅߒᐥ ߩዪㇱ
⊛ߥᦛߍ㑐ߔࠆߦ࿕ᝄേᢙߦ⋧ᒰߔࠆ㧚ߥ߅㧘⸘᷹⚿
ᨐߩ⹏ଔߪᄢဳゞਔ߇ㅢㆊߔࠆ㑆ߩ㖸ࡌ࡞ߦ⌕⋡ߔ ࠆ߇㧘1Hz߿2Hzߣߞߚૐᵄᢙߩ㖸ࡌ࡞ߪ ゞਔㅢㆊߦ߁㘑ߩᓇ㗀߇⠨߃ࠄࠇࠆߚᧄ⎇ⓥߢߪ
⼏⺰ߒߥ㧚
ૐᵄ㖸ߩⅣႺ⹏ଔၮḰ୯ߦߟߡߪ⏕ߦߪ⏕┙ߐ ࠇߡߥ߇㧘৻⥸ߦ߇ߚߟ߈㖸⊒↢㒢⇇߅ࠃ߮ᦨዊน
⡬୯ߣߩᲧセߢߘߩᓇ㗀ࠍᛠីߔࠆߎߣ߇ߢ߈ࠆ㧚࿑㧙 3 ߦߘࠇߙࠇߩ㑣୯߅ࠃ߮ห࿑ਛߦ␜ߐࠇࠆ㗔ၞΣ㨪Φ ߩౝኈࠍ㧙2 ߦ␜ߔ㧚ᧄ⎇ⓥߢߪૐᵄ㖸᷹ቯ⚿ᨐ߿
⸃ᨆ⚿ᨐ㖸ࡌ࡞ߦߪߎߩ㑣୯ࠍࠊߖߡ␜ߔ㧚
㧚⸘᷹⚿ᨐ
╙3ᓘ㑆ߩૐᵄ㖸᷹ቯ⚿ᨐ㧔SLM1㧕ࠍ࿑㧙4ߦ␜ߔ㧚
⌕⋡ߔࠆᵄᢙᲤߦ㖸ࡌ࡞߇ᄢ߈ 10 ࠬ࠹࠶
ࡊࠍߒߡࠆ㧚3.15Hz㨪5.00Hzߢߪ߇ߚߟ߈㖸⊒↢
㒢⇇୯ࠍㆊߒ㧘㗔ၞ㧔Υ㧕ߦ㆐ߔࠆ㖸ࡌ࡞߇᷹ⷰ
ߐࠇߡࠆ㧚߹ߚห᭽ߦ㧘12.5Hzߦߟߡ߽㧘࿑㧙4 (a)㧘 (d)㧘(e)㧘(f)㧘(g)ߢߪ㗔ၞ㧔Υ㧕ߦ㆐ߒߡࠆ㧚ߐࠄߦ㧘 25Hzㄭறߦ⌕⋡ߔࠆߣ㧘࿑㧙4 (c)㨪(g)ߢߪ㗔ၞ㧔Φ㧕߹
ߢ㆐ߒߡ߅ࠅ㧘߇ߚߟ߈㖸⊒↢㒢⇇୯߅ࠃ߮ᦨዊน⡬୯ ࠍㆊߒߡࠆ㧚ථߔࠆߎߩ12.5Hz㧘25Hzߩᝄേᢙߪ㧘 ゞਔߩ߫ߨਅߩ࿕ᝄേᢙ㧘ᒛࠅߒᐥ ߩ࿕ᝄേᢙ
ߦ߶߷৻⥌ߒߡ߅ࠅ㧘ߘߩᓇ㗀߇ࠇߚ߽ߩߣផ᷹ߐࠇ ࠆ㧚એߩࠃ߁ߦ㧘ߎߩ╙3ᓘ㑆ߢߪ4Hzㄭற߿12.5Hz㧘 25Hzߢߩ㖸ࡌ࡞߇ථߔࠆะߣߥߞߚ㧚
ห᭽ߦ㧘╙2ᓘ㑆ߩ᷹ቯ⚿ᨐ(SLM2)ࠍ࿑㧙5ߦ␜ߔ㧚
╙3ᓘ㑆ߩ࿑㧙4ߣห᭽㧘㖸ࡌ࡞߇ᄢ߈10ࠬ
࠹࠶ࡊࠍߒߚ⚿ᨐߢࠆ㧚ోߦ╙3ᓘ㑆ㇱߣห᭽
ߩะߩ⚿ᨐ߇ᓧࠄࠇߡࠆ߇㧘10Hzએਅߩૐᵄ ᢙߩ㖸ࡌ࡞ߦ㆑߇ߺࠄࠇࠆ㧚╙3ᓘ㑆ߢߪ4Hz߇ ථߔࠆ߇㧘╙2ᓘ㑆ߢߪ5Hzߩ㖸ࡌ࡞߇㜞ߊߥࠆ㧚
4Hz߅ࠃ߮5Hzߪߘࠇߙࠇ╙3߅ࠃ߮╙2ᓘ㑆ߩߨߓࠇ
࿕ᝄേᢙߦ߶߷৻⥌ߒߡࠆߎߣ߇㑐ଥߒߡࠆ߽
ߩߣផ᷹ߐࠇࠆ㧚
ฦᡰ㑆ߩ㖸ࡌ࡞ߩ․ᕈࠍࠄ߆ߦߔࠆߚ㧘㧙3 ߦ㧘ฦ1/3ࠝࠢ࠲ࡉࡃࡦ࠼Ფߩ5ࠬ࠹࠶ࡊߩᐔဋ 㖸ࡌ࡞ࠍ␜ߔ㧚ߎߩ߆ࠄ߽㧘╙3ᓘ㑆ߢߪ3.15Hz
߅ࠃ߮4.0Hzߩ㖸ࡌ࡞߇╙2ᓘ㑆ߩ୯ߦᲧセߒᄢ߈
ߊ᷹ⷰߐࠇ㧘5.00Hzߩ㖸ࡌ࡞ߦ㑐ߒߡߪ╙2ᓘ㑆ߩ ႐วߩᣇ߇ᄢ߈ߊߥࠆะߦࠆߎߣ߇ಽ߆ࠆ㧚
એߩ⚿ᨐ߆ࠄ㧘᷹ⷰߐࠇߚૐᵄ㖸ߪ㧘ㄭធߔࠆᯅ
ᡰ㑆ㇱߩᝄേᕈ⁁ߩᓇ㗀ࠍᄢ߈ߊฃߌࠆߎߣ߇⏕
ߢ߈ࠆ㧚
㧚ᯅㅢᝄേ⸃ᨆ
㧚⸃ᨆ᧦ઙ
ᧄ⎇ⓥߢߪ㧘೨ㅀߒߚታ᷹⚿ᨐߦട߃ᯅ߆ࠄߔ ࠆૐᵄ㖸ࠍ⸃ᨆߦࠃࠅౣߒ㧘ߘߩᅷᒰᕈࠍ⏕ߔࠆ ߣߦߘߩ㖸ߩะࠍࠄ߆ߦߔࠆߎߣߣߒߚ㧚
߹ߕ㧘㖸ߩ⊒↢ⷐ࿃ߣߥࠆᯅߩㅢᝄേߪ㧘ᯅ
ߣ⥄േゞߩേ⊛․ᕈ߅ࠃ߮ⴕㅦᐲ㧘〝㕙ಳಲߥߤᓇ 㗀ࠍᄢ߈ߊฃߌࠆ㧚╩⠪ࠄߪߔߢߦ㧘ᯅࠍゞਔ߇ㅢ ㆊߔࠆ㓙ߩᔕ╵ࠍ㧘ゞਔߣߩㅪᚑᝄേ⸃ᨆߦࠃࠅౣߒ㧘 ᓧࠄࠇࠆ⚿ᨐߪ⸘᷹⚿ᨐߣ߽⦟ߊ৻⥌ߔࠆߎߣࠍ
⏕ߒߡࠆ 6㨪8)㧚ᧄ⎇ⓥߦ߅ߡ߽㖸⊒↢ⷐ࿃ߢ
ࠆㅢᝄേࠍㅪᚑᝄേ⸃ᨆߦࠃࠅ᳞ࠆߎߣߣߒ㧘೨ ㅀߒߚታ᷹⚿ᨐߣߩᲧセߩߚ㧘น⢻ߥ㒢ࠅታㅢ⁁ᘒ ࠍౣߒߚᝄേ⸃ᨆࠍⴕ߁ߎߣߣߒߚ㧚
ߥ߅㧘ㅢᝄേ⸃ᨆߦ߅ߌࠆᯅࡕ࠺࡞ߪ㧘㧝▵ὐ㧢
㧙3 ฦᤨ㑆ߩᐔဋ㖸ࡌ࡞
Observation frequency SLM1 (Span 3) SLM2 (Span 2)
3.15 Hz 80.78 dB 76.61 dB
4.00 Hz 85.40 dB 83.14 dB
5.00 Hz 81.22 dB 86.61 dB
12.5 Hz 82.50 dB 83.68 dB
16.0 Hz 80.22 dB 79.49 dB
25.0 Hz 82.04 dB 80.32 dB
40.0 Hz 77.14 dB 77.64 dB
0 20 40 60 80 100 120
1 10 100
Frequency (Hz)
SPL (dB)
㗔ၞ㧔Σ㧕 㗔ၞ㧔Φ㧕
㗔ၞ㧔Τ㧕 㗔ၞ㧔Υ㧕
㧭
㧭 㧮
㧮
ᦨዊน⡬୯
ࠟ࠲ࠟ࠲㖸⊒↢㒢⇇
࿑㧙3 ૐᵄ㖸ߩಽ㘃2),3),5)
㧙2 ૐᵄ㖸ߩ㗔ၞ⺑2),3)
㗔ၞΣ ᚭ㓚ሶ㧘⓹ࠟࠬ╬߇ࠟ࠲ࠟ࠲㡆ࠆߎߣ߽ߥߊ㧘ߤࠎߥૐᵄ߽ᗵ⍮
ߐࠇߥ㧚
㗔ၞΤ ᚭ㓚ሶ㧘⓹ࠟࠬ╬߇ࠟ࠲ࠟ࠲㡆ࠆߎߣߪߥ߇㧘ૐᵄ߇ࠄ߆ߩ ߆ߚߜߢᗵ⍮ߐࠇ㧘↢ℂ⊛ߥ⧰∩ࠍᗵߓࠆߎߣ߇ᄙ㧚
㗔ၞΥ
ૐᵄ㖸ߪ㧘ߘࠇ⥄ߪ⋥ធ⊛ߦߪᗵ⍮ߐࠇߥߎߣ߇ᄙ߇㧘ᚭ㓚 ሶ㧘⓹ࠟࠬ╬ߥߤ߇㡆ࠆߣ߁‛ℂ⊛ߥ⽎ߦࠃߞߡ㑆ធ⊛ߦᗵ⍮
ߐࠇࠆ㧚
㗔ၞΦ
ᚭ㓚ሶ㧘⓹ࠟࠬ㧘㔎ᚭߥߤߩᑪౕ㘃߇ࠟ࠲ࠟ࠲㡆ࠆ৻ᣇߢ㧘ૐᵄ ߢߞߡ߽㖸ࡌ࡞߇㜞ߚ㖸ߣߒߡᗵ⍮ߐࠇࠆ႐ว߇ᄙߊ㧘ૐ
ᵄ㖸ኂߣߒߡ߆ߥࠅ෩ߒ⁁ᴫߦߐࠄߐࠇࠆ㧚
㪈 㪈㪇 㪈㪇㪇 㪌㪇
㪍㪇 㪎㪇 㪏㪇 㪐㪇 㪈㪇㪇
㩷㪊㪍㪋㪅㪌㩿㫊㪀㩷 㩷㪈㪇㪌㪅㪎㩿㫊㪀㩷 㩷㪊㪌㪏㪅㪌㩿㫊㪀㩷 㩷㪋㪐㪐㪅㪏㩿㫊㪀㩷 㩷㪋㪈㪊㪅㪉㩿㫊㪀㩷 㩷㪊㪈㪋㪅㪇㩿㫊㪀㩷 㩷㪈㪍㪇㪅㪏㩿㫊㪀㩷 㩷㪋㪏㪎㪅㪏㩿㫊㪀㩷 㩷㪌㪈㪅㪐㩿㫊㪀㩷 㩷㪌㪐㪍㪅㪈㩿㫊㪀
Sound Pressure Level (dB)
Frequency (Hz)
(a)
㪈 㪈㪇 㪈㪇㪇
㪌㪇 㪍㪇 㪎㪇 㪏㪇 㪐㪇 㪈㪇㪇
㩷㪈㪍㪉㪅㪈㩿㫊㪀㩷 㩷㪌㪊㪅㪋㩿㫊㪀㩷 㩷㪊㪅㪍㩿㫊㪀㩷 㩷㪋㪈㪉㪅㪉㩿㫊㪀㩷 㩷㪋㪐㪊㪅㪐㩿㫊㪀㩷 㩷㪈㪇㪉㪅㪌㩿㫊㪀㩷 㩷㪌㪌㪈㪅㪎㩿㫊㪀㩷 㩷㪉㪉㪋㪅㪎㩿㫊㪀㩷 㩷㪊㪍㪋㪅㪉㩿㫊㪀㩷 㩷㪊㪈㪎㪅㪏㩿㫊㪀
Sound Pressure Level (dB)
Frequency (Hz)
(b)
㪈 㪈㪇 㪈㪇㪇
㪌㪇 㪍㪇 㪎㪇 㪏㪇 㪐㪇 㪈㪇㪇
㩷㪊㪐㪍㪅㪍㩿㫊㪀㩷 㩷㪈㪇㪌㪅㪋㩿㫊㪀㩷 㩷㪍㪅㪈㩿㫊㪀㩷 㩷㪋㪐㪉㪅㪐㩿㫊㪀㩷 㩷㪊㪍㪉㪅㪋㩿㫊㪀㩷 㩷㪎㪍㪅㪉㩿㫊㪀㩷 㩷㪈㪍㪈㪅㪍㩿㫊㪀㩷 㩷㪈㪋㪌㪅㪎㩿㫊㪀㩷 㩷㪉㪉㪅㪌㩿㫊㪀㩷 㩷㪌㪌㪈㪅㪏㩿㫊㪀
Sound Pressure Level (dB)
Frequency (Hz)
(c)
㪈 㪈㪇 㪈㪇㪇
㪌㪇 㪍㪇 㪎㪇 㪏㪇 㪐㪇 㪈㪇㪇
㩷㪊㪐㪇㪅㪊㩿㫊㪀㩷 㩷㪋㪇㪏㪅㪎㩿㫊㪀㩷 㩷㪋㪐㪍㪅㪌㩿㫊㪀㩷 㩷㪌㪍㪅㪎㩿㫊㪀㩷 㩷㪈㪅㪋㩿㫊㪀㩷 㩷㪐㪋㪅㪏㩿㫊㪀㩷 㩷㪋㪇㪇㪅㪎㩿㫊㪀㩷 㩷㪋㪏㪎㪅㪐㩿㫊㪀㩷 㩷㪉㪎㪍㪅㪎㩿㫊㪀㩷 㩷㪋㪈㪏㪅㪉㩿㫊㪀
Sound Pressure Level (dB)
Frequency (Hz)
(d)
㪈 㪈㪇 㪈㪇㪇
㪌㪇 㪍㪇 㪎㪇 㪏㪇 㪐㪇 㪈㪇㪇
㩷㪊㪐㪇㪅㪈㩿㫊㪀㩷 㩷㪐㪋㪅㪐㩿㫊㪀㩷 㩷㪌㪊㪊㪅㪐㩿㫊㪀㩷 㩷㪌㪎㪅㪇㩿㫊㪀㩷 㩷㪋㪐㪍㪅㪌㩿㫊㪀㩷 㩷㪌㪉㪏㪅㪉㩿㫊㪀㩷 㩷㪉㪎㪍㪅㪍㩿㫊㪀㩷 㩷㪊㪉㪇㪅㪈㩿㫊㪀㩷 㩷㪏㪈㪅㪉㩿㫊㪀㩷 㩷㪋㪏㪏㪅㪉㩿㫊㪀
Sound Pressure Level (dB)
Frequency (Hz)
(e)
㪈 㪈㪇 㪈㪇㪇
㪌㪇 㪍㪇 㪎㪇 㪏㪇 㪐㪇 㪈㪇㪇
㩷㪊㪏㪐㪅㪏㩿㫊㪀㩷 㩷㪐㪐㪅㪉㩿㫊㪀㩷 㩷㪋㪇㪇㪅㪍㩿㫊㪀㩷 㩷㪈㪌㪅㪐㩿㫊㪀㩷 㩷㪉㪉㪏㪅㪐㩿㫊㪀㩷 㩷㪍㪈㪅㪊㩿㫊㪀㩷 㩷㪌㪉㪐㪅㪌㩿㫊㪀㩷 㩷㪉㪈㪊㪅㪍㩿㫊㪀㩷 㩷㪌㪉㪈㪅㪍㩿㫊㪀㩷 㩷㪌㪎㪏㪅㪌㩿㫊㪀
Sound Pressure Level (dB)
Frequency (Hz)
(f)
㪈 㪈㪇 㪈㪇㪇
㪌㪇 㪍㪇 㪎㪇 㪏㪇 㪐㪇 㪈㪇㪇
㩷㪌㪍㪐㪅㪐㩿㫊㪀㩷 㩷㪋㪅㪐㩿㫊㪀㩷 㩷㪌㪏㪏㪅㪏㩿㫊㪀㩷 㩷㪈㪏㪅㪎㩿㫊㪀㩷 㩷㪋㪇㪏㪅㪇㩿㫊㪀㩷 㩷㪊㪈㪉㪅㪐㩿㫊㪀㩷 㩷㪋㪎㪋㪅㪍㩿㫊㪀㩷 㩷㪐㪍㪅㪏㩿㫊㪀㩷 㩷㪊㪋㪎㪅㪋㩿㫊㪀㩷 㩷㪋㪉㪈㪅㪋㩿㫊㪀
Sound Pressure Level (dB)
Frequency (Hz)
(g)
࿑㧙4 ታ᷹㖸ࡌ࡞㧔 SLM1 [╙3ᡰ㑆] 㧕 (a) 3.15Hz; (b) 4Hz; (c) 5Hz; (d) 12.5 Hz; (e) 16Hz; (f) 25Hz; (g) 40Hz.
㪈 㪈㪇 㪈㪇㪇
㪌㪇 㪍㪇 㪎㪇 㪏㪇 㪐㪇 㪈㪇㪇
㩷㪈㪌㪊㪅㪍㩿㫊㪀㩷 㩷㪉㪌㪇㪅㪍㩿㫊㪀㩷 㩷㪉㪌㪍㪅㪉㩿㫊㪀㩷 㩷㪈㪐㪏㪅㪊㩿㫊㪀㩷 㩷㪋㪎㪐㪅㪈㩿㫊㪀㩷 㩷㪈㪈㪋㪅㪇㩿㫊㪀㩷 㩷㪊㪏㪉㪅㪊㩿㫊㪀㩷 㩷㪌㪋㪐㪅㪉㩿㫊㪀㩷 㩷㪌㪎㪉㪅㪌㩿㫊㪀㩷 㩷㪋㪏㪌㪅㪊㩿㫊㪀
Sound Pressure Level (dB)
Frequency (Hz)
(a)
㪈 㪈㪇 㪈㪇㪇
㪌㪇 㪍㪇 㪎㪇 㪏㪇 㪐㪇 㪈㪇㪇
㩷㪋㪏㪉㪅㪌㩿㫊㪀㩷 㩷㪈㪈㪌㪅㪏㩿㫊㪀㩷 㩷㪌㪌㪈㪅㪏㩿㫊㪀㩷 㩷㪊㪎㪍㪅㪈㩿㫊㪀㩷 㩷㪉㪌㪌㪅㪈㩿㫊㪀㩷 㩷㪌㪍㪊㪅㪏㩿㫊㪀㩷 㩷㪎㪋㪅㪇㩿㫊㪀㩷 㩷㪋㪐㪋㪅㪊㩿㫊㪀㩷 㩷㪊㪏㪈㪅㪊㩿㫊㪀㩷 㩷㪏㪍㪅㪈㩿㫊㪀
Sound Pressure Level (dB)
Frequency (Hz)
(b)
㪈 㪈㪇 㪈㪇㪇
㪌㪇 㪍㪇 㪎㪇 㪏㪇 㪐㪇 㪈㪇㪇
㩷㪌㪍㪊㪅㪍㩿㫊㪀㩷 㩷㪋㪎㪏㪅㪌㩿㫊㪀㩷 㩷㪈㪈㪏㪅㪏㩿㫊㪀㩷 㩷㪌㪌㪉㪅㪈㩿㫊㪀㩷 㩷㪉㪌㪉㪅㪏㩿㫊㪀㩷 㩷㪈㪉㪎㪅㪊㩿㫊㪀㩷 㩷㪉㪉㪊㪅㪍㩿㫊㪀㩷 㩷㪈㪐㪎㪅㪊㩿㫊㪀㩷 㩷㪊㪈㪎㪅㪐㩿㫊㪀㩷 㩷㪋㪐㪋㪅㪇㩿㫊㪀
Sound Pressure Level (dB)
Frequency (Hz)
(c)
㪈 㪈㪇 㪈㪇㪇
㪌㪇 㪍㪇 㪎㪇 㪏㪇 㪐㪇 㪈㪇㪇
㩷㪈㪉㪍㪅㪇㩿㫊㪀㩷 㩷㪉㪐㪏㪅㪊㩿㫊㪀㩷 㩷㪌㪐㪇㪅㪊㩿㫊㪀㩷 㩷㪋㪎㪎㪅㪎㩿㫊㪀㩷 㩷㪌㪏㪉㪅㪍㩿㫊㪀㩷 㩷㪊㪎㪎㪅㪉㩿㫊㪀㩷 㩷㪋㪇㪇㪅㪋㩿㫊㪀㩷 㩷㪊㪇㪌㪅㪏㩿㫊㪀㩷 㩷㪌㪌㪈㪅㪌㩿㫊㪀㩷 㩷㪋㪐㪌㪅㪊㩿㫊㪀
Sound Pressure Level (dB)
Frequency (Hz)
(d)
㪈 㪈㪇 㪈㪇㪇
㪌㪇 㪍㪇 㪎㪇 㪏㪇 㪐㪇 㪈㪇㪇
㩷㪈㪈㪏㪅㪉㩿㫊㪀㩷 㩷㪊㪇㪇㪅㪍㩿㫊㪀㩷 㩷㪌㪐㪇㪅㪋㩿㫊㪀㩷 㩷㪌㪌㪈㪅㪋㩿㫊㪀㩷 㩷㪊㪉㪎㪅㪈㩿㫊㪀㩷 㩷㪊㪍㪈㪅㪊㩿㫊㪀㩷 㩷㪋㪐㪌㪅㪊㩿㫊㪀㩷 㩷㪊㪅㪌㩿㫊㪀㩷 㩷㪊㪈㪉㪅㪇㩿㫊㪀㩷 㩷㪌㪐㪌㪅㪍㩿㫊㪀
Sound Pressure Level (dB)
Frequency (Hz)
(e)
㪈 㪈㪇 㪈㪇㪇
㪌㪇 㪍㪇 㪎㪇 㪏㪇 㪐㪇 㪈㪇㪇
㩷㪉㪋㪏㪅㪎㩿㫊㪀㩷 㩷㪌㪌㪋㪅㪇㩿㫊㪀㩷 㩷㪌㪏㪉㪅㪈㩿㫊㪀㩷 㩷㪌㪌㪐㪅㪋㩿㫊㪀㩷 㩷㪈㪈㪇㪅㪐㩿㫊㪀㩷 㩷㪉㪐㪎㪅㪎㩿㫊㪀㩷 㩷㪋㪎㪍㪅㪎㩿㫊㪀㩷 㩷㪈㪐㪋㪅㪍㩿㫊㪀㩷 㩷㪋㪐㪉㪅㪐㩿㫊㪀㩷 㩷㪌㪊㪉㪅㪇㩿㫊㪀
Sound Pressure Level (dB)
Frequency (Hz)
(f)
㪈 㪈㪇 㪈㪇㪇
㪌㪇 㪍㪇 㪎㪇 㪏㪇 㪐㪇 㪈㪇㪇
㩷㪈㪈㪐㪅㪋㩿㫊㪀㩷 㩷㪈㪈㪉㪅㪍㩿㫊㪀㩷 㩷㪌㪏㪐㪅㪐㩿㫊㪀㩷 㩷㪋㪎㪌㪅㪋㩿㫊㪀㩷 㩷㪋㪋㪇㪅㪇㩿㫊㪀㩷 㩷㪎㪅㪉㩿㫊㪀㩷 㩷㪉㪐㪊㪅㪇㩿㫊㪀㩷 㩷㪌㪍㪊㪅㪎㩿㫊㪀㩷 㩷㪋㪋㪐㪅㪎㩿㫊㪀㩷 㩷㪉㪈㪈㪅㪉㩿㫊㪀
Sound Pressure Level (dB)
Frequency (Hz)
(g)
࿑㧙5 ታ᷹㖸ࡌ࡞㧔 SLM2 [╙2ᡰ㑆] 㧕 (a) 3.15Hz; (b) 4Hz; (c) 5Hz; (d) 12.5 Hz; (e) 16Hz; (f) 25Hz; (g) 40Hz.
⥄↱ᐲߩߪࠅⷐ⚛ࠍ↪ߚ㒢ⷐ⚛ࡕ࠺࡞ߣߔࠆ㧚߹
ߚ㧘1 ᧄᩇࡔࡦᯅ⣉ᑼᯅߢࠆߎߣ߆ࠄ㧘ᯅ
ᦛߍᔕ╵ߦ㑐ଥߔࠆᯅ⣉߿ၮ␆߫ߨߦߟߡ߽ࡕ࠺࡞
ൻߒߡࠆ㧚ߎߩᯅߩ࿕୯⸃ᨆ⚿ᨐࠍ࿑㧙6 ߦ␜
ߔ㧚4ᰴࡕ࠼(2.648Hz)߅ࠃ߮8ᰴࡕ࠼(3.574Hz)ߪ ߘࠇߙࠇ㧘ᯅㇱᎿߩᦛߍ1ᰴ㧘ߨߓࠇ1ᰴߦᒰ ߒ㧘߹ߚ㧘49ᰴࡕ࠼(12.52Hz)ߢߪ㧘ᒛࠅߒᐥ ߩ ᦛߍࡕ࠼߇ࠇࠆ㧚ᧄ⸃ᨆߩ↪ࠆⴕゞਔߪ㧘ታ 㓙ߩⴕゞਔ߇20tf(196kN)࠻࠶ࠢߣᗐቯߒ㧘࿑㧙7 ߦ␜ߔ8⥄↱ᐲ♽ߩਃᰴరゞਔߦࡕ࠺࡞ൻߔࠆ㧚ゞਔ
⻉రࠍ㧙4 ߦ␜ߔ㧚ⴕ᧦ઙߪ㧘ታ᷹⚿ᨐߣߩᲧセ ߩߚ㧘ⴕゞਔࠍᗐቯߒߚ㧙5 ߦ␜ߔ᧦ઙߣ ߔࠆ㧚߹ߚ㧘⠨ᘦߔࠆ〝㕙ಳಲߦߟߡߪ㧘࿑㧙8 ߦ
␜ߔࡄࡢࠬࡍࠢ࠻࡞ኒᐲS(ǡ)߆ࠄࡕࡦ࠹ࠞ࡞ࡠࠪ
ࡒࡘ࡚ࠪࡦߦࠃࠅᚑߒߚ〝㕙࠺࠲ࠍ⠨ᘦߔࠆ㧚
(a) 4th (2.648Hz, Bending)
(b) 8th (3.574Hz, Torsion)
(c) 11th (4.387Hz, Bending)
(d) 13th (4.607Hz, Torsion)
(e) 49th (12.52Hz, Bending of cantilever decks)
࿑㧙6 ࿕୯⸃ᨆ⚿ᨐ
930 1290
1860 4500
3210 930
1015 2840 3855
࿑㧙7 ゞਔࡕ࠺࡞
㧙4 ⴕゞਔߩേ⊛․ᕈ
Total weight 196.0kN
Front 49.0kN Axle weight
Rear 147.0kN Front 0.66 Logarithmic decrement
Rear 0.33 Front 1.9Hz Natural frequency
(bounce motion) Rear 3.2Hz
㧙5 ゞਔߩⴕ᧦ઙ
ਅࠅ✢ ࠅ✢
Time ㅊ
ߒゞ✢
ⴕ
ゞ✢ ⴕゞ✢ ㅊ
ߒゞ✢
157.1 s 1st truck
enters
159.1 s 2nd truck
enters
1st truck leaves
160.1 s 3rd truck
enters
161.1 s 2nd truck
leaves
162.1 s 3rd truck
leaves
ⓨ⊕ᰣߪⴕゞਔߥߒࠍ␜ߔ
࿑㧙8 〝㕙ಳಲࠬࡍࠢ࠻࡞
㧚⸃ᨆ⚿ᨐ
⸘᷹ߐࠇߚଏ↪ਛߩⴕ⩄㊀ߦࠃࠆᯅߩടㅦᐲᔕ
╵ߣ㧘㧙5 ߦ␜ߒߚห᭽ߩㅢ⁁ᴫࠍᗐቯߒߚㅢᝄ
േ⸃ᨆߦࠃߞߡᓧࠄࠇࠆടㅦᐲᔕ╵ࠍ㧘ࡈࠛࠬࡍࠢ
࠻࡞ߣߣ߽ߦ࿑㧙9 ߦ␜ߔ㧚ⴕゞਔ߿〝㕙ಳಲ╬ᗐቯ ߒߚ⸃ᨆߢߪࠆ߇㧘ߕࠇߩ᷹ὐߦ߅ߡ߽ታ᷹⚿ᨐ ࠍᲧセ⊛ࠃߊౣߢ߈ߡ߅ࠅ㧘ࠬࡍࠢ࠻࡞ࠍߺߡ߽ථ
ᝄേᢙ߽⦟ߊ৻⥌ߒߡࠆ㧚ታ᷹ߐࠇߚૐᵄ㖸ߩะ ߣหߓߊ㧘╙3ᓘ㑆ߢߪ4Hzㄭற߇ථߒ㧘╙2ᓘ㑆ߢ ߪ5Hzㄭற߇ᄢ߈ߊߥࠆ㧚ߐࠄߦ㧘ᒛࠅߒᐥ ߩടㅦ ᐲᔕ╵(AC6)ߢߪ10Hzએߩᝄേᢙ㗔ၞߢ߽ታ᷹⚿ᨐߣ ห᭽ߩะࠍ␜ߒߡ߅ࠅ㧘ᯅ⸃ᨆࡕ࠺࡞߿ⴕ᧦ઙߩ ᅷᒰᕈ߇⏕ߢ߈ࠆ㧚
㧚ૐᵄ㖸⸃ᨆ
㧚⸃ᨆ᧦ઙ
ㅢᏱ㖸႐ᵄേ⸃ᨆߢ↪ࠄࠇߡࠆᢙ୯⸃ᨆᚻᴺߪ㧘 Ꮕಽᴺ߿㒢ⷐ⚛ᴺ㧘Ⴚ⇇ⷐ⚛ᴺ 9),10)ߥߤ߇ࠅ㧘ߔߢ ߦ╩⠪ࠄߪႺ⇇ⷐ⚛ᴺࠍ↪ߡᯅ߆ࠄߐࠇࠆ
㖸ߩℂ⺰⸃ᨆࠍ⹜ߺߡࠆ 11㨪13)㧚ߎߩႺ⇇ⷐ⚛ᴺߪ㧘 ኻ⽎ߣߔࠆ㗔ၞߩ㗴߆ࠄዉ߆ࠇࠆႺ⇇ߦ㑐ߔࠆⓍಽ ᣇ⒟ᑼࠍዉ߈㧘ߎߩႺ⇇Ⓧಽᣇ⒟ᑼࠍ㒢ߩႺ⇇ߩⷐ
⚛ߦ㑐ߒߡ㔌ᢔ⊛ߦᢙ୯⸃ᨆࠍⴕ߁ᚻᴺߢࠆ㧚ߔߥࠊ ߜ㧘ኻ⽎㗴߇Ⴚ⇇ߩߺߩᣇ⒟ᑼߣߥࠆߚ㧘Ꮕಽᴺ߿
㒢ⷐ⚛ᴺߩో㗔ၞᴺߦᲧセߒ⸃ߊߴ߈ᧂ⍮ᢙࠍዋߥ ߊߢ߈㧘ή㒢㗔ၞࠍᛒ߁ᄖㇱ㗴ߢߪ㧘ή㒢㆙ᣇ߳ߩᵄ
േવ㗴ߩಣℂ߇ኈᤃߣ߃ࠆ㧚ኻ⽎ߣߔࠆ㗔ၞ߇ᯅ
ㄝోၞߦ߱ᧄ⎇ⓥߦ߅ߡ߽㧘એߩὐࠍߔ ࠆႺ⇇ⷐ⚛ᴺࠍ↪ߡ⸃ᨆߔࠆߎߣߣߔࠆ㧚
⸃ᨆߦ↪ࠆᯅߩႺ⇇ⷐ⚛ࡕ࠺࡞ࠍ࿑㧙10 ߦ␜ߔ㧚 ᯅోࠍࡕ࠺࡞ൻߔࠆߎߣ߇ᦸ߹ߒ߇㧘೨ㅀߒߚࠃ ߁ߦᦨ߽ㄭធߔࠆᓘ㑆ߩᓇ㗀ࠍᄢ߈ߊฃߌࠆߎߣ߇ಽ ߆ߞߡࠆߚ㧘ߎߎߢߪ㧘╙3ᓘ㑆߆ࠄߩ㖸ߦߩ ߺ⌕⋡ߔࠆߎߣߣߒߚ㧚ߥ߅㧘ㅢᝄേ⸃ᨆߢߪᩴߪߪ ࠅⷐ⚛ߣߒ▫ᩴᢿ㕙ߣߒߡ⠨ᘦߒߡߥ߇㧘㛍㖸⸃ᨆ ߦ߅ߡߪᩴਅⓨ㑆ߩ㖸႐․ᕈ߇▫ᩴߦࠃߞߡᓇ㗀ߐ ࠇࠆน⢻ᕈ߇ࠆߚ㧘⣻᧼㧘ਅࡈࡦ߽ࠫࡕ࠺࡞ൻߒ ߡࠆ㧚ߚߛߒ㧘⣻᧼߆ࠄߩ㕙ᄖᣇะߩ㖸ߦߟߡ ߪᛒࠊߕ㧘㕙ߣߒߡᛒ߁㧚߹ߚ㧘⋚㕙ߢߩ㖸 ߩߦߟߡߪ㏜ᴺ14)ࠍ↪㧘㖸ߪ⋚㕙ߢో
ߔࠆߣ⠨߃ࠆ㧚 (1) ᷹ὐ㧦AC2 㧔╙3ᓘ㑆ਛᄩਥᩴ㧕
(2) ᷹ὐ㧦AC5 㧔╙2ᓘ㑆ਛᄩਥᩴ㧕
(3) ᷹ὐ㧦AC6 㧔╙2ᓘ㑆ᒛᐥ 㧕
⸃ᨆ⚿ᨐ
╙3ᓘ㑆߅ࠃ߮╙2ᓘ㑆ߩᡰ㑆ਛᄩૐᵄ㖸㖸ࡌ
࡞ࠍታ᷹⚿ᨐߣᲧセߒߡ࿑㧙11ߦ␜ߔ㧚
Ⴚ⇇ⷐ⚛ᴺࠍ↪ߚૐᵄ㖸⸃ᨆߢߪ㧘㖸႐㖸ࠍ ᏀฝߔࠆႺ⇇ߣߒߡߪᯅߛߌࠍ⠨ᘦߒߡ߅ࠅ㧘㖸ߪ
⋚㕙ߢోߣߒߡࠆ㧚߹ߚ㧘ᯅ⸃ᨆࡕ࠺࡞ߦߟ
ߡ߽ⶄ㔀ߥ᭴ㅧߪౣߒߡ߅ࠄߕ㧘න⚐ൻߒߡࠆߥߤ㧘
⁁ᴫߣߩ⋧㆑ߪࠆ߇㧘ᓧࠄࠇߚ㖸ࡌ࡞ߪᲧセ
⊛ታ᷹⚿ᨐߣㄭะࠍ␜ߒߡࠆ㧚SLM2 ߦ߅ߌࠆ3 㨪5Hz㑆ߢߪ⸃ᨆ⚿ᨐ߇ታ᷹⚿ᨐࠃࠅ20dB⒟ᐲᄢ߈ߊ ᓧࠄࠇߡࠆ߇㧘ߩߣߎࠈ⏕ߥℂ↱ߪਇߢࠆ㧚
ᰴߦ㧘ᯅㄝߩ㖸ࡌ࡞ಽᏓࠍ࿑㧙12߅ࠃ߮࿑㧙 13ߦ␜ߔ㧚࿑㧙12ߪ╙3ᡰ㑆ਛᄩᢿ㕙㧘࿑㧙13ߪSLM1
⟎ߢߩ㕙㖸ࡌ࡞ಽᏓࠍ␜ߒߡࠆ㧚ߎߩࠃ߁ߦ ᯅᝄേ⸃ᨆ߅ࠃ߮ૐᵄ㖸⸃ᨆࠍⴕ߁ߎߣߦࠃࠅታ
᷹ࠍⴕ߁ߎߣߥߊછᗧߩὐߢߩ㖸ࡌ࡞ࠍ᳞ࠆ ߎߣ߇ߢ߈㧘ᯅߩ㖸․ᕈߩ೨⏕߿㧘㛍㖸ኻ╷
࿑㧙12 ૐᵄ㖸㖸ࡌ࡞ಽᏓ㧔ᮮᢿᣇะᢿ㕙㧕
࿑㧙11 ૐᵄ㖸㖸ࡌ࡞
࿑㧙13 ૐᵄ㖸㖸ࡌ࡞ಽᏓ㧔ᯅゲᣇะᢿ㕙㧕
ലᨐߩ⏕㧘߹ߚᯅㄝߩⅣႺᓇ㗀⹏ଔ߇ߢน⢻
ߦߥࠆ㧚ᧄᯅߩ㖸႐ߩ․ᓽߪ㧘࿑㧙12ࠃࠅ㧘3.15Hz
߿4.00Hz㧘5.00Hzߪᯅߩߚࠊߺ߅ࠃ߮ߨߓࠇᝄേߩᓇ
㗀ߦࠃࠅ㖸ࡌ࡞ߩ㜞▸࿐߇ᄢ߈ߊᐢ߇ࠆ㧚߹ߚ㧘
12.5Hz߿40Hzߩ㖸ߪᒛࠅߒᐥ ㇱࠃࠅᐢ߇ࠆߎ
ߣ߇⏕ߢ߈㧘ోߦゞਔⴕߢࠆࠅ✢ߩ㖸
ࡌ࡞߇㜞ߊߥࠆߎߣ߇ࠊ߆ࠆ㧚
৻ᣇ㧘ᯅゲᣇะ߳ߩ㖸ࡌ࡞ಽᏓࠍ␜ߒߚ࿑㧙13߆ ࠄ㧘ᩴߩߚࠊߺ㧘ߨߓࠇߦၮߠߊૐᵄᢙߩ㖸ߩᐢ߇ ࠅߪᡰ㑆ਛᄩㄭறࠍਛᔃߦᐢ߇ࠆߎߣ߇ಽ߆ࠆ㧚ߣߎࠈ ߇㧘㜞ᵄᢙߢߪᡰὐㇱઃㄭߩ㖸ࡌ࡞߇㜞ߊߥࠆ
ะߦࠆߎߣ߇ಽ߆ࠅ㧘40Hzߢߪߘߩะ߇ᒝ㧚ᡰ ὐㇱઃㄭߩ〝㕙ಳಲᕈ⁁߇ᖡߊߥࠇ߫㧘ߐࠄߦߎߩࠃ߁ ߥᵄᢙߩ㖸ࡌ࡞߇㜞ߊߥࠆߎߣ߇੍ᗐߐࠇࠆ㧚
㧚⚿⺰
ᯅߩㅢᝄേߦࠃࠅߐࠇࠆૐᵄ㖸ߩ⸘
᷹߅ࠃ߮⸃ᨆߦࠃࠅ㧘․ߦ߇ߚߟ߈⊒↢ⷐ࿃ߣߥࠆࠃ߁ ߥᢙHzߩૐᵄᢙߩૐᵄ㖸ߪ㧘ㄭធߔࠆㇱᎿߩ ߚࠊߺ߿ߨߓࠇᝄേߩᓇ㗀ࠍᄢ߈ߊฃߌࠆߎߣ߇⏕
ߐࠇߚ㧚߹ߚ㧘ᐥ ᒛࠅߒ㐳߇⚂3mߣᲧセ⊛㐳ᧄ ᯅߩ႐ว㧘ゞਔ߫ߨਅᝄേߩᓇ㗀ࠍฃߌ߿ߔߊ㧘12.5Hz ㄭறߩ㖸ࡌ࡞߇㜞ߊߥࠆะߦߥࠆߎߣࠍ⏕ߒ ߚ㧚
ߐࠄߦ㧘ㄝߩ㖸ࡌ࡞ಽᏓࠍ⏕ߒߚ⚿ᨐ㧘࿁
᷹ቯߒߚᡰ㑆ਛᄩߢߩૐᵄ㖸ߪ㧘3㨪5Hzߣߞߚᩴߩ ૐᰴᝄേߦ߁㖸߇ᄢ߈ߊߥࠆะߦࠅ㧘น⡬ၞ
ߩ㖸ߦߟߡߪᡰὐㇱㄭறߢ㜞ߊߥࠆะߣߥࠆߎߣ ࠍ⏕ߒߚ㧚ߟ߹ࠅ㧘100Hzએਅߩૐᵄ㖸ߩਛߢ߽ኻ
⽎ߣߔࠆᵄᢙߦࠃߞߡ㖸ࡌ࡞߇㜞ߊߥࠆ㗔ၞ߇
⇣ߥࠆߎߣ߆ࠄ㧘ታ᷹߅ࠃ߮⹏ଔߦߚߞߡߪචಽߥᵈ ᗧ߇ᔅⷐߣ߃ࠆ㧚
ᧄ⎇ⓥߢߪ⸥ߩࠃ߁ߦ㧘ߎࠇ߆ࠄߩⅣႺ⽶⩄ߩዋߥ
ᯅߩᑪ⸳߿ᡷༀߦะߌ㧘ૐᵄ㖸ߩ⸃ᨆߦ㑐ߔࠆၮ
␆⊛ߥ⎇ⓥࠍⴕߞߚ߽ߩߢࠅ㧘ᓟᯅߩᐥ ߿⣻᧼
ߥߤߩዪㇱ⊛ߥᝄേ㧘߹ߚኻ╷Ꮏᴺߥߤ߽ߚ⎇ⓥ߳
ߩㅴዷ߇ᦸ߹ࠇࠆ㧚
ෳ⠨ᢥ₂
1)ⅣႺ⋭ⅣႺ▤ℂዪᄢ᳇↢ᵴⅣႺቶ㧦ૐᵄ㖸㒐ᱛኻ╷
㓸, 2002.3.
2)ⅣႺᐡ㧦ᤘ52ᐕᐲૐᵄⓨ᳇ᝄേ╬ታᘒ⺞ᩏ㧔ૐ
ᵄⓨ᳇ᝄേߩኅደ╬ߦ߷ߔᓇ㗀ߩ⎇ⓥ㧕ႎ๔ᦠ, ᤘ53ᐕ3.
3)ਛବ৻, ᤨ↰ᄦ, ❱↰ ෘ㧦ૐᵄ㖸ߦኻߔࠆᗵⷡ
ߣ⹏ଔߦ㑐ߔࠆၮ␆⎇ⓥ, ᤘ55ᐕᐲᢥㇱ⋭⑼ቇ⎇
ⓥ⾌ޟⅣႺ⑼ቇޠ․⎇ⓥ, 1979.
4)ᧁቇળ㍑᭴ㅧᆔຬળ ㍑ᯅߩᝄേ㛍㖸ߦ㑐ߔࠆⅣ Ⴚ⽶⩄ૐᷫᎿᴺߩ⹏ଔᬌ⸛ዊᆔຬળ㧦㍑ᯅߩᝄേ㛍 㖸㗴ߣߘߩኻ╷㧘2008.11.
5)ⅣႺ⋭ⅣႺ▤ℂዪᄢ᳇↢ᵴⅣႺቶ㧦ૐᵄ㖸㗴ኻᔕ ߩᚻᒁᦠ, 2004.6.
6)Ꮉ⼱ల㇢㧘ጊ↰㕏ೣ㧘Ꭺਅ৻㧦ਃᰴరゞਔࡕ࠺࡞ߦ ࠃ ࠆ ᩴ ᯅ ߩ േ ⊛ ᔕ ╵ ⸃ ᨆ, ᧁ ቇ ળ ⺰ ᢥ 㓸, No.584/I-42, pp.79-86, 1998.1.
7)Ꮉ⼱ల㇢㧘ጊ↰㕏ೣ㧘㊄ ື㧘Ꮉᧁ⑲ᤘ㧦〝ᯅ
ㅢᝄേߩਃᰴర⸃ᨆߦࠃࠆᐥ ᔕ╵ߩ⹏ଔ, ᭴ㅧᎿቇ
⺰ᢥ㓸, Vol.44A, pp.827-834, 1998.3.
8)Ꮉ⼱ల㇢㧘᧻ᢅ㓶㧘Ꮉᧁ⑲ᤘ㧘❱↰ᢅ┨㧘ਅ৻
ᦶ㧦㧞ਥᩴᯅߩⴕ⩄㊀ߦࠃࠆਃᰴరേ⊛ᔕ╵⸃ᨆ㧘
㍑᭴ㅧᐕᰴ⺰ᢥႎ๔㓸, Vol.7, pp.533-540, 1999.11.
9)ዊᨋᤘ৻㧦ᵄേ⸃ᨆߣႺ⇇ⷐ⚛ᴺ, ੩ㇺᄢቇቇⴚ
ળ, 2000.2.
10)R.D.Cikawski, C.A.Brebbia 㧦Boundary Element Methods in Acoustics, 1991.
11)ᴡ↰⋥᮸, Ꮉ⼱ల㇢㧦Ⴚ⇇ⷐ⚛ᴺߦࠃࠆ〝ㅢᝄേ
ߦ࿃ߔࠆૐᵄ㖸ߩℂ⺰⸃ᨆ㧘ᧁቇળ⺰ᢥ㓸, Vol.62 No.3, pp.702-712, 2006.9.
12)Mitsuo Kawatani, Chul W. Kim, Naoki Kawada and Shohei Koga㧦Assessment of Traffic induced Low Frequency Noise Radiated from Steer Girder Bridge㧘Steel Structures㧘8㧘pp.305-314, 2008.
13)Ꮉ⼱ల㇢, ᴡ↰⋥᮸,㊁ᤩિ, ฎ⾐⠍ᐔ㧦Ⴚ⇇ⷐ⚛ᴺ
ߦࠃࠆ㍑ᐥ ㅪ⛯ᩴᯅ߆ࠄߩૐᵄ㖸ℂ⺰⸃ᨆ, ᧁ ቇળ╙61࿁ᐕᰴቇⴚ⻠Ṷળ⻠Ṷⷐ㓸㧘I-511, 2006.9.
14)೨Ꮉ⚐৻, ᧄਯ, 㒋ඳ㧦ᑪ▽ⅣႺ㖸㗀ቇ ╙
2 , pp.163, ┙ , 1990.
