Author(s)
鎌田, 敏郎; 淺野, 雅則; 川嶋, 雅道; 内田, 慎哉; 六郷, 恵哲
Citation
[土木学会論文集E] vol.[62] no.[3] p.[569]-[586]
Issue Date
2006-10-20
Rights
Japan Society of Civil Engineers (土木学会)
Version
出版社版 (publisher version) postprint
URL
http://hdl.handle.net/20.500.12099/27404
ᒢᕈᵄߦࠃࠆ
PCࠣ࠙࠻లႯ⹏ଔᚻᴺߩ
ታ᭴ㅧ‛߳ߩㆡ↪
㎨↰ ᢅ㇢
1ᷜ㊁ 㓷ೣ
2Ꮉ᎑ 㓷
3ౝ↰ ᘕ
3ㇹ ᕺື
4 1ᱜળຬ ᄢ㒋ᄢቇᄢቇ㒮ᢎ Ꮏቇ⎇ⓥ⑼✚วᎿቇኾ㧔ޥ565-0871 ็↰Ꮢጊ↰ਐ2-1㧕 E-mail:[email protected] 2ᱜળຬ 㧔ᩣ㧕ࡂࡆࠨ࠴ࡏ࠻㧔ޥ501-1193 ጘ㒂Ꮢᩉᚭ1-1㧕 3ቇ↢ળຬ ጘ㒂ᄢቇᄢቇ㒮 Ꮏቇ⎇ⓥ⑼ᧁᎿቇኾ㧔ޥ501-1193 ጘ㒂Ꮢᩉᚭ1-1㧕 4ᱜળຬ ጘ㒂ᄢቇᢎ Ꮏቇㇱ␠ળၮ⋚Ꮏቇ⑼㧔ޥ501-1193 ጘ㒂Ꮢᩉᚭ1-1㧕 ᧄ⺰ᢥߪ㧘ᒢᕈᵄߦࠃࠆPCࠣ࠙࠻ߩలႯ⹏ଔᚻᴺߣߒߡ㧘I: ㇱ᧚ゲᣇะߦᒢᕈᵄࠍવߐߖࠆ႐ว㧘 II: ㇱ᧚ᢿ㕙ᣇะߦᒢᕈᵄࠍવߐߖࠆ႐วߩ2ࠤࠬߦߟߡ㧘ᣢ⸳ߩታ᭴ㅧ‛߳ߩㆡ↪ᕈࠍᬌ⸛ߒߚ߽ ߩߢࠆ㧚Iߢߪᩴߩᮮ✦㍑ࠍኻ⽎ߣߒ㧘વㅦᐲࠍ↪ߡ⹏ଔࠍ⹜ߺߚ㧚৻ᣇ㧘IIߢߪᩴߩਥࠤࡉ ࡞ࠍኻ⽎ߣߒ㧘ᵄᢙࠬࡍࠢ࠻࡞ߦ⌕⋡ߒߚ⹏ଔࠍⴕߞߚ㧚ߕࠇ߽⹏ଔ⚿ᨐߩᅷᒰᕈࠍᬌ⸽ߔࠆߚ㧘 ሹ⚿ᨐߣᲧセߒߚ㧚ߘߩ⚿ᨐI㧘IIߩਔࠤࠬߦ߅ߡ㧘ታ᭴ㅧ‛ߦኻߒߡ⋧ᔕߩㆡ↪ᕈࠍߔࠆߎߣ߇ ࠄࠇ㧘ᧄᚻᴺ߇㧘ᓟ㧘႐ߢߩലߥ⹏ଔᚻᲑߣߥࠅᓧࠆน⢻ᕈ߇⏕ߐࠇߚ㧚Key Words : PC structure, nondestructive tests, elastic-wave methods, wave velocity, fast Fourier transform, multitaper method
1. ߪߓߦ ࡐࠬ࠻࠹ࡦ࡚ࠪࡦᣇᑼߩPC᭴ㅧ‛ߢߪ㧘PC㍑᧚ࠍ⣣ 㘩߆ࠄ⼔ߔࠆߚߦࠪࠬౝߦࠣ࠙࠻߇లႯߐࠇࠆ㧚 PC ㍑᧚ߩ⣣㘩ߪ㍑᧚ߩ⎕ᢿߦߟߥ߇ࠅ㧘᭴ㅧ‛ߩ⠴⩄ ᕈ⢻߅ࠃ߮⠴ਭᕈ⢻ࠍ⪺ߒߊૐਅߐߖࠆⷐ࿃ߣߥࠅ߁ࠆ㧚 ࠗࠡࠬߦ߅ߡ㧘1980 ᐕઍߦ PC ㍑᧚ߩ⣣㘩ߦ࿃ߔ ࠆ PC ᯅߩ፣უ߇ႎ๔ 1)ߐࠇߡ߅ࠅ㧘ࠊ߇࿖ߦ߅ߡ ߽㘃ૃ⽎ߩ⊒↢߇ ᔨߐࠇࠆ㧚ߎߩߚ㧘PC ࠣ࠙ ࠻ߩలႯ⏕ߪᭂߡ㊀ⷐߥᗧࠍᜬߟ߽ߩߣ⠨߃ࠄࠇ ࠆ㧚 PC ࠣ࠙࠻ߩలႯਇ⦟ߩᬌᣇᴺߦ㑐ߒߡߪ㧘⒳ޘ ߩ㕖⎕უ⹜㛎ᣇᴺߩㆡ↪߇น⢻ߣ⠨߃ࠄࠇߡࠆ2)㧚PC ࠣ࠙࠻ߩలႯ⹏ଔᚻᴺߣߒߡ㧘ߎࠇ߹ߢߦX ✢ᴺ3)㧘 㖸ᵄᴺ 4)߅ࠃ߮ⴣ᠄ᒢᕈᵄᴺ 5)ߥߤߩ⎇ⓥ߇ⴕࠊࠇߡ ߈ߚ㧚․ߦㄭᐕߢߪ㧘Ყセ⊛⹜㛎᧦ઙߦ⚂ߩዋߥⴣ ᠄ᒢᕈᵄᴺ߇ᐢߊᬌ⸛ߐࠇߡࠆ㧚ߎߩᚻᴺߪ㧘PC ㍑ ᧚ゲᣇะߦᒢᕈᵄࠍવߐߖࠆᚻᴺ㧔࿑-1 ෳᾖ㧕ߣ㧘 ㇱ᧚ߩᢿ㕙ᣇะߦᒢᕈᵄࠍવߐߖࠆᚻᴺ㧔࿑-2 ෳ ᾖ㧕ߣߦᄢߐࠇࠆ2)㧚 ೨⠪ߪ㧘ㇱ᧚㐳ోߦࠊߚߞߡߩᐔဋ⊛ߥࠣ࠙࠻ల Ⴏ⁁ᴫࠍᛠីߔࠆߚߩ⇛ᬌᩏᴺߣߒߡ⟎ߠߌࠄࠇ ߡ߅ࠅ㧘ᒢᕈᵄࡄࡔ࠲ߣߒߡ㧘ᵄᢙಽᏓ6)߿ᵄᒻ ࠛࡀ࡞ࠡ 7)ߥߤࠍ↪ߡࠣ࠙࠻లႯ⒟ᐲߩ⹏ଔࠍⴕ߁ ߽ߩߢࠆ㧚ߎࠇߦ㑐ㅪߒߡ㧘⪺⠪ࠄߪ㧘․ߦᒢᕈᵄવ ㅦᐲࠍ↪ߚᬌ⸛ 8)ࠍⴕߞߡ߅ࠅ㧘ߘߩലᕈࠍଏ⹜ ታ㛎ߦߡታ⸽ߒߡࠆ㧚ߐࠄߦ3 ᰴర FEM ⸃ᨆߦࠃ ࠅ㧘ㇱ᧚ౝߩᵄേવ߆ࠄߺߚᒢᕈᵄㅦᐲߩᄌൻߩᯏ᭴ ࿑-1ㇱ᧚ゲᣇะ߳ߩᒢᕈᵄવ PC㍑ ࠪࠬ ࠦࡦࠢ࠻ ࡦࠨ ⴣ᠄ 㧦ⴣ᠄ 㧦ࡦࠨ ࿑-2ㇱ᧚ᢿ㕙ᣇะ߳ߩᒢᕈᵄવ㧔ࠗࡦࡄࠢ࠻ࠛࠦᴺ㧕 ࠦࡦࠢ࠻ PC㍑ ࠪࠬ 㧦ⴣ᠄ 㧦ࡦࠨ
౮⌀-1ࠬࡉଏ⹜ߩ৻ ߦߟߡ߽ᬌ⸛ߒߡ߅ࠅ 9)㧘ℂ⺰⊛ߥ㕙߆ࠄ߽ᒢᕈᵄㅦ ᐲߩലᕈࠍࠄ߆ߦߒߡࠆ㧚 ৻ᣇ㧘ᓟ⠪ߪ㧘ㇱ᧚ߦ߅ߌࠆᧂలႯ⟎ࠍ․ቯߔࠆߚ ߩ⚦ᬌᩏᴺߣߒߡߩㆡ↪ߩน⢻ᕈࠍߔࠆ߽ߩߢ ࠆ㧚ߎߩᚻᴺߪ㧘ࠪࠬ⋥ߩࠦࡦࠢ࠻㕙߆ࠄᒢ ᕈᵄࠍㇱ᧚ౝㇱߦജߒ㧘ⓨ㓗㕙ߢߐࠇࠆᵄേᚑ ಽߦࠃࠆ❑ᵄᝄ⽎ࠍ⸘᷹ߔࠆ߽ߩߢࠆ㧚ߎࠇߦࠃ ࠅ㧘ᓧࠄࠇߚᵄᢙಽᏓߦ߅ߌࠆࡇࠢߩήߣᵄᢙ ߩ୯ߦࠃߞߡⓨ㓗ߩሽ߅ࠃ߮⟎߇ផቯߢ߈ࠆ㧚ߎߩ ᚻᴺߢߪ㧘ᵄᢙಽᏓߦ߅ߡᝄᵄᢙࠍ․ቯߔࠆᔅ ⷐ߇ࠅ㧘ⓨ㓗߆ࠄߩߦ࿃ߔࠆᚑಽࠍᅤߦ ߔࠆ߆߇㗴ߣߥࠆ㧚ߎࠇߦ㑐ㅪߒߡ㧘ࠗࡦࡄࠢ࠻ࠛࠦ ᴺ10)ߢߪ㧘ฃᝄᵄᒻߦ߅ߌࠆ㕙ᵄᚑಽࠍࠞ࠶࠻ߒ㧘 ❑ᵄᝄ⽎ߦ࿃ߔࠆᚑಽࠍߔࠆᣇᴺ߇ឭ᩺ߐࠇ
ߡࠆ㧚ઁᣇ㧘MEM㧔Maximum Entropy Method㧕ࠍ↪
ߡ❑ᵄᝄ⽎ߦ࿃ߔࠆࡇࠢᵄᢙࠍ․ቯߔࠆᚻᴺ ߽ᬌ⸛ߐࠇߡ߅ࠅ㧘ଏ⹜ታ㛎ߢߩലᕈ߇␜ߐࠇߡ ࠆ11)㧚 ߒ߆ߒߥ߇ࠄᣢᓔߩ⍮ߪ㧘ଏ⹜ࡌ࡞ߢߩ⏕ߪ ⴕࠊࠇߡࠆ߽ߩߩ㧘ᚻᴺߩലᕈࠍታ᭴ㅧ‛ߦ߅ߡ ᬌ⸽ߒߚߪ߶ߣࠎߤߥ㧚 ߘߎߢᧄ⺰ᢥߢߪ㧘߹ߕ㧘ᒢᕈᵄࠍゲᣇะߦવߐߖ ࠆᚻᴺ㧔࿑-1 ෳᾖ㧕ߦߟߡ㧘ଏ⹜ታ㛎ࠍⴕ㧘⹏ ଔᜰᮡߩലᕈࠍౣ⏕ߒߚ㧚⛯ߡ㧘ଏ↪ਛߩᯅ PC ᩴߩᮮ✦㍑ࠍኻ⽎ߣߒߡ㧘ᒢᕈᵄવㅦᐲࠍ↪ ߚࠣ࠙࠻లႯ⹏ଔࠍ⹜ߺߚ㧚ታ᭴ㅧ‛ߢߩᬌ⸛ᚻ㗅 ߣߒߡߪ㧘ኻ⽎ߣߒߚ㍑ߏߣߦᒢᕈᵄવㅦᐲࠍ᳞㧘 ୯ߩಽᏓ⁁ᴫߥߤࠍ⚦ߦ⺞ߴߚ㧚ߘߩᓟ㧘ሹࠍⴕ㧘 ⋡ⷞ⺞ᩏߩ⚿ᨐߣᒢᕈᵄવㅦᐲߣߩኻᔕ㑐ଥࠍࠄ߆ ߦߒߚ㧚ߐࠄߦ㧘⋡ⷞ⺞ᩏߦࠃࠅᧂలႯ߇ࠄࠇߚࠪ ࠬߦߟߡߪ㧘ࠣ࠙࠻ߩౣలႯࠍⴕ㧘ౣలႯߩ೨ ᓟߢߩᒢᕈᵄㅦᐲߩᄌൻࠍ⹏ଔߒߚ㧔2 ┨㧕㧚 ৻ᣇ㧘ᒢᕈᵄࠍㇱ᧚ᢿ㕙ᣇะߦવߐߖࠆᚻᴺ㧔࿑-2 ෳᾖ㧕ߢ߽㧘߹ߕ㧘ଏ⹜ታ㛎ߢ⹏ଔේℂߩ⏕ࠍⴕߞ ߚ㧚߹ߚ㧘ߎߎߢߪታ᭴ㅧ‛߳ߩㆡ↪ߦߚߞߡߩᚻᴺ ߩᡷༀࠍ⹜ߺߚ㧚ౕ⊛ߦߪ㧘ᵄᢙಽᏓߩ▚ߦߚ ࠅ㧘ฃᝄᵄᒻߩ㕙ᵄᚑಽࠍࠞ࠶࠻ߔࠆߣߣ߽ߦ㧘ᵄ ᢙಽᨆᚻᴺߣߒߡMultitaper Method㧔એ㒠 MTMߣߔࠆ㧕12) ࠍ↪ߚ⹏ଔࠍⴕߞߚ㧚MTM ߣ㜞ㅦࡈࠛᄌ឵㧔એ 㒠 FFT ߣ߱㧕ߣߩ㑆ߢലᕈߩᲧセࠍⴕ߁ߣߣ߽ߦ㧘 ࠪࠬᷓߐߦ⋧ᒰߔࠆࠬࡍࠢ࠻࡞ࡇࠢߩ⁁ᴫࠍ⏕ ߒߚ㧚⛯ߡᣢ⸳ߩᯅ PC ᩴߩਥࠤࡉ࡞ࠍኻ⽎ߣ ߒߡ㧘ଏ⹜ታ㛎ߢߩᬌ⸛⚿ᨐࠍ〯߹߃ߡ㧘ࠣ࠙࠻ల Ⴏ⹏ଔࠍⴕߞߚ㧚ߎߎߢ߽ሹᓟߦ⋡ⷞᬌᩏࠍⴕ㧘ᧂ లႯ▎ᚲߩήߣ⹏ଔ⚿ᨐߣߩ㑐ଥࠍࠄ߆ߦߒߚ㧔3 ┨㧕㧚 ߐࠄߦ㧘ᧄ⎇ⓥߢ↪ߚ2ߟߩᚻᴺߦߟߡ㧘ታ᭴ㅧ ‛߳ߩㆡ↪ߦ㓙ߒߡߩਔ⠪ߩ⟎ߠߌߣౕ⊛ᚻ㗅ߦ㑐 ߔࠆឭ⸒ࠍⴕߞߚ㧔4┨㧕㧚 ᦨᓟߦ㧘5┨ߢ⚿⺰ࠍ␜ߒߚ㧚 2.ㇱ᧚ゲᣇะߢߩࠣ࠙࠻లႯ⹏ଔ (1) ଏ⹜ታ㛎ߦࠃࠆ⹏ଔᜰᮡߩ⏕ ߎߎߢߪ㧘ታ᭴ㅧ‛ߢ⸘᷹ߐࠇߚᒢᕈᵄવㅦᐲߣᲧ セߔࠆߚ㧘⪺⠪ࠄ߇ⴕߞߚଏ⹜ታ㛎ߢߩ⎇ⓥᚑᨐ8) ࠍ◲නߦㅀߴࠆ㧚 ଏ⹜ߪ㧘2000mm250mm6000mmߩPCࠬࡉߢ ࠆ㧚౮⌀-1߅ࠃ߮࿑-3ߦࠬࡉଏ⹜ߩⷐࠍ␜ߔ㧚ଏ ⹜ߩࠦࡦࠢ࠻ߩ᳓ࡔࡦ࠻Ყߪ37%ߢࠆ㧚ࠪ ࠬߪǾ35mmߩࠦࡦࠫ࠶࠻ࠪࠬ㧘PC㍑᧚ߦߪPC㍑B ⒳1ภǾ23mmࠍ↪ߒߚ㧚߹ߚ㧘ࠣ࠙࠻లႯᐲߩ㆑ ߇ᒢᕈᵄવㅦᐲߦਈ߃ࠆᓇ㗀ߦߟߡᬌ⸛ߔࠆߚ㧘 ࠣ࠙࠻ߩలႯᐲࠍ25㧘50㧘75%㧔࿑-3 ෳᾖ㧕ߣ㧘0%߅ ࠃ߮100%ߣᄌൻߐߖߚ㧚ࠣ࠙࠻లႯᐲ߇0߅ࠃ߮100% ߩ႐วߩࠬࡉଏ⹜ኸᴺ߅ࠃ߮᭴ᚑ᧚ᢱߪ㧘ߘߩઁߩ ࠣ࠙࠻లႯᐲߩଏ⹜㧔౮⌀-1߅ࠃ߮࿑-3 ෳᾖ㧕ߣห ߓߢࠆ㧚ߥ߅㧘ᧄ⎇ⓥߢߪ㧘ࠣ࠙࠻లႯᐲࠍ㧘ࠪ ࠬౝㇱోⓨ㓗ኈⓍߦኻߔࠆࠣ࠙࠻ኈⓍߩභࠆഀวߣ ߒߡቯ⟵ߒߚ㧚 㨇න㧦mm㨉 6000 ࠣ࠙࠻లႯᐲ㧦25% 250 50 0 ࠣ࠙࠻లႯᐲ㧦50% ࠣ࠙࠻లႯᐲ㧦75% 50 0 50 0 50 0 ࿑-3ࠬࡉଏ⹜
ࠣ࠙࠻లႯᐲ 1 2 3 4 5 6 7 8 9 10 0% 5176 m/s 5180 m/s 5180 m/s 5187 m/s 5189 m/s 5189 m/s 5185 m/s 5191 m/s 5190 m/s 5185 m/s 5185 m/s 0.3 50% 4958 m/s 4981 m/s 4966 m/s 4974 m/s 4933 m/s 4980 m/s 4975 m/s 4982 m/s 4978 m/s 4978 m/s 4971 m/s 1.0 100% 4459 m/s 4462 m/s 4516 m/s 4517 m/s 4516 m/s 4514 m/s 4508 m/s 4508 m/s 4502 m/s 4506 m/s 4501 m/s 1.3 ᛂ᠄࿁ᢙ㧔࿁㧕 ᐔဋ୯ ᄌേ㧔㧕 -1 ᛂ᠄࿁ᢙߏߣߩᒢᕈᵄવㅦᐲߩᄌേ 㧔㕙࿑㧕 AEࡦࠨ ᒢᕈᵄ ജ⟎ PC㍑ ࿑-4ᒢᕈᵄജ⟎߅ࠃ߮ฃᝄ⟎ ࿑-5ࠣ࠙࠻లႯᐲߣᒢᕈᵄવㅦᐲߩ㑐ଥ 4000 4500 5000 5500 0 25 50 75 100 లႯᛂ᠄ ᧂలႯᛂ᠄ ࠣ࠙࠻లႯᐲ㧔%㧕 ᒢᕈᵄવㅦᐲ㧔 m/ s㧕 ᒢᕈᵄߩജ⟎߅ࠃ߮ฃᝄ⟎ࠍ࿑-4ߦ␜ߔ㧚ᒢᕈ ᵄߩജ⟎ߪ㧘࿑ߦ␜ߔߣ߅ࠅ㧘PC㍑┵ㇱߩਛᄩ ㇱಽߣߒߚ㧚߹ߚ㧘ᒢᕈᵄߩജߦߪ㧘Ᏹߦ৻ቯߩᛂ᠄ ജࠍਈ߃ࠆߎߣ߇ߢ߈ࠆᛂ᠄ⵝ⟎㧔౮⌀-2㧕ࠍ↪ߚ㧚 ᒢᕈᵄߩജᣇะߩ㆑߇⹏ଔࡄࡔ࠲ߦਈ߃ࠆᓇ㗀 ࠍᛠីߔࠆߚ㧘ࠣ࠙࠻లႯ߅ࠃ߮ᧂలႯ߆ࠄߘ ࠇߙࠇ10࿁ߕߟPC㍑ࠍᛂ᠄ߒߚ㧚ᛂ᠄⁁ᴫࠍ౮⌀-3ߦ ␜ߔ㧚ߎߩⵝ⟎ߩᛂ᠄ㇱಽߪ㧘㍑ߩᒻ⁁ߣߥߞߡ ࠆ㧚ߘߩߚ㧘ࡄ࡞ࠬ⁁ߩᒢᕈᵄࠍജߔࠆߎߣ߇น⢻ ߢࠆ㧚 ৻ᣇ㧘ᒢᕈᵄߩฃᝄ⟎ߪ㧘PC㍑ਔ┵ㇱߩቯ⌕ࡊ ࠻㧔౮⌀-3 ෳᾖ㧕ߣߒߚ㧚߹ߚ㧘ᒢᕈᵄߩฃᝄ ߦߪ㧘150kHzᝄဳAEࡦࠨ㧔౮⌀-3 ෳᾖ㧕ࠍ↪ߒ ߚ㧚વᤨ㑆ߩ⸘᷹ߦߪ㧘AE⸘᷹ࠪࠬ࠹ࡓࠍ↪ߚ㧚 AEࡦࠨ㑆〒㔌ࠍવᤨ㑆ߢ㒰ߔߎߣߦࠃࠅᒢᕈᵄવ ㅦᐲࠍ▚ߒߚ㧚ᒢᕈᵄવㅦᐲࠍ⹏ଔᜰᮡߣߒߡ㧘 ㇱ᧚ゲᣇะߢߩࠣ࠙࠻లႯ⹏ଔࠍⴕߞߚ㧚 10࿁ߩᛂ᠄ߦࠃߞߡ⸘᷹ߐࠇߚᒢᕈᵄવㅦᐲࠍ㧘ࠣ ࠙࠻లႯᐲ߇0㧘50߅ࠃ߮100%ߦಽ㘃ߒߡ-1ߦߘࠇ ߙࠇ␜ߔ㧚ߎߩߦ␜ߔᄌേߣߪ㧘ฦలႯᐲߩࠤࠬ ߏߣߦ▚ߐࠇߚવㅦᐲߩᐔဋ୯ߦኻߔࠆㅦᐲߩᦨᄢ ୯߆ࠄᦨዊ୯ࠍᒁߚ୯ߩᲧ₸ߣߒߡ᳞ߚ߽ߩߢࠆ㧚 ߎࠇߦࠃࠆߣ㧘ߕࠇߩలႯᐲߩ႐ว߽㧘⸘᷹ߏߣߩવ ㅦᐲߩᄌേߪዊߐ㧚ߎߩߚ㧘ߎࠇએ㒠ߩᒢᕈᵄ વㅦᐲߪ㧘10࿁⸘᷹ߒߚવㅦᐲߩᐔဋ୯ࠍណ↪ߔࠆ ߎߣߣߒߚ㧚 ࿑-5ߦᒢᕈᵄવㅦᐲߣࠣ࠙࠻లႯᐲߣߩ㑐ଥࠍ␜ ߔ㧚ߎࠇߦࠃࠆߣ㧘ࠣ࠙࠻లႯᐲ߇ᄢ߈ߊߥࠆߦᓥߞ ߡ㧘ᒢᕈᵄવㅦᐲ߇ዊߐߊߥࠆะ߇⍎ߦ⏕ߢ߈ ࠆ㧚․ߦࠣ࠙࠻లႯᐲ߇0%ߩ႐วߦ⌕⋡ߔࠆߣ㧘વ ㅦᐲߪ5000m/sࠃࠅᄢ߈୯ࠍ␜ߒߡࠆߎߣ߇ࠊ߆ ࠆ㧚ߎࠇߪ㧘ജߐࠇߚᒢᕈᵄ߇PC㍑ߩߺࠍવߔ ࠆߚ㧘㍑නߢߩવㅦᐲߦㄭ୯ࠍ␜ߒߚ߽ߩߣ ⠨߃ࠄࠇࠆ㧚ߎࠇߦኻߒߡ㧘㍑ߩ࿐ߦࠣ࠙࠻߇ల Ⴏߐࠇߚ႐ว㧘㍑ߣࠣ࠙࠻߇৻ߣߥߞߚⶄวㇱ᧚ ਛࠍᒢᕈᵄ߇વߔࠆ㧚ߘߩߚ㧘ജߐࠇߚᒢᕈᵄߪ PC㍑ㄝߩࠣ࠙࠻ߦࠃࠆ᜔᧤ߩᓇ㗀ࠍฃߌࠆߚ㧘 ㍑නߩ႐วߣߪᒢᕈᵄߩવേ߇ࠄ߆ߦ⇣ߥࠆ㧚 ߎࠇߦࠃࠅ㧘ࠣ࠙࠻లႯᐲ߇ᄢ߈ߊߥࠆߦᓥ㧘ᒢᕈ ౮⌀-2ᛂ᠄ⵝ⟎ ᛂ᠄ⵝ⟎ AEࡦࠨ ౮⌀-3ᛂ᠄߅ࠃ߮ AEࡦࠨ⾍ઃߌ⁁ᴫ
౮⌀-4ᯅ PCᩴ (a) Aᯅ (b) Bᯅ ᵄવㅦᐲ߇ዊߐߊߥࠆ߽ߩߣ⠨ኤߢ߈ࠆ㧚ߒ߆߽㧘વ ㅦᐲߪ㧘ᒢᕈᵄ߇ࠣ࠙࠻ߣPC㍑ߩⶄวㇱ᧚ਛࠍ ࠃࠅ㐳ߊવߔࠆ߶ߤ㧘ߘߩᓇ㗀߇㗼⪺ߦࠇࠆߎߣ߇ ⏕ߢ߈ߚ㧚 ࿑-5ߦ߅ߡ㧘ᒢᕈᵄߩജᣇะߦ⌕⋡ߒߚ႐ว㧘 ജᣇะߩ㆑ߦࠃࠆㅦᐲᏅߪዊߐ㧚ߎࠇࠃࠅ㧘ታ᭴ㅧ ‛ߢߩ⸘᷹ߦ߅ߡ߽㧘ታ↪ߪജᣇะߩᓇ㗀ࠍ⠨ᘦ ߔࠆᔅⷐߪ߶ߣࠎߤߥ߽ߩߣ⠨߃ࠄࠇࠆ㧚 એߩߎߣ߆ࠄ㧘ᒢᕈᵄવㅦᐲߪ㧘ㇱ᧚ゲᣇะߦ߅ ߌࠆࠣ࠙࠻లႯ⹏ଔߦ߅ߡ㧘ᗵᐲߩ⦟ᅢߥ⹏ଔᜰᮡ ߢࠆߎߣ߇ࠄ߆ߣߥߞߚ㧚 (2) ታ᭴ㅧ‛ߢߩㆡ↪ታ㛎 a)ኻ⽎ߣߒߚታ᭴ㅧ‛ߩⷐ ଏ↪ਛߩᯅPCᩴߩᮮ✦㍑ࠍኻ⽎ߣߒߡ㧘ᒢᕈ ᵄવㅦᐲߩታ᭴ㅧ‛ߢߩࠣ࠙࠻లႯ⹏ଔ߳ߩㆡ↪ᕈ ߦߟߡታ㛎ࠍⴕߞߚ㧚PCᩴߩᮮ✦㍑ߪ㧘නߩ PCᩴࠍ᨞⸳ᓟ㧘ߢ߭ߣߟߩᯅ᭴ㅧ‛ߣߒߡ৻ ൻߔࠆߚߩ߽ߩߢࠆ㧚ߒߚ߇ߞߡ㧘⋥ធᵴ⩄㊀ߩᓇ 㗀ࠍฃߌࠆ߽ߩߢߪߥ߇㧘ߘߩᯏ⢻߇㍑ߩ⣣㘩ߦࠃ ࠅᷫߓࠆߎߣߪㆱߌࠆᔅⷐ߇ࠆ㧚 ታ㛎ࠍⴕߞߚㇱ᧚ߪ㧘౮⌀-4ߦ␜ߔ2⒳㘃ߩᯅ㧔Aᯅ ߅ࠃ߮Bᯅ㧕ߦ߅ߌࠆPCᩴߢࠆ㧚 ࿑-6ߦฦᯅߩᯅゲᣇะᢿ㕙࿑ࠍ␜ߔ㧚ߕࠇߩᯅ ߽㧘ߘࠇߙࠇࠅ✢߅ࠃ߮ਅࠅ✢ࠍߒߡࠆ㧚ฦᯅ ߦ߅ߌࠆᮮ✦㍑ߩ㈩⟎࿑ࠍ㧘⸘᷹▎ᚲ߅ࠃ߮㍑ฬ (a) Aᯅ ࿑-6ᯅゲᣇะᢿ㕙࿑ (b) Bᯅ ਅࠅ✢ ࠅ✢ ਅࠅ✢ ࠅ✢ 㨇න㧦mm㨉
౮⌀-5ᒢᕈᵄߩജ⁁ᴫ ᛂ᠄ⵝ⟎ ߣ૬ߖߡ࿑-7ߦ␜ߔ㧚࿑ਛߦߪ㧘ᯅฬࠍA߅ࠃ߮B㧘 ࠅ✢ߣਅࠅ✢ࠍߘࠇߙࠇU߅ࠃ߮Dߣߒߡ㧘⸘᷹ߒߚ ᮮ✦㍑ߩ⸥ภࠍ␜㧔߃߫㧘Aᯅࠅߩ⸘᷹▎ᚲ 1ߪAU1㧕ߒߚ㧚ߥ߅㧘વㅦᐲߩ⸘᷹ࠍⴕߞߚᮮ✦ ㍑ߪ㧘Aᯅࠅ✢9ᧄ㧘ਅࠅ✢24ᧄ㧘Bᯅਅ✢ߣ߽ฦ 12ᧄߩว⸘57ᧄߢࠆ㧚 b)႐ߢߩᒢᕈᵄ⸘᷹ᣇᴺ Aᯅ߅ࠃ߮Bᯅߦ߅ߌࠆᒢᕈᵄߩജ⟎߅ࠃ߮ฃᝄ ⟎ࠍ㧘ࡦࠨ㑆〒㔌ߣ૬ߖߡ࿑-8ߦ␜ߔ㧚Aᯅࠅ✢ 㧔࿑-8 (a) ෳᾖ㧕ߩ႐วߢߪ㧘႐ߦߡ⿷႐ࠍ⸳⟎ߔࠆ ߎߣ߇㔍ߒ⁁ᴫߛߞߚߚ㧘ߘߩઁߩࠤࠬߣ⇣ߥࠆ ࡦࠨ㈩⟎߅ࠃ߮ᛂ᠄⟎ߣߒߚ㧚ᒢᕈᵄߩജߦߪ㧘 ଏ⹜ታ㛎ߢ↪ߒߚᛂ᠄ⵝ⟎㧔౮⌀-2 ෳᾖ㧕ࠍ↪ ߚ㧚ᒢᕈᵄߩജߦߚߞߡߪ㧘೨ߦ⼔ࠦࡦࠢ ࠻ࠍߪߟࠅ㧘㍑┵ㇱࠍ㔺ߐߖߚ㧚ᛂ᠄ߪ㧘㍑┵ㇱ ߩਛᄩㇱಽߢⴕߞߚ㧚౮⌀-5ߦᒢᕈᵄߩജ⁁ᴫࠍ␜ߔ㧚 ᛂ᠄࿁ᢙߪ㧘ଏ⹜ታ㛎ߣห᭽ߦ10࿁ߣߒߚ㧚ᒢᕈᵄߩ ฃᝄߦߪ㧘౮⌀-6ߦ␜ߔࠃ߁ߦ㧘150kHzᝄဳAEࡦ ࠨࠍ↪ߒߚ㧚AEࡦࠨߪࠦࡦࠢ࠻㕙ߦធ⸅ᇦ ⾰ࠍߒߡࠟࡓ࠹ࡊߦࠃࠅ⾍ઃߌߚ㧚ߥ߅㧘ࡦࠨࠍ ⾍ઃߌࠆࠦࡦࠢ࠻㕙ㇱߪ㧘⚕߿ߔࠅߢ⎇⏴ߒ㧘ᐔ Ṗߦߒߚ㧚႐ߢߩવᤨ㑆⸘᷹ߪ㧘ଏ⹜ߢߩ⸘᷹ߣ ห᭽㧘AE⸘᷹ࠪࠬ࠹ࡓࠍ↪ߒ㧘ࡦࠨ㑆〒㔌ࠍવ ᢙሼ㧦ᒢᕈᵄવㅦᐲ⸘᷹㍑ ̪㧦ࠣ࠙࠻ౣలႯ㍑ ࿑-7ᮮ✦㍑㈩⟎࿑ 1 3 2 18 19 20 21 4 5 6 7 8 9 10 11 12 13 14 15 16 17 22 23 24 1 3 42 5 6 7 8 9 ᢙሼ㧦ᒢᕈᵄવㅦᐲ⸘᷹㍑ ̪㧦ࠣ࠙࠻ౣలႯ㍑ (a) Aᯅ (b) Bᯅ 1 3 2 4 5 6 7 8 9 10 11 12 1 3 2 4 5 6 7 8 9 10 11 12 ࠅ✢㧔AU㧕 ਅࠅ✢㧔AD㧕 ㍑ฬ ਅࠅ✢㧦AD1㨪24 ࠅ✢㧦AU1㨪9 ㍑ฬ ਅࠅ✢㧦BD1㨪12 ࠅ✢㧦BU1㨪12 ࠅ✢㧔BU㧕 ਅࠅ✢㧔BD㧕
5.51m ਅࠅ✢ ਅࠅ✢ ̪2) AD19㨪24: 5.45m 5.63m 㧔̪2㧕 ࠅ✢ 4.98m (a) Aᯅ (b) Bᯅ ࿑-8ᒢᕈᵄജ⟎ߣฃᝄ⟎߅ࠃ߮ሹ▎ᚲ 㧦ᒢᕈᵄജ⟎ 㧦AEࡦࠨ e ࠦࠕሹ▎ᚲ㧦a, b, c, d, e, f ࠅ✢ ̪1) AU8: 4.18m, AU9: 4.25m 4.35m 㧔̪1㧕 d c b a f d b a c a b c d a b c d ౮⌀-6AEࡦࠨ⾍ઃߌ⁁ᴫ ᤨ㑆ߢ㒰ߔߎߣߦࠃࠅવㅦᐲࠍ▚ߒߚ㧚 ৻ᣇ㧘ᓧࠄࠇߚᒢᕈᵄવㅦᐲߣታ㓙ߩࠣ࠙࠻లႯ ⁁ᴫߣߩኻᔕ㑐ଥߦߟߡᬌ⸛ߔࠆߚ㧘㍑ߏߣߦࠦ ࡦࠢ࠻ㇱಽࠍᢙࠞᚲሹߒ㧘⋡ⷞߦࠃߞߡࠪࠬౝ ㇱߩࠣ࠙࠻లႯ⁁ᴫࠍ⏕ߒߚ㧚߹ߚ㧘ሹߩ⚿ᨐ㧘 ⓨ㓗߇ࠄࠇߚࠪࠬߦߟߡߪ㧘ࠣ࠙࠻ߩౣలႯ ࠍⴕߞߚ㧚ߐࠄߦ㧘ߘߩᓟ㧘ౣ߮ᒢᕈᵄߩવㅦᐲ⸘᷹ ࠍⴕ㧘ࠣ࠙࠻ౣలႯ೨ᓟߢߩવㅦᐲߩᄌൻߦߟ ߡ߽૬ߖߡᬌ⸛ߒߚ㧚 c)⸘᷹⚿ᨐߣ⠨ኤ ᒢᕈᵄવㅦᐲ ࿑-9㨪10ߦ㧘Aᯅ߅ࠃ߮Bᯅߢᓧࠄࠇߚᒢᕈᵄવㅦ ᐲࠍ㧘ᮮ✦㍑⇟ภߣ૬ߖߡ␜ߔ㧚࿑-9 (a)ߪ㧘Aᯅ ࠅ✢ߢ⸘᷹ߒߚ9ᧄߩવㅦᐲߢࠆ㧚ߎࠇߦࠃࠆߣ㧘 ᄢඨߩࠤࠬߦ߅ߡ㧘વㅦᐲߪ4400m/s೨ᓟߩ୯ࠍ ␜ߒߡࠆ㧚ߎࠇߦኻߒߡ㧘AU4߅ࠃ߮AU9ߢߪ㧘ઁߩ ㍑ߣᲧセߒߡ㧘વㅦᐲ߇⋧ኻ⊛ߦᄢ߈ߊߥߞߡࠆ㧚 ․ߦAU9ߪ㧘વㅦᐲ߇5031m/sߣ⓭ߒߚ୯ߣߥߞߚ㧚 ߎࠇߪ㧘೨▵ߢߩଏ⹜ታ㛎ߢㅀߴߚߣ߅ࠅ㧘ജߐࠇ ߚᒢᕈᵄ߇PC㍑ࠍવߔࠆߣ߈㧘ࠣ࠙࠻ߦࠃࠆ৻ ൻߩᓇ㗀ߥߤࠍฃߌߥߎߣߦ࿃ߔࠆ߽ߩߣ⠨߃ࠄ ࠇࠆ㧚ࠃߞߡ㧘ߎࠇࠄ2ߟߩ㍑ߦߟߡߪ㧘AUࠪ ࠭ߩߘߩઁߩ㍑ࠃࠅ߽㧘ࠣ࠙࠻ᧂలႯ▎ᚲࠍน ⢻ᕈ߇㜞ߣ⠨߃ࠄࠇࠆ㧚 Aᯅਅࠅ✢ߢ⸘᷹ߒߚ24ᧄߩ㍑ߩવㅦᐲࠍ࿑-9 (b) ߦ␜ߔ㧚Aᯅਅࠅ✢ߢߪ㧘ࠅ✢ߦᲧߴߡ㧘ో⊛ߦ߿ ߿ዊߐߩ୯ࠍ␜ߒߡࠆ㧚߹ߚ㧘વㅦᐲ߇ᦨᄢߩ߽ ߩߢ5200m/s㧔AD24㧕㧘ᦨዊߩ߽ߩߢߪ3953m/s㧔AD23㧕 ߣ㧘ห৻ߩᩴߦ߅ߌࠆㅦᐲߩಽᏓߪᄢ߈㧚ዋߥߊߣ ߽ߎࠇࠄߩ⚿ᨐࠃࠅ㧘ࠅ✢ߦᲧߴࠇ߫ਅࠅ✢ߩᣇ߇㧘 ኻ⽎ߣߒߚ㍑ߩࠣ࠙࠻లႯ⁁ᘒߩࡃ࡚ࠛࠪࡦߪ ᄢ߈น⢻ᕈ߇⠨߃ࠄࠇࠆ㧚߹ߚ㧘ᒢᕈᵄવㅦᐲ߇ 5000m/sࠍ߃ࠆAD20ࠆߪAD24ߦߟߡߪ㧘ࠅ✢ (b) ജ⟎ߣኻߩ AEࡦࠨ AEࡦࠨ (a) ᒢᕈᵄജ⟎ㄭறߩ AEࡦࠨ AEࡦࠨ
1 2 3 4 5 6 7 8 9 101112131415161718192021222324 3500 4000 4500 5000 5500 ᮮ✦㍑⇟ภ ᒢᕈ ᵄવ ㅦ ᐲ (m/ s) 1 2 3 4 5 6 7 8 9 3500 4000 4500 5000 5500 ᮮ✦㍑⇟ภ ᒢᕈ ᵄવ ㅦ ᐲ (m/ s) ࿑-9ᒢᕈᵄવㅦᐲ㧔Aᯅ㧕 (b) ਅࠅ✢㧔AD㧕 (a) ࠅ✢㧔AU㧕 1 2 3 4 5 6 7 8 9 10 11 12 3500 4000 4500 5000 5500 ᮮ✦㍑⇟ภ ᒢᕈ ᵄવ ㅦ ᐲ (m/ s) 1 2 3 4 5 6 7 8 9 10 11 12 3500 4000 4500 5000 5500 ᮮ✦㍑⇟ภ ᒢᕈ ᵄવ ㅦ ᐲ (m/ s) ࿑-10ᒢᕈᵄવㅦᐲ㧔Bᯅ㧕 (b) ਅࠅ✢㧔BD㧕 (a) ࠅ✢㧔BU㧕 ߢߩ⠨ኤ⚿ᨐߣห᭽㧘ADࠪ࠭ߩߘߩઁߩ㍑ࠃࠅ ߽ࠣ࠙࠻ᧂలႯ▎ᚲࠍน⢻ᕈߪ㜞ߣ⠨߃ࠆ㧚 Bᯅࠅ✢߅ࠃ߮ਅࠅ✢ߩ⸘᷹⚿ᨐࠍ࿑-10ߦ␜ߔ㧚ߎ ߜࠄ߽㧘Bᯅߢߩવㅦᐲߪ㧘Aᯅߩ႐วߣห᭽ߦ㧘⚂ 4000m/s⒟ᐲ㨪⚂5000m/s⒟ᐲߩ▸࿐ߦಽᏓߒߡࠆ㧚߹ ߚ㧘ਅࠅ✢ߢߪ㧘ࠅ✢ࠃࠅ߽ㅦᐲߩᄢ߈ߥ߽ߩߩഀว ߇㜞ߎߣߥߤ߇ߡขࠇࠆ㧚㍑ߏߣߦߺࠇ߫㧘BU5 ߿BU6㧘ࠆߪBD9߿BD11ߩࠃ߁ߦ㧘વㅦᐲ߇ 5000m/sࠍ߃ࠆ߽ߩߢߪ㧘ઁߩ߽ߩߣᲧセߒߡࠣ࠙ ࠻ᧂలႯ▎ᚲࠍน⢻ᕈ߇㜞ߣផኤߐࠇࠆ㧚 ⸥ࠃࠅ㧘ታ᭴ㅧ‛ߢ⸘᷹ߐࠇࠆવㅦᐲߪ㧘㍑ߏ ߣߦ᭽ޘߥ୯ࠍ␜ߔ߽ߩߩ㧘ߕࠇߩᩴߦ߅ߡ߽⚂ 4000m/s⒟ᐲ㨪⚂5000m/s⒟ᐲߩ▸࿐ౝߦಽᏓߔࠆߎߣ߇ ࠄ߆ߣߥߞߚ㧚߹ߚ㧘ߎߩ୯ߩ▸࿐ߪ㧘ଏ⹜ታ㛎ߢ ߩ⚿ᨐ߿ᣢᓔߩ⎇ⓥᚑᨐ8), 15)ߣ߽⦟ᢛวࠍ␜ߒߡࠆ ߎߣ߇ࠊ߆ߞߚ㧚 ሹ⚿ᨐ ᒢᕈᵄવㅦᐲߣታ㓙ߩࠣ࠙࠻లႯ⁁ᴫߣߩ㑐ଥࠍ ᛠីߔࠆߚ㧘એਅߩ3ߟߩࠣ࡞ࡊ߆ࠄ㧘ߘࠇߙࠇ6㨪 9ᧄߩ㍑ࠍ㧔-2ෳᾖ㧕ߒ㧘ࠦࠕሹߦࠃࠆ⋡ⷞ ⏕ࠍⴕߞߚ㧚 ( i ) વㅦᐲ߇4800m/sએߩࠣ࡞ࡊ ( ii ) વㅦᐲ߇4300m/sᧂḩߩࠣ࡞ࡊ ( iii ) વㅦᐲ߇4300m/sએߢ4800m/sᧂḩߩࠣ࡞ࡊ ࠦࠕሹߩታᣉ▎ᚲࠍ㧘ฦᩴߢߩᯅゲᣇะߦ߅ߌࠆᢿ 㕙࿑ߣߒߡߦ࿑-8␜ߔ㧚߹ߚ㧘ሹߦࠃࠅ⏕ߒߚࠣ ࠙࠻ߩలႯ⁁ᴫࠍ㧘ᒢᕈᵄવㅦᐲߣ૬ߖߡ-2ߦ␜ߔ㧚 ߎࠇߦࠃࠆߣ㧘( i )ߩࠣ࡞ࡊߢߪ㧘AD24ߩaࠍ㒰ߊో ߡߩሹ▎ᚲߦ߅ߡࠣ࠙࠻ᧂలႯ߇⏕ߐࠇߚ㧚ࠪ ࠬౝㇱߩࠣ࠙࠻ᧂలႯ⁁ᴫߩ৻ࠍ౮⌀-7ߦ␜ߔ㧚 AD24ߩaߢߪ㧘ࠣ࠙࠻ߩలႯ߇⏕ߢ߈ߚ߽ߩߩ㧘ห ㍑ߩc, d߅ࠃ߮eߩሹ▎ᚲߢߪࠣ࠙࠻ᧂలႯ߇
౮⌀-7ࠣ࠙࠻ᧂలႯ⁁ᴫ ࠪࠬ PC㍑ ࠄࠇߡ߅ࠅ㧘㍑ో㐳ߦࠊߚߞߡࠣ࠙࠻ᧂలႯ▎ᚲߩ භࠆഀวߪᄢ߈ߣផቯߢ߈ࠆ㧚ߕࠇߦߒߡ߽㧘વ ㅦᐲ߇ᄢ߈ߥ㍑ߪ㧘ሹߦࠃࠆ⋡ⷞ⏕ߩ⚿ᨐ㧘߶ ߣࠎߤߩ႐วߢࠣ࠙࠻ᧂలႯ▎ᚲࠍߎߣ߇ࠄ߆ ߣߥߞߚ㧚
( ii )ߩࠣ࡞ࡊߢߪ㧘AD22 d㧘AD23 a, c߅ࠃ߮BU8 cߩ
▎ᚲߦ߅ߡ㧘ࠣ࠙࠻ߩలႯ߇⏕ߢ߈ߚ㧚વㅦᐲ ߇ዊߐߎߣߪ㧘ࠣ࠙࠻లႯ߇⦟ᅢߢࠆߎߣߣኻᔕ ߔࠆߎߣࠍ␜ໂߔࠆታߣߣࠄ߃ࠆߎߣ߇ߢ߈ࠆ㧚৻ᣇ㧘 AD4㧘AD23߅ࠃ߮BD7ߢߪ㧘ࠣ࠙࠻ᧂలႯ▎ᚲ߇ ࠄࠇߚ߇㧘ߐࠄߦࠪࠬౝㇱߦ㈩⟎ߐࠇߚ㍑ߦ ነࠅ ߇ࠅ㧘ࠪࠬߣ㍑ߣ߇ធ⸅ߒߡࠆߎߣ߽ࠄ߆ߣ ߥߞߚ㧚ߎࠇࠄߩࠤࠬߢߪ㧘ࠪࠬߣ㍑ߣߩធ⸅ߩ ᓇ㗀ߦࠃࠅ㧘ജߒߚᒢᕈᵄ߇ࠪࠬࠍߒߡࠦࡦࠢ ࠻ㇱಽߦવߔࠆᒻᘒ߽ࠅᓧࠆ㧚ߎߩ႐วߪ㧘ࠣ ࠙࠻లႯ߇⦟ᅢߥ႐วߣห᭽ߦ㧘વㅦᐲ߇߆ߌዊ ߐߊߥࠆน⢻ᕈ߽⠨߃ࠄࠇࠆ㧚 ή AD2 4040 䋭 d 䋭 AD4 4081 䋭 d ነ䉍 AD22 4010 d 䋭 䋭 AD23 3953 a , c d , e ነ䉍㩷㩿㪼㪀 BU8 4220 c 䋭 䋭 BD7 4170 䋭 c ነ䉍 (ii) વㅦᐲ߇4300m/sᧂḩߩࠣ࡞ࡊ ㍑⇟ภ વㅦᐲ (m/s) ࠣ࠙࠻ߩή ⠨ -2ሹ⚿ᨐߣવㅦᐲ ή AU9 5031 䋭 c 䋭 AD20 5009 䋭 d 䋭 AD24 5200 a c , d , e 䋭 BU5 5119 䋭 b , c 䉲䊷䉴⣣㘩 BU6 5195 䋭 c 䋭 BU11 4922 䋭 b , c 䋭 BD4 4869 䋭 b , c 䋭 BD9 5043 䋭 c 䋭 BD11 5262 䋭 c 䋭 ࠣ࠙࠻ߩή ⠨ ㍑⇟ภ (i) વㅦᐲ߇4800m/sએߩࠣ࡞ࡊ વㅦᐲ (m/s) ή AU3 4363 b , c 䋭 䋭 AU4 4646 䋭 c 䋭 AD5 4556 c , e 䋭 䋭 AD14 4351 d 䋭 䋭 AD15 4554 c , d 䋭 䋭 AD16 4696 䋭 c , e ነ䉍 BU3 4410 c 䋭 䋭 BD12 4467 䋭 c 䋭 (iii) વㅦᐲ߇4300m/sએߢ4800m/sᧂḩߩࠣ࡞ࡊ ㍑⇟ภ વㅦᐲ (m/s) ࠣ࠙࠻ߩή ⠨ ነࠅ㧦ࠪࠬߦ৻ㇱធ⸅ߒߡߚ㧚 ࠪࠬ⣣㘩㧦ࠪࠬߩ⣣㘩߇৻ㇱ⏕ߢ߈ߚ㧚
ࠣ࠙࠻లႯ೨㧘 ࠣ࠙࠻లႯᓟ ࿑-11ᒢᕈᵄવㅦᐲߩᄌൻ㧦ࠣ࡞ࡊi 3500 4000 4500 5000 5500 ᮮ✦㍑⇟ภ ᒢᕈ ᵄવ ㅦ ᐲ (m /s)
AD20 AD24 BU5 BU6 BU11 BD4 BD9 BD11
ࠣ࠙࠻లႯ೨㧘 ࠣ࠙࠻లႯᓟ ࿑-13ᒢᕈᵄવㅦᐲߩᄌൻ㧦ࠣ࡞ࡊiii 3500 4000 4500 5000 5500 ᮮ✦㍑⇟ภ ᒢᕈ ᵄવ ㅦ ᐲ (m /s) AU4 AD16 BD12 ࿑-12ᒢᕈᵄવㅦᐲߩᄌൻ㧦ࠣ࡞ࡊii 3500 4000 4500 5000 5500 ᮮ✦㍑⇟ภ ᒢᕈ ᵄવ ㅦ ᐲ (m /s)
AD2 AD4 AD23 BD7
ࠣ࠙࠻లႯ೨㧘 ࠣ࠙࠻లႯᓟ ( iii )ߩࠣ࡞ࡊߦ߅ߡߪ㧘ࠣ࠙࠻లႯ߅ࠃ߮ᧂల Ⴏߩਔᣇ߇ᷙߒߡߚ㧚 ࠣ࠙࠻ౣలႯᓟߩવㅦᐲ ሹ⚿ᨐࠍၮߦ㧘⋡ⷞߦࠃࠅࠣ࠙࠻ᧂలႯ߇⏕ߐ ࠇߚ▎ᚲࠍኻ⽎ߦ㧘ࠣ࠙࠻ߩౣలႯࠍታᣉߒߚ㧚ࠣ ࠙࠻ߩౣలႯࠍⴕߞߚ㍑ࠍ㧘࿑-7ਛߦ̪ශߢ␜ߔ㧚ࠣ ࠙࠻ౣలႯᓟ㧘ౣᐲหߓᣇᴺߢ㧘ᒢᕈᵄવㅦᐲߩ⸘ ᷹ࠍⴕߞߚ㧚 ࿑-11㨪13ߦࠣ࠙࠻ౣలႯᓟߩવㅦᐲࠍ㧘ౣలႯ ೨ߩ߽ߩߣ૬ߖߡ␜ߔ㧚ߎߎߢߪ㧘೨▵ߢಽ㘃ߒߚࠣ࡞ ࡊ( i )㨪( iii )ߏߣߦ㧘ౣలႯ೨ᓟߢߩવㅦᐲߩᄌൻࠍ ߘࠇߙࠇᢛℂߒߚ㧚 ߎࠇߦࠃࠇ߫㧘ࠣ࡞ࡊ( i )㧔࿑-11 ෳᾖ㧕㧘߅ࠃ߮ࠣ ࡞ࡊ( iii )㧔࿑-13 ෳᾖ㧕ߢߪ㧘ߕࠇߩ㍑ߦ߅ߡ ߽㧘ࠣ࠙࠻ౣలႯᓟߩવㅦᐲߪౣలႯ೨ࠃࠅ߽ዊߐ ߊߥߞߡࠆ㧚ߒ߆߽㧘ࠣ࠙࠻ౣలႯ೨ᓟߢߩㅦᐲߩ Ꮕߪ㧘ࠣ࡞ࡊ( i )ߩ߽ߩߢ㧘ࠃࠅ㗼⪺ߢࠆ㧚ߎࠇߪ㧘 ࠣ࡞ࡊ( iii )ࠃࠅ߽ࠣ࡞ࡊ( i )ߢߪ㧘ࠣ࠙࠻ᧂలႯ▎ ᚲߩഀว߇ᄢ߈ߊ㧘⚿ᨐ⊛ߦࠣ࠙࠻ౣలႯߦࠃߞߡ㧘 ᣂߚߦࠣ࠙࠻ߢⷒࠊࠇߚ㍑ㇱಽߩഀว߇ᄢ߈ߊߥࠅ㧘 ౣలႯ೨ᓟߢߩㅦᐲᏅ߇ᄢ߈ߊߥߞߚ߽ߩߣផኤߐࠇࠆ㧚 ߹ߚ㧘ࠣ࡞ࡊ( ii )ߢߪ㧘વㅦᐲߪౣలႯ೨ᓟߢࠊߕ ߆ߦㅒォߒߚ߽ߩ߇ߺࠄࠇߚ߇㧘୯ߩᄌേߪዊߐ㧚ࠣ ࡞ࡊ( ii )ߩ㍑ߪ㧘ᧂలႯ▎ᚲߪࠄࠇߚ߽ߩߩ㧘 ߽ߣ߽ߣߘߩഀว߇ዊߐߊ㧘ౣలႯߒߚࠣ࠙࠻ߩ㊂߽ ዋߥ߆ߞߚ㧚ߘߩߚ㧘ౣలႯ೨ᓟߢߩࠣ࠙࠻లႯᐲ ߩᄌൻߪዊߐߊ㧘વㅦᐲߩᄌേߪዊߐߊߥߞߚ߽ߩߣ ⠨߃ࠄࠇࠆ㧚୯ߩㅒォ⽎ߦߟߡߪ㧘ㅦᐲ⸘᷹ߩ⺋ Ꮕߥߤߦࠃࠆ߽ߩߣ⠨߃ࠄࠇࠆ߇㧘⚦ߥℂ↱ߪਇߢ ࠆ㧚 ߎࠇࠃࠅ㧘ࠣ࠙࠻ౣలႯߩ೨ᓟߢߩᒢᕈᵄવㅦᐲ ࠍᲧセߔࠆߎߣߦࠃࠅ㧘ࠣ࠙࠻ౣలႯߩ⦟ุࠍ⏕ߢ ߈ࠆน⢻ᕈ߇␜ߐࠇߚ㧚 3.ㇱ᧚ᢿ㕙ᣇะߢߩࠣ࠙࠻లႯ⹏ଔ (1) ଏ⹜ታ㛎ߦࠃࠆ⹏ଔᜰᮡߩ⏕ߣᚻᴺߩᡷༀ ࠗࡦࡄࠢ࠻ࠛࠦᴺߦࠃࠆࠣ࠙࠻లႯ⹏ଔߩේℂࠍ ࿑-14ߦ␜ߔ㧚ߎߩᚻᴺߪ㧘ࠣ࠙࠻ᧂలႯߦࠃࠆⓨ㓗 ࠍ㧘ᛂ᠄ߦࠃࠅᓧࠄࠇߚฃᝄᵄߩᵄᢙಽᏓ߆ࠄ⹏ଔߔ ࠆ߽ߩߢࠆ㧚ߘߩ⹏ଔߦߚߞߡߪ㧘ᵄᢙಽᏓߦ߅ ߌࠆ❑ᵄᝄߦࠃࠆࡇࠢࠍᵴ↪ߔࠆ㧚ߥ߅㧘࿑ਛߦ߅ ߌࠆ᧼ෘ߿ⓨ㓗ߦࠃࠆ❑ᵄᝄߦࠃࠆࡇࠢᵄᢙߪ㧘 એਅߩᑼߦࠃࠅ▚ߐࠇࠆ㧚 㨒᧼ෘ㧩0.96V / 2T (1) 㨒ⓨ㓗㧩0.96V / 2d (2) ߎߎߢ㧘㨒᧼ෘ㧦᧼ෘߦࠃࠆࡇࠢᵄᢙ㧘㨒ⓨ㓗㧦ⓨ㓗 ߦࠃࠆࡇࠢᵄᢙ㧘V㧦❑ᵄߩવㅦᐲ㧘T㧦᧼ෘ㧘 d㧦ࠪࠬౝㇱߩⓨ㓗߹ߢߩᷓߐߢࠆ㧚ߥ߅㧘ᑼ(1)߅ ࠃ߮(2)ߦ߅ߌࠆ 0.96ߪ㧘ᒻ⁁ଥᢙ10)ߢࠆ㧚 ⸥ߩࠗࡦࡄࠢ࠻ࠛࠦᴺߩ⹏ଔේℂߩࠣ࠙࠻లႯ ⹏ଔ߳ߩㆡ↪ᕈࠍ⏕ߔࠆߚ㧘࿑-15 ߦ␜ߔଏ⹜ࠍ ߒߚ㧚ଏ⹜ౝㇱߦߪ㧘Ǿ90mm ߩࠬࡄࠗ࡞ࠪ
ࠬ㧔ࠣ࠙࠻ᧂలႯ㧕ࠍၒ⸳ߒߚ㧚߹ߚ㧘ࠦࡦࠢ࠻ 㕙߆ࠄⓨ㓗߹ߢߩᷓߐࠍᄌൻߐߖࠆߎߣࠍ⋡⊛ߦ㧘ࠪ ࠬၒ⸳ᷓߐ߇60mm ߆ࠄ 250mm ߳ㅪ⛯⊛ߦᄌൻߔࠆ ࠃ߁ߦ㧘ଏ⹜㐳ᚻᣇะߦ߅ߌࠆਛᄩㇱಽߦߡ㧘5ºߩⷺ ᐲߢᢳߦᦛߍߍߚ㧚ࠪࠬ߹ߢߩᷓߐߪ㧘ଏ⹜ ᓟ㧘㔚⏛ᵄ࠳ᴺߦࠃࠅ⏕ߒߚ㧚 ᒢᕈᵄߩജ߅ࠃ߮ฃᝄ⟎ߪ㧘࿑-15 ߦ߅ߌࠆ٧ߩ ⟎ߢࠆ㧚࿑ߦ␜ߔ⸘᷹⟎ߦ߅ߡ㧘㍑ᛂ᠄ߦࠃ ࠆᒢᕈᵄߩജߣᄌᵄᒻߩฃᝄࠍ㧘ࠪࠬਛᄩㇱߩ⋥ ߩࠦࡦࠢ࠻㕙ߦߡⴕߞߚ㧚↪ࠆ㍑⋥ᓘߩㆬ ቯߦߚߞߡߪ㧘⪺⠪ࠄ߇ㆊߦⴕߞߚ⎇ⓥᚑᨐ13)ࠍෳ ⠨ߦߒ㧘ജߐࠇߚᒢᕈᵄߩ㒢ᵄᢙ߇ⓨ㓗߆ࠄߩ ߦ࿃ߔࠆ❑ᵄᝄߩࡇࠢᵄᢙࠍචಽ࿁ࠆࠃ߁ ⠨ᘦߒߚ㧚 ᒢᕈᵄߩฃᝄߦߪ㧘0㨪1MHz ߩ㑆ߢࡈ࠶࠻ߥᔕ╵ ᗵᐲ 14㧕ࠍߔࠆࠦ࠾ࠞ࡞ဳ㜞ᗵᐲᄌࡦࠨࠍ↪ߚ㧚 ᵄᢙಽᏓߩ▚ߦߚߞߡߪ㧘એਅߩi 㨪 iiiߦ␜ߔ 3 ࠤࠬߦߟߡ㧘Ყセᬌ⸛ࠍⴕߞߚ㧚 i) ฃᝄᵄᒻࠍήಣℂߩ⁁ᘒߢ FFT ߦࠃࠅᵄᢙಽᏓࠍ ▚㧔એ㒠㧘ᓥ᧪ᴺߦࠃࠆᵄᢙಽᏓ㧕 ii) ฃᝄᵄᒻߦ߅ߡ㕙ᵄࠍ㒰ߒ㧘ߘߩᓟ FFT ߦࠃ ࠅᵄᢙಽᏓࠍ▚㧔એ㒠㧘RcutᵄᢙಽᏓ㧕 iii) ฃᝄᵄᒻߦ߅ߡ㕙ᵄࠍ㒰ߒ㧘ߘߩᓟ MTM ߦ ࠃࠅᵄᢙಽᏓࠍ▚㧔એ㒠㧘MTMᵄᢙಽᏓ㧕 ߎߩ߁ߜ ii ߅ࠃ߮ iii ߦ߅ߌࠆ㕙ᵄߩ㒰ߣߪ㧘ฃ ᝄᵄᒻߦ߅ߡࠦࡦࠢ࠻㕙ࠍવߒߚPᵄ߅ࠃ߮ 㕙ᵄߩᝄ㔚ࠍ0V ߣߺߥߔᵄᒻಣℂ10)ࠍߐߔ㧚৻ ᣇ㧘iii ߩ MTM ߣߪ㧘ࠨࡦࡊࡦࠣᤨ㑆ߏߣߦ sinc 㑐ᢙ ߢㄭૃߒߚ▫ဳ࠙ࠖࡦ࠼࠙ࠍߒߡ㧘ࡃࡦ࠼ߏߣߦࠬ ࡍࠢ࠻࡞ࠍផቯߔࠆᚻᴺߢࠆ㧚ߘߩߚ㧘FFT ߣᲧセ ߒߡ㧘ࠬࡍࠢ࠻࡞ផቯߦ߅ߌࠆಽᢔߩᓇ㗀ࠍࠃࠅᷫዋߐ ߖࠆߎߣ߇น⢻ߥᵄᢙಽᨆᚻᴺ12㧕ߢࠆ㧚 ߥ߅㧘ࠦࡦࠢ࠻ㇱಽߩᒢᕈᵄવㅦᐲߩ⸘᷹ߪ㧘 ࠪࠬ߅ࠃ߮㋕╭ߩ⋥ࠍㆱߌ㧘࿑-15 ߦ߅ߌࠆශߢ ታᣉߒߚ㧚વㅦᐲߪ㧘❑ᵄᝄᵄᢙߣଏ⹜ෘߐ ࠦࡦࠢ࠻ d T 㧦᧼ෘ 㧦ࠪࠬ߹ߢߩᷓߐ d T ㍑ ࠪࠬ ᵄᢙ 㨒᧼ෘ 㨒ⓨ㓗 ࠬ ࡍࠢ࠻࡞ ᒝᐲ 㧔ࠣ࠙࠻ᧂలႯ㧕 㧔᧼ෘ㧕 㨒᧼ෘ ᵄᢙ ࠬ ࡍࠢ࠻࡞ ᒝᐲ ࿑-14 ࠗࡦࡄࠢ࠻ࠛࠦᴺߩᔨ࿑ ⓨ㓗 㧦ⴣ᠄ 㧦ࡦࠨ ࿑-15 ଏ⹜ⷐ࿑ d=100mm 500 60 250 4000 2000 1000 1000 60 500 250 D10 ⓨ㓗 㨇න㧦mm㨉 ٧㧦ᒢᕈᵄ⸘᷹⟎ 㧦વㅦᐲ⸘᷹⟎ 㕙 ᐩ㕙 2000 850 1650 㕙 ᐩ㕙 㕙 ࠪࠬ ࠦࡦࠢ࠻ ᐩ㕙 500 60 250 500 60 250 4000 2000 1000 1000 60 500 250 D10 ⓨ㓗 㨇න㧦mm㨉 ٧㧦ᒢᕈᵄ⸘᷹⟎ 㧦વㅦᐲ⸘᷹⟎ 㕙 ᐩ㕙 2000 850 1650 㕙 ᐩ㕙 㕙 ࠪࠬ ࠦࡦࠢ࠻ ᐩ㕙 4000 2000 1000 2000 1000 1000 1000 60 500 250 D10 ⓨ㓗 㨇න㧦mm㨉 ٧㧦ᒢᕈᵄ⸘᷹⟎ 㧦વㅦᐲ⸘᷹⟎ 㨇න㧦mm㨉 ٧㧦ᒢᕈᵄ⸘᷹⟎ 㧦વㅦᐲ⸘᷹⟎ 㕙 ᐩ㕙 2000 850 1650 㕙 ᐩ㕙 㕙 ࠪࠬ ࠦࡦࠢ࠻ ᐩ㕙 d=250mm d=180mm ٧㧦ࠣ࠙࠻లႯ⹏ଔታᣉ▎ᚲ㧔ᒢᕈᵄߩജ߅ࠃ߮ฃᝄ⟎㧕 㧦ࠣ࠙࠻లႯ⹏ଔߦ↪ࠆᒢᕈᵄવㅦᐲߩ⸘᷹⟎ d 㧦ࠪࠬၒ⸳ᷓߐ 㨇න㧦mm㨉
࿑-16 ଏ⹜ታ㛎⚿ᨐ ࠤࠬiii㧦MTMᵄᢙಽᏓ ࠪࠬၒ⸳ᷓߐߦ⋧ᒰߔࠆ❑ᵄᝄᵄᢙ d㧦ࠪࠬၒ⸳ᷓߐ ࠤࠬi㧦ᓥ᧪ᴺߦࠃࠆᵄᢙಽᏓ ㍑⋥ᓘ6.0 mm 㨐㧩140 mm 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍ ࠢ࠻࡞ᒝ ᐲ ㍑⋥ᓘ8.0 mm 㨐㧩180 mm 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍ ࠢ࠻࡞ᒝ ᐲ ㍑⋥ᓘ12.8 mm 㨐㧩250 mm 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍ ࠢ࠻࡞ᒝ ᐲ ࠤࠬii㧦RcutᵄᢙಽᏓ ㍑⋥ᓘ6.0 mm 㨐㧩140 mm 0 10 20 30 40 ᵄᢙ (kHz) ࠬ ࡍࠢ࠻ ࡞ᒝᐲ ㍑⋥ᓘ8.0 mm 㨐㧩180 mm 0 10 20 30 40 ᵄᢙ (kHz) ࠬ ࡍࠢ࠻ ࡞ᒝᐲ ㍑⋥ᓘ12.8 mm 㨐㧩250 mm 0 10 20 30 40 ᵄᢙ (kHz) ࠬ ࡍࠢ࠻ ࡞ᒝᐲ 㧔500mm㧕߆ࠄ▚ߒߚ㧚ⶄᢙ▎ᚲߢߩ▚ࠍᐔဋߒߡ㧘 વㅦᐲࠍ3900m/sߣߒߚ㧚 ࿑-16 ߦ㧘ࠪࠬၒ⸳ᷓߐ߇ 140㧘180 ߅ࠃ߮ 250mm ߦ߅ߌࠆ㧘ࠤࠬi 㨪 iiiߢᓧࠄࠇߚᵄᢙಽᏓࠍߘࠇߙ ࠇ␜ߔ㧚ᒢᕈᵄߩജߦ↪ߒߚ㍑ߩ⋥ᓘߪ㧘6.0㧘 8.0 ߅ࠃ߮ 12.8mm ߢࠆ㧚߹ߚ㧘࿑ਛߩ⍫ශߪଏ⹜ෘ ߐߦᔕߓߚ❑ᵄᝄᵄᢙߢࠅ㧘⎕✢ߪࠪࠬၒ⸳ᷓ ߐߦ⋧ᒰߔࠆ❑ᵄᝄᵄᢙ㧔એ㒠㧘㨒ⓨ㓗ߣߔࠆ㧕ࠍ ␜ߒߡࠆ㧚 ࠤࠬi ߢߪ㧘4kHz ઃㄭߦଏ⹜ߩෘߐߦᔕߓߚ❑ᵄ ᝄᵄᢙ߇⏕ߢ߈ࠆ㧚ߒ߆ߒߥ߇ࠄ㧘ߘࠇߣหᤨߦ㧘 ᐢᵄᢙ㗔ၞߦࠊߚߞߡ㧘ᚑಽߩಽᏓ߇ߺࠄࠇࠆ㧚 ߕࠇߩࠪࠬၒ⸳ᷓߐߦ߅ߡ߽㧘න⁛ߩࡇࠢࠍ․ ቯߔࠆߎߣߪ㔍ߒߊ㧘㨒ⓨ㓗ࠍ⍎ߦᛠីߢ߈ࠆߣߪ⸒ 㔍㧚ߎࠇߦኻߒߡ㧘ࠤࠬii ߢߪ㧘ࠤࠬ i ߣᲧセ ߔࠆߣ㧘㜞ᵄ㗔ၞߩᚑಽ߇ᷫዋߔࠆߎߣߦࠃࠅ㧘⸘▚ ߩ㨒ⓨ㓗ߦㄭᵄᢙࡇࠢ߇ࠃࠅ⏕ߦᛠីߢ߈ࠆ㧚 ߎࠇࠃࠅ㧘ฃᝄᵄࠃࠅ㕙ᵄᚑಽࠍ㒰ߔࠆߎߣߦࠃߞ ߡ㧘ⓨ㓗߆ࠄߩߩ․ᓽ߇⹏ଔߒ߿ߔߊߥࠆߎߣ߇ᡷ ߡ⏕ߐࠇߚ㧚ࠤࠬ iii ߦ߅ߡߪ㧘᧼ෘߦ⋧ᒰߔ ࠆࡇࠢ㧘ⓨ㓗߆ࠄߩߦ࿃ߔࠆࡇࠢߩਔ⠪ߩߺ ߇⍎ߦᓧࠄࠇߡࠆ㧚ߒ߆߽㧘ⓨ㓗ߦ࿃ߔࠆࡇࠢ ᵄᢙߩ୯ߪ㧘⸘▚ߩ㨒ⓨ㓗ߣ⦟ߊ৻⥌ߒߡࠆ㧚 એߩߎߣ߆ࠄ㧘ฃᝄᵄߦ߅ߌࠆ㕙ᵄߩ㒰ߣ MTM ߣࠍ૬↪ߔࠆߎߣ߇㧘ⓨ㓗߆ࠄߩᵄᢙࡇࠢࠍ ᬌߔࠆߢᭂߡല₸⊛ߢࠆߎߣ߇ࠊ߆ߞߚ㧚 ㍑⋥ᓘ6.0 mm 㨐㧩140 mm 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍ ࠢ࠻࡞ᒝ ᐲ ㍑⋥ᓘ8.0 mm 㨐㧩180 mm 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍ ࠢ࠻࡞ᒝ ᐲ ㍑⋥ᓘ12.8 mm 㨐㧩250 mm 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍ ࠢ࠻࡞ᒝ ᐲ 㧦ଏ⹜ෘߐߦᔕߓߚ❑ᵄᝄᵄᢙ
-3 ࠪࠬၒ⸳ᷓߐߦᔕߓߚജᣇᴺ㧔㍑⋥ᓘ㧕 ࠪ ࠬ ၒ ⸳ ᷓ ߐ ( m m ) ㍑ ⋥ ᓘ ( m m ) 1 5 0 એ ਅ 6 .0 1 6 0 㨪 1 8 0 8 .0 1 9 0 9 .6 2 0 0 㨪 2 2 0 1 1 .0 2 3 0 㨪 2 5 0 1 2 .8 2 6 0 1 5 .7 ౮⌀-8 ᯅ PCᩴ (2) ታ᭴ㅧ‛ߢߩㆡ↪ታ㛎 a)ኻ⽎ߣߒߚታ᭴ㅧ‛ߩⷐ ታ᭴ㅧ‛ߦኻߔࠆMTMࠍ૬↪ߒߚࠗࡦࡄࠢ࠻ࠛࠦ ᴺߩㆡ↪ᕈߦߟߡ⏕ߔࠆߎߣࠍ⋡⊛ߦ㧘ଏ↪ਛߩᯅ PCᩴߩਥࠤࡉ࡞ࠍኻ⽎ߦታ㛎ࠍⴕߞߚ㧚ኻ⽎ߣߒ ߚPCᩴߪ㧘౮⌀-8ߦ␜ߔ4ਥᩴߢࠆ㧚࿑-17ߦਥᩴߩ ⷐࠍ␜ߔ㧚࠙ࠚࡉߩᢿ㕙ኸᴺߪ㧘ᩴਛᄩㇱߢߪ㜞ߐ㧦 1950mm㧘ෘߐ㧦300mmߢࠆ߇㧘ᩴ┵ㇱߢߪ㜞ߐ㧦 1480mm㧘ෘߐ㧦600mmߣᩴߩ㐳ᚻᣇะߦᄌൻߒߡࠆ㧚 ᩴߩਥࠤࡉ࡞ߪ㧘PC㍑ࠃࠅ✢㧔12Ǿ7mm㧕ߢࠅ㧘 ࠪࠬߦߪ㧘Ǿ45mmߩࠬࡄࠗ࡞ࠪࠬ߇↪ߐࠇߡ ࠆ㧚࿑ߦ␜ߔࠃ߁ߦ㧘ਥࠤࡉ࡞ߩ߁ߜ㧘ᩴਛᄩㇱ߆ ࠄ┵ㇱᣇะߦะ߆ߞߡ1Ბ㈩⟎ߐࠇߡࠆ߽ߩࠍ㧘C1㨪 C9ߣߔࠆ㧚৻ᣇ㧘2Ბ㈩⟎ߐࠇߡࠆࠤࡉ࡞ߦ߅ߡ ߪ㧘C10-11㧘C12-13㧘C14-15ߣ⸥ߔߎߣߣߔࠆ㧚 b)႐ߢߩᒢᕈᵄ⸘᷹ᣇᴺ ᒢᕈᵄߩജߢߪ㧘ᣢᓔߩ⎇ⓥ13)⚿ᨐࠍ〯߹߃ߡ㧘⹏ ଔኻ⽎ߢࠆPCᩴߩኸᴺ㧔࿑-17 ෳᾖ㧕ࠍ⠨ᘦߒ㧘-3 ߦ␜ߔ㍑⋥ᓘࠍㆬቯߒߚ㧚ᒢᕈᵄߩฃᝄᣇᴺ߿↪ߒ ߚ⸘᷹ᯏེߪ㧘ଏ⹜ታ㛎ߣหߓߢࠆ㧚 ᒢᕈᵄߩജ߅ࠃ߮ฃᝄ⁁ᴫࠍ౮⌀-9 ߦ␜ߔ㧚ᒢᕈ ᵄߩജ߅ࠃ߮ฃᝄ⟎ߪ㧘PC ㍑ࠃࠅ✢ߩቯ⌕ㇱ߆ࠄ ߘࠇߙࠇ50cm (A)㧘150cm (B)߅ࠃ߮ 250cm (C)ߩࠪࠬ⋥ ߣߒߚ㧔࿑-17 ߩ٧㧕㧚ᒢᕈᵄߩ⸘᷹ߪ㧘࿑-17 (a)ߦ ࿑-17 ᯅ PCᩴߩⷐ࿑ 㨇න㧦mm㨉 ᄖᩴ ౝᩴ ౝᩴ ᄖᩴ ࠅ✢ ਅࠅ✢ 28160 ᣇ㕙 ᧲ᣇ㕙 ᯅゲ⋥ⷺᣇะ ᯅゲᣇะ (a) ో࿑ 㧦⸘᷹⟎ 500 1000 1000 C1 C2 C3 C4 C5 C6 C7 C8 C9 C10-11 C12-13 C14-15 14 80 ᢿ㕙࿑ 㧔ਥᩴ┵ㇱ㧕 19 50 300 600 㕙࿑ 14080 ᢿ㕙࿑ 㧔ਥᩴਛᄩㇱ㧕 㧔ਥᩴ ┵ㇱ㧕 (b) ⚦࿑ 500 1000 1000 㧸C A B C ⡊ᩴ ⡊ᩴ
౮⌀-9 ᒢᕈᵄߩജ߅ࠃ߮ฃᝄ⁁ᴫ ࠦ࠾ࠞ࡞ဳ㜞ᗵᐲ ᄌࡦࠨ ㍑ ߅ߌࠆࠅ✢߅ࠃ߮ਅࠅ✢ߢߩᄖᩴߣౝᩴߩਔᣇߦߟ ߡ㧘ߘࠇߙࠇᣇ㕙ߣ᧲ᣇ㕙ߦኻߒߡ㧘ߕࠇ߽࿑-17 (b)ߦ␜ߔ⸘᷹⟎㧔٧㧕ߦኻߒߡⴕߞߡ߅ࠅ㧘⸘᷹▎ ᚲᢙߩว⸘ߪ288 ▎ᚲߣߥߞߚ㧚ࠦࡦࠢ࠻ߩᒢᕈᵄ વㅦᐲߪ㧘ၒ⸳ߐࠇߚࠪࠬߩᓇ㗀ࠍฃߌߥㇱಽߦ ߅ߡ㧘FFT ߦࠃࠅ▚ߐࠇߚᵄᢙಽᏓߦ߅ߌࠆ᧼ෘ 㧔࠙ࠚࡉෘߐ㧕ߦ⋧ᒰߔࠆ❑ᵄᝄᵄᢙ߆ࠄ▚ߒߚ㧚 ࠪࠬߩᓇ㗀ࠍฃߌߥⶄᢙߩ▎ᚲߦ߅ߡવㅦᐲࠍ ▚ߒ㧘ߘߩᐔဋ୯ࠍߣߞߡ㧘ᒢᕈᵄવㅦᐲࠍ 3900m/s ߣߒߚ㧚ߥ߅㧘ࠪࠬߩၒ⸳⟎߅ࠃ߮ᷓߐߪ㧘 㔚⏛ᵄ࠳ᴺߦࠃࠅᛠីߒߚ㧚 ᒢᕈᵄ⸘᷹߇⚳ੌߒߚᓟ㧘ᓧࠄࠇߚᵄᢙಽᏓߣࠣ ࠙࠻లႯ⁁ᴫߣߩኻᔕ㑐ଥߦߟߡᬌ⸛ߔࠆߚ㧘⸘᷹ ⟎ߩ߁ߜᢙࠞᚲࠍǾ75mm ߩࠦࠕࠞ࠶࠲ߦࠃࠅሹ ߒ㧘ࠪࠬౝㇱߩࠣ࠙࠻లႯ⁁ᴫࠍ⏕ߒߚ㧚 c)⸘᷹⚿ᨐߣ⠨ኤ ⸘᷹ߐࠇߚᵄᢙಽᏓߩ․ᓽ ࿑-18 ߦ㧘ਅࠅ✢ౝᩴᣇ㕙ߩ C1 B ߅ࠃ߮ C7 B ߢᓧ ࠄࠇߚ⸘᷹⚿ᨐࠍ␜ߔ㧚ߎߎߢߪ㧘ଏ⹜ታ㛎ߢߩ⚿ᨐ ࠍ〯߹߃ߡ㧘ᓥ᧪ᴺߦࠃࠆᵄᢙಽᏓ߅ࠃ߮MTM ᵄ ᢙಽᏓࠍ␜ߔ㧚߹ߚ㧘ᵄᢙಽᏓߢߩ⎕✢ߪ㧘㔚⏛ᵄ ࠳ߢߩࠪࠬᷓߐផቯ⚿ᨐ߆ࠄ▚ߒߚ㨒ⓨ㓗⟎ ࠍ␜ߒߡࠆ㧚ߎߩ࿑ߦࠃࠇ߫㧘ᓥ᧪ᴺߦࠃࠆᵄᢙಽ Ꮣ߅ࠃ߮MTM ᵄᢙಽᏓߩਔᣇߦ߅ߡ㧘࠙ࠚࡉෘߐ ߦᔕߓߚ❑ᵄᝄᵄᢙ㧔࿑ਛߩ⍫ශ㧕ߩㄭறߦࡇࠢ ߇ࠄࠇࠆ㧚․ߦ㧘MTM ᵄᢙಽᏓߢߪ㧘࠙ࠚࡉෘߐ ߦࠃࠆࡇࠢ߇߆ߥࠅ⍎ߦථߒߡࠆߎߣ߇ࠊ߆ࠆ㧚 ߎࠇߦኻߒߡᓥ᧪ᴺߦࠃࠆᵄᢙಽᏓߢߪ㧘࠙ࠚࡉෘߐ ߇ᄢ߈ᣇ߇ࡇࠢᵄᢙએᄖߩᚑಽഀว߇ᄢ߈ߊߥࠅ㧘 ࡇࠢߩ್⺒߇࿎㔍ߦߥࠆߎߣ߇⏕ߢ߈ࠆ㧚ߎࠇߪ㧘 ታ᭴ㅧ‛ߢߩ⸘᷹ߢ߽㧘ଏ⹜ታ㛎ߩ႐วߣห᭽ߦ㧘᧼ ෘߦ⋧ᒰߔࠆ❑ᵄᝄߦࠃࠆᚑಽߣᲧセߒߡ㧘㕙ᵄߦ ࠃࠆᵄᢙᚑಽ߇⋧ኻ⊛ߦᄢ߈ߊߥߞߚߚߣ⠨߃ࠄࠇ ࠆ㧚ߐࠄߦ㧘ᵄᒻಣℂߩήߛߌߢߪߥߊ㧘ᵄᢙಽᨆ ᚻᴺߩ㆑ߦࠃࠆᓇ㗀߽⠨߃ᓧࠆⷐ࿃ߢࠆ㧚ߎࠇࠄߩ ߎߣ߆ࠄ㧘ታ᭴ㅧ‛⸘᷹ߦ߅ߡ㧘࠙ࠚࡉෘߐߦ࿃ߔ ࠆࡇࠢᵄᢙߩᛠីߦߪ㧘㕙ᵄࠍㆡቱᔅⷐߦᔕߓߡ 㒰ߒ㧘ᵄᢙಽᨆᚻᴺߦMTM ࠍᵴ↪ߔࠆߎߣ߇ല ߢࠆߎߣ߇ࠄ߆ߣߥߞߚ㧚 ࠣ࠙࠻లႯ⹏ଔᚻᴺ ଏ⹜ߢߩታ㛎⚿ᨐ߅ࠃ߮೨▵ߢᓧࠄࠇߚ⍮߆ࠄ㧘 ᧄ⎇ⓥߢឭ᩺ߔࠆᵄᒻಣℂ߅ࠃ߮MTM ࠍ૬↪ߒߚࠗࡦ ࡄࠢ࠻ࠛࠦᴺߩലᕈ߇⏕ߐࠇߚ㧚ߘߎߢ㧘ߎࠇએ 㒠ߪ㧘MTM ᵄᢙಽᏓࠍ↪ߚࠣ࠙࠻లႯ⹏ଔᚻᴺ ߩታ᭴ㅧ‛ߢߩㆡ↪ᕈࠍᬌ⸛ߔࠆߎߣߣߔࠆ㧚ࠣ࠙࠻ లႯ⹏ଔᚻ㗅ߣߒߡߪ㧘߹ߕ㧘MTM ᵄᢙಽᏓߦ߅ߌ ࠆ㨒ⓨ㓗⟎ߦࡇࠢ߇ࠄࠇߥ႐วࠍ㧘ࠣ࠙࠻߇ లႯߐࠇߡࠆߣ್ᢿߔࠆ㧚ߎࠇߦኻߒߡ㧘㨒ⓨ㓗⟎ ߦࡇࠢ߇⊒ߒߡࠆ႐วߪ㧘ߎߩࡇࠢߩ⊒↢ⷐ࿃ ߇ࠣ࠙࠻లႯਇ⿷ߦࠃࠆⓨ㓗ߦ࿃ߔࠆ߽ߩߣ⠨߃㧘 ࠣ࠙࠻ߩలႯਇ⿷ߩน⢻ᕈ߇ࠆߣ್ᢿߒߚ㧚 ሹ⚿ᨐ ᧄᚻᴺߢឭ᩺ߔࠆMTM ࠍ૬↪ߒߚࠗࡦࡄࠢ࠻ࠛࠦ ᴺߦࠃࠆࠣ࠙࠻లႯ⹏ଔߦ߅ߌࠆ್ᢿ⚿ᨐߩᅷᒰᕈࠍ ࿑-18 ਅࠅ✢ౝᩴᣇ㕙ߦ߅ߌࠆᵄᢙಽᏓ 0 10 20 30 40 ࠬࡍ ࠢ࠻࡞ ᒝᐲ ᵄᢙ (kHz) 0 10 20 30 40 ࠬࡍ ࠢ࠻࡞ ᒝᐲ ᵄᢙ (kHz) 㧔b㧕C7 B㧦࠙ࠚࡉෘߐ 500mm⒟ᐲ ᓥ᧪ᴺߦࠃࠆᵄᢙಽᏓ MTMᵄᢙಽᏓ 0 10 20 30 40 ࠬ ࡍࠢ࠻ ࡞ᒝᐲ ᵄᢙ (kHz) 0 10 20 30 40 ࠬ ࡍࠢ࠻ ࡞ᒝᐲ ᵄᢙ (kHz) 㧔a㧕 C1 B㧦࠙ࠚࡉෘߐ 300mm⒟ᐲ ᓥ᧪ᴺߦࠃࠆᵄᢙಽᏓ MTMᵄᢙಽᏓ ࠪࠬၒ⸳ᷓߐߦ⋧ᒰߔࠆ❑ᵄᝄᵄᢙ 㧦࠙ࠚࡉෘߐߦᔕߓߚ❑ᵄᝄᵄᢙ
⏕ߔࠆߚ㧘ਥᩴ1 ᧄߦߟ߈ 4 ▎ᚲ㧘ว⸘ 16 ▎ᚲߩ ሹࠍⴕߞߚ㧚࿑-19 ߦሹ▎ᚲߦ߅ߌࠆᵄᢙಽᏓࠍ㧘 ᯅ߅ࠃ߮ࠤࡉ࡞ฬߣ૬ߖߡ␜ߒߚ㧚࿑-18 ߣหߓߊ㧘 ᵄᢙಽᏓߢߩ⍫ශߪ࠙ࠚࡉෘߐߦᔕߓߚ❑ᵄᝄ ᵄᢙߩ⟎㧘⎕✢ߪ㔚⏛ᵄ࠳ߢߩࠪࠬᷓߐផቯ⚿ ᨐ߆ࠄ▚ߒߚ㨒ⓨ㓗⟎ࠍᜰߒߡࠆ㧚߹ߚ㧘-4 ߦ ߪ㧘ᧄᚻᴺߦࠃࠆࠣ࠙࠻లႯ⁁ᴫߩ್ቯ⚿ᨐߣሹ⚿ ᨐࠍ␜ߔ㧚ᧄᚻᴺߦࠃࠅࠣ࠙࠻లႯ⒟ᐲ߇⦟ᅢߢࠆ ߣ್ᢿߒߚ▎ᚲ㧔ਛߩ٤㧕ߦ߅ߡߪ㧘ࠣ࠙࠻߇ච ಽలႯߐࠇߡࠆߎߣࠍሹߦࠃࠅ⏕ߔࠆߎߣ߇ߢ߈ ߚ㧚ࠣ࠙࠻ߩలႯ⁁ᴫࠍ౮⌀-10 ߦ␜ߔ㧚 ৻ᣇ㧘ᧄᚻᴺߢࠣ࠙࠻ߩలႯਇ⿷ߣ್ᢿߒߚ▎ᚲߦ ߅ߡ㧘ሹߦࠃࠅࠣ࠙࠻లႯਇ⿷ߦࠃࠆⓨ㓗㧔౮ ⌀-11 ෳᾖ㧕߇⏕ߐࠇߚ㧔ਛߩࠅ✢⡊ᩴ᧲ᣇ㕙 C12-13 A㧕㧚ߎࠇߦኻߒߡ㧘ࠣ࠙࠻లႯਇ⿷ߩน⢻ᕈ ࠅߣ್ᢿߒߚ▎ᚲ㧔ਛߩٌ㧕ߦ߅ߡ߽㧘ࠣ࠙࠻ ࿑-19 ሹ▎ᚲߦ߅ߌࠆᵄᢙಽᏓ 㨐㧦ࠪࠬၒ⸳ᷓߐ 0 10 20 30 40 ࠬࡍࠢ ࠻࡞ᒝ ᐲ ᵄᢙ (kHz) 0 10ᵄᢙ (kHz)20 30 40 50 ࠬࡍࠢ࠻ ࡞ᒝᐲ ⸘᷹▎ᚲ㧦C1B 㨐㧩110mm ⸘᷹▎ᚲ㧦C12-13 A 㨐㧩170mm ࠅ✢⡊ᩴ᧲ᣇ㕙 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍ ࠢ࠻࡞ᒝ ᐲ 0 10 20 30 40 ࠬࡍ ࠢ࠻࡞ᒝ ᐲ ᵄᢙ (kHz) ⸘᷹▎ᚲ㧦C3B 㨐㧩100mm ⸘᷹▎ᚲ㧦C8B 㨐㧩180mm ࠅ✢ౝᩴ᧲ᣇ㕙 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍࠢ࠻ ࡞ᒝᐲ ⸘᷹▎ᚲ㧦C2C 㨐㧩90mm 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍࠢ࠻ ࡞ᒝᐲ ⸘᷹▎ᚲ㧦C10-11 B 㨐㧩170mm ࠅ✢⡊ᩴᣇ㕙 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍࠢ࠻ ࡞ᒝᐲ ⸘᷹▎ᚲ㧦C2A 㨐㧩120mm 0 10 20 30 40 ࠬࡍࠢ࠻ ࡞ᒝᐲ ᵄᢙ (kHz) ⸘᷹▎ᚲ㧦C6A 㨐㧩150mm ࠅ✢ౝᩴᣇ㕙 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍࠢ࠻ ࡞ᒝᐲ ⸘᷹▎ᚲ㧦C4B 㨐㧩160mm 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍࠢ࠻ ࡞ᒝᐲ ⸘᷹▎ᚲ㧦C7B 㨐㧩200mm ਅࠅ✢⡊ᩴ᧲ᣇ㕙 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍࠢ࠻ ࡞ᒝᐲ ⸘᷹▎ᚲ㧦C5B 㨐㧩170mm 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍࠢ࠻ ࡞ᒝᐲ ⸘᷹▎ᚲ㧦C14-15 B 㨐㧩160mm ਅࠅ✢ౝᩴ᧲ᣇ㕙 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍࠢ࠻ ࡞ᒝᐲ ⸘᷹▎ᚲ㧦C2C 㨐㧩100mm 0 10 20 30 40 ࠬࡍ ࠢ࠻࡞ᒝ ᐲ ᵄᢙ (kHz) ⸘᷹▎ᚲ㧦C6A 㨐㧩140mm ਅࠅ✢⡊ᩴᣇ㕙 0 10 20 30 40 ᵄᢙ (kHz) ࠬࡍ ࠢ࠻࡞ᒝ ᐲ ⸘᷹▎ᚲ㧦C5B 㨐㧩150mm 0 10 20 30 40 ࠬࡍࠢ࠻ ࡞ᒝᐲ ᵄᢙ (kHz) ⸘᷹▎ᚲ㧦C9B 㨐㧩260mm ਅࠅ✢ౝᩴᣇ㕙 ࠪࠬၒ⸳ᷓߐߦ⋧ᒰߔࠆ❑ᵄᝄᵄᢙ 㧦࠙ࠚࡉෘߐߦᔕߓߚ❑ᵄᝄᵄᢙ
లႯ߇⏕ߐࠇߚ▎ᚲ߽ߞߚ㧚ߒ߆߽ߎࠇࠄߪ㧘ߕ ࠇߩ႐ว߽C6 Aࠆߪ C2 Cߢࠅ㧘⸘᷹⟎߆ࠄࡂ ࡦ࠴ㇱ߹ߢߩ〒㔌ߪ߅ࠃߘ 150mm ⒟ᐲߢߞߚ㧚ߎߩ ߎߣ߆ࠄ㧘ᧄ⎇ⓥߩ▸࿐ౝߢߪ㧘⸘᷹⟎߆ࠄࡂࡦ࠴ㇱ ߿ᩴ┵ㇱߩႺ⇇㕙߹ߢߩ〒㔌߇ዊߐ႐ว㧘ߩᓇ㗀 ߦࠃࠆࡇࠢᵄᢙࠍ㧘ࠪࠬౝㇱߩⓨ㓗߆ࠄߩߦ ࿃ߒߚࡇࠢߣ⺋ߒߚߣ⠨ኤߢ߈ࠆ㧚 ߎࠇࠄࠃࠅ㧘ᧄᚻᴺߢឭ᩺ߔࠆᵄᒻಣℂ߅ࠃ߮ MTM ࠍᵴ↪ߒߚࠗࡦࡄࠢ࠻ࠛࠦᴺߪ㧘ታ᭴ㅧ‛ߢߩ⹏ଔߦ ߅ߡ⋧ᔕߩㆡ↪ᕈࠍߔࠆߎߣ߇ࠄ߆ߣߥߞߚ㧚ߥ ߅㧘ᧄ⺰ᢥߩ▸࿐ߦ߅ߡߪ㧘ሹ⚿ᨐߦࠃࠇ߫㧘2 ┨ ߢ␜ߒߚᮮ✦㍑ߩ႐วߣᲧセߒߡ㧘ਥࠤࡉ࡞ߢߪ ⋧ኻ⊛ߦࠣ࠙࠻లႯ⁁ᴫ߇⦟ᅢߢߞߚ㧚 4.ࠣ࠙࠻లႯ⹏ଔᚻ㗅ߩឭ⸒ ೨┨߹ߢߩᬌ⸛⚿ᨐࠃࠅ㧘ᧄ⎇ⓥߢߪ㧘I: ㇱ᧚ゲᣇะ ߦᒢᕈᵄࠍવߐߖࠆ႐ว㧔⇛ᬌᩏᴺ㧕ߣII: ㇱ᧚ᢿ㕙 ᣇะߦᒢᕈᵄࠍવߐߖࠆ႐ว㧔⚦ᬌᩏᴺ㧕ࠍ૬↪ߒ ߚPCࠣ࠙࠻లႯ⹏ଔᚻᴺࠍឭ⸒ߔࠆ㧚ߘߩࡈࡠ࠴ ࡖ࠻ࠍ࿑-20ߦ␜ߔ㧚ߎߎߢߪ߹ߕ㧘⇛ᬌᩏᴺߣߒ ߡ㧘I: ㇱ᧚ゲᣇะߩᒢᕈᵄࠍવߐߖ㧘ߘߩવㅦᐲߩ ⹏ଔࠍⴕ߁㧚ᰴߦ㧘⇛ᬌᩏ⚿ᨐࠃࠅ㧘ࠣ࠙࠻లႯਇ ⿷ߩน⢻ᕈ߇ࠆߣ್ᢿߐࠇߚ߽ߩߦߟߡߪ㧘⚦ᬌ ᩏᴺߢࠆII: ㇱ᧚ゲᣇะߦᒢᕈᵄࠍવߐߖࠆᚻᴺࠍㆡ ↪ߒߡࠣ࠙࠻లႯ⁁ᴫߩ⹏ଔࠍⴕ߁㧚⚦ᬌᩏߦߚ ߞߡߪ㧘ฃᝄᵄᒻߩ㕙ᵄᚑಽࠍࠞ࠶࠻ߔࠆߣߣ߽ߦ㧘 -4 ሹ▎ᚲߦ߅ߌࠆ್ᢿ⚿ᨐ߅ࠃ߮ሹ⚿ᨐ ޚ㧦ޟࠣ࠙࠻లႯ⒟ᐲ߇⦟ᅢޠ ٌ㧦ޟࠣ࠙࠻లႯਇ⿷ߩน⢻ᕈࠅޠ ್ᢿ⚿ᨐ ሹ⚿ᨐ C1 B ޚ ࠣ࠙࠻ࠅ C12-13 A ٌ ࠣ࠙࠻లႯਇ⿷ߦࠃࠆⓨ㓗ࠅ C2 C ٌ ࠣ࠙࠻ࠅ C10-11 B ޚ ࠣ࠙࠻ࠅ C3 B ޚ ࠣ࠙࠻ࠅ C8 B ޚ ࠣ࠙࠻ࠅ C2 A ޚ ࠣ࠙࠻ࠅ C6 A ٌ ࠣ࠙࠻ࠅ C4 B ޚ ࠣ࠙࠻ࠅ C7 B ޚ ࠣ࠙࠻ࠅ C2 C ٌ ࠣ࠙࠻ࠅ C6 A ٌ ࠣ࠙࠻ࠅ C5 B ޚ ࠣ࠙࠻ࠅ C14-15 B ޚ ࠣ࠙࠻ࠅ C5 B ޚ ࠣ࠙࠻ࠅ C9 B ޚ ࠣ࠙࠻ࠅ ਅ ࠅ ✢ ⡊ ᩴ ᧲ᣇ㕙 ᣇ㕙 ౝ ᩴ ᧲ᣇ㕙 ᣇ㕙 ⸘᷹▎ᚲ ࠅ ✢ ⡊ ᩴ ᧲ᣇ㕙 ᣇ㕙 ౝ ᩴ ᧲ᣇ㕙 ᣇ㕙 ౮⌀-10 ࠣ࠙࠻లႯ⁁ᴫ㧔ਅࠅ✢⡊ᩴᣇ㕙 C2 C㧕 ࠣ࠙࠻ ࠪࠬ ౮⌀-11 ࠣ࠙࠻లႯਇ⿷ߦࠃࠆⓨ㓗㧔ࠅ✢⡊ᩴ᧲ᣇ 㕙C12-13 A㧕 ࠪࠬ PC㍑
࿑-20 PCࠣ࠙࠻లႯ⹏ଔᚻᴺߩࡈࡠ ㇱ᧚ゲᣇะߦᒢᕈᵄࠍജߒ㧘 ᒢᕈᵄવㅦᐲVࠍ⸘᷹ ࠣ࠙࠻లႯ⁁ᘒ߇⦟ᅢ I ⇛ᬌᩏ㧔ᒢᕈᵄࠍゲᣇะߦવߐߖࠆᚻᴺ㧕 VC㧦ઍ⊛ߥ⸘᷹▎ᚲߢߩሹ⚿ᨐ߹ߚߪ㧘 ታ᭴ㅧ‛ߢߩ᧦ઙߦㄭଏ⹜ߢߩ⸘᷹⚿ᨐࠃࠅ㧘ߒ߈୯VCࠍቯ V㧪VC YES NO fⓨ㓗⟎ߦࡇࠢ߇ࠆ YES NO II ⚦ᬌᩏ㧔ᒢᕈᵄࠍᢿ㕙ᣇะߦવߐߖࠆᚻᴺ㧕 ㆡᒰߥ▎ᚲߦ߅ߡ ㇱ᧚ᢿ㕙ᣇะߦᒢᕈᵄࠍജ ᵄᒻಣℂ߅ࠃ߮MTMߦࠃࠅ ᵄᢙಽᏓࠍ▚ 㔚⏛ᵄ࠳ᴺߦࠃࠅ㍑᧚⟎߅ࠃ߮ᷓߐߩ⏕ ሹ ࠣ࠙࠻లႯਇ⿷ߩน⢻ᕈࠅ ࠣ࠙࠻ౣలႯ START
ᵄᢙಽᨆᚻᴺߣߒߡMTMࠍ૬↪ߒߚࠗࡦࡄࠢ࠻ࠛࠦ ᴺࠍ↪ࠆ㧚ᧄ⎇ⓥߢឭ᩺ߒߚߎߩᚻᴺࠍᵴ↪ߔࠆߎ ߣߦࠃࠅ㧘ࠣ࠙࠻లႯߩήࠍ⹏ଔߒ㧘ࠣ࠙࠻లႯ ਇ⿷ߩน⢻ᕈߩࠆ▎ᚲࠍหቯߔࠆ㧚ߚߛߒ㧘ᧄ⎇ⓥߢ ߪ㧘3. (2) c) ሹ⚿ᨐߦ߅ߡ⼏⺰ߒߚߣ߅ࠅ㧘ᩴ┵ㇱ ߩႺ⇇㕙߆ࠄߩᵄߩᓇ㗀ࠍฃߌࠆน⢻ᕈ߇ࠆߚ㧘 ߎߩ႐วࠍᧄᚻᴺߩㆡ↪▸࿐ᄖߣߔࠆ㧚ߎߩࠃ߁ߦߒߡ ᛠីߐࠇߚలႯਇ⿷▎ᚲߦ߅ߡሹࠍⴕ߁ߎߣߦࠃࠅ㧘 ᭴ㅧ‛ߦਈ߃ࠆ៊்⒟ᐲࠍᦨዊ㒢ߦߐ߃ࠆߎߣ߇น⢻ ߢࠆ㧚ሹᓟߪࠣ࠙࠻ߩౣలႯࠍⴕ㧘ࠣ࠙࠻ߩ ⎬ൻᓟ㧘ౣ߮⇛ᬌᩏࠍታᣉߒ㧘ᔅⷐ߇ࠇ߫⚦ᬌᩏ ߳ߣ⒖ⴕߔࠆ㧚એߩࠃ߁ߥ৻ㅪߩᵹࠇࠍ➅ࠅߔߎߣ ߦࠃࠅ㧘᭴ㅧ‛ߦ߅ߌࠆࠣ࠙࠻లႯਇ⿷▎ᚲߩല₸⊛ ߥᬌߣࠣ࠙࠻ౣలႯߩ⦟ุߩ⏕߇น⢻ߣߥࠆ㧚 ᧄ⺰ᢥߦ␜ߒߚታ㛎⚿ᨐߪ㧘I ߩ⇛ᬌᩏᴺߦ㑐ߔࠆ ߽ߩ߇ᮮ✦㍑ߦኻߔࠆ߽ߩߢࠅ㧘৻ᣇߢIIߩ⚦ ᬌᩏᴺߦߟߡߪ㧘ᩴߩᦛߍߍࠍ߁ਥࠤࡉ࡞ࠍኻ ⽎ߣߒߚ߽ߩߣߥߞߡࠆ㧚ߎߩ߁ߜ㧘೨⠪ߩᮮ✦㍑ ߩ႐วߦIIߩ⚦ᬌᩏᴺߪේℂ⊛ߦㆡ↪น⢻ߢࠆ㧚 ߹ߚ㧘ᓟ⠪ߩᦛߍߍࠍ߁ࠤࡉ࡞ߦኻߒߡߪ㧘ታ‛ ᄢଏ⹜ߢߩ⪺⠪ࠄߩㆊߩታ㛎15)ߦࠃࠅ㧘I: ⇛ᬌᩏ ᴺߩㆡ↪น⢻ᕈ߇⏕ߐࠇߡࠆ㧚ߒߚ߇ߞߡ㧘I ߣII ࠍ⚵ߺวࠊߖߚ⹏ଔᚻ㗅ߪ㧘ታ᭴ㅧ‛ߩ᭽ޘߥࡄ࠲ࡦ ߦኻᔕน⢻ߣ⠨߃ࠄࠇࠆ߇㧘ᓟ㧘ㆡ↪น⢻ߥ᭴ㅧ‛ߩ ᧦ઙߦߟߡߪ㧘ߐࠄߦᬌ⸛ߔߴ߈ߣ⠨߃ࠆ㧚ߎࠇߦࠃ ࠅ㧘ࠣ࠙࠻ࠍ↪ࠆࡐࠬ࠻࠹ࡦ࡚ࠪࡦPC᭴ㅧ‛ో⥸ ߦ߅ߡ㧘ᧄᚻᴺߩᵴ↪߇⛽ᜬ▤ℂߩวℂൻߦᓎ┙ߜ㧘 ᭴ㅧ‛ߩోᕈ⏕ߦߟߥ߇ࠆ߽ߩߣ⠨߃ߡࠆ㧚 5.⚿⺰ ᧄ⎇ⓥߢߪ㧘ᒢᕈᵄߦࠃࠅPCࠣ࠙࠻ߩలႯᐲࠍ⹏ ଔߔࠆᚻᴺߣߒߡ㧘I: ㇱ᧚ゲᣇะߦᒢᕈᵄࠍવߐߖࠆ ႐ว㧘II:ㇱ᧚ᢿ㕙ᣇะߦᒢᕈᵄࠍવߐߖࠆ႐วߩ2ࠤ ࠬߦߟߡ㧘ታ㓙ߩ᭴ㅧ‛߳ߩㆡ↪ᕈߩ⹏ଔࠍⴕߞߚ㧚 એਅߦ㧘ᓧࠄࠇߚ⚿⺰ࠍ␜ߔ㧚 Iߦ㑐ߒߡ㧦 1㧕 ࠬࡉଏ⹜ታ㛎ߦ߅ߡᒢᕈᵄવㅦᐲߪ㧘ࠣ ࠙࠻లႯᐲߩჇടߦᓢޘߦዊߐߊߥࠆߎߣ߇ౣ ⏕ߢ߈ߚ㧚߹ߚ㧘ᒢᕈᵄߩജᣇะߩ㆑ߦࠃࠆ ᓇ㗀ߪ㧘߶ߣࠎߤߥߎߣ߽⏕ߐࠇߚ㧚 2㧕 ᯅPCᩴߦI ߩᚻᴺࠍㆡ↪ߒߚ⚿ᨐ㧘ᒢᕈᵄવㅦ ᐲߪࠬࡉଏ⹜ߩ႐วߣห᭽ߩะ߇ᓧࠄࠇߚ㧚 ߹ߚ㧘વㅦᐲߣሹߦࠃࠆ⏕⚿ᨐߣߩᲧセ߆ࠄ㧘 ታ᭴ㅧ‛ߢߩࠣ࠙࠻లႯ⹏ଔߦ߅ߡ㧘ᒢᕈᵄવ ㅦᐲߪ⹏ଔᜰᮡߣߒߡ㕖Ᏹߦലߢࠆߎߣ߇ ࠄ߆ߣߥߞߚ㧚 3㧕 ࠣ࠙࠻ࠍౣలႯߒߚPC㍑ߢߪ㧘ᒢᕈᵄવㅦ ᐲ߇ౣలႯ೨ߩㅦᐲࠃࠅዊߐߊߥࠆะࠍ␜ߔ႐ว ߇߶ߣࠎߤߢߞߚ㧚ߎࠇࠃࠅ㧘ࠣ࠙࠻ౣలႯ೨ ᓟߢߩવㅦᐲࠍᲧセߔࠆߎߣߦࠃࠅ㧘ࠣ࠙࠻ౣ లႯߩ⦟ุࠍ್ᢿߢ߈ࠆน⢻ᕈ߇␜ߐࠇߚ㧚 IIߦ㑐ߒߡ㧦 4㧕 ଏ⹜ࠍ↪ߡㇱ᧚ᢿ㕙ᣇะߦᒢᕈᵄࠍવߐߖߚ ႐วߪ㧘ࠗࡦࡄࠢ࠻ࠛࠦᴺߢߪᬌ߇࿎㔍ߥ᧦ઙ ߦࠆⓨ㓗ߦኻߒߡ߽㧘㕙ᵄࠍ㒰ߔࠆߣߣ߽ߦ㧘 ᵄᢙಽᨆߦMultitaper Methodࠍㆡ↪ߔࠆߎߣߦࠃࠅ㧘 ⓨ㓗߆ࠄߩᵄᢙࡇࠢࠍ⼂ߐߖࠆߎߣ߇ኈᤃߣ ߥࠆ㧚 5㧕 ᯅPCᩴߦII ߩᚻᴺࠍㆡ↪ߒߚ⚿ᨐ㧘ᵄᒻಣℂ߅ࠃ ߮MTMࠍ૬↪ߒߚࠗࡦࡄࠢ࠻ࠛࠦᴺߦࠃࠅࠣ ࠙࠻లႯ⒟ᐲ߇⦟ᅢߣ್ᢿߒߚ▎ᚲోߡߦ߅ߡ㧘 ࠣ࠙࠻߇లႯߐࠇߡࠆߎߣࠍሹߦࠃࠅ⏕ߔ ࠆߎߣ߇ߢ߈ߚ㧚 ᓟߪ㧘I:ㇱ᧚ゲᣇะߦᒢᕈᵄࠍવߐߖࠆ႐ว㧘II: ㇱ᧚ᢿ㕙ᣇะߦᒢᕈᵄࠍવߐߖࠆ႐วߩਔ⠪ߩᚻᴺࠍ㧘 ห৻ߩታ᭴ㅧ‛ߦኻߒߡㆡ↪ߒ㧘ᧄᚻᴺߩㆡ↪▸࿐ߩ ⏕ൻ߅ࠃ߮ᚻᴺߩ⏕┙ࠍ⋡ᜰߔᔅⷐ߇ࠆߣ⠨߃ߡࠆ㧚 ․ߦI ߢߪ㧘ᒢᕈᵄવㅦᐲߩၮḰ୯ߩ⸳ቯᣇᴺߦߟ ߡ㧘ౕ⊛ߦ␜ߔ੍ቯߢࠆ㧚৻ᣇ㧘II ߦߟߡߪ㧘ᩴ ┵ㇱ߆ࠄߩᵄߩᓇ㗀߿ߘߩ▸࿐ߦߟߡ⏕ߦߔࠆ ᔅⷐ߇ࠆ㧚 ෳ⠨ᢥ₂
1) Woodward, R. J. : Collapse of a Segmental Post-Tensioned Concrete Bridge, Transportation Research Record, V. 1211, Transportation Research Board, National Research Council, pp. 38-59, 1989.
2) ߃߫㧘㎨↰ᢅ㇢㧦PC ᭴ㅧ‛ߩࡔࡦ࠹࠽ࡦࠬߦ߅ߌࠆ㕖 ⎕უᬌᩏ㧘ࡊࠬ࠻ࠬ࠻ࠦࡦࠢ࠻㧘pp.51-58㧘2003. 3) ߃߫㧘೨↰ᤐ㓶㧘㐳⼱Ꮉᢕผ㧘㒙ᒫ㓷ᄦ㧦X ✢ᴺߦ ࠃࠆࠦࡦࠢ࠻᭴ㅧ‛ߩ㕖⎕უᬌᩏ㧘ࠦࡦࠢ࠻᭴ ㅧ‛ߩ⠴ਭᕈߦ㑐ߔࠆࠪࡦࡐࠫ࠙ࡓ⺰ᢥ㓸㧘pp.109-115㧘 1988. 4) ߃߫㧘ဈ↰ᐽᓼ㧘ᄢᵤᐽ㧦㖸ᵄࠬࡍࠢ࠻ࡠࠬࠦࡇ ᴺߦࠃࠆࡐࠬ࠻࠹ࡦ࡚ࠪࡦPC ᭴ㅧ‛ߩࠣ࠙࠻లႯᐲ ⹏ଔ㧘ࠦࡦࠢ࠻ߩ㕖⎕უ⹜㛎ᴺߦ㑐ߔࠆࠪࡦࡐࠫ࠙ ࡓ⺰ᢥ㓸㧘pp.87-92㧘1991. 5) ߃߫㧘㤥㊁ᐘᒄ㧘ጊ↰ᄦ㧘ਛม㧦ⴣ᠄ᒢᕈᵄᴺ ࠍㆡ↪ߒߚPC ᐥ᧼ߩࠣ࠙࠻లႯᕈ⹏ଔߦ㑐ߔࠆၮ␆⊛ ⎇ⓥ㧘ࠦࡦࠢ࠻Ꮏቇᐕᰴ⺰ᢥႎ๔㓸㧘Vol.17㧘No.1㧘 pp.1175-1180㧘1995. 6) ᢪ⮮ብⴕ㧘ዦፒ⋭ੑ㧦ⴣ᠄ᒢᕈᵄᴺߦࠃࠆ PC ࠣ࠙࠻ల Ⴏ⹏ଔߦ㑐ߔࠆၮ␆⊛⎇ⓥ㧘ࠦࡦࠢ࠻Ꮏቇᐕᰴ⺰ᢥ ႎ๔㓸㧘Vol.21㧘No.2㧘pp.1267-1272㧘1999. 7) 㝼ᧄஜੱ㧘㚂⮮⧐ਭ㧦AE ⸘᷹ߦࠃࠆࡊࠬ࠻ࠬ࠻ࠦࡦ ࠢ࠻ߩࠪࠬౝࠣ࠙࠻లႯᐲ್ቯᣇᴺ㧘↢↥⎇ⓥ㧘 Vol.39㧘No.4㧘pp.141-144㧘1987. 8) ㎨↰ᢅ㇢㧘ᷜ㊁㓷ೣ㧘࿖ᨑᵏ㧘࿖ᨑ⒤㧘ㇹᕺື㧦ᒢ ᕈᵄ․ᕈࡄࡔ࠲ࠍ↪ߚPC ࠣ࠙࠻లႯ⹏ଔᚻᴺ㧘 ᧁቇળ⺰ᢥ㓸㧘No.746/V-61㧘pp.25-39㧘2003.11.
9) ᙥⰂᳯ㧘㎨↰ᢅ㇢㧘ᵻ㊁㓷ೣ㧘ㇹᕺື㧦ᒢᕈᵄߦࠃࠆ PC ࠣ࠙࠻లႯ⹏ଔᴺߩㆡ↪ᕈߦ㑐ߔࠆ⸃ᨆ⊛⠨ኤ㧘ࠦ ࡦࠢ࠻Ꮏቇᐕᰴ⺰ᢥ㓸㧘Vol.26㧘No.1㧘pp.1899-1904㧘 2004.
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11) ᭂს㇌ᄦ㧘Ⴚᤘ㧦ⴣ᠄ᒢᕈᵄᴺߦࠃࠆ PC ᯅࠪࠬ▤ ࠣ࠙࠻ߩలႯᐲวߩ᷹ቯࠦࡦࠢ࠻Ꮏቇᐕᰴ⺰ᢥႎ ๔㓸㧘Vol.24㧘No.1㧘pp.1557-1562㧘2002.
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APPLICATION OF IMPACT ELASTIC WAVE METHOD FOR EVALUATION OF
GROUTED CONDITION OF TENDON DUCTS IN EXISTING PC STRUCTURES
Toshiro KAMADA, Masanori ASANO, Masamichi KAWASHIMA, Shinya UCHIDA
and Keitetsu ROKUGO
In this paper, the applicability of Impact Elastic Wave Method for evaluation of grouted condition in tendon ducts was investigated thorough two methods for each objective structure. One is applied to lateral prestressing steel bars to connect Prestressed Concrete beams, where wave velocity was measured for the evaluation of grouted conditions in tendon ducts. The other is the measurement at cross-section of steel strands in PC beams, where frequency spectrum was applied for the evaluation. In both cases, actual conditions in tendon ducts were confirmed by visual observation after drilling. Results show the applicability of the both methods to evaluate grouted conditions in existing PC structures.
