6WXG\RQ$SSOLFDELOLW\RI,PSDFW(ODVWLF:DYH0HWKRGIRU 6XVWDLQDEOH0DQDJHPHQWRI&RQFUHWH6WUXFWXUH

(1)

ࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢရ㉁⟶⌮࠾ࡼࡧⅬ᳨࣭デ᩿࡬ࡢ

⾪ᧁᙎᛶἼἲࡢ㐺⏝࡟㛵ࡍࡿ◊✲

ᒾ㔝⪽ྐ

(2)

┠ ḟ

➨1❶ ᗎㄽ ... 1

1.1 ◊✲ࡢ⫼ᬒ ... 1

1.2 ◊✲┠ⓗ ... 4

1.3 ᪤ ࡢ◊✲ ... 6

1.4 ㄽᩥࡢᵓᡂ࡜ෆᐜ ... 8

➨1❶ࡢཧ⪃ᩥ⊩ ... 10

➨2❶ ከ㔜཯ᑕἲ࡟ࡼࡿᇶᮏ࿘Ἴᩘࡢ ᐃ᪉ἲࡢ᳨ウ ... 12

2.1 ᴫㄝ ... 12

2.2 ከ㔜཯ᑕἲࡢ ᐃཎ⌮ ... 13

2.3 ᐃ᣺ື࡟ᑐࡍࡿࣇ࣮࢚ࣜኚ᥮࡛ࡢㄗᕪせᅉ࡜㐺⏝㝈⏺ࡢ᳨ウ ... 14

2.3.1 ᐇ㦂ᴫせ ... 14

2.3.2 ᡴᧁࡍࡿ㗰⌫ࡢ┤ᚄ࡟ࡼࡿᙳ㡪ࡢ☜ㄆᐇ㦂 ... 15

2.3.3 ᐃ᣺ື࡟ᑐࡍࡿࣇ࣮࢚ࣜኚ᥮࡟࠾ࡅࡿ㐺⏝㝈⏺ࡢ᳨ウ ... 19

2.3.4 ᳨ウ⤖ᯝ ... 21

2.4 ࢥࣥࢡ࣮ࣜࢺෆ㒊ࢆከ㔜཯ᑕࡍࡿ⦪ᙎᛶἼࡢఏᦙ≉ᛶࡢ᳨ウ ... 23

2.4.1 ᐇ㦂ᴫせ ... 23

2.4.2 ⫼㠃࡛ ᐃࡉࢀࡿ཯ᑕἼࡢ᳨ウ ... 23

2.4.3 ධຊ㠃࡛ ᐃࡉࢀࡿ཯ᑕἼࡢ᳨ウ ... 27

2.4.4 ᳨ウ⤖ᯝ ... 30

2.5 㒊ᮦཌࡉࡢ኱ࡁ࠸ࢥࣥࢡ࣮ࣜࢺ࡟㐺⏝ྍ⬟࡞ ᇶᮏ࿘Ἴᩘࡢ ᐃ᪉ἲࡢ᳨ウ ... 31

2.5.1 ᐇ㦂ᴫせ ... 31

2.5.2 ᩘ್ゎᯒ࡟ࡼࡿ཯ᑕἼࡢఏᦙ⤒㊰ࡢ᥎ᐃ ... 31

2.5.3 ᇶᮏ࿘Ἴᩘࡢ ᐃ᪉ἲ㸪ゎᯒ᪉ἲࡢᥦ᱌ ... 38

2.5.4 ᥦ᱌ࡋࡓᇶᮏ࿘Ἴᩘࡢ ᐃ᪉ἲ㸪ゎᯒ᪉ἲࡢ᳨ド ... 43

2.5.5 ᳨ウ⤖ᯝ ... 48

2.6 ࡲ࡜ࡵ ... 48

➨2❶ࡢཧ⪃ᩥ⊩ ... 49

➨3❶ ⦪ᙎᛶἼ㏿ᗘࡢ ᐃ᪉ἲࡢ᳨ウ ... 51

3.1 ᴫㄝ ... 51

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3.2 ࢥࣥࢡ࣮ࣜࢺෆ㒊ࡢ㕲➽࡟ࡼࡿᙳ㡪ࡢ☜ㄆᐇ㦂 ... 53

3.2.1 ᐇ㦂ᴫせ ... 53

3.2.2 ᐇ㦂᪉ἲ ... 55

3.2.3 ᐇ㦂⤖ᯝ࠾ࡼࡧ⪃ᐹ ... 55

3.3 ᪤タࢥࣥࢡ࣮ࣜࢺᵓ㐀≀࡬ࡢ㐺⏝᪉ἲࡢ᳨ウᐇ㦂 ... 59

3.3.1 ᐇ㦂ᴫせ ... 59

3.3.2 ᐇ㦂᪉ἲ ... 60

3.3.3 ᐇ㦂⤖ᯝ࠾ࡼࡧ⪃ᐹ ... 60

3.4 ࡲ࡜ࡵ ... 63

➨3❶ࡢཧ⪃ᩥ⊩ ... 64

➨4❶ ࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢရ㉁⟶⌮࡬ࡢ㐺⏝࡟㛵ࡍࡿ᳨ウ ... 66

4.1 ᪂タࢥࣥࢡ࣮ࣜࢺࡢᅽ⦰ᙉᗘホ౯᪉ἲࡢ᳨ウ ... 66

4.1.1 ᴫㄝ ... 66

4.1.2 ᐃཎ⌮ ... 66

4.1.3 ⦪ᙎᛶἼ㏿ᗘ࡜ᅽ⦰ᙉᗘࡢ㛵ಀㄪᰝᐇ㦂 ... 67

4.1.4 ౪ヨయ࡛ࡢᅽ⦰ᙉᗘホ౯ ... 75

4.1.5 ᐇᵓ㐀≀࡛ࡢ᳨ドᐇ㦂 ... 80

4.1.6 ࡲ࡜ࡵ ... 88

4.2 ᪂タࢥࣥࢡ࣮ࣜࢺࡢ⾲ᒙ௜㏆ࡢရ㉁ホ౯᪉ἲࡢ᳨ウ ... 89

4.2.1 ᴫㄝ ... 89

4.2.2 ᐃཎ⌮࠾ࡼࡧ ᐃ᪉ἲ ... 90

4.2.3 ౪ヨయ࡛ࡢ ᐃᐇ㦂 ... 93

4.2.4 ᐇᵓ㐀≀࡛ࡢ᳨ドᐇ㦂 ... 99

4.2.5 ࡲ࡜ࡵ ... 105

➨4❶ࡢཧ⪃ᩥ⊩ ... 106

➨5❶ ࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢⅬ᳨デ᩿࡬ࡢ㐺⏝࡟㛵ࡍࡿ᳨ウ ... 109

5.1 ከ㔜཯ᑕἲ࡟ࡼࡿࢥࣥࢡ࣮ࣜࢺෆ㒊Ḟ㝗ホ౯᪉ἲࡢ᳨ウ ... 109

5.1.1 ᴫㄝ ... 109

5.1.2 ᐃཎ⌮ ... 110

5.1.3 ㇋ᯈࢆᶍᨃࡋࡓḞ㝗ࢆྵࡴ౪ヨయ࡛ࡢ ᐃᐇ㦂 ... 111

5.1.4 ࢥࣥࢡ࣮ࣜࢺෆ㒊࡟✵㝽ࢆྵࡴᐇᵓ㐀≀࡛ࡢ᳨ドᐇ㦂 ... 115

5.1.5 ࡲ࡜ࡵ ... 119

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5.2 ఏᦙ᫬㛫ᕪἲ࡟ࡼࡿࢥࣥࢡ࣮ࣜࢺෆ㒊Ḟ㝗ホ౯᪉ἲࡢ᳨ウ ... 120

5.2.1 ᴫㄝ ... 120

5.2.2 ᐃཎ⌮࠾ࡼࡧ ᐃཎ⌮ࡢ᳨ド ... 120

5.2.3 ᰕᙧ≧ࡢ౪ヨయ࡛ࡢ ᐃᐇ㦂 ... 124

5.2.4 ࡲ࡜ࡵ ... 128

5.3 ᪤タᵓ㐀≀ࡢᅽ⦰ᙉᗘホ౯᪉ἲࡢ᳨ウ ... 129

5.3.1 ᴫㄝ ... 129

5.3.2 ᪤タᵓ㐀≀࡟㐺⏝ྍ⬟࡞ᅽ⦰ᙉᗘホ౯ᘧࡢタᐃ᪉ἲࡢ᳨ウ ... 130

5.3.3 ᪤タᵓ㐀≀࡛ࡢ⦪ᙎᛶἼ㏿ᗘࡢ ᐃ᪉ἲࡢ᳨ドᐇ㦂 ... 137

5.3.4 ᐇᵓ㐀≀࡛ࡢ᳨ドᐇ㦂 ... 147

5.3.5 ࡲ࡜ࡵ ... 150

➨5❶ࡢཧ⪃ᩥ⊩ ... 152

➨6❶ ⥲ᣓ ... 154

6.1 ⤖ㄽ ... 154

6.2 ௒ᚋࡢㄢ㢟࡜ᒎᮃ ... 158

ㅰ㎡ ... 160

(5)

6WXG\RQ$SSOLFDELOLW\RI,PSDFW(ODVWLF:DYH0HWKRGIRU 6XVWDLQDEOH0DQDJHPHQWRI&RQFUHWH6WUXFWXUH

Satoshi Iwano

The government investment in construction has been decreasing in recent years due to increasing financial stringency. Therefore, in concrete structures, it would be considered important to build high quality concrete structures which have high durability performance and to conduct preventive

maintenance. From this viewpoint, sophisticatio n of quality control, inspections and diagnosis would be imperativ e.

The subject of this study is the Impact Elastic Wave method which is a one method of the

Non-destructive test for concrete structures. In this method, the elastic wave is generated by imp act on surface of the concrete from hitting of hammer, and Non-destructive evaluation such as

compressive strength, internal defect of the concrete structure are performed by measurement of the elastic wave. The Impact Elastic Wave method is expected to contribute the sophistication.

However evaluation procedures for concrete structures by the Impact Elastic Wave method have not been established due to lack of study. For this reason, in this study, the utilization of measured values from the Impact Elastic Wave method is considered to adapt evaluations for concrete structures.

The following results are confirmed: 1) The measuring method used the cross-correlation function between the input waveform and measured waveforms for the fundamental frequency of the concrete of which thickness is around 2.5 meters by is proposed. 2) The measuring method for elastic wave speed in the concrete structure with which surface is deterioration and in the reinforced concrete is proposed. 3) Evaluation procedures for compressive strength, su rface quality and internal defect of concrete structures by measured fundamental frequency and measured elastic wave speed are proposed. It is confirmed that the accuracy of proposed evaluation procedure is in narrow range of error from experiments on actual concretes structures.

These results suggest that the Impact Elastic Wave method would be able to contribute build a sustainable society.

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➨ 1❶ ᗎㄽ

1.1 ◊✲ࡢ⫼ᬒ

ᮏㄽᩥࡢ◊✲ᑐ㇟ࡣ㸪ࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢ㠀◚ቯヨ㦂ࡢ୍ᡭἲ࡛࠶ࡿ⾪ᧁ ᙎᛶἼἲ࡛࠶ࡿࠋࢥࣥࢡ࣮ࣜࢺࡣ㸪㗰ᮦ࡜࡜ࡶ࡟ᅵᮌᵓ㐀≀ࡸᘓ⠏ᵓ㐀≀ࢆᵓ

⠏ࡍࡿ୺せ࡞ᵓ㐀ᮦᩱ࡛࠶ࡾ㸪♫఍㈨ᮏࡢᩚഛ࡟ࡣḞ࠿ࡍࡇ࡜ࡢ࡛ࡁ࡞࠸ᮦᩱ

࡛࠶ࡿࠋࡇࡇ࡛㸪ᡃࡀᅜࡢ♫఍㈨ᮏᩚഛ≧ἣࢆ♧ࡍ㈨ᩱ࡜ࡋ࡚ᘓタᢞ㈨㢠ࡢ᥎

⛣ࢆᅗ ࡟♧ࡍ࡜ ^1.1)㸪᪂タ㈝ࡣ 1995 ᖺࢆࣆ࣮ࢡ࡜ࡋ࡚ᖺࠎῶᑡࡋ࡚࠸ࡿࡇ

࡜ࡀศ࠿ࡿࠋࡇࡢཎᅉ࡜ࡋ࡚ࡣ㸪ᡃࡀᅜ࡛ࡣ㧗㏿㐨㊰㸪㕲㐨㸪 ‴᪋タ㸪ୗỈ 㐨᪋タ࡞࡝୍ᐃࡢ♫఍㈨ᮏࡀᩚഛࡉࢀ㸪᪂つ࡟ᩚഛࡍ࡭ࡁ♫఍㈨ᮏࡀῶᑡࡋ࡚

࠸ࡿࡇ࡜ࡀ⪃࠼ࡽࢀࡿࡀ㸪ࡑࢀ௨ୖ࡟㸪ᡃࡀᅜࡢேཱྀࡣ 2005 ᖺࢆࣆ࣮ࢡ࡟ῶᑡ ࡋ࡚࠾ࡾ㸪ᑡᏊ㧗㱋໬࡟ࡼࡿ⛯཰ࡢపୗ࠾ࡼࡧ♫఍ಖ㞀㈝ࡢቑຍ࡟ࡼࡗ࡚♫఍

㈨ᮏࡢ᪂つᩚഛ࡟ᢞ㈨࡛ࡁࡿ㔠㢠ࡀᑡ࡞ࡃ࡞ࡗ࡚࠸ࡿࡇ࡜ࡀ⪃࠼ࡽ࠼ࡿࠋ ᡃࡀᅜࡢ♫఍㈨ᮏࡢ᪂つᩚഛࡣ㸪ࡇࡢᵝ࡟ཝࡋ࠸≧ἣ࡛ࡣ࠶ࡿࡀ㸪௒ᚋࡶᣢ

⥆ྍ⬟࡞♫఍ࢆᵓ⠏ࡋ࡚࠸ࡃࡓࡵ࡟ࡣᚲせ୙ྍḞ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿࠋࡑࡢ୍

౛ࢆ㏙࡭ࡿ࡜㸪ඛࡎ㸪⌧ᅾࡢᡃࡀᅜࡢᅜẸ⏕άࢆᏲࡿࡓࡵࡢㄢ㢟࡜ࡋ࡚㸪㏆ᖺ

Ⓨ⏕ࡋ࡚࠸ࡿᆅ⌫ ᬮ໬ࡢᙳ㡪࡜ᛮࢃࢀࡿᒁᆅⓗ࡞㞟୰㇦㞵ࡸᅵ◁⅏ᐖ࡬ࡢᑐ

⟇ࡀ࠶ࡿࠋࡇࡢᑐ⟇࡜ࡋ࡚ࡣ㸪Ỉᐖࡸᅵ◁⅏ᐖࡢᑐ⟇ࡢࡓࡵࡢᵓ㐀≀ࢆ᪂つ࡟

ᩚഛࡍࡿࡔࡅ࡛ࡣ࡞ࡃ㸪ᆅ⌫ ᬮ໬ࡢ㐍⾜ࢆᢚไࡍࡿࡓࡵ࡟஧㓟໬Ⅳ⣲ࡢ᤼ฟ

ᅗᡃࡀᅜࡢ♫఍㈨ᮏᩚഛ㢠ࡢ᥎⛣

(7)

㔞ࡢ๐ῶࢆ┠ⓗ࡜ࡋࡓ♫఍㈨ᮏࢆ᪂つ࡟ᩚഛࡍࡿࡇ࡜ࡶ㔜せ࡜࡞ࡿࠋලయⓗ࡟

ࡣ㸪⮬ື㌴஺㏻࡛ࡢ῰⁫ゎᾘᑐ⟇ࡢࡓࡵࡢ᪂つ㐨㊰ᩚഛ㸪᪂ᖿ⥺ࡢ᪂つᩚഛ࡞

࡝㸪බඹ஺㏻ࡢ฼⏝ࢆಁ㐍ࡋ࡚⮬ື㌴ࡢ฼⏝ࢆῶᑡࡉࡏࡿࡓࡵࡢ♫఍㈨ᮏࡢᩚ

ഛ࡛࠶ࡿࠋࡇࡢ౛ࡢ௚࡟ࡶ㸪ᮾ᪥ᮏ኱㟈⅏࡞࡝ࡢ኱⅏ᐖ࠿ࡽࡢ᚟⯆ࡸ௒ᚋⓎ⏕

ࡀண ࡉࢀࡿᕧ኱ᆅ㟈࡬ࡢᑐ⟇࡞࡝㸪ᣢ⥆ྍ⬟࡞♫఍ࢆᵓ⠏ࡋ࡚࠸ࡃࡓࡵ࡟ࡣ㸪

♫఍㈨ᮏࡢ᪂つᩚഛࡣᚲせ୙ྍḞ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿࠋ

୍᪉㸪᭦᪂㈝㸪⥔ᣢ⟶⌮㈝ࡣ㸪ᅗ ࠿ࡽ㸪ᖺࠎቑຍࡋ࡚࠸ࡿࡇ࡜ࡀศ࠿ࡿࠋ

≉࡟ᅵᮌᵓ㐀≀ࡣ㸪୰ኸ㧗㏿㐨㊰ࡢ➲Ꮚࢺࣥࢿ࡛ࣝࡢ஦ᨾࡀグ᠈࡟᪂ࡋ࠸ࡀ㸪㢼㞵࡞࡝ࡢ⮬↛⎔ቃ࡟᭚ࡉࢀࡿࡇ࡜ࡀከࡃ࠶ࡾ㸪⤒ᖺຎ໬ࡍࡿᛶ㉁ࡀ࠶ࡿࠋࡇ ࡢࡇ࡜࠿ࡽ㸪౪⏝୰ࡢ᪤タᵓ㐀≀࡟ᑐࡋ࡚ࡣ㸪♫఍㈨ᮏ࡜ࡋ࡚ࡢᏳ඲ᛶ⬟ࢆᣢ

⥆ࡋ࡚࠸ࡃࡓࡵ࡟ࡣ㐺ษ࡞⥔ᣢ⟶⌮ࡀᚲせ࡜࡞ࡿࠋ≉࡟㸪ᡃࡀᅜ࡛ࡣ㧗ᗘᡂ㛗 ᮇ࡟ከࡃࡢ♫఍㈨ᮏࡀᘓタࡉࢀ㸪௒ᚋ⭾኱࡞ᩘࡢ♫఍㈨ᮏࡀᘓタᚋ 50 ᖺ௨ୖ⤒

㐣ࡍࡿࡇ࡜࡜࡞ࡿࠋࡇࡢ≧ἣ࠿ࡽ㸪᭦᪂㈝㸪⥔ᣢ⟶⌮㈝ࡣ௒ᚋ᭦࡟ቑຍࡋ࡚࠸

ࡃࡶࡢ࡜⪃࠼ࡽࢀࡿࠋ

௨ୖࡢ࡜࠾ࡾ㸪ᡃࡀᅜ࡛ࡣ㸪ཝࡋ࠸㈈ᨻ≧ἣ࡛࠶ࡾ࡞ࡀࡽᚲせ࡞♫఍㈨ᮏࢆ

᪂つ࡟ᩚഛࡋ㸪ࡉࡽ࡟ᩚഛࡋࡓ♫఍㈨ᮏ࡟ᑐࡋ࡚ࡣ⥔ᣢ⟶⌮ࢆࡋ࡚࠸ࡃ࡜࠸࠺

ㄢ㢟࡟┤㠃ࡋ࡚࠸ࡿ࡜࠸࠼ࡿࠋࡇࢀࡽࡢㄢ㢟࡟ᑐࡍࡿ᭷ຠ࡞ᑐ⟇࡜ࡋ࡚ࡣ㸪᪂ タᵓ㐀≀ࡢ㛗ᑑ࿨໬㸪᪤タᵓ㐀≀ࡢண㜵ಖ඲ᆺࡢ⥔ᣢ⟶⌮㸪ࡇࢀࡽࡀ࠶ࡿࠋ᪂ タᵓ㐀≀ࡢ㛗ᑑ࿨໬࡜ࡣ㸪᪂タ᫬࡟ရ㉁ࡢ㧗࠸ᵓ㐀≀ࢆᘓタࡋ࡚࠸ࢀࡤ㸪⤒ᖺ

ຎ໬࡟ᑐࡍࡿ᢬ᢠຊࡀᙉࡃ࡞ࡾ㸪⪏ஂᛶ⬟ࡀྥୖࡋ࡚㸪௨ᚋࡢ᭦᪂㈝㸪⥔ᣢ⟶

⌮㈝ࢆపῶ࡛ࡁࡿ࡜࠸࠺⪃࠼᪉ ^1.2)࡟ᇶ࡙ࡃࡶࡢ࡛࠶ࡿࠋࡲࡓ㸪᪤タᵓ㐀≀ࡢண 㜵ಖ඲ᆺࡢ⥔ᣢ⟶⌮࡜ࡣ㸪ᵓ㐀≀࡟㔜኱࡞ຎ໬ࡀⓎ⏕ࡋ࡚࠿ࡽಟ⧋ࢆࡍࡿࡢ࡛

ࡣ࡞ࡃ㸪ᵓ㐀≀ࢆᐃᮇⓗ࡟Ⅼ᳨ࡋ࡚㸪㔜኱࡞ຎ໬ࡀⓎ⏕ࡍࡿ๓࡟㐺ษ࡞ᑐ⟇ࢆ

᪋ࡍ࡜࠸࠺ィ⏬ⓗ࡞⥔ᣢ⟶⌮ࢆ⾜࠺ࡇ࡜࡟ࡼࡗ࡚㸪᭦᪂㈝㸪⥔ᣢ⟶⌮㈝ࢆపῶ

⾲᪂タ᫬ࡢࢥࣥࢡ࣮ࣜࢺ࡟ᑐࡍࡿရ㉁⟶⌮࡛ࡢヨ㦂㡯┠

ヨ㦂✀ู ヨ㦂㡯┠

᪋ᕤ ሷ໬≀⥲㔞つไ

᪋ᕤ ༢఩Ỉ㔞 ᐃ

᪋ᕤ ࢫࣛࣥࣉヨ㦂

᪋ᕤ ࢥࣥࢡ࣮ࣜࢺࡢᅽ⦰ᙉᗘヨ㦂

᪋ᕤ ✵Ẽ㔞 ᐃ

᪋ᕤᚋヨ㦂 ࡦࡧ๭ࢀㄪᰝ

᪋ᕤᚋヨ㦂 ࢸࢫࢺࣁ࣐࣮ࣥ࡟ࡼࡿᙉᗘ᥎ᐃㄪᰝ

᪋ᕤᚋヨ㦂㓄➽≧ែཬࡧ࠿ࡪࡾ

᪋ᕤᚋヨ㦂 ᙉᗘ ᐃ

(8)

࡛ࡁࡿ࡜࠸࠺⪃࠼᪉ ^1.3)࡟ᇶ࡙ࡃࡶࡢ࡛࠶ࡿࠋࡉࡽ࡟ࢥࣥࢡ࣮ࣜࢺᵓ㐀≀࡛ࡣ㸪 ࡇࢀࡽࡢᑐ⟇ࡢᡭẁ࡜ࡋ࡚㸪㠀◚ቯヨ㦂ᢏ⾡ࢆά⏝ࡋ࡚㸪᪋ᕤ᫬ࡢ᳨ᰝࡸရ㉁

⟶⌮ࢆ඘ᐇࡉࡏࡿࡇ࡜ࡸ᪤タᵓ㐀≀ࡢⅬ᳨࣭デ᩿᪉ἲࢆ㧗ᗘ໬ࡉࡏࡿࡇ࡜ࡀ᭷

ຠ࡟࡞ࡿ࡜⪃࠼ࡽࢀࡿࠋ

ࡇࡇ࡛㸪᪂タᵓ㐀≀ࡢ㛗ᑑ࿨໬ࡢࡓࡵࡢ᪋ᕤ᫬ࡢ᳨ᰝࡸရ㉁⟶⌮࡟㛵ࡋ࡚㸪 ࢥࣥࢡ࣮ࣜࢺ࡛ᐇ᪋ࡉࢀ࡚࠸ࡿヨ㦂㡯┠ࡢ୍౛ࢆ⾲ ࡟♧ࡍ ^1.4)ࠋ⾲ ࡛ヨ㦂✀ูࡀࠕ᪋ᕤࠖࡢヨ㦂ࡣ㸪Ⲵ༺ࡋ᫬࡟᥇ྲྀࡋࡓ౪ヨయ࡟ᑐࡍࡿヨ㦂࡛࠶ࡾ㸪

⌧ሙ࡟ᦙධࡉࢀࡓ⏕ࢥࣥࢡ࣮ࣜࢺࡢᛶ⬟࡟ᑐࡍࡿヨ㦂࡜࡞ࡿࠋࡇࢀ࡟ᑐࡋ࡚㸪ヨ㦂✀ูࡀࠕ᪋ᕤᚋヨ㦂ࠖࡢヨ㦂ࡣ㸪ࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࢆ┤᥋ホ౯ࡍࡿ㠀◚

ቯヨ㦂࡛࠶ࡿࠋ᪂タ᫬ࡢࢥࣥࢡ࣮ࣜࢺࡢရ㉁ࡸᛶ⬟ࡣ㸪⌧ሙ࡟࠾ࡅࡿ⥾ᅛࡵ᪉ ἲ㸪㣴⏕≧ἣ㸪 ᗘ⟶⌮➼ࡢ᪋ᕤ᪉ἲ࡟ࡼࡗ࡚኱ࡁࡃኚ໬ࡍࡿࠋࡇࡢᵝ࡞ᛶ㉁

࡛࠶ࡿࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢࠕ᪋ᕤᚋヨ㦂ࠖ࡟ࡣ㸪㠀◚ቯヨ㦂ࡀ᭷ຠ࡞ᡭẁ࡛

࠶ࡾ㸪ᐇ᪋ࡉࢀ࡚࠸ࡿࠋ

ḟ࡟㸪᪤タᵓ㐀≀ࡢண㜵ಖ඲ᆺࡢ⥔ᣢ⟶⌮࡜ࡋ࡚ᐇ᪋ࡉࢀࡿⅬ᳨ࡢ✀㢮ࢆᅗ ࡟♧ࡍ ^1.5)ࠋࢥࣥࢡ࣮ࣜࢺࡣ⤒ᖺኚ໬࡟ࡼࡾຎ໬ࡍࡿᛶ㉁ࡀ࠶ࡿࠋຎ໬ᶵᵓ

࡟ࡣ㸪୰ᛶ໬㸪ሷᐖ㸪࢔ࣝ࢝ࣜ㦵ᮦ཯ᛂ㸪෾ᐖ࡞࡝ᵝࠎ࡞✀㢮ࡀ࠶ࡿࡀ㸪᪥ᖖ

Ⅼ᳨ࡸᐃᮇⅬ᳨ࢆᐇ᪋ࡍࡿࡇ࡜࡟ࡼࡾ㸪ᵓ㐀≀ࡢ≧ែኚ໬ࡢண 㸪ຎ໬ᶵᵓࡢ

デ᩿

⥭ᛴⅬ᳨

ຎ໬ᶵᵓࡢ᥎ᐃ ண

ホ౯ุ࣭ᐃ ホ౯ุ࣭ᐃ

❹ᕤ᳨ᰝ

ึᮇⅬ᳨

᪥ᖖⅬ᳨

ᐃᮇⅬ᳨

⮫᫬Ⅼ᳨

Ⅼ᳨

ᅗ᪤タࡢࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢⅬ᳨ࡢ✀㢮^{ࢆࡶ ࡜ ࡟ సᡂ}

(9)

᥎ᐃ㸪ண ➼ࡀ⾜࠼㸪ྜ⌮ⓗ࡞⥔ᣢ⟶⌮ࢆ⾜࠺ࡇ࡜ࡀྍ⬟࡟࡞ࡿ࡜ࡉࢀ࡚࠸ࡿࠋ ࡇࢀࡽࡢⅬ᳨࡟ᐇ᪋ࡍࡿホ౯᪉ἲ࡜ࡋ࡚㸪㠀◚ቯヨ㦂ࡸ◚ቯࢆక࠺ヨ㦂᪉ἲ࡞

࡝ࡀ࠶ࡿࠋࡇࢀࡽࡢ࠺ࡕ◚ቯࢆక࠺ヨ㦂᪉ἲࡣ㸪ࡼࡾ⢭ᗘࡢ㧗࠸᝟ሗࢆᚓࡿࡇ

࡜ࡀ࡛ࡁࡿࡀ㸪ᵓ㐀≀࡟ᦆയࢆ୚࠼ࡿࡇ࡜࠿ࡽ㸪ከ⏝ࡍࡿࡇ࡜ࡣዲࡲࡋࡃ࡞࠸

࡜⪃࠼ࡽࢀ࡚࠸ࡿࠋࡇࢀ࡟ᑐࡋ࡚㸪㠀◚ቯヨ㦂ࡣ㸪ᵓ㐀≀࡟ᦆയࢆ୚࠼ࡿࡇ࡜

࡞ࡃ㸪ᗈ⠊ᅖ࡛ᐇ᪋࡛ࡁࡿ࡜࠸࠺≉㛗ࡀ࠶ࡿࠋᚑࡗ࡚㸪౛࠼ࡤ㸪ඛࡎࡣ㠀◚ቯ ヨ㦂࡛ຎ໬ࡀ㐍ᒎࡋ࡚࠸ࡿ⠊ᅖࢆ≉ᐃࡋ࡚㸪◚ቯࢆక࠺ヨ㦂᪉ἲࢆᐇ᪋ࡍࡿ఩

⨨ࢆ㝈ᐃࡋุ࡚᩿ࡍࡿ࡞࡝㸪୧ヨ㦂ࢆే⏝ࡍࢀࡤ㸪ࡼࡾྜ⌮ⓗ࡞Ⅼ᳨ࡀᐇ᪋࡛

ࡁࡿ࡜⪃࠼ࡽࢀࡿࠋࡲࡓ㸪㠀◚ቯヨ㦂ࡣࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢ⾲㠃࠾ࡼࡧ⾲ᒙ 㒊࡛ࡢኚ≧࡟㝈ࡽࡎ㸪ෆ㒊ࡢ≧ἣࢆᢕᥱ࡛ࡁࡿヨ㦂᪉ἲࡶ࠶ࡾ㸪ຎ໬ᶵᵓࡢ᥎ ᐃࡸண ࡟࠾࠸࡚㸪ࡼࡾ᭷ຠ࡞᝟ሗࢆᚓࡿࡇ࡜ࡀ࡛ࡁࡿ࡜ᮇᚅࡉࢀࡿࠋ᪤タࡢ ࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢⅬ᳨࣭デ᩿࡟㠀◚ቯヨ㦂ࢆά⏝ࡍࢀࡤ㸪Ⅼ᳨࣭デ᩿ࡀ㧗 ᗘ໬ࡉࢀࡿࡶࡢ࡜ᮇᚅࡉࢀࡿࠋ

௨ୖࡢ࡜࠾ࡾ㸪ࢥࣥࢡ࣮ࣜࢺᵓ㐀≀࡟ᑐࡋ࡚㠀◚ቯヨ㦂ᢏ⾡ࢆά⏝ࡍࡿࡇ࡜

ࡣ㸪௒ᚋࡢ♫఍㈨ᮏᩚഛ࡟࠾࠸࡚᭷ຠ࡞ᡭẁࡢ 1 ࡘ࡟࡞ࡿ࡜⪃࠼ࡽࢀࡿࠋ

1.2 ◊✲┠ⓗ

ᮏ◊✲࡛ࡣ㸪ࢥࣥࢡ࣮ࣜࢺࡢ㠀◚ቯヨ㦂ᡭἲࡢ࠺ࡕ⾪ᧁᙎᛶἼἲ࡟╔┠ࡋࡓࠋ

⾪ᧁᙎᛶἼἲࡣ㸪㗰⌫ࡸࣁ࣐࣮࡛ࣥࢥࣥࢡ࣮ࣜࢺ⾲㠃ࢆᡴᧁࡍࡿࡇ࡜࡟ࡼࡾࢥ

ࣥࢡ࣮ࣜࢺ࡟⾪ᧁࢆ୚࠼㸪ࡇࡢ⾪ᧁ࡟ࡼࡾࢥࣥࢡ࣮ࣜࢺ࡟Ⓨ⏕ࡋࡓᙎᛶἼࢆ

ᐃࡍࡿᡭἲ࡛࠶ࡿ ^1.6)^㸪^1.7)_ࠋࢥࣥࢡ࣮ࣜࢺ⾲㠃࡟⾪ᧁࢆ୚࠼ࡿ࡜⦪ᙎᛶἼ㸪ᶓᙎ ᛶἼ㸪ࣞ࢖࣮ࣜἼ࡞࡝ࡢᙎᛶἼࡀྠ᫬࡟Ⓨ⏕ࡍࡿࡀ㸪ࡇࡢ࠺ࡕ⦪ᙎᛶἼ࡟ࡣ㸪

ヨ㦂᪉ἲ ≉ᚩ ῝ࡉࡢ㐺⏝⠊ᅖ

㸦ୖ㝈್㸧

㉥እ⥺ࢧ࣮ࣔࢢࣛࣇ࢕࣮ἲ 㠀᥋ゐ㸪㠃ⓗ࡟ᗈ࠸⠊ᅖ࡛ࡢ ᐃ 30mm㹼50mm⛬ᗘ ᡴ㡢ἲ Ⅼ ᐃЍ᱁Ꮚ≧࡟ ᐃ࣭ゎᯒ࡟ࡼࡿ㠃ⓗ࡞ホ౯

ᡴᧁ㡢࡞࡝࡟ࡼࡿ◳ࡉ࡞࡝ࡢ᥎ᐃ 30mm㹼50mm⛬ᗘ 㟁☢Ἴ࣮ࣞࢲἲ ῝ࡉ᪉ྥ࡟㠃 ᐃЍ᱁Ꮚ≧࡟ ᐃ࣭ゎᯒ

࡟ࡼࡾ❧యⓗ࡞ホ౯ 200mm㸦࠿ࡪࡾ㸧⛬ᗘ

⾪ᧁᙎᛶἼἲ ᩘm⛬ᗘ

῝ࡉ᪉ྥ࡟⥺ⓗ࡟ ᐃЍ᱁Ꮚ≧࡟ ᐃ࣭ゎᯒ࡟

ࡼࡾ❧యⓗ࡞ホ౯

⦪ᙎᛶἼ㏿ᗘ㸪᥋ゐ᫬㛫㸦⾪ᧁᙎᛶἼἲ㸧࡟ࡼ

ࡿရ㉁ホ౯

X⥺㏱㐣ἲ 㠃 ᐃЍ❧యⓗ࡞ホ౯ 200mm㸦࠿ࡪࡾ㸧⛬ᗘ

㉸㡢Ἴἲ 1m⛬ᗘ

ᅗྛ㠀◚ቯヨ㦂ᡭἲࡢẚ㍑^{ࢆࡶ ࡜࡟ సᡂ}

(10)

ࢥࣥࢡ࣮ࣜࢺෆ㒊࡟Ḟ㝗ࡀᏑᅾࡍࡿࡇ࡜࡟ࡼࡾఏᦙ⤒㊰ࡸఏᦙ᫬㛫ࡀኚ໬ࡋ㸪

ࡲࡓ㸪ࢥࣥࢡ࣮ࣜࢺࡢᙎᛶಀᩘ࡟ࡼࡗ࡚ఏᦙ㏿ᗘࡀኚ໬ࡍࡿᛶ㉁ࡀ࠶ࡿࠋࡇࡢ ᛶ㉁࠿ࡽ㸪ࢥࣥࢡ࣮ࣜࢺෆ㒊࡟Ⓨ⏕ࡋࡓ⦪ᙎᛶἼࢆ ᐃࡍࡿࡇ࡜࡟ࡼࡾ㸪ࢥࣥ

ࢡ࣮ࣜࢺࡢෆ㒊Ḟ㝗᥈ᰝࡸࢥࣥࢡ࣮ࣜࢺࡢᅽ⦰ᙉᗘ᥎ᐃ࡞࡝㸪᪂タ᫬ࡢ᳨ᰝࡸ

᪋ᕤ⟶⌮㸪᪤タᵓ㐀≀ࡢⅬ᳨࡟฼⏝࡛ࡁࡿከࡃࡢヨ㦂ࡀᐇ᪋࡛ࡁࡿࠋ

ࡲࡓ㸪ཧ⪃ᩥ⊩ 1.8)࡟ࡼࡿྛ㠀◚ቯヨ㦂ᡭἲࡢẚ㍑ࢆᅗ ࡟♧ࡍࠋ⾪ᧁᙎ ᛶἼἲ࡜ྠᵝ࡟ࢥࣥࢡ࣮ࣜࢺ⾲㠃࡛┤᥋ ᐃࡍࡿᡭἲ࡟㸪ᡴ㡢ἲ㸪㟁☢Ἴ࣮ࣞ

ࢲἲ㸪㉸㡢Ἴἲ࡞࡝ࡀ࠶ࡿࠋᡴ㡢ἲࡣ㸪ࢥࣥࢡ࣮ࣜࢺ⾲㠃ࡢࣁ࣐࣮ࣥ➼࡟ࡼࡿ

ᡴᧁ࡟ࡼࡿ᣺ືࢆ㠀᥋ゐࡢࢭࣥࢧ࣮࡛ཷಙࡍࡿ᪉ἲ࡛࠶ࡿࠋ▷᫬㛫࡛ ᐃ࡛ࡁ

ࡿᡭἲ࡛࠶ࡿࡀ㸪 ᐃᑐ㇟ࡣࢥࣥࢡ࣮ࣜࢺࡢ⾲ᒙ௜㏆࡟㝈ᐃࡉࢀࡿࠋ㟁☢Ἴࣞ

࣮ࢲἲࡣ㸪ࢥࣥࢡ࣮ࣜࢺ⾲㠃࠿ࡽෆ㒊࡟㟁☢Ἴࢆධຊࡋ㸪ࢥࣥࢡ࣮ࣜࢺ࡜㟁Ẽ

ⓗᛶ㉁ࡀ␗࡞ࡿᮦᩱ࡛཯ᑕࡋࡓ㟁☢Ἴࢆཷಙࡍࡿ᪉ἲ࡛࠶ࡿࠋ㟁☢Ἴࡣ㕲➽࡛

཯ᑕࡍࡿࡇ࡜࠿ࡽ㸪㕲➽᥈ᰝ࡟ᗈࡃ౑⏝ࡉࢀ࡚࠸ࡿᡭἲ࡛࠶ࡿࠋࡋ࠿ࡋ࡞ࡀࡽ㸪㓄➽㛫㝸ࡸ౑⏝ࡍࡿ࣮ࣞࢲࡢ࿘Ἴᩘ࡞࡝࡟ࡶࡼࡿࡀ㸪ᇶᮏⓗ࡞ ᐃᑐ㇟ࡣ㕲➽

ࡸ㕲➽ࡢ࠿ࡪࡾ῝ࡉࡼࡾࡶὸ࠸⠊ᅖࡢࢥࣥࢡ࣮ࣜࢺ࡟㝈ᐃࡉࢀࡿࠋ㉸㡢Ἴἲࡣ㸪 ࢥࣥࢡ࣮ࣜࢺ⾲㠃࠿ࡽ࿘Ἴᩘ 20kHz⛬ᗘ௨ୖࡢᙎᛶἼ㸦㉸㡢Ἴ㸧ࢆࢥࣥࢡ࣮ࣜ

ࢺෆ㒊࡟ධຊࡋ㸪ࢥࣥࢡ࣮ࣜࢺ࡜㡢㡪࢖ࣥࣆ࣮ࢲࣥࢫࡀ␗࡞ࡿᮦᩱ࡛཯ᑕࡋࡓ

㉸㡢Ἴࡢ ᚟᫬㛫ࡸ㸪ࢥࣥࢡ࣮ࣜࢺ୰࡛ࡢఏᦙ᫬㛫ࢆ ᐃࡍࡿ᪉ἲ࡛࠶ࡿࠋྂ

ࡃ࠿ࡽ฼⏝ࡉࢀ࡚࠸ࡿᡭἲ࡛࠶ࡿࡀ㸪㉸㡢Ἴࢆࢥࣥࢡ࣮ࣜࢺෆ㒊࡟ධຊࡋ㸪ࡲ

ࡓ㸪ཷಙࡍࡿࡓࡵ࡟ࡣ㸪ࢥࣥࢡ࣮ࣜࢺࡢ⾲㠃ฎ⌮ࡸ᥋ゐ፹㉁ࢆᚲせ࡜ࡋ㸪 ᐃ

࡟᫬㛫ࢆせࡍࡿࠋࡲࡓ㸪Ἴ㛗ࡀ▷࠸㉸㡢Ἴࢆ౑⏝ࡍࡿࡇ࡜࠿ࡽ㸪ࢥࣥࢡ࣮ࣜࢺ ෆ㒊ࡢ㕲➽ࡸ㦵ᮦ࡛ࡢ཯ᑕ࡟ࡼࡿᙳ㡪ࢆཷࡅࡿࡇ࡜࡜࡞ࡿࠋ

ࡇࢀࡽࡢᡭἲ࡜ẚ㍑ࡋ࡚㸪⾪ᧁᙎᛶἼἲࡣ࿘Ἴᩘ 20kHz ௨ୗ࡜Ἴ㛗ࡀ㛗ࡃ㸪 ఏᦙ᫬ࡢ࢚ࢿࣝࢠ࣮ῶ⾶ࡀᑠࡉ࠸ᙎᛶἼࢆ౑⏝ࡍࡿࠋࡇࡢᛶ㉁࠿ࡽ㸪 ᐃ࡟㝿 ࡋ࡚ࢥࣥࢡ࣮ࣜࢺ⾲㠃ࡢ஦๓ฎ⌮ࢆ࠶ࡲࡾᚲせ࡜ࡏࡎ࡟▷᫬㛫࡛ࡢ ᐃࡀྍ⬟

࡛࠶ࡾ㸪ࡲࡓ㸪ཌࡉ 2500mm⛬ᗘࡢࢥࣥࢡ࣮ࣜࢺࡲ࡛㐺⏝࡛ࡁࡿ࡜࠸࠺ࡇ࡜ࡀ

≉㛗࡜࡞ࡿࠋ≉࡟ᅵᮌᵓ㐀≀࡛ࡣ㸪㢼㞵࡞࡝ࡢ⮬↛⎔ቃ࡟᭚ࡉࢀࡿࡇ࡜࡞࡝࠿

ࡽ⾲㠃ࡀ㢼໬ࡋ࡚࠸ࡿࡇ࡜ࡸ㸪ᙧ≧ࡀ኱ᆺ࡛࠶ࡿࡇ࡜ࡀ㸪㠀◚ቯヨ㦂࡟࠾࠸࡚

ㄢ㢟࡜࡞ࡿࡇ࡜ࡀ࠶ࡿࠋ⾪ᧁᙎᛶἼἲࡣ௚ᡭἲ࡜ẚ㍑ࡋ࡚㸪ࡇࢀࡽࡢㄢ㢟࡟ᑐ ᛂࡋࡓヨ㦂ᡭἲ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿࠋ

ࡋ࠿ࡋ࡞ࡀࡽ㸪⾪ᧁᙎᛶἼἲࢆ㐺⏝ࡋࡓࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢホ౯᪉ἲ࡟ࡘ

࠸࡚ࡣ㸪ࡇࢀࡲ࡛༑ศ࡞◊✲ࡀࡉࢀ࡚࠸ࡿ࡜ࡣゝ࠸㞴ࡃ㸪⌧≧࡛ࡣ㸪㐺⏝᮲௳

ࡸ㐺⏝᪉ἲ࡟ࡘ࠸࡚༑ศ࡟☜❧ࡉࢀ࡚࠸࡞࠸ࠋࡑࡇ࡛㸪ᮏ◊✲࡛ࡣ㸪ࢥࣥࢡࣜ

࣮ࢺࡢ㒊ᮦཌࡉࡸࢥࣥࢡ࣮ࣜࢺࡢ⾲㠃≧ែ࡟ࡼࡗ࡚㸪ࢥࣥࢡ࣮ࣜࢺෆ㒊࡟Ⓨ⏕

(11)

ࡍࡿ⦪ᙎᛶἼࡢఏᦙᛶ㉁ࡀ࡝ࡢࡼ࠺࡟ኚ໬ࡍࡿ࠿ࢆ᳨ウࡋ㸪⾪ᧁᙎᛶἼἲ࡟ࡼ

ࡿ⦪ᙎᛶἼࡢ ᐃ᪉ἲࢆ᫂ࡽ࠿࡟ࡍࡿࡇ࡜࡜㸪ࡉࡽ࡟㸪ࡇࡢ ᐃ⤖ᯝࢆ࡝ࡢࡼ

࠺࡟฼⏝ࡍࢀࡤ㸪ࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢ᪂タ᫬ࡢ᳨ᰝࡸရ㉁⟶⌮㸪᪤タᵓ㐀≀

ࡢⅬ᳨࡟㐺⏝࡛ࡁࡿࡢ࠿ࢆ᳨ウࡋ㸪⾪ᧁᙎᛶἼἲ࡟ࡼࡿホ౯᪉ἲࡢ㐺⏝᮲௳ࡸ

㐺⏝᪉ἲࢆ᫂ࡽ࠿࡟ࡍࡿࡇ࡜ࢆ┠ⓗࡋࡓࠋ

1.3 ᪤ ࡢ◊✲

⾪ᧁᙎᛶἼἲࡢ୍ᡭἲ࡜ࡋ࡚㸪⡿ᅜ࡛つ᱁໬ࡉࢀࡓ࢖ࣥࣃࢡࢺ࢚ࢥ࣮ἲ^1.6) ࡀ࠶ࡾ㸪ከࡃࡢ◊✲ࡀࡉࢀ࡚ࡁࡓࠋCarinoࡽ࡟ࡼࡿཧ⪃ᩥ⊩1.9)࡛ࡣ㸪ࢥࣥࢡࣜ

࣮ࢺᗋ∧࡛ࡢෆ㒊Ḟ㝗᥈ᰝࢆ┠ⓗ࡜ࡋࡓ◊✲ࡀࡉࢀ࡚࠸ࡿࠋࡇࡢ◊✲࡛ࡣ㸪㗰

⌫ᡴᧁ࡟ࡼࡾࢥࣥࢡ࣮ࣜࢺෆ㒊࡟ධຊࡉࢀࡿᙎᛶἼࡸ㸪Ⓨ⏕ࡍࡿᙎᛶἼ࡟ࡘ࠸

࡚㸪ᩘ್ゎἲࢆ⏝࠸ࡓ᳨ウࡀࡉࢀ࡚࠸ࡿࠋChengࡽ࡟ࡼࡿཧ⪃ᩥ⊩1.10)࡛ࡣ㸪㕲➽ࢥࣥࢡ࣮ࣜࢺ࡛ࡢ㕲➽⭉㣗࡟ࡼࡿ⾲ᒙ௜㏆ࡢỈᖹࡦࡧ๭ࢀࡸ๤㞳࡞࡝ࡢḞ 㝗᥈ᰝࢆ┠ⓗ࡜ࡋࡓ◊✲ࡀࡉࢀ࡚࠸ࡿࠋࡇࡢ◊✲࡛ࡣ㸪ࡇࢀࡽࡢḞ㝗ࡀᏑᅾࡍ

ࡿሙྜ࡟㸪㗰⌫ᡴᧁ࡟ࡼࡾࢥࣥࢡ࣮ࣜࢺෆ㒊࡟Ⓨ⏕ࡍࡿᙎᛶἼࡢኚ໬࡟ࡘ࠸࡚㸪

ᩘ್ゎἲࢆ⏝࠸ࡓ᳨ウࡀࡉࢀ࡚࠸ࡿࠋSansaloneࡽ࡟ࡼࡿཧ⪃ᩥ⊩1.11)࡛ࡣ㸪⾪

ᧁᙎᛶἼἲ࡛ࡢࢥࣥࢡ࣮ࣜࢺࡢ㒊ᮦཌࡉホ౯࡞࡝࡛ᚲせ࡜࡞ࡿ⦪ᙎᛶἼ㏿ᗘࡢ ᐃ᪉ἲ࡟ࡘ࠸࡚ࡢ᳨ウࡀࡉࢀ࡚࠸ࡿࠋ᪥ᮏᅜෆ࡛ࡶ㸪⡿ᅜ࡛つ᱁໬ࡉࢀࡓ࢖

ࣥࣃࢡࢺ࢚ࢥ࣮ἲࢆ⏝࠸ࡓከࡃࡢ◊✲ࡀࡉࢀ࡚ࡁࡓࠋΏ㎶ࡽ࡟ࡼࡿཧ⪃ᩥ⊩

1.12)࡛ࡣ㸪PCࢢࣛ࢘ࢺࡢ඘ሸᗘࡢホ౯ᡭἲ࡜ࡋ࡚ࡢ࢖ࣥࣃࢡࢺ࢚ࢥ࣮ἲࡢ㐺⏝

ᛶ࡟ࡘ࠸࡚ࡢ᳨ウࡀࡉࢀ࡚࠸ࡿࠋࡉࡽ࡟Ώ㎶ࡽࡣ㸪ཧ⪃ᩥ⊩1.13)࡟࠾࠸࡚㸪PC ࢢࣛ࢘ࢺࡢ඘ሸᗘࡢホ౯ᡭἲ࡟࠾ࡅࡿ࢖ࣥࣃࢡࢺ࢚ࢥ࣮ἲ࡟ࡼࡿ ᐃ⤖ᯝࡢ⏬

ീฎ⌮᪉ἲ࡟ࡘ࠸࡚ࡢ᳨ウࢆࡋ࡚࠸ࡿࠋࡇࢀࡽከࡃࡢ◊✲ᡂᯝ࠿ࡽ࢖ࣥࣃࢡࢺ

࢚ࢥ࣮ἲࡣ㸪ཧ⪃ᩥ⊩1.14)ࡸཧ⪃ᩥ⊩1.15)࡟࠾࠸࡚ࢥࣥࢡ࣮ࣜࢺࡢෆ㒊✵Ὕࡢ ᥈ᰝ᪉ἲ࡜ࡋ࡚⤂௓ࡉࢀ࡚࠸ࡿࠋ

⾪ᧁᙎᛶἼἲࡢ୺࡞ ᐃ㡯┠࡟ࢥࣥࢡ࣮ࣜࢺෆ㒊ࢆከ㔜཯ᑕࡍࡿ⦪ᙎᛶἼࡢ  ᚟᫬㛫ࡢ ᐃࡀ࠶ࡿࡀ㸪࢖ࣥࣃࢡࢺ࢚ࢥ࣮ἲ࡛ࡣࡇࡢ ᐃࢆ㸪ࢥࣥࢡ࣮ࣜࢺ

⾲㠃ࢆ㗰⌫࡛ᡴᧁࡋ㸪Ⓨ⏕ࡋࡓ᣺ືࢆ ᐃࡋ࡚㸪 ᐃ᣺ື࡟ᑐࡋ࡚㧗㏿ࣇ࣮ࣜ

࢚ኚ᥮㸦௨ୗ㸪FFT࡜࠸࠺㸧ࢆ⾜࠺᪉ἲ࡜ࡋ࡚࠸ࡿࠋࡇࡢ ᐃ౛ࢆᅗ࡟♧ࡍࠋ

࢖ࣥࣃࢡࢺ࢚ࢥ࣮ἲ࡛ࡣ㸪FFT࡟ࡼࡾᚓࡽࢀࡓࣃ࣮࣡ࢫ࣌ࢡࢺ࡛ࣝ᣺ᖜࡀ᭱ࡶ

኱ࡁࡃ࡞ࡿ࿘Ἴᩘ㸦௨ୗ㸪༟㉺࿘Ἴᩘ࡜࠸࠺㸧ࢆồࡵࢀࡤ㸪ࡇࡢ㏫ᩘ࠿ࡽࢥࣥ

ࢡ࣮ࣜࢺෆ㒊ࢆከ㔜཯ᑕࡍࡿ⦪ᙎᛶἼࡢ ᚟᫬㛫ࡀồࡵࡽࢀࡿ࡜ࡋ࡚࠸ࡿࠋࢥ

ࣥࢡ࣮ࣜࢺෆ㒊ࡀ೺඲࡞ሙྜ࡛ࡣ㸪ࢥࣥࢡ࣮ࣜࢺ⫼㠃࡛ࡢ཯ᑕ࡟ࡼࡿ ᚟᫬㛫

(12)

ࡀồࡲࡿࡢ࡟ᑐࡋ࡚㸪ෆ㒊࡟✵㝽ࡀᏑᅾࡍࡿሙྜ࡛ࡣ㸪ࡇࡢ✵㝽఩⨨࡛ࡢ཯ᑕ

࡟ࡼࡿ ᚟᫬㛫ࡀồࡲࡿࡇ࡜࠿ࡽ㸪FFT࡟ࡼࡾ㸪ࢥࣥࢡ࣮ࣜࢺෆ㒊ࡢḞ㝗᥈ᰝ

ࡸ㸪ࢥࣥࢡ࣮ࣜࢺࡢ㒊ᮦཌࡉࡢ ᐃࡀྍ⬟࡛࠶ࡿ࡜ࡉࢀ࡚࠸ࡿࠋ୍᪉㸪ᵻᒣࡽ

࡟ࡼࡿཧ⪃ᩥ⊩1.16)࡛ࡣ㸪࢖ࣥࣃࢡࢺ࢚ࢥ࣮ἲ࡛ࡣ࡞ࡃ㸪࢜ࣛࣥࢲᛂ⏝⛉Ꮫ◊

✲ᡤ࡛㛤Ⓨࡉࢀࡓ⾪ᧁᙎᛶἼἲ㸦CTMἲ㸧࡟ࡼࡿࢺࣥࢿࣝそᕤ⫼㠃ࡢ✵㝽᥈ᰝ

ࢆ┠ⓗ࡜ࡋࡓ◊✲ࡀࡉࢀ࡚࠸ࡿࠋࡇࡢ◊✲࡛ࡣ㸪ࢥࣥࢡ࣮ࣜࢺෆ㒊ࢆከ㔜཯ᑕ ࡍࡿ⦪ᙎᛶἼࡢ ᚟᫬㛫ࢆ㸪࢖ࣥࣃࢡࢺ࢚ࢥ࣮ἲ࡜ྠᵝ࡟FFT࡟ࡼࡾᚓࡽࢀࡓ

ࣃ࣮࣡ࢫ࣌ࢡࢺࣝ࠿ࡽ ᐃࡋ࡚㸪✵㝽ࡢ᭷↓ࢆุᐃࡍࡿ᪉ἲ࡟ࡘ࠸᳨࡚ウࡀࡉ

ࢀ࡚࠸ࡿࠋ

௨ୖࡢ࡜࠾ࡾ㸪⾪ᧁᙎᛶἼἲࡢ୺࡞ ᐃ㡯┠࡛࠶ࡿࢥࣥࢡ࣮ࣜࢺෆ㒊ࢆከ㔜

཯ᑕࡍࡿ⦪ᙎᛶἼࡢ ᚟᫬㛫ࡢ ᐃ࡟ࡘ࠸࡚㸪᪤ ࡢ◊✲࡛ࡣ࢖ࣥࣃࢡࢺ࢚ࢥ

࣮ἲࢆ୰ᚰ࡟㸪FFT࡟ࡼࡾᚓࡽࢀࡓࣃ࣮࣡ࢫ࣌ࢡࢺࣝ࠿ࡽ ᐃࡍࡿ᪉ἲࡀ᳨ウ ࡉࢀ࡚ࡁࡓࠋࡋ࠿ࡋ࡞ࡀࡽ㸪ࡇࢀࡽࡢ᪉ἲ࡛ࡣ㸪ḟࡢ2Ⅼࡢㄢ㢟ࡀ࠶ࡿ࡜⪃࠼ࡽ

ࢀࡿࠋ➨୍࡟㸪ᐇ㝿࡟FFTࢆ㐺⏝ࡍࡿ࡜㸪ཧ⪃ᩥ⊩1.13)࡛ᣦ᦬ࡉࢀ࡚࠸ࡿ࡜࠾

ࡾ㸪ࣃ࣮࣡ࢫ࣌ࢡࢺ࡛ࣝࡣ」ᩘࡢ࿘Ἴᩘ࡟࠾࠸࡚᣺ᖜ್ࡀᴟ኱್࡜࡞ࡾ㸪ෆ㒊 Ḟ㝗ࡢ᭷↓ࡸ఩⨨ࡢุ᩿ࡀᅔ㞴࡜࡞ࡿࠋࡘࡲࡾ㸪FFT࡟ࡼࡿࣃ࣮࣡ࢫ࣌ࢡࢺࣝ

࠿ࡽᐈほⓗ࡟⦪ᙎᛶἼࡢ ᚟᫬㛫ࢆ ᐃࡍࡿ᪉ἲࢆ☜❧ࡍࡿࡇ࡜ࡀㄢ㢟࡛࠶ࡿࠋ

➨஧࡟㸪᪤ ࡢ◊✲࡛ࡣ㸪ᐇ㝿ࡢᅵᮌᵓ㐀≀࡛⏝࠸ࡽࢀ࡚࠸ࡿཌࡉ2000mm௨

ୖࡢࢥࣥࢡ࣮ࣜࢺ࡛㐺⏝ࡉࢀࡓ஦౛ࡀ⤂௓ࡉࢀ࡚࠸࡞࠸ࠋ⾪ᧁᙎᛶἼἲࡣᅗ

࡟♧ࡉࢀ࡚࠸ࡿ࡜࠾ࡾ㸪ᩘm⛬ᗘࡢࢥࣥࢡ࣮ࣜࢺ࡟㐺⏝࡛ࡁࡿࡇ࡜ࡀ≉㛗࡛࠶

ࡿࡀ㸪ࡇࢀࢆ᳨ドࡍࡿࡇ࡜ࡀㄢ㢟࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿࠋ

0 0.5 1 1.5 2

᣺ᖜ(A.U.)

᫬้(ms)

D ᐃ᣺ື

0 5 10 15 20 25 30

᣺ᖜ(A.U.) fmax=6.91kHz

࿘Ἴᩘ(kHz)

E))7࡟ࡼࡾᚓࡽࢀࡿࣃ࣮࣡ࢫ࣌ࢡࢺࣝ

ᅗ࢖ࣥࣃࢡࢺ࢚ࢥ࣮ἲ࡟ࡼࡿ ᐃ౛

(13)

ࡲࡓ㸪⾪ᧁᙎᛶἼἲࡢ୺࡞ ᐃ㡯┠࡟ࡣ㸪๓㏙ࡢ⦪ᙎᛶἼࡢ ᚟᫬㛫ࡢ ᐃ ௨እ࡟ࡶ㸪⦪ᙎᛶἼࡀධຊⅬ࡜ཷಙⅬࡢ㛫ࢆఏᦙࡍࡿ᫬㛫ᕪ㸦௨ୗ㸪ఏᦙ᫬㛫 ᕪ࡜࠸࠺㸧ࡢ ᐃࡀ࠶ࡿࠋ࢖ࣥࣃࢡࢺ࢚ࢥ࣮ἲ࡛ࡣཧ⪃ᩥ⊩1.11)࡛ࡇࡢ ᐃ᪉ ἲࡀ᳨ウࡉࢀ࡚࠸ࡿࠋఏᦙ᫬㛫ᕪࢆ ᐃࡋ࡚⦪ᙎᛶἼ㏿ᗘࢆỴᐃ࡛ࡁࢀࡤ㸪๓

㏙ࡢ⦪ᙎᛶἼࡢ ᚟᫬㛫ࡢ ᐃ⤖ᯝ࠿ࡽࢥࣥࢡ࣮ࣜࢺࡢ㒊ᮦཌࡉࡸෆ㒊Ḟ㝗ࡲ

࡛ࡢ῝ࡉࢆホ౯ࡍࡿࡇ࡜ࡀྍ⬟࡜࡞ࡿࠋࡋ࠿ࡋ࡞ࡀࡽ㸪᪤ ࡢ◊✲࡛ࡣ㸪ఏᦙ

᫬㛫ᕪࡢ ᐃ⤖ᯝࢆ฼⏝ࡋࡓࡑࡢ௚ࡢホ౯᪉ἲ࡟ࡘ࠸࡚ヲ⣽࡟᳨ウࡀࡉࢀ࡚࠸

࡞࠸࡜࠸࠺ㄢ㢟ࡀ࠶ࡿࠋ ᐃࡉࢀࡿఏᦙ᫬㛫ᕪ࡟ࡣ㸪ධຊⅬ࡜ཷಙⅬࡢ㛫ࡢࢥ

ࣥࢡ࣮ࣜࢺ࡟Ḟ㝗ࡀᏑᅾࡍࢀࡤ㸪⦪ᙎᛶἼࡢఏᦙ⤒㊰ࡸఏᦙ㏿ᗘࡣኚ໬ࡋ࡚㸪 ᐃࡉࢀࡿఏᦙ᫬㛫ᕪࡀኚ໬ࡍࡿᛶ㉁ࡀ࠶ࡿࠋࡲࡓ㸪ࢥࣥࢡ࣮ࣜࢺࡢᙎᛶಀᩘ

࡟ࡼࡗ࡚⦪ᙎᛶἼ㏿ᗘࡣኚ໬ࡍࡿࡇ࡜࠿ࡽ ᐃࡉࢀࡿఏᦙ᫬㛫ᕪࡀኚ໬ࡍࡿᛶ

㉁ࡀ࠶ࡿࠋࡘࡲࡾ㸪ࡇࢀࡽࡢᛶ㉁࠿ࡽ㸪 ᐃࡋࡓఏᦙ᫬㛫ᕪࡑࡢࡶࡢ࠿ࡽࢥࣥ

ࢡ࣮ࣜࢺࡢෆ㒊Ḟ㝗ホ౯ࡸࢥࣥࢡ࣮ࣜࢺࡢᅽ⦰ᙉᗘࡢホ౯࡞࡝㸪᪂タ᫬ࡢ᳨ᰝ

ࡸ᪋ᕤ⟶⌮㸪᪤タᵓ㐀≀࡛ࡢⅬ᳨࡛ࡢከࡃࡢホ౯࡟฼⏝࡛ࡁࡿ࡜⪃࠼ࡽ࠼ࡿࠋ ࡇࢀࡽࡢホ౯᪉ἲࢆヲ⣽࡟᳨ウࡋ㸪ホ౯᪉ἲࢆ☜❧ࡍࡿࡇ࡜ࡸ㐺⏝᮲௳ࢆ᫂☜

࡟ࡍࡿࡇ࡜ࡀㄢ㢟࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿࠋ

1.4 ㄽᩥࡢᵓᡂ࡜ෆᐜ

ᮏㄽᩥࡢᵓᡂࢆᅗ ࡟♧ࡍࠋ➨ 1 ❶ࡣᗎㄽ࡛࠶ࡾ㸪ᮏ◊✲ࡢ⫼ᬒ㸪ᮏ◊✲

ࡢ┠ⓗ㸪᪤ ࡢ◊✲㸪࠾ࡼࡧㄽᩥࡢᵓᡂࢆ♧ࡋࡓࠋ

➨2❶࡜➨3❶࡛ࡣ㸪⾪ᧁᙎᛶἼἲ࡟ࡼࡿྛホ౯࡟฼⏝࡛ࡁࡿ ᐃ್࡟ࡘ࠸࡚㸪

ࡼࡾከࡃࡢࢥࣥࢡ࣮ࣜࢺᵓ㐀≀࡟㐺⏝࡛ࡁࡿ ᐃ᪉ἲࢆ᳨ウࡋࡓ⤖ᯝࢆ♧ࡋࡓࠋ ➨2❶࡛ࡣ㸪⦪ᙎᛶἼࡀࢥࣥࢡ࣮ࣜࢺෆ㒊ࢆ⧞ࡾ㏉ࡋ཯ᑕࡍࡿࡇ࡜࡟ࡼࡾ㸪ࢥ

ࣥࢡ࣮ࣜࢺ࡟⏕ᡂࡉࢀࡿ࿘Ἴᩘ㸦௨ୗ㸪ᇶᮏ࿘Ἴᩘ࡜࠸࠺㸧ࡢ ᐃ᪉ἲࢆ᳨ウ ࡋࡓ⤖ᯝࢆ♧ࡋࡓࠋᇶᮏ࿘Ἴᩘࡣࢥࣥࢡ࣮ࣜࢺࡢ㒊ᮦᙧ≧࡜ࡑࡢ≀ᛶ࡟ࡼࡾỴ

ࡲࡿ್࡛࠶ࡾ㸪ࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢホ౯࡟ά⏝࡛ࡁࡿ ᐃ್࡜࡞ࡿࠋࡋ࠿ࡋ

࡞ࡀࡽ㸪⾪ᧁᙎᛶἼἲ࡟ࡼࡾࢥࣥࢡ࣮ࣜࢺ୰࡟Ⓨ⏕ࡍࡿᙎᛶἼ࡟ࡣ㸪⦪ᙎᛶἼ ௨እ࡟ࣞ࢖࣮ࣜἼ࡞࡝ࡀ࠶ࡾ㸪ࡉࡽ࡟㸪ࣞ࢖࣮ࣜἼࡣ⦪ᙎᛶἼࡼࡾࡶ࢚ࢿࣝࢠ

࣮ࡀ኱ࡁ࠸ࡇ࡜࠿ࡽ㸪 ᐃࡋࡓ᣺ື࠿ࡽᇶᮏ࿘Ἴᩘࢆᐜ᫆࡟ ᐃ࡛ࡁ࡞࠸ࠋࡇ ࡢㄢ㢟࡟ᑐࡋ࡚㸪㒊ᮦཌࡉ2500mmࡲ࡛ࡢࢥࣥࢡ࣮ࣜࢺ࡟㐺⏝࡛ࡁࡿ ᐃ᪉ἲ

ࢆ᳨ウࡋࡓ⤖ᯝࢆ♧ࡋࡓࠋ

➨3❶࡛ࡣ㸪ࢥࣥࢡ࣮ࣜࢺ୰ࢆఏᦙࡍࡿ⦪ᙎᛶἼࡢఏᦙ᫬㛫ࢆ฼⏝ࡋࡓ⦪ᙎᛶ Ἴ㏿ᗘࡢ ᐃ᪉ἲࢆ᳨ウࡋࡓ⤖ᯝࢆ♧ࡋࡓࠋ⦪ᙎᛶἼࡢఏᦙ᫬㛫ࡣ㸪ࢥࣥࢡࣜ

(14)

࣮ࢺࡢᙎᛶಀᩘࡸḞ㝗ࡢ᭷↓࡟ࡼࡗ࡚ኚ໬ࡍࡿࠋࡇࢀ࡟ࡼࡾ㸪 ᐃࡉࢀࡿ⦪ᙎ ᛶἼ㏿ᗘࡶ㸪ࢥࣥࢡ࣮ࣜࢺࡢᙎᛶಀᩘࡸḞ㝗ࡢ᭷↓࡟ࡼࡗ࡚ኚ໬ࡍࡿࡇ࡜࡜࡞

ࡾ㸪⦪ᙎᛶἼ㏿ᗘࡣࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢホ౯࡟ά⏝࡛ࡁࡿ ᐃ್࡜࡞ࡿࠋࡋ

࠿ࡋ࡞ࡀࡽ㸪ࢥࣥࢡ࣮ࣜࢺෆ㒊ࡢ㕲➽ࡸࢥࣥࢡ࣮ࣜࢺ⾲㠃ࡢ஝⇱≧ែࡢᙳ㡪࡟

ࡼࡾṇ☜࡞ఏᦙ᫬㛫ᕪࢆ ᐃ࡛ࡁ࡞࠸ሙྜࡀ࠶ࡿࠋࡇࡢㄢ㢟࡟ᑐࡋ࡚㸪ࡇࢀࡽ

ࡢᙳ㡪ࢆ㝖ཤࡋࡓ ᐃ᪉ἲࢆ᳨ウࡋࡓ⤖ᯝࢆ♧ࡋࡓࠋ

➨4❶࡜➨5❶࡛ࡣ㸪➨2❶࡜➨3❶࡛ࡢ ᐃ್ࢆ฼⏝ࡋࡓࢥࣥࢡ࣮ࣜࢺᵓ㐀≀

࡛ࡢホ౯᪉ἲࢆ᳨ウࡋࡓ⤖ᯝࢆ♧ࡋࡓࠋ

➨4❶࡛ࡣ㸪᪂タᵓ㐀≀࡛ࡢ᪋ᕤ⟶⌮࡟฼⏝࡛ࡁࡿ2ࡘࡢホ౯᪉ἲࢆ᳨ウࡋࡓ

⤖ᯝࢆ♧ࡋࡓࠋඛࡎ㸪ᅽ⦰ᙉᗘࡢホ౯᪉ἲࢆ᳨ウࡋࡓ⤖ᯝࢆ♧ࡋࡓࠋᅽ⦰ᙉᗘ ࡣࢥࣥࢡ࣮ࣜࢺࡢရ㉁ࢆ♧ࡍ௦⾲್࡛࠶ࡿࠋࡇࢀࢆᮏἲ࡟ࡼࡾ㸪ࢥࣥࢡ࣮ࣜࢺ ᵓ㐀≀࡛┤᥋㸪࠶ࡿ⛬ᗘࡢ⢭ᗘ࡛ヨ㦂ࡍࡿ᪉ἲ࡟ࡘ࠸࡚㸪ᐇᵓ㐀≀࡛ࡢᐇ㦂ࢆ

࣭᪤タࢥࣥࢡ࣮ࣜࢺࡢᅽ⦰ᙉᗘホ౯᪉ἲࡢ᳨ウ

࠙➨3❶ࠚ⦪ᙎᛶἼ㏿ᗘࡢ ᐃ᪉ἲࡢ᳨ウ

࠙➨6❶ࠚ⥲ᣓ

࠙➨5❶ࠚࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢⅬ᳨デ᩿࡬ࡢ㐺⏝࡟㛵ࡍࡿ᳨ウ

࣭᪂タࢥࣥࢡ࣮ࣜࢺࡢᅽ⦰ᙉᗘホ౯᪉ἲࡢ᳨ウ

࣭᪂タࢥࣥࢡ࣮ࣜࢺࡢ⾲ᒙ௜㏆ࡢရ㉁ホ౯᪉ἲࡢ᳨ウ

࣭ከ㔜཯ᑕἲ࡟ࡼࡿࢥࣥࢡ࣮ࣜࢺෆ㒊Ḟ㝗ホ౯᪉ἲࡢ᳨ウ

࣭ఏᦙ᫬㛫ᕪἲ࡟ࡼࡿࢥࣥࢡ࣮ࣜࢺෆ㒊Ḟ㝗ホ౯᪉ἲࡢ᳨ウ ࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢရ㉁⟶⌮࠾ࡼࡧⅬ᳨࣭デ᩿࡬ࡢ

⾪ᧁᙎᛶἼἲࡢ㐺⏝࡟㛵ࡍࡿ◊✲

ホ౯᪉ἲ

࠙➨4❶ࠚࢥࣥࢡ࣮ࣜࢺᵓ㐀≀ࡢရ㉁⟶⌮࡬ࡢ㐺⏝࡟㛵ࡍࡿ᳨ウ ᐃ᪉ἲ

࠙➨2❶ࠚከ㔜཯ᑕἲ࡟ࡼࡿᇶᮏ࿘Ἴᩘࡢ ᐃ᪉ἲࡢ᳨ウ

ᅗㄽᩥࡢᵓᡂ

(15)

ྵࡵ᳨࡚ウࡋࡓࠋḟ࡟㸪⾲ᒙ௜㏆ࡢရ㉁ホ౯᪉ἲ࡟ࡘ࠸᳨࡚ウࡋࡓ⤖ᯝࢆ♧ࡋ ࡓࠋࢥࣥࢡ࣮ࣜࢺࡣ⾲㠃࠿ࡽຎ໬ᅉᏊࡀ౵ධࡋ࡚ຎ໬ࡍࡿᛶ㉁ࡀ࠶ࡾ㸪᪂タ᫬

ࡢ⾲ᒙ௜㏆ࡢရ㉁ࡣ⪏ஂᛶ⬟࡟ᙳ㡪ࡍࡿရ㉁࡜࡞ࡿࠋ㏆ᖺࡣ㸪ᵓ㐀≀ࡢ㛗ᑑ࿨

໬ࡀồࡵࡽࢀ࡚࠸ࡿࡇ࡜࡞࡝࠿ࡽ㸪ࢥࣥࢡ࣮ࣜࢺࡢ⾲ᒙ௜㏆ࡢရ㉁ࢆྥୖࡉࡏ

ࡿ᪋ᕤࡀᐇ᪋ࡉࢀ࡚࠸ࡿࠋࡇࢀࢆ㠀◚ቯヨ㦂࡟ࡼࡾ☜ㄆࡍࡿࡇ࡜ࡣ᭷ຠ࡛࠶ࡿ

࡜⪃࠼㸪ࡑࡢホ౯᪉ἲࢆ᳨ウࡋࡓࠋ࡞࠾㸪ࡇࡇ࡛ᑐ㇟࡜ࡋ࡚࠸ࡿࢥࣥࢡ࣮ࣜࢺ ࡢ⾲ᒙ௜㏆ࡢရ㉁࡜ࡣ㸪஧㓟໬Ⅳ⣲ࡢ౵ධ࡟క࠺୰ᛶ໬࡟ᑐࡍࡿ᢬ᢠᛶࡸሷ໬

≀࢖࢜ࣥࡢᾐ㏱᢬ᢠᛶ࡞࡝ࡢ㕲➽⭉㣗࠿ࡽಖㆤࡍࡿᛶ⬟㸪ࡲࡓࡣ㸪ࢥࣥࢡ࣮ࣜ

ࢺෆ㒊ࡢỈศࡢ෾⤖⼥ゎ᢬ᢠᛶ㸪ࡘࡲࡾ㸪෾ᐖ࡟ᑐࡍࡿ᢬ᢠᛶ࡞࡝㕲➽ࢥࣥࢡ

࣮ࣜࢺᵓ㐀≀ࡢ⪏ஂᛶ⬟࡟㛵ࡍࡿရ㉁࡛࠶ࡿࠋ

➨5❶࡛ࡣ㸪᪤タᵓ㐀≀ࡢⅬ᳨ࡸデ᩿࡟฼⏝࡛ࡁࡿヨ㦂᪉ἲ࡜ࡋ࡚㸪ࢥࣥࢡࣜ

࣮ࢺෆ㒊ࡢḞ㝗ホ౯᪉ἲ㸪ᅽ⦰ᙉᗘࡢホ౯᪉ἲࢆ᳨ウࡋࡓ⤖ᯝࢆ♧ࡋࡓࠋࡇࢀ

ࡽࡣ᪤タᵓ㐀≀ࡢ⥔ᣢ⟶⌮࡟࠾ࡅࡿ⿵ಟࡸ⿵ᙉࡢせྰࡢุ᩿㸪⠊ᅖࡢุ᩿㸪ᕤ ἲࡢุ᩿࡞࡝࡟࠾࠸࡚᭷ຠ࡞᝟ሗ࡟࡞ࡿࠋࡇࢀࡽࢆᮏἲ࡟ࡼࡾ㸪࠶ࡿ⛬ᗘࡢ⢭

ᗘ࡛ホ౯ࡍࡿ᪉ἲ࡟ࡘ࠸᳨࡚ウࡋࡓ⤖ᯝࢆ♧ࡋࡓࠋ

➨ 6 ❶࡛ࡣ㸪ྛ❶࡛ࡢ᳨ウ⤖ᯝ࠿ࡽ㸪ᮏἲࡢ㐺⏝᮲௳ࡸ␃ពⅬࢆࡲ࡜ࡵ㸪ࡉ

ࡽ࡟ᮏἲࡢ≉㛗࡜ᙺ๭࡟ࡘ࠸࡚ࡲ࡜ࡵ㸪ࡇࢀࡽࢆᮏ◊✲ࡢ⤖ㄽ࡜ࡋࡓࠋ

➨ 1❶ࡢཧ⪃ᩥ⊩

1.1) ᅜᅵ஺㏻┬㸸ᅜᅵ஺㏻ⓑ᭩ 2012 ᖹᡂ 23ᖺᗘᖺḟሗ࿌㸪pp.99㸪2012.

1.2) ᅵᮌᏛ఍ࢥࣥࢡ࣮ࣜࢺጤဨ఍㸸ᵓ㐀≀⾲ᒙࡢࢥࣥࢡ࣮ࣜࢺရ㉁࡜⪏ஂᛶ⬟

᳨ドࢩࢫࢸ࣒◊✲ᑠጤဨ఍㸦335 ጤဨ఍㸧ᡂᯝሗ࿌᭩࠾ࡼࡧࢩ࣏ࣥࢪ࣒࢘

ㅮ₇ᴫせ㞟㸪ࢥࣥࢡ࣮ࣜࢺᢏ⾡ࢩ࣮ࣜࢬ No.80㸪pp.1-9㸪2008.

1.3) 㐨㊰ᶫࡢண㜵ಖ඲࡟ྥࡅࡓᥦゝ㸪ᅜᅵ஺㏻┬ HP

http://www.mlit.go.jp/road/sisaku/yobohozen/yobohozen.html㸪2010.

1.4) ᅵᮌᕤ஦᪋ᕤ⟶⌮ᇶ‽ཬࡧつ᱁್㸦᱌㸧㸪ᅜᅵ஺㏻┬ HP

http://www.mlit.go.jp/tec/sekisan/sekou/pdf/250329kouji_sekoukanrikijun01.pdf㸪 pp.1-4㸪2013.

1.5) ᅵᮌᏛ఍㸸2013 ᖺไᐃࢥࣥࢡ࣮ࣜࢺᶆ‽♧᪉᭩ࠝ⥔ᣢ⟶⌮⦅ࠞ㸪pp.29-51㸪 2013.

1.6) ASTM-C1383-04: Standard Test Method for Measuring the P-Wave Speed and the Thickness of Concrete Plates Using the Impact-Echo Method, 2004.

1.7) ෆ⏣ៅဢ㸸ᙎᛶἼἲ࡟ࡼࡿࢥࣥࢡ࣮ࣜࢺࡢ≀ᛶ࠾ࡼࡧḞ㝗ࡢ㠀◚ቯホ౯㸪

(16)

኱㜰኱ᏛᏛ఩ㄽᩥ㸪2008.

1.8) ᪥ᮏ㠀◚ቯ᳨ᰝ༠఍㸸᪂ࢥࣥࢡ࣮ࣜࢺࡢ㠀◚ቯヨ㦂㸪pp.67-84㸪2010.

1.9) Nicholas J.Carino㸪Mary Sansalone㸪Nelson N.Hsu㸸A Point Source-Point Receiver, Pulse-Echo Technique for Flaw Detection in Concrete㸪ACI JOURNAL㸪 March-April 1986㸪pp.199-208㸪1986.

1.10) C.Cheng㸪M.Sansalone㸸The impact-echo response of concrete plates containing delaminations : numerical, experimental and field studies㸪Materials and Structures㸪pp.274-285㸪1993.

1.11) Mary Sansalone㸪Jiunn-Ming Lin㸪William B.Streett㸸A Procedure for Determining P-Wave Speed in Concrete for Use in Impact-Echo Testing Using a P-Wave Speed Measurement Technique㸪ACI MATERIALS JOURNAL㸪 November-December 1997㸪pp.531-539㸪1997.

1.12) Ώ㎶೺㸪኱ὠᨻᗣ㸪཭⏣♸୍㸸PCࢢࣛ࢘ࢺ඘࡚ࢇᗘホ౯ࡢ࢖ࣥࣃࢡࢺ࢚

ࢥ࣮ἲ࡟㛵ࡍࡿἼືㄽⓗ⪃ᐹ㸪ࢥࣥࢡ࣮ࣜࢺᕤᏛᖺḟㄽᩥሗ࿌㞟㸪Vol.20㸪 No.1㸪pp.293-298㸪1998.

1.13) Ώ㎶೺㸪Ώᾏ㞞ಙ㸪ᑠᆏᾈ஧㸪኱ὠᨻᗣ㸸࢖ࣥࣃࢡࢺ࢚ࢥ࣮ἲࡢ⏬ീฎ

⌮ ࡟ 㛵 ࡍ ࡿ ◊ ✲ 㸪 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ᕤ Ꮫ ᖺ ḟ ㄽ ᩥ ሗ ࿌ 㞟㸪Vol.22㸪No.1㸪 pp.391-396㸪2000.

1.14) ᪥ᮏࢥࣥࢡ࣮ࣜࢺᕤᏛ఍㸸ࢥࣥࢡ࣮ࣜࢺデ᩿ᢏ⾡'12ࠝᇶ♏⦅ࠞ㸪pp.114㸪 2012.

1.15) ᪥ᮏࢥࣥࢡ࣮ࣜࢺᕤᏛ༠఍㸸ࢥࣥࢡ࣮ࣜࢺࡢࡦࡧ๭ࢀㄪᰝ㸪⿵ಟ࣭⿵ᙉ

ᣦ㔪̿2013̿㸪pp.21-27㸪2013.

1.16) ᵻᒣዲᖾ㸪⇃㔝㈼஧㸪ᐑᕝ㇏❶㸪㔝ᮧ຾⩏㸸཯ᑕἼἲࢆ⏝࠸ࡓ㠀◚ቯヨ

㦂ࡢࢥࣥࢡ࣮ࣜࢺᵓ㐀≀✵㝽ㄪᰝ࡬ࡢ㐺⏝ᛶ࡟㛵ࡍࡿ◊✲㸪ᅵᮌᏛ఍ㄽᩥ

㞟㸪No.665/-49㸪pp.31-44㸪2000.

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➨ 2 ❶ ከ 㔜 ཯ ᑕ ἲ ࡟ ࡼ ࡿ ᇶ ᮏ ࿘ Ἴ ᩘ ࡢ ᐃ ᪉ ἲ ࡢ ᳨ ウ

2 . 1 ᴫ ㄝ

ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ⾲㠃 ࡟ 㗰 ⌫ ᡴ ᧁ ➼ ࡟ ࡼ ࡾ ⾪ ᧁ ࢆ ୚ ࠼ ࡓ ࡜ ࡁ ࡟ Ⓨ ⏕ ࡍ ࡿ ᙎ ᛶ Ἴ ࡢ ᶍ ᘧ ᅗ ࢆᅗ ࡟ ♧ ࡍ ࠋ ⦪ ᙎ ᛶ Ἴ 㸪 ᶓ ᙎ ᛶ Ἴ 㸪 ࣞ ࢖ ࣜ ࣮ Ἴ ࡞

࡝ ࡢ ᙎ ᛶ Ἴ ࡀ ྠ ᫬ ࡟ Ⓨ ⏕ ࡍ ࡿ ࡀ 㸪 ࡇ ࡢ ࠺ ࡕ ⦪ ᙎ ᛶ Ἴ ࡟ ࡣ 㸪 ᙎ ᛶ Ἴ ࡢ ධ ຊ Ⅼ ࠿ ࡽ ෆ 㒊 ࡟ ఏ ᦙ ࡋ ࡚ 㸪 ධ ຊ 㠃 ࡜ ᗏ 㠃 ࡞ ࡝ ࡢ ཯ ᑕ 㠃㛫 ࡛ ཯ ᑕ ࡍ ࡿ ᡂ ศ 㸦 ௨ ୗ 㸪 ཯ ᑕ Ἴ ࡜ ࠸ ࠺ 㸧 ࡀ Ꮡ ᅾ ࡍ ࡿ ࠋ ࡉ ࡽ ࡟ ࡇ ࡢ ཯ ᑕ Ἴ ࡟ ࡣ 㸪 ࡑ ࡢ ᚋ 㸪 ධ ຊ 㠃 ࡜ ཯ ᑕ 㠃㛫 ࡛ ⧞ ࡾ ㏉ ࡋ ཯ ᑕ 㸦 ௨ ୗ 㸪 ከ 㔜 ཯ ᑕ ࡜ ࠸ ࠺ 㸧 ࡍ ࡿ ᛶ ㉁ ࡀ ࠶ ࡿ ࠋ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡟ ࡣ ࡇ ࡢ ከ 㔜 ཯ ᑕ ࡟ ࡼ ࡾ 㸪 ཯ ᑕ Ἴ ࡢ   ᚟ ᫬ 㛫 ࢆ ࿘ ᮇ ࡜ ࡍ ࡿ ᣺ ື ࡀ ⏕ ᡂ ࡉ ࢀ ࡿ ࡇ ࡜ ࡜ ࡞ ࡿ ࠋ

⾪ ᧁ ᙎ ᛶ Ἴ ἲ ࡢ ᐃ ᪉ ἲ ࡢ ୍ ࡘ ࡟ ከ 㔜 ཯ ᑕ ἲ2 . 1 ) , 2 . 2 )ࡀ ࠶ ࡿ ࠋ ከ 㔜

཯ ᑕ ἲ ࡜ ࡣ 㸪 ධ ຊ 㠃 ࡜ ྠ ୍ 㠃 ࡟ ཷ ಙ Ⅼ ࢆ タ ᐃ ࡋ 㸪 ᐃ ࡋ ࡓ ᣺ ື 㸦 ௨ ୗ 㸪 ᐃ ᣺ ື ࡜ ࠸ ࠺ 㸧 ࡢ ࿘ Ἴ ᩘ ゎ ᯒ ࡟ ࡼ ࡾ 㸪 ከ 㔜 ཯ ᑕ ࡟ ࡼ ࡾ ⏕ ᡂ ࡉ ࢀ ࡿ ᣺

ື ࡢ ࿘ Ἴ ᩘ 㸦 ௨ ୗ 㸪 ᇶ ᮏ ࿘ Ἴ ᩘ ࡜ ࠸ ࠺ 㸧 ࢆ ᐃ ࡍ ࡿ ᪉ ἲ ࡛ ࠶ ࡿ ࠋ ࡇ ࡇ

࡛ 㸪 ᇶ ᮏ ࿘ Ἴ ᩘ ࡣ 㸪 ཯ ᑕ Ἴ ࡢ   ᚟ ᫬ 㛫 ࡢ ㏫ ᩘ ࡛ ࠶ ࡿ ࡇ ࡜ ࠿ ࡽ 㸪 ධ ຊ 㠃

࠿ ࡽ ཯ ᑕ 㠃 ࡲ ࡛ ࡢ ㊥㞳 ࡜ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ୰ ࢆ ఏ ᦙ ࡍ ࡿ ⦪ ᙎ ᛶ Ἴ ㏿ ᗘ ࡟ ࡼ

ࡾ ୍ ⩏ ⓗ ࡟ Ỵ ᐃ ࡉ ࢀ ࡿ ⌮ ㄽ ್ ࡛ ࠶ ࡿ ࠋ ࡍ ࡞ ࢃ ࡕ 㸪 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡢ 㒊 ᮦ ᙧ ≧ ࡜ ࡑ ࡢ ≀ ᛶ ࡟ ࡼ ࡾ Ỵ ࡲ ࡿ ್ ࡛ ࠶ ࡿ ࠋ ᚑ ࡗ ࡚ 㸪 ᇶ ᮏ ࿘ Ἴ ᩘ ࡣ ࢥ ࣥ ࢡ

ࣜ ࣮ ࢺ ෆ 㒊 ࡢ Ḟ 㝗 ࡢ ᭷ ↓ 㸪 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ෆ 㒊 ࡢ ᙎ ᛶ ಀ ᩘ ࡞ ࡝ ࡟ ࡼ ࡾ ኚ

໬ ࡍ ࡿ ࡓ ࡵ 㸪 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ᵓ 㐀 ≀ ࡢ 㠀 ◚ ቯ ヨ㦂 ࡟ ࡼ ࡿ ホ ౯ ࠾ ࠸ ࡚ 㸪 ᭷

ຠ ࡞ ᝟ ሗ 㸦ホ ౯ ᣦ ᶆ 㸧 ࡜ ࡞ ࡿ ࠋ ࡇ ࡢ ࡇ ࡜ ࠿ ࡽ 㸪 ከ 㔜 ཯ ᑕ ἲ ࡣ ᐇ ົ ࡢ ሙ 㠃 ࡟ ࠾ ࠸ ࡚ ᗈ ࡃ ฼ ⏝ ࡉ ࢀ 㸪 ࡇ ࡢ ᪉ ἲ ࡢ つ ᱁ ࡣ ᪥ ᮏ 㠀 ◚ ቯ ᳨ ᰝ ༠ ఍ つ ᱁

2 . 1 )ࡸS a n s a l o n eࡽ^{2 . 3 )}ࡢ ◊ ✲ ᡂ ᯝ ࡟ ᇶ ࡙ ࠸ ࡓA S T Mつ ᱁^{2 . 2 )}ࡀ ไ ᐃ ࡉ

ࢀ ࡚ ࠸ ࡿ ࠋ

⾪ ᧁ ᙎ ᛶ Ἴ ἲ ࡜ ྠ ᵝ ࡟ ཯ ᑕ Ἴ ࡢ ࿘ ᮇ ࢆ ᐃ ࡋ 㸪 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ෆ 㒊 ࡢ Ḟ 㝗ホ ౯ ࡞ ࡝ ࢆ ⾜ ࠺ 㠀 ◚ ቯ ヨ㦂 ᪉ ἲ ࡜ ࡋ ࡚ ࡣ ㉸㡢 Ἴ ἲ ࡀ ࠶ ࡿ^{2 . 4 )}ࠋ ࡇ

ධຊⅬ ཷಙⅬ

ࣞ࢖࣮ࣜἼ ຍ㏿ᗘィ

⦪ᙎᛶἼ ࢥࣥࢡ࣮ࣜࢺ

ᅗ 㗰 ⌫ ᡴ ᧁ ࡟ ࡼ ࡾ Ⓨ ⏕ ࡍ ᙎ ᛶ Ἴ ࡢ ᶍ ᘧ ᅗ

(18)

ࡢ ㉸㡢 Ἴ ἲ ࡜ ẚ ㍑ ࡋ ࡓ ሙ ྜ ࡢ ⾪ ᧁ ᙎ ᛶ Ἴ ἲ ࡢ ᭱ ኱ ࡢ 㛗 ᡤ ࡣ 㸪 ౑ ⏝ ࡍ ࡿ ᙎ ᛶ Ἴ ࡢ Ἴ 㛗 ࡀ 㛗 ࠸ ࡇ ࡜ ࠿ ࡽ 㒊 ᮦ ཌ ࡉ ࡢ ኱ ࡁ ࠸ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡟ ࡶ 㐺 ⏝

࡛ ࡁ ࡿ ࡇ ࡜ ࡛ ࠶ ࡿ ࠋ ᅵ ᮌ ᵓ 㐀 ≀ ࡟ ࡣ 㸪㒊 ᮦ ཌ ࡉ2 0 0 0 m m௨ ୖ ࡢ ࢥ ࣥ ࢡ

ࣜ ࣮ ࢺ ࡀ ከ ࡃ ࠶ ࡿ ࡀ 㸪⾪ ᧁ ᙎ ᛶ Ἴ ἲ ࡢ 㛗 ᡤ ࢆ ά ࠿ ࡍ ࡟ ࡣ 㸪 ࡇ ࡢ ᵝ ࡞ 㒊

ᮦ ཌ ࡉ ࡢ ኱ ࡁ ࠸ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡟ 㐺 ⏝ ྍ ⬟ ࡞ ᐃ 㸪ゎ ᯒ ᪉ ἲ ࢆ ☜ ❧ ࡍ ࡿ ࡇ ࡜ ࡀ ᭷ ຠ ࡟ ࡞ ࡿ ࡜ ⪃ ࠼ ࡽ ࢀ ࡿ ࠋ

ࡋ ࠿ ࡋ ࡞ ࡀ ࡽ 㸪 ᪤   ࡢ ◊ ✲ ࡛ ࡣ 㸪㒊 ᮦ ཌ ࡉ2 0 0 0 m m௨ ୖ ࡢ ࢥ ࣥ ࢡ ࣜ

࣮ ࢺ ࡛ ⾪ ᧁ ᙎ ᛶ Ἴ ἲ ࡢ ከ 㔜 ཯ ᑕ ἲ ࢆ 㐺 ⏝ ࡋ ࡓ ஦ ౛ ࡣ ⤂ ௓ ࡉ ࢀ ࡚ ࠸ ࡞ ࠸ ࠋ ࡑ ࡇ ࡛ ᮏ ❶ ࡛ ࡣ 㸪 ඛ ࡎ 㸪 ཌ ࡉ1 1 0 m m㹼2 4 0 0 m mࡢ ౪ ヨ య ࠾ ࡼ ࡧ ᐇ ᵓ 㐀

≀ ࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡛ 㸪 ཧ ⪃ ᩥ ⊩2 . 2 )ࡢ つ ᐃ ࡉ ࢀ ࡚ ࠸ ࡿ ᐃ ᪉ ἲ 㸪ゎ ᯒ ᪉ ἲ ࢆ 㐺 ⏝ ࡋ 㸪 ࡇ ࡢ ᪉ ἲ ࡛ ࡢ ㄗ ᕪ せ ᅉ ࡸ 㐺 ⏝ 㝈 ⏺ ࡟ ࡘ ࠸ ࡚ ᳨ ド ࡋ ࡓ ࠋ

⥆ ࠸ ࡚ 㸪 ࡇ ࡢ ㄗ ᕪ せ ᅉ ࡸ 㐺 ⏝ 㝈 ⏺ ࢆ ゎ ᾘ ࡍ ࡿ ᪂ ࡋ ࠸ ᐃ ᪉ ἲ 㸪ゎ ᯒ ᪉ ἲ ࢆ ౪ ヨ య ᐇ 㦂 ࠾ ࡼ ࡧ2ḟ ඖ ᙎ ᛶ య Ἴ ື ᪉ ⛬ ᘧ ࡟ ᇶ ࡙ ࡃ ᩘ ್ ゎ ᯒ ࡟ ࡼ

ࡾ ᳨ ウ ࡋ ࡓ ࠋ ࡉ ࡽ ࡟ 㸪 ㅖ ඖ ࡀ ☜ ㄆ ࡛ ࡁ ࡿ ヨ㦂 ᐊ ෆ ࠾ ࡼ ࡧ ᐇ ᵓ 㐀 ≀ ࡜ ࡋ

࡚ ౪ ⏝ ࡉ ࢀ ࡚ ࠸ ࡿ タィ ཌ ࡉ1 6 0 0 m m㸪2 5 0 0 m mࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࢆ ᑐ ㇟

࡜ ࡋ ࡚ 㸪 ᥦ ᱌ ࡋ ࡓ ᐃ ᪉ ἲ ࠾ ࡼ ࡧ ゎ ᯒ ᪉ ἲ ࡢ ጇ ᙜ ᛶ ࢆ ᳨ ド ࡋ ࡓ ࠋ

2 . 2 ከ 㔜 ཯ ᑕ ἲ ࡢ ᐃ ཎ ⌮

ከ 㔜 ཯ ᑕ ἲ ࡛ ࡢ ᐃ ᣺ ື ࡜ ࿘ Ἴ ᩘ ゎ ᯒ ⤖ ᯝ ࡢ ౛ ࢆᅗ ࡟ ♧ ࡍ ࠋᅗ ࡟ ♧ ࡋ ࡓ ࡜ ࠾ ࡾ 㸪 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ⾲㠃 ࢆ 㗰 ⌫ ࡛ ᡴ ᧁ ࡍ ࡿ ࡜ 㸪㗰 ⌫ ࡀ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ⾲㠃 ࡟ ㈏ ධ ࡋ 㸪 ࡉ ࡽ ࡟ 㸪 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ⾲㠃 ࡀ 㗰 ⌫ ࢆ ཯ Ⓨ ࡍ ࡿ ࡇ ࡜ ࡟ ࡼ ࡾ 㸪 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡟ ࡣ ᙎ ᛶ Ἴ ࡀ Ⓨ ⏕ ࡍ ࡿ ࠋ ຍ ㏿ ᗘ ィ ࡟ ࡣ

཯ ᑕ Ἴ ࡀ ཯ ᑕ ࡋ ࡚ ⾲㠃 ࡟ ฿ 㐩 ࡍ ࡿ ᗘ ࡟ ᣺ ື ࡀ ᐃ ࡉ ࢀ ࡿ ࡇ ࡜ ࠿ ࡽ 㸪 ᐃ ᣺ ື ࡟ ࡣ 㸪 ཯ ᑕ Ἴ ࡢ   ᚟ ᫬ 㛫 ࡜ ୍ ⮴ ࡍ ࡿ ࿘ ᮇ ᛶ ࡀ ⏕ ࡌ ࡿ ࡇ ࡜ ࡜ ࡞ ࡿ ࠋ ከ 㔜 ཯ ᑕ ἲ ࡛ ࡣ 㸪 ࡇ ࡢ ཎ ⌮ ࢆ ฼ ⏝ ࡋ ࡚ 㸪 ᐃ ᣺ ື ࡟ ᑐ ࡋ ࡚ ࿘ Ἴ ᩘ ゎ ᯒ

0 0.5 1 1.5 2

-1 -0.5 0 0.5 1

᣺ᖜ(A.U.)

᫬้(ms)

0 5 10 15 20 25 30

0 0.2 0.4 0.6 0.8 1

᣺ᖜ(A.U.) ༟㉺࿘Ἴᩘ䠖9.64kHz

࿘Ἴᩘ(kHz)

D ᐃ ᣺ ື E ࣃ ࣡ ࣮ ࢫ ࣌ ࢡ ࢺ ࣝ ᅗ ከ 㔜 ཯ ᑕ ἲ ࡛ ࡢ ᐃ ᣺ ື ࡜ ࣃ ࣡ ࣮ ࢫ ࣌ ࢡ ࢺ ࣝ ࡢ ౛

(19)

ࢆ ⾜ ࠸ 㸪 ᚓ ࡽ ࢀ ࡓ ࣃ ࣡ ࣮ ࢫ ࣌ ࢡ ࢺ ࣝ ࡛ ᣺ ᖜ ࡀ ᭱ ࡶ ኱ ࡁ ࡃ ࡞ ࡿ ࿘ Ἴ ᩘ 㸦 ௨ ୗ 㸪 ༟ ㉺ ࿘ Ἴ ᩘ ࡜ ࠸ ࠺ 㸧 ࠿ ࡽ ᇶ ᮏ ࿘ Ἴ ᩘ ࢆ Ỵ ᐃ ࡍ ࡿ ࠋ ࡞ ࠾ 㸪 ከ 㔜

཯ ᑕ ἲ ࡛ ࡢ ࿘ Ἴ ᩘ ゎ ᯒ ᪉ ἲ ࡜ ࡋ ࡚ ᭱ ࡶ ከ ࡃ ฼ ⏝ ࡉ ࢀ ࡚ ࠸ ࡿ ᪉ ἲ ࡣ 㸪 ཧ

⪃ ᩥ ⊩ 2 . 2 )࡛ つ ᐃ ࡉ ࢀ ࡚ ࠸ ࡿ ࡼ ࠺ ࡟ 㸪 ᐃ ᣺ ື ࡟ ᑐ ࡋ ࡚ 㧗㏿ ࣇ ࣮ ࣜ ࢚ ኚ ᥮ ࢆ ⾜ ࠺ ᪉ ἲ ࡛ ࠶ ࡿ ࡜ ࠸ ࠼ ࡿ ࠋ

2 . 3 ᐃ ᣺ ື ࡟ ᑐ ࡍ ࡿ ࣇ ࣮ ࣜ ࢚ ኚ ᥮ ࡛ ࡢ ㄗ ᕪ せ ᅉ ࡜ 㐺 ⏝ 㝈 ⏺ ࡢ ᳨ ウ

2 . 5 )

2 . 3 . 1 ᐇ 㦂 ᴫ せ

ᮏ ⠇ ࡢ ᐇ 㦂 ࡛ ࡣ 㸪 ཧ ⪃ ᩥ ⊩2 . 2 )࡛ つ ᐃ ࡉ ࢀ ࡚ ࠸ ࡿ ᐃ ᪉ ἲ ࡜ ゎ ᯒ ᪉ ἲ 㸦 ᐃ ᣺ ື ࡟ ᑐ ࡍ ࡿ ࣇ ࣮ ࣜ ࢚ ኚ ᥮ 㸧 ࢆ ᥇ ⏝ ࡋ 㸪ㄗ ᕪ せ ᅉ ࡜ 㐺 ⏝ ࡛ ࡁ

ࡿ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡢ 㒊 ᮦ ཌ ࡉ ࡢ ⠊ ᅖ ࢆ ᢕ ᥱ ࡍ ࡿ ࡇ ࡜ ࢆ ┠ ⓗ ࡜ ࡋ ࡓ ࠋ

๓ ⠇ ࡟ ♧ ࡋ ࡓ ࡜ ࠾ ࡾ 㸪 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ⾲㠃 ࢆ 㗰 ⌫ ࡛ ᡴ ᧁ ࡍ ࡿ ࡜ 㸪㗰 ⌫ ࡀ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡟ ㈏ ධ ࡋ 㸪 ࡉ ࡽ ࡟ 㸪 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡀ 㗰 ⌫ ࢆ ཯ Ⓨ ࡍ ࡿ ࡇ

࡜ ࡟ ࡼ ࡾ 㸪 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡟ ࡣ ᙎ ᛶ Ἴ ࡀ Ⓨ ⏕ ࡍ ࡿ ࠋ ࡇ ࡇ ࡛ 㸪㗰 ⌫ ࡀ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ⾲㠃 ࡟ ᥋ ゐ ࡋ ࡚ ㈏ ධ ࢆ 㛤 ጞ ࡋ ࡚ ࠿ ࡽ ཯ Ⓨ ࡋ ࡚ 㞳 ࢀ ࡿ ࡲ ࡛ ࡢ ᫬ 㛫㸦 ௨ ୗ 㸪 ᥋ ゐ ᫬ 㛫 ࡜ ࠸ ࠺ 㸧 ࡣ 㸪㗰 ⌫ ࡢ ┤ ᚄ ࡟ ࡼ ࡗ ࡚ ኚ ໬ ࡍ ࡿ ࡇ ࡜ ࡜

࡞ ࡿ ࠋ ࡇ ࡢ ᛶ ㉁ ࡣ ᘧ( 2 . 1 )࡛ ♧ ࡉ ࢀ ࡿ^{2 . 3 )}ࠋ 0.2

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s P

@

^0.4

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G G

U

V R

T_C A ( 2 . 1 )

ࡓ ࡔ ࡋ 㸪

¸¸¹

·

¨¨©

§

S S S

P P

P E

E

S S

2

2 1

1 ,

ࡇ ࡇ ࡟ 㸪TC㸸 ᥋ ゐ ᫬ 㛫㸪A㸸 ᐃ ᩘ 㸪V0㸸⾪ ✺ ㏿ ᗘ 㸪R㸸㗰 ⌫ ༙ ᚄ 㸪 ^S㸸㗰 ⌫ ᐦ ᗘ 㸪^P㸸 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡢ ࣏ ࢔ ࢯ ࣥ ẚ 㸪^S㸸㗰 ⌫ ࡢ ࣏ ࢔ ࢯ ࣥ ẚ 㸪E^P㸸 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡢ ᙎ ᛶ ಀ ᩘ 㸪E^S㸸㗰 ⌫ ࡢ ᙎ ᛶ ಀ ᩘ ࡛ ࠶ ࡿ ࠋ 㗰 ⌫

┤ ᚄ ࡀ ᑠ ࡉ ࡃ ࡞ ࢀ ࡤ ᥋ ゐ ᫬ 㛫 ࡣ ▷ ࡃ ࡞ ࡾ 㸪㗰 ⌫ ┤ ᚄ ࡀ ኱ ࡁ ࡃ ࡞ ࢀ ࡤ ᥋ ゐ ᫬ 㛫 ࡣ 㛗 ࡃ ࡞ ࡿ ࠋ

ከ 㔜 ཯ ᑕ ἲ ࡛ ࡣ 㸪㗰 ⌫ ᡴ ᧁ ࡛ ᚓ ࡓ ᐃ ᣺ ື ࡟ ᑐ ࡋ ࡚ ࿘ Ἴ ᩘ ゎ ᯒ ࢆ ⾜

࠸ ᇶ ᮏ ࿘ Ἴ ᩘ ࢆ Ỵ ᐃ ࡍ ࡿ ࡀ 㸪 ᥋ ゐ ᫬ 㛫 ࡀ ࿘ Ἴ ᩘ ゎ ᯒ ⤖ ᯝ ࡟ ᙳ 㡪 ࢆ ཬ ࡰ ࡍ ࡇ ࡜ ࡀ ᣦ ᦬ ࡉ ࢀ ࡚ ࠸ ࡿ ࠋ ཧ ⪃ ᩥ ⊩2 . 2 )࡛ ࡣ 㸪 ᥋ ゐ ᫬ 㛫 ࡀ ཯ ᑕ Ἴ ࡢ ࿘ ᮇ ࡼ ࡾ ࡶ ▷ ࡃ ࡞ ࡿ ࡼ ࠺ ࡟ 㗰 ⌫ ࢆ 㑅 ᐃ ࡍ ࡿ ࡇ ࡜ ࡀ つ ᐃ ࡉ ࢀ ࡚ ࠸ ࡿ ࠋ

ࡑ ࡇ ࡛ ᮏ ⠇ ࡛ ࡣ 㸪 ඛ ࡎ 㸪⾲ ࡟ ♧ ࡍ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡢ ࠺ ࡕ タィ ཌ ࡉ

(20)

ࡀ3 0 0 m m_࡜6 0 0 m mࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࢆ ᑐ ㇟ ࡜ ࡋ ࡚ 㸪 ᡴ ᧁ ࡍ ࡿ 㗰 ⌫ ࡢ ┤ ᚄ ࢆ ኚ ໬ ࡉ ࡏ ࡓ ᐃ ࢆ ⾜ ࡞ ࠸ 㸪㗰 ⌫ ࡢ 㑅 ᐃ ࡟ 㛵 ࡍ ࡿ つ ᐃ ෆ ᐜ ࢆ ᳨ ド ࡋ ࡓ 㸦2 . 3 . 2㡯㸧 ࠋ ḟ ࡟ 㸪 ࡇ ࡢ ᳨ ド ⤖ ᯝ ࢆ ཯ ᫎ ࡉ ࡏ ࡓ ᐃ ࢆ⾲ ࡟ ♧ ࡍ タィ ཌ ࡉ1 1 0 m m_㹼2 4 0 0 m mࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࢆ ᑐ ㇟ ࡜ ࡋ ࡚ ⾜ ࠸ 㸪 ከ 㔜

཯ ᑕ ἲ ࡀ 㐺 ⏝ ࡛ ࡁ ࡿ ཌ ࡉ ࡢ ⠊ ᅖ ࢆ ☜ ㄆ ࡋ ࡓ 㸦2 . 3 . 3㡯㸧 ࠋ

⾲ ࡟ ♧ ࡍ ඲ ࡚ ࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡣ 㸪 ᖜ 㸪㛗 ࡉ ࡀ ཌ ࡉ ࡢ6_{ಸ ௨ ୖ ࡛ ࠶}

ࡾ 㸪 ཧ ⪃ ᩥ ⊩2 . 2 )࡟ ♧ ࡉ ࢀ ࡿ ከ 㔜 ཯ ᑕ ἲ ࡢ 㐺 ⏝ ᮲ ௳ ࢆ ‶ ㊊ ࡍ ࡿ ∧ ᙧ ≧

࡛ ࠶ ࡿ ࠋ ࡞ ࠾ 㸪⾲ ࡛ ࡢ ⦪ ᙎ ᛶ Ἴ ㏿ ᗘ ࡜ ࡣ 㸪 ఏ ᦙ ᫬ 㛫 ᕪ ἲ 㸦 ྠ ୍ 㠃㓄 ⨨ 㸧 ࡟ ࡼ ࡾ ஦ ๓ ࡟ ᐃ ࡋ ࡓ ⤖ ᯝ ࡛ ࠶ ࡿ ࠋᅗ ࡟ ♧ ࡍ ࡜ ࠾ ࡾ 㸪 ᙎ ᛶ Ἴ ࡢ ධ ຊ Ⅼ ࡜ ཷ ಙ Ⅼ ࢆ ྠ ୍ 㠃 ࡟ タ ᐃ ࡋ ࡚ 㸪2Ⅼ ࡢ ཷ ಙ Ⅼ ࡛ ࡢ ⦪ ᙎ ᛶ Ἴ ࡢ ఏ ᦙ ᫬ 㛫 ᕪ ࢆ ᐃ ࡋ 㸪 ཷ ಙ Ⅼ 㛫 ࡢ ㊥㞳 ࠿ ࡽ ⦪ ᙎ ᛶ Ἴ ㏿ ᗘ ࢆ ⟬ ฟ ࡋ ࡓ ࠋ

2 . 3 . 2 ᡴ ᧁ ࡍ ࡿ 㗰 ⌫ ࡢ ┤ ᚄ ࡟ ࡼ ࡿ ᙳ 㡪 ࡢ ☜ ㄆ ᐇ 㦂

( 1 ) ᐇ 㦂 ෆ ᐜ

タィ ཌ ࡉ3 0 0 m mࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡜ タィ ཌ ࡉ6 0 0 m mࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ

⾲ ᐃ ᑐ ㇟ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ

110 3650 H 24 ᐇ㦂⏝౪ヨయ

200 4000 H 24 ᐇ㦂⏝౪ヨయ

300 4168 N 45 ᐇ㦂⏝౪ヨయ

400 4000 H 24 ᐇ㦂⏝౪ヨయ

600 3406 N 18 ᐇ㦂⏝౪ヨయ

1200 4033 BB 24 ᐇᵓ㐀≀

1600 4060 BB 24 ᐇᵓ㐀≀

1900 4108 BB 24 ᐇᵓ㐀≀

2400 3994 ᐇᵓ㐀≀

ഛ⪃

ヲ⣽୙᫂

タィཌࡉ (mm)

⦪ᙎᛶἼ㏿ᗘ (m/s)

ࢭ࣓ࣥࢺ✀㢮㸦グྕ㸧

࿧ࡧᙉᗘ

ཷಙⅬ1

ධຊⅬ ཷಙⅬ2

ࢥࣥࢡ࣮ࣜࢺ L¹

L²

ᅗ ఏ ᦙ ᫬ 㛫 ᕪ ἲ 㸦 ྠ ୍ 㠃㓄 ⨨ 㸧 ࡟ ࡼ ࡿ ᐃ ≧ ἣ

(21)

ࢆ ᑐ ㇟ ࡜ ࡋ ࡚ 㸪 ᡴ ᧁ ࡍ ࡿ 㗰 ⌫ ࡢ ┤ ᚄ ࢆ ኚ ໬ ࡉ ࡏ ࡚ ᐃ ࡋ ࡓ ࠋ 㗰 ⌫ ࡢ ┤ ᚄ ࡣ タィ ཌ ࡉ 3 0 0 m mࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡛ ࡣ 8 m m _㸪 1 0 m m _㸪 1 5 m m _㸪 2 0 m m_{㸪タィ ཌ ࡉ}6 0 0 m mࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡛ ࡣ1 0 m m_㸪1 5 m m_㸪2 0 m m_㸪 3 0 m m ࡛ ࠶ ࡿ ࠋ ౑ ⏝ ࡋ ࡓ ຍ ㏿ ᗘ ィ ࡣ ᅽ 㟁 ᆺ ຍ ㏿ ᗘ ィ㸦 ࿘ Ἴ ᩘ ⠊ ᅖ 0 . 2 H z_㹼2 0 k H z㸧 ࡛ 㸪 ࢧ ࣥ ࣉ ࣜ ࣥ ࢢ ᫬ 㛫㛫㝸 ࡣ2 s㸪 ࢧ ࣥ ࣉ ࣜ ࣥ ࢢ ࢹ

࣮ ࢱ ᩘ ࡣ4 0 9 6_{ಶ ࡛ ࠶ ࡿ ࠋ}

( 2 ) ᐇ 㦂 ⤖ ᯝ

ྛ 㗰 ⌫ ┤ ᚄ ࡛ ᚓ ࡽ ࢀ ࡓ ᐃ ᣺ ື ࡜ ࣃ ࣡ ࣮ ࢫ ࣌ ࢡ ࢺ ࣝ ࡟ ࡘ ࠸ ࡚ 㸪タィ ཌ ࡉ3 0 0 m m_{࡛ ࡢ ⤖ ᯝ ࢆ}_ᅗ࡟ 㸪タィ ཌ ࡉ6 0 0 m m_{࡛ ࡢ ⤖ ᯝ ࢆ}_ᅗ_࡟

♧ ࡍ ࠋ ࡞ ࠾ 㸪 ᐃ ᣺ ື ࡜ ࣃ ࣡ ࣮ ࢫ ࣌ ࢡ ࢺ ࣝ ࡢ ᣺ ᖜ ್ ࡣ 㸪 ᣺ ᖜ ್ ࡢ ᭱ ኱

್ ࡀ1࡟ ࡞ ࡿ ࡼ ࠺ ࡟ 㸪 ྛ ᣺ ᖜ ್ ࢆ ᣺ ᖜ ್ ࡢ ᭱ ኱ ್ ࡛ 㝖 ࡍ ࡿ ᶆ ‽ ໬ 㸦 ௨

ୗ 㸪 ᶆ ‽ ໬ ࡜ ࠸ ࠺ 㸧 ࢆ ⾜ ࡗ ࡚ ࠸ ࡿ ࠋᅗ 㸪ᅗ ࡼ ࡾ 㸪㗰 ⌫ ࡢ ┤ ᚄ

࡟ ࡼ ࡗ ࡚ ࣃ ࣡ ࣮ ࢫ ࣌ ࢡ ࢺ ࣝ ࡣ ኚ ໬ ࡋ 㸪㗰 ⌫ ࡢ ┤ ᚄ ࡀ ᑠ ࡉ ࡃ 㸪 ᥋ ゐ ᫬ 㛫

0 0.5 1 1.5 2

᣺ᖜ(A.U.) ȭ 8mm

0 5 10 15 20 25 30

᣺ᖜ(A.U.) fmax=28.1kHz f0=6.95kHz

0 0.5 1 1.5 2

᣺ᖜ(A.U.) ȭ10mm

0 5 10 15 20 25 30

0 0.5 1 1.5 2

᣺ᖜ(A.U.) ȭ15mm

0 0.5 1 1.5 2

᣺ᖜ(A.U.) ȭ20mm

᫬้(ms)

0 5 10 15 20 25 30

࿘Ἴᩘ(kHz)

0 5 10 15 20 25 30

ᅗ ྛ 㗰 ⌫ ࡛ ࡢ ᐃ ᣺ ື 㸦 ᕥ ᅗ 㸧 ࡜ ࣃ ࣡ ࣮ ࢫ ࣌ ࢡ ࢺ ࣝ 㸦 ྑ ᅗ 㸧㸦タィ ཌ ࡉ P P 㸧

(22)

ࡀ ▷ ࡃ ࡞ ࡿ ࡯ ࡝ 㧗 ᇦ ࡢ ࿘ Ἴ ᩘ ᡂ ศ ࡢ ᣺ ᖜ ್ ࡀ ኱ ࡁ ࡃ ࡞ ࡿ ࡇ ࡜ ࡀ ☜ ㄆ ࡉ

ࢀ ࡿ ࠋ

ྛ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡛ ࡢ ᇶ ᮏ ࿘ Ἴ ᩘf⁰ࡣ ᘧ( 2 . 2 )ࡼ ࡾ ⟬ ฟ ࡛ ࡁ ࡿ ࠋ

0 P

0 2D

f V ( 2 . 2 ) ࡇ ࡇ ࡛ 㸪D0㸸 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡢ ཌ ࡉ 㸪VP㸸 ⦪ ᙎ ᛶ Ἴ ㏿ ᗘ ࡛ ࠶ ࡿ ࠋ ⾲ ࡟ ♧ ࡋ ࡓ ⦪ ᙎ ᛶ Ἴ ㏿ ᗘ ࡜ タィ ཌ ࡉ ࠿ ࡽ ᇶ ᮏ ࿘ Ἴ ᩘf⁰ࢆ ⟬ ฟ ࡍ

ࡿ ࡜ 㸪タィ ཌ ࡉ3 0 0 m m_ࡣ6 . 9 5 k H z_{㸪タィ ཌ ࡉ}6 0 0 m m_ࡣ2 . 8 4 k H z_{࡜ ࡞}

ࡿ ࠋ ᇶ ᮏ ࿘ Ἴ ᩘ ࡜ᅗ 㸪ᅗ ࡟ ♧ ࡋ ࡓ ࣃ ࣡ ࣮ ࢫ ࣌ ࢡ ࢺ ࣝ ࡛ ࡢ ༟ ㉺

࿘ Ἴ ᩘf^{m a x}࡜ ࢆ ẚ ㍑ ࢆ ᅗ ࡟ ♧ ࡍ ࠋ タィ ཌ ࡉ3 0 0 m m࡛ ࡢ 㗰 ⌫ ┤ ᚄ 8 m m_࡜1 0 m m_{㸪タィ ཌ ࡉ}6 0 0 m mࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡛ ࡢ 㗰 ⌫ ┤ ᚄ1 0 m m_࡜ 1 5 m m㸪 ࡇ ࢀ ࡽ ࡛ ࡣ ᇶ ᮏ ࿘ Ἴ ᩘ ࡢ ᣺ ᖜ ್ ࡣ ࠶ ࡿ ⛬ ᗘ ኱ ࡁ ࡃ ࡞ ࡗ ࡚ ࠸ ࡿ ࡀ 㸪 ༟ ㉺ ࿘ Ἴ ᩘ ࡜ ࡣ ࡞ ࡗ ࡚ ࠸ ࡞ ࠸ ࠋ ༟ ㉺ ࿘ Ἴ ᩘ ࡣ ᇶ ᮏ ࿘ Ἴ ᩘ ࡼ ࡾ ࡶ 㧗 ᇦ ࡢ ࿘ Ἴ ᩘ ࡜ ࡞ ࡾ 㸪 ᇶ ᮏ ࿘ Ἴ ᩘ ࢆ ṇ ☜ ࡟ ᐃ ࡛ ࡁ ࡞ ࠸ ⤖ ᯝ ࡛ ࠶ ࡿ ࠋ

0 0.5 1 1.5 2

᣺ᖜ(A.U.) ȭ10mm

0 5 10 15 20 25 30

᣺ᖜ(A.U.) fmax=13.1kHz f0=2.84kHz

0 0.5 1 1.5 2

᣺ᖜ(A.U.) ȭ15mm

0 5 10 15 20 25 30

0 0.5 1 1.5 2

᣺ᖜ(A.U.) ȭ20mm

0 5 10 15 20 25 30

0 0.5 1 1.5 2

᣺ᖜ(A.U.) ȭ30mm

᫬้(ms)

0 5 10 15 20 25 30

࿘Ἴᩘ(kHz)

ᅗ ྛ 㗰 ⌫ ࡛ ࡢ ᐃ ᣺ ື 㸦 ᕥ ᅗ 㸧 ࡜ ࣃ ࣡ ࣮ ࢫ ࣌ ࢡ ࢺ ࣝ 㸦 ྑ ᅗ 㸧㸦タィ ཌ ࡉ P P 㸧

(23)

ࡇ ࡢ ཎ ᅉ ࡟ ࡘ ࠸ ࡚ ⪃ ᐹ ࡍ ࡿ ࠋᅗ ࡢ ᶍ ᘧ ᅗ ࡟ ♧ ࡋ ࡓ ㏻ ࡾ 㸪㗰 ⌫ ᡴ ᧁ ࡟ ࡼ ࡾ ཯ ᑕ Ἴ ௨ እ ࡢ 」 ᩘ ࡢ ᙎ ᛶ Ἴ ࡀ Ⓨ ⏕ ࡍ ࡿ ࡀ 㸪 ࡇ ࢀ ࡽ 」 ᩘ ࡢ ᙎ ᛶ Ἴ ࡢ ࠺ ࡕ 㸪 ᭱ ࡶ ᣺ ᖜ ࡀ ኱ ࡁ ࠸ ࡢ ࡣ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ⾲㠃 ࢆ ఏ ᦙ ࡍ ࡿ ࣞ ࢖ ࣜ

࣮ Ἴ ࡛ ࠶ ࡿ^{2 . 6 )}ࠋ ࡉ ࡽ ࡟ 㸪 ࡇ ࡢ ࣞ ࢖ ࣜ ࣮ Ἴ ࡣ 㸪 ࿘ ▱ ࡢ ࡜ ࠾ ࡾ 㸪 ᙎ ᛶ య ࡢ ⾲ ᒙ ࡢ య ✚ ኚ ໬ ࢆ ఏ ࠼ ࡿ Ἴ ࡛ ࠶ ࡿ ࠋ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ⾲㠃 ࡛ ࡢ 㗰 ⌫ ᡴ ᧁ ࡢ ሙ ྜ 㸪⾲ ᒙ 㒊 ࡢ య ✚ ኚ ໬ ࡣ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ⾲㠃 ࡟ 㗰 ⌫ ࡀ ᥋ ゐ ࡍ ࡿ ࡇ ࡜

࡟ ࡼ ࡾ ⏕ ࡌ ࡿ ࡇ ࡜ ࡜ ࠿ ࡽ 㸪㗰 ⌫ ᡴ ᧁ ࡟ ࡼ ࡾ Ⓨ ⏕ ࡍ ࡿ ࣞ ࢖ ࣜ ࣮ Ἴ ࡢ ࿘ Ἴ

ᩘ ࡣ ᥋ ゐ ᫬ 㛫 ࢆ ཯ ᫎ ࡍ ࡿ ࡇ ࡜ ࡜ ࡞ ࡿ ࠋ ౛ ࠼ ࡤᅗ ࡢ 㗰 ⌫ ┤ ᚄ8 m m_࡛ ࡣ 㸪 ᇶ ᮏ ࿘ Ἴ ᩘ ࡀ6 . 9 5 k H z࡛ ࠶ ࡿ ࡢ ࡟ ᑐ ࡋ ࡚ 㸪 ༟ ㉺ ࿘ Ἴ ᩘ ࡣ2 8 . 1 k H z

࡜ ᇶ ᮏ ࿘ Ἴ ᩘ ࡼ ࡾ ࡶ 㧗 ࠸ ࿘ Ἴ ᩘ ࡜ ࡞ ࡗ ࡓ ࡀ 㸪 ࡇ ࡢ ༟ ㉺ ࿘ Ἴ ᩘ ࡣ ┤ ᚄ 8 m m࡜ ᑠ ࡉ ࠸ 㗰 ⌫ ࡛ ࡢ ▷ ࠸ ᥋ ゐ ᫬ 㛫 ࢆ ཯ ᫎ ࡋ ࡓ ࣞ ࢖ ࣜ ࣮ Ἴ ࡢ ࿘ Ἴ ᩘ ࡛

࠶ ࡿ ࠋ ཧ ⪃ ᩥ ⊩2 . 2 )࡛ ࡣ 㸪 ᥋ ゐ ᫬ 㛫 ࡀ ཯ ᑕ Ἴ ࡢ ࿘ ᮇ ࡼ ࡾ ࡶ ▷ ࡃ ࡞ ࡿ ࡼ

࠺ ࡟ 㸪 ࡘ ࡲ ࡾ 㸪 ࣞ ࢖ ࣜ ࣮ Ἴ ࡢ ࿘ Ἴ ᩘ ࡀ ᇶ ᮏ ࿘ Ἴ ᩘ ࡼ ࡾ ࡶ 㧗 ࡃ ࡞ ࡿ ࡼ ࠺

࡟ 㗰 ⌫ ࢆ 㑅 ᐃ ࡍ ࡿ ࡇ ࡜ ࡀ つ ᐃ ࡉ ࢀ ࡚ ࠸ ࡿ ࡀ 㸪 ࡇ ࡢ ᮲ ௳ ࡢ 㗰 ⌫ ࢆ 㑅 ᐃ ࡋ

࡚ ࡶ 㸪 ࣞ ࢖ ࣜ ࣮ Ἴ ࡢ ࿘ Ἴ ᩘ ࡜ ᇶ ᮏ ࿘ Ἴ ᩘ ࡜ ࡀ ஋ 㞳 ࡋ ࡚ ࠸ ࢀ ࡤ 㸪 ᇶ ᮏ ࿘ Ἴ ᩘ ࡣ ᐃ ࡛ ࡁ ࡞ ࠸ ࡜ ุ ᩿ ࡛ ࡁ ࡿ ࠋ

ࡑ ࡢ ୍ ᪉ ࡛ 㸪タィ ཌ ࡉ3 0 0 m m࡛ ࡢ 㗰 ⌫ ┤ ᚄ1 5 m m_࡜2 0 m m_{㸪タィ ཌ} ࡉ6 0 0 m mࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡛ ࡢ 㗰 ⌫ ┤ ᚄ2 0 m m_࡜3 0 m m࡜ 」 ᩘ ࡢ 㗰 ⌫ ࡟

࠾ ࠸ ࡚ 㸪 ༟ ㉺ ࿘ Ἴ ᩘ ࡣ ᇶ ᮏ ࿘ Ἴ ᩘ ࡜ ୍ ⮴ ࡋ ࡓ ࠋ ௨ ୖ ࡢ ⤖ ᯝ ࡼ ࡾ 㸪 ࣞ ࢖

ࣜ ࣮ Ἴ ࡢ ࿘ Ἴ ᩘ ࡀ ᇶ ᮏ ࿘ Ἴ ᩘ ࡜ ࠶ ࡿ ⛬ ᗘ ୍ ⮴ ࡍ ࡿ ࡼ ࠺ ࡞ ┤ ᚄ ࡢ 㗰 ⌫ ࢆ 㑅 ᐃ ࡍ ࢀ ࡤ 㸪 ᇶ ᮏ ࿘ Ἴ ᩘ ࢆ ᐃ ࡛ ࡁ ࡿ ࡜ ⪃ ࠼ ࡽ ࠼ ࡿ ࠋ

10 15 20 25 30

0 5 10 15 20 25 30

࿘Ἴᩘ(kHz)

ᡴᧁ䛩䜛㗰⌫䛾┤ᚄ(mm) タィཌ䛥300mm䛷䛾༟㉺࿘Ἴᩘ

タィཌ䛥600mm䛷䛾༟㉺࿘Ἴᩘ

タィཌ䛥300mm 䛾ᇶᮏ࿘Ἴᩘ

タィཌ䛥600mm 䛾ᇶᮏ࿘Ἴᩘ

ᅗ ᇶ ᮏ ࿘ Ἴ ᩘ ࡜ ᐃ ࡛ ᚓ ࡽ ࢀ ࡓ ༟ ㉺ ࿘ Ἴ ᩘ ࡜ ࡢ ẚ ㍑ ⤖ ᯝ

(24)

2 . 3 . 3 ᐃ ᣺ ື ࡟ ᑐ ࡍ ࡿ ࣇ ࣮ ࣜ ࢚ ኚ ᥮ ࡟ ࠾ ࡅ ࡿ 㐺 ⏝ 㝈 ⏺ ࡢ ᳨ ウ

( 1 ) ᐇ 㦂 ෆ ᐜ

⾲ ࡟ ♧ ࡋ ࡓ タィ ཌ ࡉ1 1 0 m m_㹼2 4 0 0 m mࡢ ඲ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࢆ ᑐ ㇟

࡜ ࡋ ࡚ 㸪 ᐃ ᣺ ື ࡟ ᑐ ࡍ ࡿ ࣇ ࣮ ࣜ ࢚ ኚ ᥮ ࡟ ࡼ ࡿ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡢ ཌ ࡉ ࡢ 㐺 ⏝ 㝈 ⏺ ࢆ ☜ ㄆ ࡋ ࡓ ࠋ ࡞ ࠾ 㸪タィ ཌ ࡉ ࡟ ࡼ ࡗ ࡚ ౑ ⏝ ࡍ ࡿ 㗰 ⌫ ࡢ ┤ ᚄ ࢆ

⾲ ࡟ ♧ ࡍ ࡜ ࠾ ࡾ ࡟ ኚ ໬ ࡉ ࡏ ࡓ ࠋ ࡇ ࢀ ࡣ ๓ 㡯 ࡛ ♧ ࡉ ࢀ ࡓ 㸪 ᇶ ᮏ ࿘ Ἴ

ᩘ ࢆ ᐃ ࡍ ࡿ ࡟ ࡣ ࣞ ࢖ ࣜ ࣮ Ἴ ࡢ ࿘ Ἴ ᩘ ࡀ ᇶ ᮏ ࿘ Ἴ ᩘ ࡜ ࠶ ࡿ ⛬ ᗘ ୍ ⮴ ࡍ

ࡿ ࡼ ࠺ ࡞ ┤ ᚄ ࡢ 㗰 ⌫ ࢆ 㑅 ᐃ ࡍ ࡿ ࡜ ࠸ ࠺ ᮲ ௳ ࡟ ᚑ ࡗ ࡓ ࡶ ࡢ ࡛ ࠶ ࡿ ࠋ ౑ ⏝ ࡋ ࡓ ຍ ㏿ ᗘ ィ ࡣ ᅽ 㟁 ᆺ ຍ ㏿ ᗘ ィ㸦 ࿘ Ἴ ᩘ ⠊ ᅖ0 . 2 H z_㹼2 0 k H z_{㸧 ࡛ 㸪 ࢧ}

ࣥ ࣉ ࣜ ࣥ ࢢ ᫬ 㛫㛫㝸 ࡣ タィ ཌ ࡉ 1 1 0 m m_㹼 6 0 0 m m_ࡣ2 s _{㸪タィ ཌ ࡉ} 1 2 0 0 m m_㹼2 4 0 0 m m_ࡣ1 0 s㸪 ࢧ ࣥ ࣉ ࣜ ࣥ ࢢ ࢹ ࣮ ࢱ ᩘ ࡣ4 0 9 6_{ಶ ࡛ ࠶ ࡿ ࠋ} ( 2 ) ᐇ 㦂 ⤖ ᯝ

ྛ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡛ ᚓ ࡽ ࢀ ࡓ ᐃ ᣺ ື ࡜ ࣃ ࣡ ࣮ ࢫ ࣌ ࢡ ࢺ ࣝ ࡟ ࡘ ࠸ ࡚ 㸪タィ ཌ ࡉ1 1 0 m m_㹼6 0 0 m m_{࡛ ࡢ ⤖ ᯝ ࢆ}_ᅗ࡟ 㸪タィ ཌ ࡉ1 2 0 0 m m_㹼 2 4 0 0 m m_{࡛ ࡢ ⤖ ᯝ ࢆ}_ᅗ_{࡟ ♧ ࡍ ࠋ}_ᅗ_㸪_ᅗࡢ ᣺ ᖜ ್ ࡣ ᶆ ‽ ໬ ࢆ

⾜ ࡗ ࡚ ࠸ ࡿ ࠋ ࡲ ࡓ 㸪ᅗ 㸪ᅗ ࡟ ࡣ 㸪 ࣃ ࣡ ࣮ ࢫ ࣌ ࢡ ࢺ ࣝ ࡛ ࡢ ༟ ㉺

࿘ Ἴ ᩘ ࡀ ᇶ ᮏ ࿘ Ἴ ᩘ ࡜ ୍ ⮴ ࡋ ࡚ ࠸ ࡿ ࡢ ࠿ ࢆ ☜ ㄆ ࡍ ࡿ ࡓ ࡵ 㸪 ༟ ㉺ ࿘ Ἴ ᩘ

࡜⾲ ࡟ ♧ ࡋ ࡓ ⦪ ᙎ ᛶ Ἴ ㏿ ᗘ ࠿ ࡽ ᘧ( 2 . 3 )࡟ ࡼ ࡾ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡢ 㒊 ᮦ ཌ ࡉ ࢆ ᥎ ᐃ ࡋ ࡓ ⤖ ᯝ ࢆ ♧ ࡋ ࡓ ࠋ

max P

2f

D V ( 2 . 3 ) ࡇ ࡇ ࡛ 㸪D㸸 ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ 㒊 ᮦ ࡢ ᥎ ᐃ ཌ ࡉ 㸪V^P㸸 ⦪ ᙎ ᛶ Ἴ ㏿ ᗘ 㸪

⾲ ྛ タィ ཌ ࡉ ࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡛ ౑ ⏝ ࡋ ࡓ 㗰 ⌫

タィཌࡉ(mm) ౑⏝ࡋࡓ㗰⌫ࡢ┤ᚄ(mm)

110 8

200 15

300 20

400 30

600 30

1200 63

1600 63

1900 76

2400 76

(25)

f^{m a x}㸸 ༟ ㉺ ࿘ Ἴ ᩘ ࡛ ࠶ ࡿ ࠋ

タィ ཌ ࡉ ࡜ ᥎ ᐃ ཌ ࡉ ࡜ ࡢ ẚ ㍑ ⤖ ᯝ ࢆ ᅗ ࡟ ♧ ࡍ ࡜ 㸪タィ ཌ ࡉ 1 1 0 m m_㹼1 6 0 0 m m࡛ ࡣ 㸪 ୧ ⪅ ࡣ Ⰻ ࡃ ୍ ⮴ ࡍ ࡿ ⤖ ᯝ ࡜ ࡞ ࡾ 㸪 ࡇ ࢀ ࡽ ࡢ ཌ ࡉ ࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡛ ࡣ ᇶ ᮏ ࿘ Ἴ ᩘ ࡀ ᐃ ࡛ ࡁ ࡚ ࠸ ࡿ ࡶ ࡢ ࡜ ุ ᩿ ࡛ ࡁ ࡿ ࠋ ࡇ ࢀ ࡟ ᑐ ࡋ ࡚ 㸪タィ ཌ ࡉ1 9 0 0 m m_㸪2 4 0 0 m m࡛ ࡣ タィ ཌ ࡉ ࡜ ᥎ ᐃ ཌ ࡉ ࡣ ୍ ⮴ ࡏ ࡎ ࡟ 㸪 ᇶ ᮏ ࿘ Ἴ ᩘ ࡀ ᐃ ࡛ ࡁ ࡚ ࠸ ࡞ ࠸ ࡜ ุ ᩿ ࡉ ࢀ ࡿ ࠋ

タィ ཌ ࡉ1 9 0 0 m m_㸪2 4 0 0 m m࡛ ࡢ ᇶ ᮏ ࿘ Ἴ ᩘ ࢆ ᘧ( 2 . 2 )_{࡟ ࡼ ࡾ ⟬ ฟ} ࡍ ࡿ ࡜ 㸪タィ ཌ ࡉ 1 9 0 0 m m _{࡛ ࡣ} 1 . 0 8 k H z _{㸪タィ ཌ ࡉ} 2 4 0 0 m m _{࡛ ࡣ} 0 . 8 3 k H z࡜ ࡞ ࡿ ࠋ ࡇ ࢀ ࡟ ᑐ ࡋ 㸪タィ ཌ ࡉ1 9 0 0 m m_㸪2 4 0 0 m m_{ࡢ ࣃ ࣡ ࣮} ࢫ ࣌ ࢡ ࢺ ࣝ ࡛ ࡣ 㸪 ࿘ Ἴ ᩘ0 k H z_㹼4 k H z⛬ ᗘ ࡢ ᗈ ࠸ ࿘ Ἴ ᩘ ᖏ ᇦ ࡛ ᣺ ᖜ ್ ࡀ ኱ ࡁ ࡃ ࡞ ࡾ 㸪 ᇶ ᮏ ࿘ Ἴ ᩘ ࢆ ≉ ᐃ ࡛ ࡁ ࡞ ࠸ ⤖ ᯝ ࡜ ࡞ ࡗ ࡓ ࠋ

0 0.5 1 1.5 2

᣺ᖜ(A.U.) タィཌ䛥110mm

0 0.5 1 1.5 2

᫬้(ms)

0 5 10 15 20 25 30

᣺ᖜ(A.U.) fmax=15.9.kHz D=115mm

0 5 10 15 20 25 30

᣺ᖜ(A.U.) fmax=9.64kHz D=207mm

0 5 10 15 20 25 30

࿘Ἴᩘ(kHz)

0 0.5 1 1.5 2

0 5 10 15 20 25 30

ᅗ タィ ཌ ࡉ P P 㹼タィ ཌ ࡉ P P ࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡛ ࡢ ᐃ ᣺

ື 㸦 ᕥ ᅗ 㸧 ࡜ ࣃ ࣡ ࣮ ࢫ ࣌ ࢡ ࢺ ࣝ 㸦 ྑ ᅗ 㸧

(26)

ࣇ ࣮ ࣜ ࢚ ኚ ᥮ ࡟ ࡼ ࡿ ࣃ ࣡ ࣮ ࢫ ࣌ ࢡ ࢺ ࣝ ࡟ ࠾ ࠸ ࡚ ࡇ ࡢ ᵝ ࡟ ᗈ ࠸ ࿘ Ἴ ᩘ ᖏ ᇦ ࡛ ᣺ ᖜ ್ ࡀ ኱ ࡁ ࡃ ࡞ ࡿ ࡢ ࡣ 㸪 ᐃ ᣺ ື ࡛ ࡢ Ἴ ᙧ ࡢ ಶ ᩘ ࡀ ᑡ ࡞ ࠸ ሙ

ྜ ࡛ ࡢ ඾ ᆺ ⓗ ࡞ ≉ ᚩ ࡛ ࠶ ࡿ ࠋ ᐇ 㝿 ࡟ 㸪タィ ཌ ࡉ1 9 0 0 m m_㸪2 4 0 0 m m_ࡢ ᐃ ᣺ ື ࢆ ぢ ࡿ ࡜ 㸪 ≉ ࡟ タィ ཌ ࡉ 2 4 0 0 m m ࡛ ࡢ ᐃ ᣺ ື ࡣ 㸪 ᫬ ้ 0 . 8 m s௨ 㝆 ࡢ ᣺ ᖜ ್ ࡀ ⴭ ࡋ ࡃ ᑠ ࡉ ࡃ ࡞ ࡾ 㸪 ᐃ ᣺ ື ࡛ ࡢ Ἴ ᙧ ࡢ ಶ ᩘ ࡣ 1ಶ ⛬ ᗘ ࡛ ࠶ ࡗ ࡓ ࠋ ᇶ ᮏ ࿘ Ἴ ᩘ ࡣ ཯ ᑕ Ἴ ࡢ ከ 㔜 ཯ ᑕ ࡟ ࡼ ࡾ ฟ ⌧ ࡍ ࡿ ࿘ Ἴ ᩘ ࡛ ࠶ ࡿ ࡀ 㸪㒊 ᮦ ཌ ࡉ ࡀ ኱ ࡁ ࡃ ࡞ ࡿ ࡜ 㸪 ཯ ᑕ Ἴ ࡣ ఏ ᦙ 㐣 ⛬ ࡛ ῶ ⾶ ࡋ 㸪 ᐇ 㝿 ࡟ ᐃ ࡉ ࢀ ࡓ ᐃ ᣺ ື ࡣ 㸪 ⦪ ᙎ ᛶ Ἴ ࡢ ධ ຊ ┤ ᚋ ࡟ ᐃ ࡉ ࢀ ࡓ ࣞ ࢖

ࣜ ࣮ Ἴ ࡢ ࡳ ࡛ ࠶ ࡗ ࡓ ࡜ ⪃ ࠼ ࡽ ࢀ ࡿ ࠋ

௨ ୖ ࡢ ࡜ ࠾ ࡾ 㸪 ᐃ ᣺ ື ࡟ ᑐ ࡍ ࡿ ࣇ ࣮ ࣜ ࢚ ኚ ᥮ ࡛ ࡣ 㸪㒊 ᮦ ཌ ࡉ ࡀ 1 9 0 0 m m௨ ୖ ࡜ ኱ ࡁ ࡃ ࡞ ࡿ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡛ ࡣ 㸪 ከ 㔜 ཯ ᑕ ࡍ ࡿ ཯ ᑕ Ἴ ࡀ ῶ ⾶ ࡍ ࡿ ᙳ 㡪 ࡟ ࡼ ࡾ 㸪 ᇶ ᮏ ࿘ Ἴ ᩘ ࢆ ṇ ☜ ࡟ ᐃ ࡛ ࡁ ࡞ ࠸ ࡜ ุ ᩿ ࡉ ࢀ ࡿ ࠋ

2 . 3 . 4 ᳨ ウ ⤖ ᯝ

ᮏ ⠇ ࡛ ࡣ 㸪 ከ 㔜 ཯ ᑕ ἲ ࡛ ࡢ ᇶ ᮏ ࿘ Ἴ ᩘ ࡢ ᐃ ࢆ 㸪 ཧ ⪃ ᩥ ⊩2 . 2 )_{࡛ つ}

0 0.5 1 1.5 2 2.5 3 3.5 4

᫬้(ms)

0 2 4 6 8 10 12 14

࿘Ἴᩘ(kHz)

ᅗ タィ ཌ ࡉ P P 㹼タィ ཌ ࡉ P P ࡢ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡛ ࡢ ᐃ

᣺ ື 㸦 ᕥ ᅗ 㸧 ࡜ ࣃ ࣡ ࣮ ࢫ ࣌ ࢡ ࢺ ࣝ 㸦 ྑ ᅗ 㸧