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鉄道トンネルから発生する固体音領域の振動の数値計算による検討

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ᮾᛴᘓタᢏ⾡◊✲ᡤሗ No.40 U.D.C 524.961

㕲㐨ࢺࣥࢿࣝ࠿ࡽⓎ⏕ࡍࡿᅛయ㡢㡿ᇦࡢ᣺ືࡢ

ᩘ್ィ⟬࡟ࡼࡿ᳨ウ

℩ᡞᒣ ᫓㍤

 ㇏ᔱ Ꮫ

㸨㸨 せ ⣙㸸 㕲㐨ࢺࣥࢿࣝ࠿ࡽⓎ⏕ࡍࡿᅛయ㡢㡿ᇦࡢ᣺ືࡢఏᦙ≉ᛶࢆᢕᥱࡍࡿ➨୍Ṍ࡜ࡋ࡚㸪2 ḟඖ᭷㝈せ⣲ἲࢆ⏝࠸㸪ᆅ୰ࢺࣥࢿ ࣝࡢୗ㠃ࢫࣛࣈ࡟⾪ᧁຍ᣺ຊࢆ୚࠼ࡓሙྜ࡟ᆅ┙࡬ఏᦙࡍࡿ᣺ືࡢ᫬้Ṕᛂ⟅ゎᯒࢆ⾜ࡗࡓࠋࡉࡽ࡟㸪᫬้ṔἼᙧࡢ࢜ࢡࢱ ࣮ࣈศᯒࢆ⾜ࡗࡓࠋࡑࡢ⤖ᯝ㸪ᅛయ㡢㡿ᇦ࡟࠾ࡅࡿ᣺ືఏᦙ࡟ࡣ᪉ྥᛶࡀ࠶ࡾ㸪᣺ືຍ㏿ᗘࣞ࣋ࣝࡣࢺࣥࢿࣝ࠿ࡽࡢゅᗘ࡟ ࡼࡾ 20dB ๓ᚋࡢᕪ␗ࡀ࠶ࡿࡇ࡜ࢆ♧ࡋࡓࠋ࿘Ἴᩘ࡟ࡼࡾ᣺ືఏᦙࡀ᭱኱࡜࡞ࡿゅᗘࡣ␗࡞ࡿࡀ㸪඲యⓗ࡟ぢ࡚ࢺࣥࢿࣝᩳ ࡵୗ᪉࡬ࡢ᣺ືఏᦙࡀ኱ࡁ࠸ࡇ࡜ࡀゎࡗࡓࠋ 㺕㺎㺺㺎㺢㺼㸸  ᅛయ㡢, ᣺ືఏᦙ, ᆅ┙, ᭷㝈せ⣲ἲ, ᫬้Ṕᛂ⟅ゎᯒ ┠ ḟ㸸  1. ࡣࡌࡵ࡟                     3. ィ⟬⤖ᯝ࡜᳨ウ      2. ᳨ウ᪉ἲ                     4. ࡲ࡜ࡵ  ࡣࡌࡵ࡟ ᆅୗ㕲࡞࡝ࡢ㕲㐨ࢺࣥࢿࣝ࡟㏆᥋ࡍࡿᩜᆅ࡟ᘓ≀ࡀ ᘓ࡚ࡽࢀࡿሙྜ㸪㕲㐨࠿ࡽࡢ᣺ືࡀᆅ┙ࢆఏᦙࡋ㸪ᘓ ≀ෆ࡟࠾࠸࡚ᅛయ㡢࡜ࡋ࡚⪺ࡇ࠼ࡿࡇ࡜ࡀ࠶ࡿࠋఫᏯ ࡸ๻ሙ࡞࡝㟼⢔ᛶࡀồࡵࡽࢀࡿᘓ≀࡛ࡣ㸪ၥ㢟࡜࡞ࡿ ࡇ࡜ࡀከ࠸ࠋࡲࡓ㸪㦁㡢※ࡀᘓ≀࠿ࡽぢ࠼ࡎ㸪✺↛㡢 ࡀ⪺ࡇ࠼࡚᮶ࡿࡓࡵ㸪୍⯡ࡢ㦁㡢ࡼࡾࡶ㕲㐨ᅛయ㡢ࡢ ᪉ࡀ㦁㡢࡜ࡋ࡚↹ࢃࡋࡃឤࡌࡿࠋຍ࠼࡚㸪㒔ᕷ㒊࡛ࡣ ㏆ᖺ㐽㡢ᛶࡢ㧗࠸❆ࢧࢵࢩࡀ᥇⏝ࡉࢀ㸪ᐊෆࡢᬯ㦁㡢 ࡀᑠࡉࡃ࡞ࡗ࡚ࡁ࡚࠸ࡿࠋࡑࡢࡓࡵ㸪௨๓࡛ࡣẼ࡟ࡉ ࢀ࡞࠿ࡗࡓࡼ࠺࡞኱ࡁࡉࡢᅛయ㡢࡛ࡶၥ㢟࡜࡞ࡿࡇ࡜ ࡀከࡃ࡞ࡗ࡚࠸ࡿࠋ 㕲㐨ᅛయ㡢ࡀၥ㢟࡜࡞ࡿሙྜࡢ㐽㡢ᑐ⟇ࡣ㸪ᢏ⾡ⓗ ࡟㞴ࡋࡃ㸪ࡲࡓ୍⯡ⓗ࡟኱᥃࠿ࡾ࡞ࡶࡢ࡜࡞ࡿࠋලయ ⓗ࡟ࡣ㸪ᘓ≀ᇶ♏࡜ᆅ┙㛫࡟᣺ື⦆࿴ᒙࢆタࡅࡿ 1) ᘓ≀㌣యࡀ᣺ືࡋ࡟ࡃ࠸ࡼ࠺࡟๛ᛶࢆୖࡆࡿ 2)࣭ෆ⿦ ࢆᾋᵓ㐀࡟ࡍࡿ࡜࠸ࡗࡓ᪉ἲࡀ࡜ࡽࢀࡿࠋࡋࡓࡀࡗ࡚㸪 ᘓ≀᪋ᕤ๓࣭タィࡢ㝿࡟ᑐ⟇ࢆ᳨ウࡋᚲせ༑ศ࡞ᑐ⟇ ࢆ┒ࡾ㎸ࡴᚲせࡀ࠶ࡿࠋ ᑐ⟇᳨ウࡢࡓࡵ࡟ࡣ㸪ᒃᐊ࡟࠾ࡅࡿ㕲㐨ᅛయ㡢ࡢ኱ ࡁࡉࢆ஦๓࡟᥎ィࡍࡿࠋ᥎ィ࡟࠶ࡓࡗ࡚ࡣ㸪ࡲࡎ㸪ᘓ ≀ᆅୗ࣭ᇶ♏㒊ศ࡟ධᑕࡍࡿ᣺ືࡢ኱ࡁࡉࢆ▱ࡿࡇ࡜ ࡀᚲせ࡛࠶ࡿࠋ ࡋ࠿ࡋ㸪ᆅ୰࡟࠾ࡅࡿ᣺ືࡢᐇ ࡣ㞴ࡋࡃ㸪ᩜᆅᆅ ┙⾲㠃࡛᣺ືࡢᐇ ࢆ⾜࠸㸪ࡑࡢࢹ࣮ࢱࢆ⏝࠸࡚ఱࡽ ࠿ࡢ᥎ィࢆ⾜࠺ࡇ࡜࡜࡞ࡿࠋ ᥎ィ࡟࠶ࡓࡗ࡚ᐇ⏝ⓗ࡟ࡣ㸪ୗᘧࡢ Bornitz ࡢ㊥㞳ῶ ⾶ᘧ㸦័⏝ᘧ㸧ࡀࡼࡃ⏝࠸ࡽࢀ࡚࠸ࡿࠋ ݔ௥ൌ ݔ଴൬ ݎ ݎ଴ ൰ ି௡ ݁ିఒሺ௥ି௥బሻ ࡇࡇ࡛ xr:ຍ㏿ᗘ᣺ᖜ r:㊥㞳 x0,r0:ᇶ‽఩⨨ࡢຍ㏿ᗘ᣺ᖜ ࡜㊥㞳 n:ᗄఱῶ⾶ᐃᩘ Ȣ:ෆ㒊ῶ⾶ᐃᩘࠋ㊥㞳࡟ᛂࡌ ࡚㸪᣺ືࡀ༢ㄪ࡟ῶᑡࡍࡿࡇ࡜ࢆ௬ᐃࡋ࡚࠸ࡿᘧ࡛࠶ ࡿࠋ ࡋ࠿ࡋ࡞ࡀࡽ➹⪅ࡽࡢ⤒㦂࡛ࡣ㸪⌧ሙᆅ⾲㠃࡛ࡢ᣺ ືᐇ ࡟࠾࠸࡚㸪㕲㐨࠿ࡽࡢ㊥㞳ࡀ㐲࠸Ⅼࡢ᪉ࡀ㏆࠸ Ⅼ࡟ẚ࡭᣺ືࡀ኱ࡁ࠸ሙྜࡶ࠶ࡿ㢖ᗘ࡛ࡳࡽࢀࡿࠋࡲ ࡓ㸪ᮺᇶ♏ࡢᘓ≀࡛ࡣᅛయ㡢ࡀ኱ࡁࡃ࡞ࡿഴྥࢆ♧ࡋ ࡚࠸ࡿࠋࡍ࡞ࢃࡕ㸪ᆅୗ᪉ྥ࡟ᑐࡋ࡚ࡣ༢⣧࡞㊥㞳ῶ ⾶ᘧࡀᡂࡾ❧ࡓ࡞࠸ྍ⬟ᛶࡀ࠶ࡿࠋ ࡑࡇ࡛ᮏ◊✲࡛ࡣ㸪㊥㞳ῶ⾶௨እ࡟ᆅ┙ෆ࡛ࡢ᣺ື ఏᦙ࡟ᙳ㡪ࢆ୚࠼ࡿせ⣲࡜ࡋ࡚㸪ࢺࣥࢿࣝ࠿ࡽࡢ᣺ື ఏᦙࡢᣦྥ≉ᛶࢆྲྀࡾୖࡆ㸪ᩘ್ィ⟬࡟ࡼࡾ᳨ウࡋࡓ ⤖ᯝࢆሗ࿌ࡍࡿࠋ   ᳨ウ᪉ἲ 㕲㐨ࢺࣥࢿࣝ࠿ࡽࡢᅛయ㡢㡿ᇦࡢ᣺ືఏᦙࡢᣦྥ≉ ᛶࢆ᳨ウࡍࡿࡓࡵ㸪ᆅ୰῝ࡃ࡟࠶ࡿ༢⥺ࢺࣥࢿࣝࡢୗ 㠃ࢫࣛࣈ࡟⾪ᧁຍ᣺ຊࢆ୚࠼ࡓሙྜࢆ᝿ᐃࡋ㸪2 ḟඖࡢ ᭷㝈せ⣲ἲ㸦FEM㸧࡟ࡼࡾ᫬้Ṕᛂ⟅ゎᯒࢆ⾜ࡗࡓࠋ ᛂ⟅ィ⟬࡟ࡣ㸪ᕷ㈍ࡢỗ⏝ FEM ࢯࣇࢺ࢚࢘࢔ࢆ⏝࠸࡚ ࠸ࡿࠋ ゎᯒࣔࢹࣝᅗࢆᅗ 1 ࡟♧ࡍࠋᕥྑᑐ⛠ࡢ 2 ḟඖࣔࢹ ࡛ࣝ࠶ࡿࠋࢺࣥࢿࣝ࡜ࡋ࡚ࡣ㸪ࢩ࣮ࣝࢻࢺࣥࢿࣝࢆ᝿ ᐃࡋࡓࠕ෇ᙧࢺࣥࢿࣝࠖ㸪㛤๐࡟ࡼࡿࢺࣥࢿࣝࢆ᝿ᐃࡋ ࡓࠕ▴ᙧࢺࣥࢿࣝࠖࡢ 2 ✀ࢆタᐃࡋࡓࠋᆅ┙ࡣ㸪⡆༢ ࡢࡓࡵ㸪༢ᒙࡢ↓㝈ᙎᛶయࢆ᝿ᐃࡋࡓࠋ ィ⟬ᑐ㇟ࡢ࿘Ἴᩘ⠊ᅖࡣ 10㹼100Hz ࡜ࡋ㸪㐺ษ࡞࣓ ࢵࢩࣗࢧ࢖ࢬ࠾ࡼࡧ᫬㛫้ࡳࢆタᐃࡋࡓࠋィ⟬᫬㛫㛗 ࡣ 0.3 ⛊㛫࡛㸪⥺ᙧゎᯒࢆ⾜ࡗࡓࠋ ῶ⾶ࡣ㸪࣮࣮ࣞࣜῶ⾶࡜ࡋ㸪ᆅ┙࣭ࢥࣥࢡ࣮ࣜࢺ࡜ ࡶྠࡌ್ࢆタᐃࡋࡓࠋᅗ 2 ࡟ῶ⾶ẚࡢ࿘Ἴᩘ≉ᛶࢆ♧ ࡍࠋィ⟬࿘Ἴᩘ⠊ᅖ࡛ 0.01 ⛬ᗘ࡜࡞ࡿࡼ࠺࡟タᐃࡋࡓࠋ ຍ᣺ຊࡣ㸪ୗᘧ࡟♧ࡍ࢞࢘ࢫࣃࣝࢫࢆ⏝࠸ࡓࠋ ᘓ⠏ᮏ㒊 ᢏ⾡㒊 㡢㡪࣭㟁☢⎔ቃ G  ᘓ⠏ᮏ㒊 ᢏ⾡㒊 ᣺ືᢏ⾡ G 57 * 建築本部 技術部 音響・電磁環境 G ** 建築本部 技術部 振動技術 G U.D.C 524.961

鉄道トンネルから発生する固体音領域の振動の

数値計算による検討

瀬戸山春輝

 豊嶋  学

** 57 東急建設技術研究所報 No.40

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݃ሺ–ሻ ൌ ߙ ͳ ߪξʹߨ݁ ିሺ௧ି௧బሻ ଶఙమ ൗ ࡑࡢ᫬㛫Ἴᙧࢆᅗ 3 ࡟♧ࡍࠋȪ=0.0015 ࡜ࡋ㸪ࣆ࣮ࢡ ್ࡀ 1000N ࡜࡞ࡿࡼ࠺Șࢆタᐃࡋࡓࠋࡲࡓ㸪50ms ࡟ຍ ᣺ຊࡢࣆ࣮ࢡࡀ᮶ࡿࡼ࠺࡟タᐃ㸦t0=0.05㸧ࡋࡓࠋࡑࡢ ࣇ࣮࢚ࣜࢫ࣌ࢡࢺࣝࡢࢹࢩ࣋ࣝ⾲♧ࢆᅗ 4 ࡟♧ࡍࠋ10 㹼100Hz ࡛࠾ࡼࡑ 4dB ῶᑡࡍࡿ࿘Ἴᩘ≉ᛶ࡛࠶ࡿࠋ ᅗ ィ⟬ࣔࢹࣝ ᕥ෇ᙧࢺࣥࢿࣝྑ▴ᙧࢺࣥࢿࣝ ᅗ ῶ⾶ẚࡢ࿘Ἴᩘ≉ᛶ ᅗຍ᣺ຊ᫬㛫Ἴᙧ㸦࢞࢘ࢫࣃࣝࢫ㸧 ᅗຍ᣺ຊࡢ࿘Ἴᩘ≉ᛶ  ィ⟬⤖ᯝ࡜᳨ウ 75ms᫬Ⅼ(ຍ᣺ຊࣆ࣮ࢡࡢ 25ms ᚋ)࡟࠾ࡅࡿຍ㏿ᗘࣞ ࣋ࣝࡢⰍศࡅᅗࢆᅗ 5 ࠾ࡼࡧᅗ 6 ࡟♧ࡍࠋຍ㏿ᗘࣞ࣋ ࣝࡢᐃ⩏ᘧࢆୗᘧ࡟♧ࡍࠋ ܮ௔ൌ ʹͲ Ž‘‰ଵ଴ቌ ට஺ೣమା஺೤మ ஺బ ቍ [dB] ࡇࡇ࡛㸪AxࡣỈᖹ᪉ྥຍ㏿ᗘࢆ㸪Ayࡣ㖄┤᪉ྥຍ㏿ᗘ ࢆ♧ࡍࠋA0ࡣᇶ‽್ 10-5[m/s2]࡛࠶ࡿࠋ ᅗࢆぢࡿ࡜㸪Ἴ㏿ࡢ㏿࠸ P Ἴ㸦⦪Ἴ㸧ࡢᚋ࡟ S Ἴ 㸦ᶓἼ㸧ࡢ⥆ࡃ 2 㔜ࡢ෇≧࡟࡞ࡗ࡚࠸ࡿࠋࡲࡓ㸪ୖ᪉ ࡟ẚ࡭㸪ୗ᪉࡬ఏᦙࡍࡿ᣺ືࡀ኱ࡁ࠸ࡼ࠺࡟ぢ࠼ࡿࠋ ᅗຍ㏿ᗘࣞ࣋ࣝࢥࣥࢱ࣮ᅗ㸦෇ᙧࢺࣥࢿࣝ㸧 ᅗຍ㏿ᗘࣞ࣋ࣝࢥࣥࢱ࣮ᅗ㸦▴ᙧࢺࣥࢿࣝ㸧 ḟ࡟㸪ᅗ 1 ࡟♧ࡍᵝ࡟ࢺࣥࢿࣝ࠿ࡽ 20m 㞳ࢀࡓ఩⨨ ࡟ 15 ᗘ㛫㝸࡛᣺ືほ Ⅼࢆタᐃࡋ㸪᫬้ṔἼᙧࢆồࡵ ࡓࠋ  ෇ᙧࢺࣥࢿࣝࡢሙྜࡢ᣺ືຍ㏿ᗘࡢ᫬้ṔἼᙧࢆᅗ 7࡟♧ࡍࠋᕥᅗࡀ㖄┤᪉ྥࡢ᣺ື㸪ྑᅗࡀỈᖹ᪉ྥࡢ᣺ ື࡛࠶ࡿࠋ0rࡀࢺࣥࢿࣝ୰ᚰ࠿ࡽỈᖹ᪉ྥ㸪90rࡣ┿ ୖ㸪-90rࡣ┿ୗ᪉ྥࢆ♧ࡍࠋP Ἴࡢᚋ࡟ S Ἴࡀ⥆ࡃᵝ Ꮚࡀࢃ࠿ࡿࠋS Ἴࡢ᪉ࡀࣆ࣮ࢡ್ࡣ኱ࡁ࠸ࠋࡲࡓ㸪ࢺ ࣥࢿࣝഃ᪉࠾ࡼࡧୗ᪉ࡢ᪉ࡀ㸪ୖ᪉࡟ẚ࡭㸪᣺ືຍ㏿ ᗘࡀ኱ࡁ࠸ഴྥࡀࢃ࠿ࡿࠋ  ▴ᙧࢺࣥࢿࣝࡢሙྜ࡟ࡘ࠸࡚ᅗ 8 ࡟♧ࡍࠋ෇ᙧࢺࣥ ࢿࣝ࡜ྠᵝࡢഴྥ࡛࠶ࡿࡀ㸪෇ᙧࢺࣥࢿࣝ࡟ࡃࡽ࡭ୗ ᪉ࡢ᣺ືࡀ኱ࡁ࠸ഴྥࡀ㢧ⴭ࡛࠶ࡿࠋ འਙ୆ ੀ ৌูঔ ॹঝ  P ŹƖ PV ͻ NJP 嵅崊崥嵛ૻ ੖ဃங২ قঞشজش੖ဃͫ ͬ Hك ŹƖ PV ͻ NJP 嵅崊崥嵛ૻڮ ੖ဃங২ ਸஷ 崔崎崡崹嵓崡ك P 崛嵛崗嵒嵤崰ௐP  P আॵॳ ஷ৿௴೾ਡ འਙ ୆ੀ ৌูঔ ॹঝ  P ŹƖ PV ͻ NJP 嵅崊崥嵛ૻ ੖ဃங২ قঞشজش੖ဃͫ ͬ Hك ŹƖ PV ͻ NJP 嵅崊崥嵛ૻڮ ੖ဃங২ ਸஷ 崔崎崡崹嵓崡ك P ഓ 崛嵛崗嵒嵤崰ௐP  P আॵॳ ஷ৿௴೾ਡ 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0 20 40 60 80 100 120 140 ῶ⾶ ẚ ࿘Ἴᩘ Hz G% G% 東急建設技術研究所報 No.40 58

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ᅗ P Ⅼ࡟࠾ࡅࡿ᣺ືຍ㏿ᗘ᫬้ṔἼᙧ 㸦෇ᙧࢺࣥࢿࣝ㸧 ᅗ P Ⅼ࡟࠾ࡅࡿ᣺ືຍ㏿ᗘ᫬้ṔἼᙧ 㸦▴ᙧࢺࣥࢿࣝ㸧 ࡇࢀࡽࡢ᫬้ṔἼᙧࢆ 1/3 ࢜ࢡࢱ࣮ࣈศᯒࡋࡓࠋศᯒ ࡟ࡣ㸪RION 〇Ἴᙧฎ⌮ࢯࣇࢺ࢚࢘࢔ AS-70 ࢆ⏝࠸㸪 ༢Ⓨᭀ㟢ࣞ࣋ࣝࢆồࡵࡓࠋ 16Hz,31.5Hz,63Hz ࡢᖏᇦ࡟ࡘ࠸࡚㸪⤖ᯝࢆᅗ 9 ࠾ࡼ ࡧᅗ 10 ࡟♧ࡍࠋ㖄┤᪉ྥࡢ᣺ື㸪Ỉᖹ᪉ྥࡢ᣺ື࡜࡛ ศࡅ࡚♧ࡋࡓࠋ 㖄┤᪉ྥ᣺ືࡣ㸪෇ᙧࢺࣥࢿ࣭ࣝ▴ᙧࢺࣥࢿࣝ࡜ࡶ㸪 ࢺࣥࢿࣝୗ᪉ࡀ኱ࡁࡃ㸪ࢺࣥࢿࣝୖ᪉࡟ྥ࠿࠺࡟ࡘࢀ ᑠࡉࡃ࡞ࡿഴྥ࡛࠶ࡿࠋࡋ࠿ࡋ㸪༢ㄪ࡞ῶᑡ࡛ࡣ࡞ࡃ㸪 ࢺࣥࢿࣝᙧ≧ࡲࡓ࿘Ἴᩘ࡟ࡼࡾ≉ᛶ࡟㐪࠸ࡀぢࡽࢀࡿࠋ ෇ᙧࢺࣥࢿ࡛ࣝࡣ㸪┤ୗ (-90r)᪉ྥ࡛ࡣ࡞ࡃୗ᪉ -30r᪉ྥࡢ᣺ືࡀ᭱ࡶ኱ࡁࡃ㸪ୖ᪉࡟ྥ࠿ࡗ್࡚ࡀᑠ ࡉ ࡃ ࡞ࡿ ഴྥ࡛ ࠶ ࡿࠋ ࢺࣥࢿ ࣝ ୖ᪉ (90r)࡜ẚ࡭㸪 63Hz ࡛ 16dB㸪31.5Hz ࡛ 18dB㸪16Hz ࡛ࡣ 17dB ࡢᕪࡀ ࠶ࡿࠋ ▴ᙧࢺࣥࢿ࡛ࣝࡣ㸪࿘Ἴᩘ࡟ࡼࡾ᭱኱࠾ࡼࡧ᭱ᑠࢆ ࡜ࡿ᪉ྥࡀ␗࡞ࡿࠋ඲యⓗ࡟ぢࡿ࡜㸪ഃ᪉࣭ୗ᪉(0㹼 -90r᪉ྥ)ࡀ኱ࡁࡃ㸪ୖ᪉ 45㹼75r᪉ྥ࡛᭱ᑠ࡜࡞ࡿ ഴྥ࡛࠶ࡿࠋ᭱኱࡜᭱ᑠࡢᕪࡣ㸪63Hz ࡛ 15dB㸪31.5Hz ࡛ 23dB㸪16Hz ࡛ 20dB ࡛࠶ࡿࠋ  Ỉᖹ᪉ྥ᣺ືࡣ㸪ᕥྑᑐ⛠ࡢࣔࢹ࡛ࣝ࠶ࡿࡓࡵ㸪┿ ୗ(-90r)࡜┿ୖ(90r)࡛ࡣᕥྑࡀ஫࠸࡟ᡴࡕᾘࡋ࠶࠸᣺ ືࡀぢࡽࢀ࡞࠸ࠋ௚ࡢゅᗘ࡛ࡣ㸪ᶓ᪉ྥ(0㹼-15r᪉ྥ) ࡀᑠࡉ࠸ഴྥ࡛࠶ࡿࠋࡲࡓ㸪-60r᪉ྥࡸ 45r᪉ྥ࡞࡝ ᩳࡵ᪉ྥࡢ᣺ືࡀ኱ࡁ࠸ࠋࡓࡔࡋ㸪ࢺࣥࢿࣝୗ᪉ࡢ᪉ ࡀⱝᖸ᣺ືࡣ኱ࡁ࠸ࠋࡲࡓ㸪㖄┤᪉ྥ᣺ື࡜ྠᵝ࡟㸪 ࿘Ἴᩘ࠾ࡼࡧࢺࣥࢿࣝᙧ≧࡟ࡼࡾᕪ␗ࡀぢࡽࢀࡿࠋ᭱ ኱࡜᭱ᑠࡢᕪࡣ㸪෇ᙧࢺࣥࢿ࡛ࣝ 13㹼17dB㸪▴ᙧࢺࣥ ࢿ࡛ࣝ 12㹼24dB ࡢᕪࡀࡳࡽࢀࡿࠋ  ௨ୖࡢࡼ࠺࡟㸪㕲㐨ࢺࣥࢿࣝ࠿ࡽఏᦙࡍࡿᅛయ㡢㡿 ᇦࡢ᣺ືࡣ㸪ఏ㐩᪉ྥ࡟ࡼࡾ᭱኱࡛ 20dB ࡶࡢᕪ␗ࢆ⏕ ࡎࡿࡇ࡜ࡀ࠶ࡿ࡜ᛮࢃࢀࡿࠋࡲࡓ㸪ࡑࡢᣦྥ≉ᛶࡣ㸪 ࢺࣥࢿࣝᙧ≧࠾ࡼࡧ࿘Ἴᩘ࡟ࡼࡾኚ໬ࡍࡿࡇ࡜ࡀࢃ ࠿ࡗࡓࠋ  ࡲ࡜ࡵ 2 ḟඖ FEM ࢆ⏝࠸㸪ࢺࣥࢿࣝୗ㒊ࢫࣛࣈࢆ⾪ᧁຍ᣺ ࡋࡓሙྜ࡟ࢺࣥࢿࣝ࠿ࡽᆅ┙࡬ఏᦙࡍࡿᅛయ㡢㡿ᇦࡢ ᣺ືࡢ᫬้Ṕᛂ⟅ゎᯒࢆ⾜࠸㸪᫬้ṔἼᙧࢆ࿘Ἴᩘศ ᯒࡍࡿࡇ࡜࡛㸪᣺ືఏᦙࡢᣦྥ≉ᛶࢆᐃ㔞ⓗ࡟ホ౯ࡍ ࡿࡇ࡜ࡀ࡛ࡁࡓࠋ ࡑࡢ⤖ᯝ㸪㕲㐨ࢺࣥࢿࣝ࠿ࡽࡢ᣺ືఏᦙࡣ㸪ᴫࡡᩳ ࡵୗ᪉࡬ࡢఏ᧛ࡀ኱ࡁࡃ㸪ఏ㐩᪉ྥ࡟ࡼࡾ 20dB ௨ୖࡶ ࡢᕪ␗ࡀ࠶ࡿࡇ࡜ࢆ♧ࡋࡓࠋ ௨ୖ࠿ࡽ㸪ࢺࣥࢿࣝᩳࡵୗ᪉ࡢ῝࠸఩⨨࡟ᮺࡸᆅୗ ㌣యࡀ᪋ᕤࡉࢀࡿࡼ࠺࡞ᘓ≀ィ⏬ࡢሙྜ㸪ࡑࢀࡽ࠿ࡽ ఏࢃࡿ᣺ືࡀ኱ࡁࡃ࡞ࡿࡇ࡜ࡀᠱᛕࡉࢀࡿࠋ ௒ᚋࡣ㸪ࡼࡾᐇ㝿ⓗ࡞≧ἣ࡟ࡘ࠸࡚ゎᯒࢆ⾜࠸㸪㕲 㐨࠿ࡽࡢᅛయ㡢ᑐ⟇᳨ウ࡟㐺⏝ࡋ࡚࠸ࡁࡓ࠸ࠋ -0.39 -0.36 -0.33 -0.3 -0.27 -0.24 -0.21 -0.18 -0.15 -0.12 -0.09 -0.06 -0.03 0 0.03 0.05 0.1 0.15 㖄┤ ᪉ ྥ ᣺ື ຍ ㏿ ᗘ 䝺 䝧 䝹 [m/s 2 ] ᫬㛫 [s] ј 0.03 љ 90㼻 75㼻 60㼻 45㼻 30㼻 15㼻 0㼻 -15㼻 -30㼻 -45㼻 -60㼻 -70㼻 -90㼻 -0.39 -0.36 -0.33 -0.3 -0.27 -0.24 -0.21 -0.18 -0.15 -0.12 -0.09 -0.06 -0.03 0 0.03 0.05 0.1 0.15 Ỉ ᖹ ᪉ྥ ᣺ ືຍ㏿ ᗘ䝺䝧䝹 [m/s 2 ] ᫬㛫 [s] ј 0.03 љ 90㼻 75㼻 60㼻 45㼻 30㼻 15㼻 0㼻 -15㼻 -30㼻 -45㼻 -60㼻 -70㼻 -90㼻 -0.39 -0.36 -0.33 -0.3 -0.27 -0.24 -0.21 -0.18 -0.15 -0.12 -0.09 -0.06 -0.03 0 0.03 0.05 0.1 0.15 㖄┤ ᪉ ྥ ᣺ື ຍ ㏿ ᗘ 䝺 䝧 䝹 [m/s 2 ] ᫬㛫 [s] ј 0.03 љ 90㼻 75㼻 60㼻 45㼻 30㼻 15㼻 0㼻 -15㼻 -30㼻 -45㼻 -60㼻 -70㼻 -90㼻 -0.39 -0.36 -0.33 -0.3 -0.27 -0.24 -0.21 -0.18 -0.15 -0.12 -0.09 -0.06 -0.03 0 0.03 0.05 0.1 0.15 Ỉᖹ ᪉ ྥ ᣺ື ຍ ㏿ ᗘ 䝺 䝧 䝹 [m/s 2 ] ᫬㛫 [s] ј 0.03 љ 90㼻 75㼻 60㼻 45㼻 30㼻 15㼻 0㼻 -15㼻 -30㼻 -45㼻 -60㼻 -70㼻 -90㼻 東急建設技術研究所報 No.40 59

(4)

ᅗ P Ⅼ࡟࠾ࡅࡿ᣺ືຍ㏿ᗘࣞ࣋ࣝ 㸦෇ᙧࢺࣥࢿࣝ㸧 ᅗ P Ⅼ࡟࠾ࡅࡿ᣺ືຍ㏿ᗘࣞ࣋ࣝ 㸦▴ᙧࢺࣥࢿࣝ㸧 ㅰ ㎡ ࡈពぢࢆ࠸ࡓࡔ࠸ࡓྛ఩࡟ឤㅰࢆ࠸ࡓࡋࡲࡍࠋ ཧ⪃ᩥ⊩ 1) ໭ᮧ㐩ஓ࣭୰ἑᴁኴࡽ 㕲㐨࡟㏆᥋ࡋࡓ᣺ື⦆࿴ᒙࢆ᭷ࡍࡿᘓ≀ࡢᒣ␃ࡵィ⏬, ᪥ᮏᘓ⠏Ꮫ఍Ꮫ⾡ㅮ₇᱾ᴫ㞟, ᵓ㐀 I, pp681-684, 2013 2) ⩚ᰁṊ๎ ᆅୗ㌶㐨ୖ㒊࡟ィ⏬ࡉࢀࡓ⑓㝔࡬ࡢิ㌴᣺ືࡢᙳ㡪ண ࡜ᑐ⟇᳨ウ, ᪥ᮏ㦁㡢ไᚚᕤᏛ఍⛅Ꮨ◊✲Ⓨ⾲఍ㅮ₇ㄽᩥ㞟, pp65-68, 2008

NUMERICAL STUDY FOR GROUND-BORN SOUND FROM RAILWAY TUNNEL

H.Setoyama and M.Toyoshima

Response Analysis of ground-born sound from railway tunnels was conducted in 2-dimensional finite element method. Impact forces were given on the bottom surface of the tunnels. And octave analysis of the response was also conducted, which show the levels of the vibration acceleration for each direction. The results have revealed that the propagation of ground-born sound depends on direction, which deference is about 20dB, and on the whole that vibration acceleration obliquely below the tunnel is bigger than upper one.

Ͳ10 0 10 20 30 40 50 90 60 30 0 Ͳ30 Ͳ60 Ͳ90 ᣺ືຍ㏿ᗘ䝺 䝧 䝹 [dB ] ゅᗘ ୖ᪉ і0䠖Ỉᖹ ї ୗ᪉ 㖄┤᣺ືͲLEͲ20m㞳䜜 16Hz 31.5Hz 63Hz Ͳ10 0 10 20 30 40 50 90 60 30 0 Ͳ30 Ͳ60 Ͳ90 ᣺ືຍ㏿ᗘ䝺䝧 䝹 [d B ] ゅᗘ ୖ᪉ і0䠖Ỉᖹ ї ୗ᪉ Ỉᖹ᣺ືͲLEͲ20m㞳䜜 16Hz 31.5Hz 63Hz Ͳ10 0 10 20 30 40 50 90 60 30 0 Ͳ30 Ͳ60 Ͳ90 ᣺ືຍ㏿ᗘ䝺 䝧 䝹 [dB ] ゅᗘ ୖ᪉ і0䠖Ỉᖹ ї ୗ᪉ 㖄┤᣺ືͲLEͲ20m㞳䜜 16Hz 31.5Hz 63Hz Ͳ10 0 10 20 30 40 50 90 60 30 0 Ͳ30 Ͳ60 Ͳ90 ᣺ື ຍ㏿ᗘ䝺 䝧䝹 [d B ] ゅᗘ ୖ᪉ і0䠖Ỉᖹ ї ୗ᪉ Ỉᖹ᣺ືͲLEͲ20m㞳䜜 16Hz 31.5Hz 63Hz 東急建設技術研究所報 No.40 60

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