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システム同定を用いた非観測階の地震応答推定手法 ー単点参照・多自由度偏分反復法とモード重合法による地震応答解析ー

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U.D.C 624.07

 ࢩࢫࢸ࣒ྠᐃࢆ⏝࠸ࡓ㠀ほ 㝵ࡢᆅ㟈ᛂ⟅᥎ᐃᡭἲ 

㸫༢Ⅼཧ↷࣭ከ⮬⏤ᗘ೫ศ཯᚟ἲ࡜࣮ࣔࢻ㔜ྜἲ࡟ࡼࡿᆅ㟈ᛂ⟅ゎᯒ㸫

༓ⴥ ୍ᶞ

㸨 

㇏ᔱ Ꮫ

㸨 



せ ⣙㸸 ㏆ᖺ㸪኱ᆅ㟈Ⓨ⏕࡬ࡢ㜵⅏ᑐ⟇࡜ࡋ࡚௻ᴗ࡟ᑐࡍࡿ BCP㸦Business Continuity Plan㸸஦ᴗ⥅⥆ィ⏬㸧ࡢᙉ໬ࡀồࡵࡽࢀ࡚࠸

ࡿࠋࡋ࠿ࡋ࡞ࡀࡽ㸪ᣐⅬᘓ≀ࡢ⿕ᐖ≧ἣࢆ༶᫬࡟ᢕᥱࡍࡿࡇ࡜ࡣᐜ࡛᫆ࡣ࡞ࡃ㸪㌣యᵓ㐀ࡀෆ⿦࡟㞃ࢀ࡚࠸ࡿሙྜࡸ㸪㉸㧗ᒙᘓ ≀࡞࡝ࡢ኱つᶍᘓ⠏࡛࠶ࢀࡤ≉࡟㸪⿕ᐖㄪᰝ࡟ከࡃࡢ᫬㛫ࢆせࡍࡿࡇ࡜ࡀㄢ㢟࡜ࡋ࡚ᣲࡆࡽࢀࡿࠋࡑࡇ࡛㸪ᆅ㟈Ⓨ⏕ᚋ㸪㎿㏿࡟ ᣐⅬᘓ≀ࡢ⿕ᐖ≧ἣࢆᢕᥱࡍࡿࡇ࡜ࢆ┠ⓗ࡜ࡋࡓ㸪ᆅ㟈ほ ࢆ฼⏝ࡋࡓ⿕⅏ᗘุᐃࢩࢫࢸ࣒ࡢ㟂せࡀ㧗ࡲࡗ࡚࠸ࡿࠋᮏ◊✲࡛ࡣ㸪 ほ ⿦⨨ࢆฟ᮶ࡿࡔࡅᏳ౯࡟ᑟධࡍࡿࡓࡵほ 㝵ࢆཝ㑅ࡋࡓほ ࢩࢫࢸ࣒ࢆ๓ᥦ࡜ࡋ࡚࠾ࡾ㸪㠀ほ 㝵ࢆྵࡵࡓᘓ≀඲యࡢᆅ㟈 ᫬ᣲືࢆ᥎ᐃࡍࡿゎᯒᡭἲࡢᵓ⠏ࡀㄢ㢟࡜࡞ࡗ࡚࠸ࡿࠋᮏሗ࡛ᥦ᱌ࡍࡿゎᯒᡭἲࡣ㸪೫ศ཯᚟ἲࢆ฼⏝ࡋࡓࢩࢫࢸ࣒ྠᐃ࡟ࡼࡾ ᆅ㟈ᛂ⟅᫬ࡢ࣮ࣔࢲࣝࣃ࣓࣮ࣛࢱࢆྲྀᚓࡋ㸪࣮ࣔࢻ㔜ྜἲ࡟ࡼࡿᆅ㟈ᛂ⟅ゎᯒ࠿ࡽྛ㝵ࡢᒙ㛫ኚᙧゅࢆ᥎ᐃࡍࡿࡶࡢ࡛࠶ࡿࠋᆅ ୖ 13 㝵ᘓ SRC 㐀ᘓ≀ࡢᆅ㟈ほ ⤖ᯝࡸ㸪㗰〇 5 ᒙヨ㦂యࡢ᣺ືྎᐇ㦂⤖ᯝࢆศᯒᑐ㇟࡜ࡋ࡚ᥦ᱌ᡭἲࡢ᳨ドゎᯒࢆ⾜ࡗࡓ⤖ᯝ㸪 ᐇ ⤖ᯝ࡜ᴫࡡᩚྜࡍࡿ⤖ᯝࡀᚓࡽࢀ㸪ᮏᥦ᱌ᡭἲࡢ᭷⏝ᛶࢆ☜ㄆࡋࡓࠋ 㺕㺎㺺㺎㺢㺼㸸  ᆅ㟈ほ 㸪⿕⅏ᗘุᐃࢩࢫࢸ࣒㸪࿘Ἴᩘᛂ⟅㛵ᩘ㸪࣮ࣔࢻ㔜ྜἲ㸪ᅛ᭷᣺ືᩘ㸪ῶ⾶ᐃᩘ㸪่⃭㛵ᩘ ┠ ḟ㸸  ࡣࡌࡵ࡟                      ᥦ᱌ࡍࡿᆅ㟈ᛂ⟅᥎ᐃᡭἲࡢ᳨ドゎᯒ      㠀ほ 㝵ࢆྵࡵࡓᘓ≀඲యࡢᆅ㟈ᛂ⟅᥎ᐃᡭἲ     ࡲ࡜ࡵ                                   ࡣࡌࡵ࡟  ◊✲ࡢ⫼ᬒ  ᮾᾏ࣭ᮾ༡ᾏ࣭༡ᾏᆅ㟈ࡢ୕㐃ືᆅ㟈ࡸ㤳㒔┤ୗᆅ 㟈ࡢⓎ⏕ࡀᠱᛕࡉࢀ࡚࠾ࡾ㸪௻ᴗྛ♫࡟ᑐࡍࡿ BCP 㸦Business Continuity Plan㸸஦ᴗィ ィ⏬㸧ࡢᙉ໬ࡸ㸪 ၟᴗ᪋タࡸබඹ᪋タ࡟࠾ࡅࡿ㑊㞴⪅࣭ᖐᏯᅔ㞴⪅ࡢᨭ ᥼ィ⏬⟇ᐃ㸪ࡉࡽ࡟ࡣ㒔ᕷ࡛ࣞ࣋ࣝࡢࣞࢪ࢚ࣜࣥࢫྥ ୖࡀồࡵࡽࢀ࡚࠸ࡿࠋ  ᆅ㟈Ⓨ⏕ᚋ㸪ฟ᮶ࡿࡔࡅ᪩ࡃᖹᖖᴗົ࡟᚟ᖐࡍࡿࡓ ࡵ㸪஦ᴗ⪅ࡸᘓ≀ᡤ᭷⪅ࡲࡓᘓ≀⟶⌮⪅ࡣ㸪ࠕ㑊㞴せ ྰࠖࡸࠕᘓ≀⥅⥆౑⏝ྍྰࠖࢆ㎿㏿࠿ࡘ㐺ษ࡟ุ᩿ࡋ ࡞ࡅࢀࡤ࡞ࡽ࡞࠸ࠋࡋ࠿ࡋ࡞ࡀࡽ㸪ᘓ≀ࡢ⿕ᐖ≧ἣࢆ ༶᫬࡟ᢕᥱࡍࡿࡇ࡜ࡣᐜ࡛᫆ࡣ࡞ࡃ㸪㌣యᵓ㐀ࡀෆ⿦ ࡟㞃ࢀ࡚࠸ࡿሙྜࡸ㸪㉸㧗ᒙᘓ≀࡞࡝ࡢ኱つᶍᘓ⠏࡛ ࠶ࢀࡤ≉࡟㸪⿕ᐖㄪᰝ࡟ከࡃࡢ᫬㛫ࢆせࡍࡿࡇ࡜ࡀㄢ 㢟࡜ࡋ࡚ᣲࡆࡽࢀࡿࠋ  ࡇ࠺ࡋࡓ⫼ᬒࡢ୰㸪㏆ᖺ࡛ࡣᆅ㟈ほ ࢆᛂ⏝ࡋࡓ⿕ ⅏ᗘุᐃࢩࢫࢸ࣒ࡢ㟂せࡀ㧗ࡲࡗ࡚࠸ࡿࠋᆅ㟈Ⓨ⏕ᚋ ᩘศ࡛ฟຊࡉࢀࡿ⿕⅏ᗘุᐃ⤖ᯝࢆ஦ᴗ⪅ࡽࡀά⏝ࡍ ࡿ࡟ࡼࡾ㸪⅏ᐖ᫬ุ᩿ࢆ㎿㏿໬ࡍࡿࠋ᪤࡟㒔ෆ࡟ᡤᅾ ࡍࡿ࠸ࡃࡘ࠿ࡢ㉸㧗ᒙᘓ≀࡟ࡣᐇ⿦ࡉࢀ࡚࠾ࡾ㸪2011 ᖺᮾ໭ᆅ᪉ኴᖹὒἈᆅ㟈࡛ࡢά⏝஦౛ࡀሗ࿌ࡉࢀ࡚࠸ ࡿ 1)ࠋࡲࡓᆅ㟈ほ ࡟౑⏝ࡉࢀࡿຍ㏿ᗘࢭࣥࢧࡢప౯ ᱁໬ࡀ㐍ࡳ㸪ᚎࠎ࡟୍⯡࡟౑⏝ࡉࢀࡿタഛᶵჾ࡬࡜ỗ ⏝ᛶࡀᣑ኱ࡋ࡚࠸ࡿࡇ࡜ࡶ㏣࠸㢼࡜࡞ࡗ࡚࠸ࡿࠋ  ◊✲ࡢ┠ⓗ  ᘓ≀⿕⅏ᗘࡸ⿕ᐖ⛬ᗘࢆỴࡵࡿุᐃᣦᶆࡣᵝࠎ࠶ࡿ ࡀ 2)㸪3)㸪ᵓ㐀≀ࡢᵓ㐀ᛶ⬟ホ౯࡟ࡣᒙ㛫ኚᙧゅ࡟ࡼࡿ ᣦᶆࡀᢅ࠸ࡸࡍࡃ㸪⪏㟈タィ࡛᝿ᐃࡍࡿᦆയ㝈⏺ࡸᏳ ඲㝈⏺࡜ࡢẚ㍑࡟ࡶ⨨ࡁ᥮࠼ࡿࡇ࡜ࡀ࡛ࡁࡿࠋ  ᆅ㟈ほ ࠿ࡽ㸪┤᥋㸪ᘓ≀ࡢᒙ㛫ኚᙧゅࢆồࡵࡿࡓ ࡵ࡟ࡣ㸪ྛ㝵࡟ຍ㏿ᗘࢭࣥࢧࢆタ⨨ࡍࡿᚲせࡀ࠶ࡿࠋ ࡋ࠿ࡋ㸪ᘓ≀つᶍࡀ኱ࡁࡃ࡞ࢀࡤ㸪ࢭࣥࢧࡢྎᩘࡀቑ ຍࡍࡿࡓࡵ㸪ほ ⿦⨨⮬యࡢᑟධࢥࢫࢺࡀ㐣኱࡟࡞ࡾ㸪 ⤒῭ⓗ࡞㈇ᢸࡀ኱ࡁࡃ࡞ࡿࡇ࡜ࡀண᝿ࡉࢀࡿࠋ  ࡑࡇ࡛ᮏ◊✲࡛ࡣ㸪ฟ᮶ࡿ㝈ࡾᏳ౯࡟ほ ⿦⨨ࢆᑟ ධࡍࡿࡇ࡜ࢆ┠ⓗ࡜ࡋ࡚㸪ほ 㝵ࢆཝ㑅ࡋ㸪㠀ほ 㝵 ࡢᆅ㟈ᛂ⟅ࢆゎᯒ࡟ࡼࡾ⿵㛫ࡍࡿ௙⤌ࡳࢆᣢࡗࡓ⿕⅏ ᗘุᐃࢩࢫࢸ࣒ࡢ㛤Ⓨࢆ⾜ࡗ࡚࠸ࡿࠋ  ᮏሗ࡛ࡣ㸪㠀ほ 㝵ࢆྵࡵࡓᘓ≀඲యࡢᆅ㟈ᛂ⟅ࢆ ᥎ᐃࡍࡿᡭἲ࡜ࡋ࡚㸪೫ศ཯᚟ἲࢆά⏝ࡋࡓࢩࢫࢸ࣒ ྠᐃ࡜㸪࣮ࣔࢻ㔜ྜἲ࡟ࡼࡿᆅ㟈ᛂ⟅ゎᯒࢆ⤌ࡳྜࢃ ࡏࡓゎᯒᡭἲࢆᥦ᱌ࡍࡿࠋࡲࡓᥦ᱌ᡭἲࡢ᭷⏝ᛶࢆ☜ ㄆࡍࡿࡓࡵ㸪ᆅୖ 13 㝵ᘓ SRC 㐀ᘓ≀࡛ࡢᆅ㟈ほ ࡜㸪 㗰〇 5 ᒙヨ㦂యࡢ᣺ືྎᐇ㦂ࡢྛ஦౛࠿ࡽᚓࡽࢀࡓᐇ  ࢹ࣮ࢱࢆ⏝࠸᳨࡚ドゎᯒࢆ⾜࠺ࠋࡇࡇ࡛㸪⌧ẁ㝵࡛ ࡢᥦ᱌ᡭἲࡣ㸪⥺ᙧᛂ⟅ࢆ᮲௳࡜ࡋ࡚㸪㠀⥺ᙧᛂ⟅࡟ ᑐᛂࡋ࡚࠸࡞࠸ࡀ㸪⥅⥆◊✲ࡢ୰࡛ᑗ᮶ⓗ࡟ᑐᛂࡍࡿ ᪉㔪࡜ࡋ࡚࠸ࡿࠋ࡞࠾ᮏሗࡣ㸪᪤ሗ 4)࡟ຍ➹ಟṇࢆຍ ࠼ࡲ࡜ࡵࡓࡶࡢ࡛࠶ࡿࠋ ᢏ⾡◊✲ᡤ᣺ື࣭㡢㡪ࢢ࣮ࣝࣉ* 技術研究所 振動・音響グループ U.D.C 624.07

システム同定を用いた非観測階の地震応答推定手法

−単点参照・多自由度偏分反復法とモード重合法による地震応答解析−

千葉 一樹

 豊嶋  学

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%  5)              㠀ほ 㝵ࢆྵࡵࡓᘓ≀඲యࡢᆅ㟈ᛂ⟅᥎ᐃᡭἲ  ᮏሗ࡛ᥦ᱌ࡍࡿᘓ≀඲యࡢᆅ㟈ᛂ⟅᥎ᐃᡭἲࡢゎᯒ ࣇ࣮ࣟࢆᅗ 1 ࡟♧ࡋࡓࠋࢭࣥࢧࢆタ⨨ࡋࡓほ 㝵ࢆᑐ ㇟࡟㸪༢Ⅼཧ↷ࡢከ⮬⏤ᗘ೫ศ཯᚟ἲࢆ⏝࠸ࡓࢩࢫࢸ ࣒ྠᐃࢆ㐺⏝ࡋ㸪ᑐ㇟ᘓ≀ࡢ࣮ࣔࢲࣝࣃ࣓࣮ࣛࢱࢆྠ ᐃࡋࡓᚋ㸪࣮ࣔࢻ㔜ྜἲࢆ⏝࠸ࡓᆅ㟈ᛂ⟅ゎᯒ࡟ࡼࡗ ࡚㠀ほ 㝵ࢆྵࡵࡓᘓ≀඲యࡢᆅ㟈ᛂ⟅ࢆ᥎ᐃࡍࡿࠋ  ከ⮬⏤ᗘ࿘Ἴᩘᛂ⟅㛵ᩘࡢࣔࢹࣝ໬  ᮏሗ࡛ࡣᑐ㇟ᘓ≀ࢆࡏࢇ᩿⣔㉁Ⅼࣔࢹࣝ࡟௬ᐃࡋ 㸦ᅗ 2㸧㸪ゎᯒࣔࢹࣝ j ᒙ࡟࠾ࡅࡿከ⮬⏤ᗘ࿘Ἴᩘᛂ⟅ 㛵ᩘHj

Z ࢆᘧ(1)㸪ᘧ(2)࡛⾲ࡋࡓࠋ

(

) 1 j s s N s j s j H U H Z

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Zu E˜ (1)

1 2 2 2 2  ˜ ˜   h i H s s s j s Z Z Z Z Z Z (2) 㸦sHj Z㸸s ḟ࿘Ἴᩘᛂ⟅㛵ᩘ㸪Z㸸እຊ෇᣺ືᩘ㸪ssUj㸸s ḟ j ᒙ่ ⃭㛵ᩘ㸪sZ㸸s ḟᅛ᭷෇᣺ືᩘ㸪sh㸸s ḟ࣮ࣔࢻῶ⾶ᐃᩘ㸧  ほ 㝵ࡢఏ㐩㛵ᩘ⟬ᐃ  ᆅ㟈ほ ࠿ࡽᚓࡽࢀࡓຍ㏿ᗘἼᙧࢆ FFT ゎᯒࡋ㸪ྠ ᐃᑐ㇟㝵ࡢධฟຊࢫ࣌ࢡࢺࣝẚ࠿ࡽఏ㐩㛵ᩘ j(Z) obs TR ࢆ ồࡵࡿࠋࡇࡇ࡛ FFT ࡢゎᯒࢹ࣮ࢱᩘࡣᚋ⥆ࡢ 0 ࢆ㏣ຍ ࡋ࡚⥅⥆᫬㛫ࡢ 2 ಸࢆໟᣓࡍࡿ 2 ࡢ⣼஌ࢹ࣮ࢱᩘ࡜ࡋ ࡓࠋゎᯒ๓ฎ⌮࡜ࡋ࡚ࡣ㸪ศᯒᑐ㇟Ἴᙧࡢ๓ᚋ 10%༊ 㛫࡟ cosine ࢸ࣮ࣃ࣮ฎ⌮ࢆ᪋ࡋࡓࠋࡲࡓ㐺ᐅ Hanning Window࡟ࡼࡿࢫ࣌ࢡࢺࣝࡢᖹ⁥໬ࢆ᪋ࡋ࡚㸪ࢫ࣌ࢡࢺ ࣝࡢࣆ࣮ࢡࡀ᫂░໬ࡍࡿࡼ࠺࡟ㄪᩚࡋࡓࠋ  ࣮ࣔࢲࣝࣃ࣓࣮ࣛࢱࡢࢩࢫࢸ࣒ྠᐃ  ᮏሗ࡛ࡣ㸪ྠᐃࡍࡿ࣮ࣔࢲࣝࣃ࣓࣮ࣛࢱࢆᅛ᭷෇᣺ ືᩘsZ࣭ῶ⾶ᐃᩘsh่࣭⃭㛵ᩘssUj࡟タᐃࡋ㸪ྛほ  㝵ࡢఏ㐩㛵ᩘࢆಶู࡟ྠᐃࢆࡍࡿ༢Ⅼཧ↷࣭ከ⮬⏤ ᗘ೫ศ཯᚟ἲ࡟ࡼࡿࢩࢫࢸ࣒ྠᐃ5)ࢆ᥇⏝ࡋࡓࠋ  ೫ศ཯᚟ἲࡣ㸪㠀⥺ᙧ᭱ᑠ஧஌ἲࡢྂ඾ⓗᡭἲ࡛࠶ ࡾ Gauss-Newton ἲ࡜ྠ➼࡞ィ⟬ᡭἲ࡛࠶ࡿࠋ㐺ษ࡟ึ ᮇ್ࢆタᐃࡋ࡞࠸࡜ゎࡀ཰᮰ࡋ࡞࠸ࡇ࡜ࡸ㸪ࣃ࣓࣮ࣛ ࢱࡢ᥎ᐃ⢭ᗘࡀᝏࡃ࡞ࡿࡇ࡜ࡀㄢ㢟࡛࠶ࡿࡀ㸪୍⯡ⓗ ࡟ࡣ 1 ⮬⏤ᗘἲࡢ࣮ࣔࢻ෇㐺ྜἲࡸ᫬㛫㡿ᇦ࡛⥺ᙧ᭱ ᑠ஧஌ἲࢆゎࡃࣉࣟࢽ࣮ࡢ᪉ἲ 5)࡞࡝ࢆ」ྜࡋ㸪ึᮇ ್ࡢ஦๓ィ⟬ࢆࡍࡿࡇ࡜࡛ィ⟬⢭ᗘࢆಖ㞀ࡍࡿࠋᮏሗ ࡛ࡣ㸪ᵓ㐀タィ㈨ᩱࡸ஦๓ィ ࡟ࡼࡾ㐺ษ࡞ึᮇ್ࢆ ྲྀᚓࡍࡿࡇ࡜ࢆ๓ᥦ࡜ࡋ࡚ゎᯒࣇ࣮ࣟࢆᵓ⠏ࡋ࡚࠸ࡿࠋ  ほ グ㘓࠿ࡽᚓࡽࢀࡓఏ㐩㛵ᩘ j(Z) obs TR ࡜࿘Ἴᩘᛂ⟅ 㛵ᩘHj

Z ࡜ࡢㄗᕪ஧஌࿴ࡀ᭱ᑠ࡜࡞ࡿࡼ࠺㸪࣮ࣔࢲࣝ ࣃ࣓࣮ࣛࢱ࣋ࢡࢺࣝa㸦ᘧ(3)㸧ࡢึᮇ್a0࡟ᑐࡋ࡚Gak 㸦ᘧ(9)㸧ࡢኚືࢆ୚࠼࡞ࡀࡽnᅇ⧞㏉ࡋィ⟬㸦ᘧ(4)㸧 ࢆ⾜࠸㸪akࡢ཰᮰್ࢆồࡵࡿࠋ

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T s s j s s j U h h U a 11 ,, E˜ ,1Z,, Z,1 ,, (3) k k k a a a 1G 㸦k 1~n࡜ࡍࡿࠋ㸧 (4)  ࡲࡓ j(Z) obs TRHj(Z)ࡀ1~mಶࡢ」⣲ᩘ࠿ࡽᵓᡂࡉࢀ ࡿࡶࡢ࡜ࡋ࡚㸪ࡑࢀࡒࢀᐇ㒊࣭⹫㒊࡟ศࡅ࡚࣋ࢡࢺࣝ 㓄ิࡍࡿࠋ I R j obsTR(f) E E (5) I R j R R H (Z)  (6)

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T m I R m R E E E E E 1,, , 1,, (7)

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T m I R m R R R R R R 1,, , 1,, (8) ᮍ▱࣋ࢡࢺࣝኚື㔞G ࡣୗグࡢ㛵ಀᘧ࡟ࡼࡗ࡚ồࡵࡿࠋ ak

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1    ¸ ¹ · ¨ © § w w k T k W E Ra a a R b (11) ࡇࡇ࡛Wࡣ㔜ࡳ㛵ᩘ࡛࠶ࡾ㸪௨ୗࡢ⾜ิ࡛♧ࡉࢀࡿࠋ

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m I R m R W W W W diag W 1,, , 1,, (12) 㔜ࡳ㛵ᩘࡣ㸪㔜ࡳ㛵ᩘࢆタᐃࡋ࡞࠸ሙྜ㸦ᘧ(13)㸧㸪ఏ 㐩㛵ᩘࡢ⤯ᑐ್㸪ࡲࡓࡣ 2 ஌್ࡢ㏫ẚ౛࡟ࡼࡿタᐃ 㸦ᘧ(14)㸧㸪ධฟຊ㛵ಀࡢࢥࣄ࣮ࣞࣥࢫ㛵ᩘ࡟ࡼࡿタᐃ 㸦ᘧ(15)㸧ࡢ 3 ࡘ࠿ࡽ㐺ᐅ㑅ᢥࡋ㸪཰᮰ィ⟬ࢆ⾜࠺ࠋ ᅗ  㠀ほ 㝵ࡢᆅ㟈ᛂ⟅᥎ᐃᡭἲࣇ࣮ࣟ ධฟຊ ຍ㏿ᗘグ㘓 ఏ㐩㛵ᩘ FFTゎᯒ ධฟຊࢫ࣌ࢡࢺࣝẚ ஦๓ィ  ᵓ㐀タィ㈨ᩱ ࣮ࣔࢲࣝࣃ࣓࣮ࣛࢱ 㑅ᢥḟᩘึᮇ್ ከ⮬⏤ᗘ ࿘Ἴᩘᛂ⟅㛵ᩘ ೫ศ཯᚟ἲ ᅛ᭷෇᣺ືᩘ ῶ⾶ᐃᩘ ่⃭㛵ᩘ Hanning Window ධຊ㸸Acc0 ฟຊ㸸Accj, ͐ ,AccRF ࣮ࣔࢲࣝࣃ࣓࣮ࣛࢱ ྠᐃ್ ྠᐃḟᩘ㑅ᢥ ࣮ࣔࢻ㔜ྜἲ ྛḟྛ㝵 ่⃭㛵ᩘ⾜ิ ྛ㝵ᆅ㟈ᛂ⟅ ᅗ  ᘓ≀ほ ࣔࢹࣝᴫせᅗ

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0 . 1 m W (13) n m E W 1  㸦n=1 or 2㸧 (14) 2 2 2 1 ) ( 1 ) ( E Coh Coh Wm ˜  Z Z (15) ¸ ¹ · ¨ © § w w a R ࡣࡍ࡭࡚ࡢ࣮ࣔࢲࣝࣃ࣓࣮ࣛࢱ

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a ࡟ࡼࡗ࡚೫ᚤศ ࡋࡓ 2m ⾜ 3s ิࡢࣖࢥࣅ࢔ࣥ⾜ิ㸦ᘧ(16)㸧࡜࡞ࡿࠋ » » » » » » » » » » » » » ¼ º « « « « « « « « « « « « « ¬ ª w w w w w w w w ˜ w w ˜ w w w w w w w w w w ˜ w w ˜ w w w w w w w w w w ˜ w w ˜ w w w w w w w w w w ˜ w w ˜ w w ¸ ¹ · ¨ © § w w h R h R R R U R U R h R h R R R U R U R h R h R R R U R U R h R h R R R U R U R a R s R m R m s I m I m j s s I m j I m s I I s I I j s s R j I s R m R m s R m R m j s s R m j R m s R R s R R j s s R j R                         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( Z Z E E Z Z E E Z Z E E Z Z E E (16) ᮏᡭἲ࡟࠾ࡅࡿࣖࢥࣅ࢔ࣥ⾜ิࡢྛせ⣲ࡣᘧ(17)㹼(22) ࡢࡼ࠺࡟♧ࡉࢀࡿࠋ 2 2 2 2 2 2 4 ) 2 ( ) ( ) ( Z Z Z Z Z Z Z E   ˜ ˜ ˜   ˜ w w s s s s j s s R s h U R (17) 2 2 2 2 3 ) 2 ( ) ( 2 ) ( Z Z Z Z Z Z E   ˜ ˜ ˜ ˜  ˜ w w s s s s s j s s I s h h U R (18)

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2 2 2 2 2 2 2 2 ) 2 ( ) ( ) 2 )( 2 ( ) ( 2 Z Z Z Z Z Z Z Z Z Z Z Z E Z   ˜ ˜ ˜   ˜   ˜ ˜  w w s s s s s s s s j s s s R s h h h U R

(19)

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2 2 2 2 2 2 3 ) 2 ( ) ( ) 2 ( ) )( 3 ( ) ( 2 Z Z Z Z Z Z Z Z Z Z Z E Z   ˜ ˜ ˜ ˜    ˜ ˜ w w s s s s s s s s j s s s I s h h h U R (20)

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2 2 2 4 2 ) 2 ( ) ( ) ( ) ( 8 Z Z Z Z Z Z Z Z E ˜ ˜    ˜ ˜ ˜  w w s s s s s s j s s s R s h h U h R (21)

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2 2 2 2 2 3 ) 2 ( ) ( ) 2 )( 2 ( ) ( 2 Z Z Z Z Z Z Z Z Z Z Z Z Z Z E ˜ ˜   ˜ ˜   ˜ ˜   ˜ ˜  w w s s s s s s s s s s j s s s I s h h h U h R (22)  ᘓ≀඲యࡢᆅ㟈ᛂ⟅᥎ᐃィ⟬  ᘓ≀᭱ୗᒙ࡟࡚ほ ࡋࡓຍ㏿ᗘグ㘓ࢆධຊἼ࡜ࡋ࡚㸪 ࢩࢫࢸ࣒ྠᐃ࠿ࡽồࡵࡓ࣮ࣔࢲࣝࣃ࣓࣮ࣛࢱࢆ౑⏝ࡋ ࡚࣮ࣔࢻ㔜ྜἲ6)࡟ࡼࡿᆅ㟈ᛂ⟅ゎᯒࢆ⾜࠸㸪㠀ほ  㝵ࢆྵࡵࡓᘓ≀඲యࡢᆅ㟈ᛂ⟅㸦ຍ㏿ᗘ࣭ኚ఩㸧ࢆ᥎ ᐃࡍࡿࠋࡇࡇ࡛ྛḟ࣮ࣔࢻ࡟࠾ࡅࡿᆅ㟈ᛂ⟅ࡢᇶᮏᘧ ࡣᘧ(23)ࡢࡼ࠺࡟♧ࡏࡿࠋ 0 2 2 h q q y q s s s s s s ˜ ˜Z˜ Z ˜  (23)  ᘧ(23)࡟ᆅ㟈ືy obsAcc

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E ˜ ˜  (26) ࡇࡇ࡛㠀ほ 㝵ࢆྵࡴྛḟྛ㝵ࡢ่⃭㛵ᩘssUjࡣ㸪 タィ㈨ᩱࢆඖ࡟⟬ฟࡋࡓ್ࢆึᮇ್࡜ࡋ࡚㸪ࢩࢫࢸ࣒ ྠᐃ࠿ࡽồࡵࡓ่⃭㛵ᩘ࡟ࡼࡾẚ౛ಸࡋ࡚⿵ṇࡍࡿࠋ  ᥦ᱌ࡍࡿᆅ㟈ᛂ⟅᥎ᐃᡭἲࡢ᳨ドゎᯒ  ᆅୖ  㝵ᘓ 65& 㐀ᘓ≀࡟ࡼࡿ᳨ド⤖ᯝ  ᐇᘓ≀ࡢᆅ㟈ほ ࡟࡚ᚓࡽࢀࡓほ グ㘓ࢆᑐ㇟࡜ࡋ ࡚㸪ᥦ᱌ᡭἲࡢ⢭ᗘ᳨ドࢆ᳨ウࡋࡓ⤖ᯝࢆሗ࿌ࡍࡿࠋ  ᑐ㇟ᘓ≀࡜ᆅ㟈ほ ᴫせ  㒔ෆ࡟ᡤᅾࡍࡿᆅୗ 2 㝵࣭ᆅୖ 13 㝵ࡢ㕲㦵㕲➽ࢥࣥ ࢡ࣮ࣜࢺ㐀ᘓ≀࡟࠾࠸࡚㸪2013 ᖺ 11 ᭶࠿ࡽᆅ㟈ほ ࢆ ᐇ᪋ࡋ࡚࠸ࡿࠋ  ほ ࡣ RF 㝵࣭7 㝵࣭B2 㝵ࢆほ 㝵࡟㑅ᐃ㸦ᅗ 3㸧ࡋ㸪 ຍ㏿ᗘࢭࣥࢧࢆタ⨨ࡋ࡚⾜ࡗ࡚࠸ࡿࠋ୰㛫㝵ࡢほ ࡟ ࡘ࠸࡚ࡣ㸪஦๓࡟ከⅬྠ᫬ᖖ᫬ᚤື ᐃࢆ⾜ࡗࡓ⤖ᯝ ࠿ࡽ㸪2 ḟ࣮ࣔࢻࡢ⭡ࡀ 7 㝵௜㏆࡟࡞ࡿࡇ࡜ࢆ☜ㄆࡋࡓ ୖ࡛ 7 㝵ࢆほ 㝵࡟㑅ᐃࡋࡓࠋຍ㏿ᗘࢭࣥࢧ࡟ࡣᐩኈ 㟁ᶵ♫〇ឤ᣺ࢭࣥࢧ㸦ຍ㏿ᗘ᳨ฟ:Ỉᖹ 2 ᡂศ࣭㖄┤ 1 ᡂศ㸪ィ ⠊ᅖ:±1.5G㸪࿘Ἴᩘᛂ⟅:0.1㹼50Hz㸪ศゎ⬟: Ỉᖹ 0.02gal㸪㖄┤ 0.07gal㸧ࢆ౑⏝ࡋࡓࠋ  ᮏᥦ᱌ᡭἲ᳨ド⏝࡟㸪2013 ᖺ 11 ᭶ 10 ᪥ 7 ᫬ 37 ศⓎ ⏕࡟Ⲉᇛ┴༡㒊ࢆ㟈※࡜ࡋ࡚Ⓨ⏕ࡋࡓ M5.5࣭᭱኱㟈ᗘ 5 ᙅࡢᘓ≀㛗㎶᪉ྥࡢᆅ㟈ほ グ㘓㸦ᅗ 4㸧ࢆ㑅ᐃࡋࡓࠋ  ࣮ࣔࢲࣝࣃ࣓࣮ࣛࢱࡢࢩࢫࢸ࣒ྠᐃ  ほ グ㘓ࡼࡾồࡵࡓఏ㐩㛵ᩘ࠿ࡽ㸪ບ㉳ࡉࢀ࡚࠸ࡿ 2 ḟ࣮ࣔࢻࡲ࡛ࢆྠᐃḟᩘ࡟タᐃࡋ㸪ࢩࢫࢸ࣒ྠᐃࢆ⾜ ࡗࡓࠋ㔜ࡳ㛵ᩘ࡟ࡘ࠸࡚ࡣ㸪ࡲࡎᘧ(14)ࢆ᥇⏝ࡋࡓᚋ㸪 ྲྀᚓࣃ࣓࣮ࣛࢱࢆึᮇ್࡜ࡋ࡚㸪෌ᗘ㸪ᘧ(13)ࢆ᥇⏝ࡋ ࡚ྠᐃィ⟬ࢆ⾜࠸㸪ྠᐃ⢭ᗘࡢྥୖࢆᅗࡗࡓࠋ  ほ 㝵࡛࠶ࡿ RF 㝵࣭7 㝵࡟ᑐࡋ࡚㸪ᆅ㟈ධຊࢆ᝿ᐃ ࡋ࡚࠸ࡿ B2 㝵࡜ࡢධฟຊ㛵ಀ࠿ࡽఏ㐩㛵ᩘࢆồࡵ㸪ࢩ %             3 3 3) 54.4 12.0 (m) 3.60 4.05 4.35 4.10 3.40 3.40 3.40 3.40 3.30 3.30 3.30 3.30 3.30 3.30 3.30 4.10 4.10 5.40 %  5) G.L. 5)㝵36ᐊ 㝵36ᐊ %㝵36ᐊ 㝵㺙㺎㺨㺼㺎㺷㺎㺯 Ⓨ㟁ᶵᐊ &2ᐊ (/9ࣆࢵࢺ ᤼Ỉ⁁ ࣟࢵ࣮࢝ᐊ ಴ᗜ %㝵ẁ Ύᤲဨ᥍ᐊ ಴ᗜ ㆙ഛဨ᥍ᐊ +㝵ẁ ⮬ື஺᥮ᶵᐊ ࢦ࣑ᅽ⦰ᶵᐊ '6 ࣏ࣥࣉᐊ 㠀ᖖ⏝(9 (9࣮࣍ࣝ ᐟ┤ᐊ )㝵ẁ ୰ኸ┘どᐊ ⬺⾰ᐊ ౽ᡤ 36 ఫᏯ౪⤥බ♫ᾎᐊ ಴ᗜ ㏻㊰ ኚ㟁ᐊ ≉㧗ᐊ $㝵ẁ ಴ᗜ ࣮࢝ࣜࣇࢺᶵᲔᐊ '6 ࣮࢝ࣜࣇࢺࣆࢵࢺᐊ ࣮࢝ࣜࣇࢺᶵᲔᐊ ࣎࢖࣮ࣛᐊ ࢜࢖ࣝࢱࣥࢡᐊ '6 6.30 6.30 6.30 6.30 6.30 6.30 6.30 7.20          6.00 6.00 6.00 7. 5 0 6.00 6. 00 $ % & ' ( ஦ົᐊ '6 36 ⏨Ꮚ౽ᡤ ዪᏊ౽ᡤ 㠀ᖖ⏝(9 (9 (9 (9࣮࣍ࣝ (9࣮࣍ࣝ %㝵ẁ 㜵↮༊⏬ 㜵↮༊⏬ 㜵↮༊⏬ 㜵↮༊⏬ ஦ົᐊ ᒇእᶵᲔᐊ ࢺࢵࣉࣛ࢖ࢺ ⤥‮ 83 '1 '183 (9 (9 (9 $㝵ẁ '6 6.00 6.00 7.50 6.00 6.00 $ % & ' '6 36 㟁Ẽᐊ 㠀ᖖ⏝(9 (9 (9 (9࣮࣍ࣝ '1 83 '1 83 ෭༷ሪ ෭༷ሪ %㝵ẁ (9 (9 (9 $㝵ẁ 6.0 0 6. 00 7. 50 6. 00 6. 00 $ % & ' 5)㝵 㝵 ஦ົᐊ '6 36 ⏨Ꮚ౽ᡤ ዪᏊ౽ᡤ 㠀ᖖ⏝(9 (9 (9 (9࣮࣍ࣝ (9࣮࣍ࣝ %㝵ẁ 㜵↮༊ ⏬ 㜵↮༊⏬ 㜵↮༊⏬ 㜵↮༊⏬ ஦ົᐊ ᒇእᶵᲔᐊ ࢺࢵࣉࣛ࢖ࢺ ⤥‮ 83 '1 '183 (9 (9 (9 $㝵ẁ '6 6.30 6.30 6.30 6.30 6.30 6.30 6.30 7.20          6. 00 6.00 7. 50 6. 00 6.00 $ % & ' (m) 㝵 %㝵 ឤ᣺ࢭࣥࢧ ไᚚࢩࢫࢸ࣒ /$1ࢣ࣮ࣈࣝ ▷㎶ ᪉ྥ 㛗㎶᪉ྥ ᅗ  ほ ⿦⨨タ⨨ᴫせ㸦ᆅୖ 13 㝵 SRC 㐀ᘓ≀㸧 ᅗ  ศᯒᑐ㇟ᆅ㟈ほ Ἴ㸦B2 㝵㛗㎶᪉ྥ㸧 12.31 -12.31 -15 -10 -5 0 5 10 15 0 5 10 15 20 25 30 Acc. ( g al ) time (s) 2013.11.10 07:37 Ⲉᇛ┴༡㒊M5.5

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ࢫࢸ࣒ྠᐃࢆ⾜ࡗࡓࠋᅗ 5 ࡟ RF 㝵/B2 㝵࡜ 7 㝵/B2 㝵 ࡢྠᐃ⤖ᯝࢆ♧ࡍࠋ  ᅗ 5 ࡼࡾ㸪ྠᐃ⤖ᯝࡣほ ⤖ᯝࡢ 1 ḟ࣭2 ḟ࡟࠾ࡅࡿ ఏ㐩㛵ᩘ㸪఩┦ᕪࢆ⢭ᗘⰋࡃᤊ࠼࡚࠾ࡾ㸪㐺ษ࡟ࢩࢫ ࢸ࣒ྠᐃࡀ⾜ࢃࢀ࡚࠸ࡿࡇ࡜ࡀ☜ㄆ࡛ࡁࡿࠋ  㠀ほ 㝵ࢆྵࡵࡓᆅ㟈ᛂ⟅᥎ᐃゎᯒ  ྛḟࡢᅛ᭷᣺ືᩘ࣭ῶ⾶ᐃᩘࡣ㸪RF 㝵࣭7 㝵࡛ࡢྠ ᐃ್ࢆᖹᆒࡋ࡚౑⏝ࡋࡓࠋ่⃭㛵ᩘ࡟ࡘ࠸࡚ࡣ㸪ᑐ㇟ ᘓ≀࡟࡚㐣ཤ࡟ᐇ᪋ࡉࢀࡓ⪏㟈デ᩿᫬࡟ᵓ⠏ࡋࡓ᣺ື ࣔࢹࣝࡢᅛ᭷್ゎᯒ⤖ᯝࢆึᮇ್࡜ࡋ࡚᥇⏝ࡋࡓࠋ᥇ ⏝ࡋࡓྛ㝵ྛḟࡢ่⃭㛵ᩘ⾜ิ࡟ᑐࡋ࡚㸪1 ḟ࣮ࣔࢻࡣ RF㝵ࡢྠᐃ್࡟㸪2 ḟ࣮ࣔࢻࡣ 7 㝵ࡢྠᐃ್࡟ᩚྜࡍ ࡿࡼ࠺ྛḟ่⃭㛵ᩘ࣋ࢡࢺࣝࢆẚ౛ಸࡋ࡚ㄪᩚࡋࡓࠋ  ୖ㏙ࡢᡭ㡰࡟ࡼࡾྲྀᚓࡋࡓ࣮ࣔࢲࣝࣃ࣓࣮ࣛࢱࢆ౑ ⏝ࡋ࡚ᆅ㟈ᛂ⟅ゎᯒࢆ⾜࠸㸪ᑐ㇟ᘓ≀඲యࡢᆅ㟈ᛂ⟅ 㸦ຍ㏿ᗘ࣭ኚ఩㸧ࢆ᥎ᐃࡋࡓࠋ᥎ᐃゎᯒ⤖ᯝ࡜ほ グ 㘓ࡢẚ㍑࡜ࡋ࡚㸪ᆅ㟈ᛂ⟅Ἴᙧ㸦⤯ᑐຍ㏿ᗘ࣭┦ᑐኚ ఩㸧ࢆᅗ 6㸪7 ࡟♧ࡍࠋࡲࡓྛ㝵ࡢ᭱኱ᛂ⟅್ศᕸ㸦⤯ ᑐຍ㏿ᗘ࣭┦ᑐኚ఩㸧ࢆᅗ 8 ࡟♧ࡍࠋࡇࡇ࡛ほ グ㘓 ࡢኚ఩Ἴᙧࡣ㸪ྛ㝵ຍ㏿ᗘἼᙧࡢ 2 ᅇ✚ศ࠿ࡽồࡵࡓࠋ  ᛂ⟅Ἴᙧ࣭᭱኱ᛂ⟅್ศᕸ࡜ࡶ࡟᥎ᐃゎᯒ⤖ᯝࡣほ  㝵ࡢ⤖ᯝࢆᴫࡡᤊ࠼࡚࠾ࡾ㸪ᮏᥦ᱌ᡭἲࡢ᭷⏝ᛶࡀ ㄆࡵࡽࢀࡿࠋ㠀ほ 㝵ࡢ᥎ᐃ⢭ᗘ࡟ࡘ࠸࡚ࡣ㸪᥎ᐃࡢ ᇦࢆฟ࡞࠸ࡀ㸪ほ 㝵ࡢᛂ⟅ࢆᴫࡡ᥎ᐃ࡛ࡁ࡚࠸ࡿࡇ ࡜࠿ࡽ㸪㠀ほ 㝵ࡢᛂ⟅ࡶྠᵝ࡟᥎ᐃ࡛ࡁ࡚࠸ࡿྍ⬟ ᛶࡀ♧၀ࡉࢀࡿࠋ ᅗ  ᥎ᐃ⤖ᯝẚ㍑ ᛂ⟅Ἴᙧ㸦RF 㝵㸧 ᅗ  ᥎ᐃ⤖ᯝẚ㍑ ᛂ⟅Ἴᙧ㸦7 㝵㸧 ᅗ  ᥎ᐃ⤖ᯝẚ㍑ ྛᒙ᭱኱ᛂ⟅್ศᕸ -40 -30 -20 -10 0 10 20 30 40 0 5 10 15 20 25 30 aA cc . (g al) time (s) RF㝵 ⤯ᑐຍ㏿ᗘἼᙧ ほ グ㘓 ᥎ᐃゎᯒ⤖ᯝ -1 -0.5 0 0.5 1 0 5 10 15 20 25 30 rDisp. ( cm ) time (s) RF㝵 ┦ᑐኚ఩Ἴᙧ ほ グ㘓2ᅇ✚ศ ᥎ᐃゎᯒ⤖ᯝ -40 -30 -20 -10 0 10 20 30 40 0 5 10 15 20 25 30 aA cc . (g al) time (s) 7㝵 ⤯ᑐຍ㏿ᗘἼᙧ ほ グ㘓 ᥎ᐃゎᯒ⤖ᯝ -1 -0.5 0 0.5 1 0 5 10 15 20 25 30 rDisp. ( cm ) time (s) 7㝵 ┦ᑐኚ఩Ἴᙧ ほ グ㘓2ᅇ✚ศ ᥎ᐃゎᯒ⤖ᯝ 0 10 20 30 40 50 60 0 10 20 30 h (m ) aAcc. (gal) ᭱኱⤯ᑐຍ㏿ᗘศᕸ ほ  ᥎ᐃ 0 10 20 30 40 50 60 0 0.2 0.4 0.6 0.8 1 h (m ) rDisp. (cm) ᭱኱┦ᑐኚ఩ศᕸ ほ  ᥎ᐃ 㸦7 㝵/B2 㝵 㛗㎶᪉ྥ ఏ㐩㛵ᩘ࣭఩┦ᕪ㸧 ᅗ  ࢩࢫࢸ࣒ྠᐃ⤖ᯝ㸦ᆅୖ 13 㝵 SRC 㐀ᘓ≀㸧 㸦RF 㝵/B2 㝵 㛗㎶᪉ྥ ఏ㐩㛵ᩘ࣭఩┦ᕪ㸧 0.1 1 10 100 0.1 1 10 Am plitude ( ಸ ) Frequency (Hz) ほ グ㘓 ࢩࢫࢸ࣒ྠᐃ -180 -90 0 90 180 0.1 1 10 P h as e ( r ) Frequency (Hz) ほ グ㘓 ࢩࢫࢸ࣒ྠᐃ 0.1 1 10 100 0.1 1 10 A m plit ud e ( ಸ ) Frequency (Hz) ほ グ㘓 ࢩࢫࢸ࣒ྠᐃ -180 -90 0 90 180 0.1 1 10 P h as e ( r ) Frequency (Hz) ほ グ㘓 ࢩࢫࢸ࣒ྠᐃ

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 㗰〇  ᒙヨ㦂య᣺ືྎᐇ㦂࡟ࡼࡿ᳨ド⤖ᯝ  2015 ᖺ 10 ᭶࡟ᮏሐ᱌ᡭἲࡢ᳨ドࢆ┠ⓗ࡜ࡋ࡚᣺ືྎ ᐇ㦂ࢆᐇ᪋ࡋࡓࠋᚓࡽࢀࡓᐇ㦂⤖ᯝ࡟ᑐࡋ࡚㸪ᥦ᱌᥎ ᐃᡭἲࡢ᳨ドゎᯒࢆ⾜ࡗࡓ⤖ᯝࢆሗ࿌ࡍࡿࠋ  ヨ㦂య࡜᣺ືྎᐇ㦂ᴫせ  ヨ㦂య࡟ࡣᰕ㒊ศ࡟ᯈࣂࢿࢆ౑⏝ࡋࡓ㗰〇ࡢ 5 ᒙヨ 㦂యࢆ౑⏝ࡋࡓ㸦ᅗ 9㸧ࠋᮏヨ㦂యࡣ㸪ᯈࣂࢿࡢᙅ㍈᪉ ྥࢆຍ᣺᪉ྥ࡜ࡋࡓ 1 ㍈ຍ᣺⏝ࡢ᣺ືᶍᆺ࡛࠶ࡿࠋ᣺ ືᶍᆺ࡜ࡋ࡚ࡣ㸪ෆ㒊ῶ⾶ࡀ࡯࡜ࢇ࡝ᮇᚅ࡛ࡁ࡞࠸ࡓ ࡵ㸪ຍ᣺ᚋࡢ⮬⏤᣺ືࡀ཰ࡲࡾ࡟ࡃ࠸ࠋࡑࡢࡓࡵ㸪ᐇ 㦂ࡢ㒔ྜୖ㸪᣺ື⥅⥆᫬㛫ࢆ 120 ⛊⛬ᗘ࡟ᢚ࠼ࡿ┠ⓗ ࡛㸪4 㝵㒊ศ࡟ᑠᆺࡢ࢜࢖ࣝࢲࣥࣃ࣮ࢆタ⨨ࡋࡓࠋ   ᐃࡣ㸪ྛ㝵ຍ᣺᪉ྥࡢຍ㏿ᗘࢆ ᐃࡍࡿࡓࡵ㸪ࢧ ࣮࣎ᆺຍ㏿ᗘィࢆ 6 ྎタ⨨ࡋࡓࠋࡲࡓྛ㝵ᒙ㛫ኚ఩ࢆ  ᐃࡍࡿࡓࡵ࣮ࣞࢨ࣮ኚ఩ィࢆ 5 ྎタ⨨ࡋࡓࠋྛ㝵┦ ᑐኚ఩ࡣ㸪ୖ㝵࡟ୖࡀࡿẖ࡟࣮ࣞࢨ࣮ኚ఩ィࡢ ᐃ್ ࢆຍ⟬ࡍࡿࡇ࡜࡛ồࡵࡓࠋ  ᮏᥦ᱌ᡭἲ᳨ド⏝࡟ࡣ㸪1940 ᖺ Imperial Valley ᆅ㟈 ࡛ほ ࡉࢀࡓ El Centro Ἴࡢ NS ᡂศࢆ 10kine ࡟ᇶ‽໬ ࡋࡓຍ᣺Ἴ㸦ᅗ 10㸧࡟ࡼࡿຍ᣺⤖ᯝࢆ౑⏝ࡋࡓࠋ  ࣮ࣔࢲࣝࣃ࣓࣮ࣛࢱࡢࢩࢫࢸ࣒ྠᐃ  1 㝵ࢆධຊ࡜ࡋ࡚ྛ㝵ࡢఏ㐩㛵ᩘࢆィ ⤖ᯝ࠿ࡽ⟬ฟ ࡋ㸪ບ㉳ࡉࢀ࡚࠸ࡿ 3 ḟ࣮ࣔࢻࡲ࡛ࡢྠᐃḟᩘ࡟タᐃ ࡋ࡚ࢩࢫࢸ࣒ྠᐃࢆ⾜ࡗࡓࠋ㔜ࡳ㛵ᩘ࡟ࡘ࠸࡚ࡣ㸪 3.1.2.㡯࡛ㄝ᫂ࡋࡓᡭ㡰࡜ྠᵝ࡟㸪2 ✀㢮ࡢ㔜ࡳ㛵ᩘࢆ ᥇⏝ࡋ㸪ྠᐃ⢭ᗘࡢྥୖࢆᅗࡗࡓࠋ  ᅗ 11 ࡟ RF 㝵/1 㝵࡜ 4 㝵/1 㝵ࡢྠᐃ⤖ᯝࢆ௦⾲౛࡜ ࡋ࡚♧ࡍࠋᅗ 11 ࡼࡾྠᐃ⤖ᯝࡣ 1㹼3 ḟ࡟࠾ࡅࡿఏ㐩 㛵ᩘ㸪఩┦ᕪࢆ⢭ᗘⰋࡃᤊ࠼࡚࠾ࡾ㸪㐺ษ࡟ࢩࢫࢸ࣒ ྠᐃࡀ⾜ࢃࢀ࡚࠸ࡿࡇ࡜ࡀ☜ㄆ࡛ࡁࡿࠋ  ᆅ㟈ᛂ⟅᥎ᐃゎᯒ⤖ᯝ࡜ ᐃ⤖ᯝࡢẚ㍑  ྛḟࡢᅛ᭷᣺ືᩘ࣭ῶ⾶ᐃᩘࡣ㸪RF 㝵㹼2 㝵ࡢྛ㝵 ྠᐃ್ࢆᖹᆒࡋ࡚౑⏝ࡋࡓࠋ่⃭㛵ᩘ࡟ࡘ࠸࡚ࡣ㸪ヨ 㦂యࡢྛᒙ㉁㔞࡜ྛᒙ๛ᛶࢆ౑⏝ࡋࡓᅛ᭷್ゎᯒ⤖ᯝ ࢆึᮇ್࡜ࡋ࡚᥇⏝ࡋࡓࠋ᥇⏝ࡋࡓྛ㝵ྛḟࡢ่⃭㛵 ᩘ⾜ิ࡟ᑐࡋ࡚㸪1 ḟࡣ RF 㝵ྠᐃ್㸪2 ḟࡣ 4 㝵ྠᐃ ್㸪3 ḟࡣ 3 㝵ྠᐃ್࡟ࡑࢀࡒࢀᩚྜࡍࡿࡼ࠺࡟㸪ྛḟ ่⃭㛵ᩘ࣋ࢡࢺࣝࢆẚ౛ಸࡋࡓࠋ  ୖ㏙ࡢᡭ㡰࡟ࡼࡾྲྀᚓࡋࡓ࣮ࣔࢲࣝࣃ࣓࣮ࣛࢱࢆ౑ ⏝ࡋ࡚ᆅ㟈ᛂ⟅ゎᯒࢆ⾜࠸㸪ᑐ㇟ᘓ≀඲యࡢᆅ㟈ᛂ⟅ 㸦ຍ㏿ᗘ࣭ኚ఩㸧ࢆ᥎ᐃࡋࡓࠋ᥎ᐃゎᯒ⤖ᯝ࡜ ᐃ⤖ ᯝࡢẚ㍑࡜ࡋ࡚㸪ᅗ 12㸪13 ࡟ᆅ㟈ᛂ⟅Ἴᙧ㸦⤯ᑐຍ㏿ ᗘ࣭┦ᑐኚ఩㸧ࢆ㸪ᅗ 14 ࡟ྛ㝵᭱኱ᛂ⟅್ศᕸ㸦⤯ᑐ ຍ㏿ᗘ࣭ᒙ㛫ኚᙧゅ㸧ࢆ♧ࡍࠋ  ᅗ 12㸪13 ࡢᛂ⟅Ἴᙧẚ㍑࠿ࡽ㸪RF 㝵࣭4 㝵࡜ࡶ᥎ᐃ ゎᯒ⤖ᯝࡣ ᐃ⤖ᯝࢆⰋࡃ෌⌧ࡋ࡚࠸ࡿࡇ࡜ࡀㄞࡳྲྀ ࢀࡿࠋࡲࡓᅗ 14 ࡢ᭱኱ᛂ⟅್ศᕸ࡛ࡣ㸪᥎ᐃ⤖ᯝࡀ  ᐃ⤖ᯝ࡟ẚ㍑ࡋ࡚ ᐃ⤖ᯝࡢഴྥࢆࡼࡃ෌⌧ࡋ࡚࠸ࡓࠋ ᅗ  㗰〇 5 ᒙヨ㦂య ᣺ືྎᐇ㦂  ᐃᴫせ 98.73 -97.36 -100 -75 -50 -25 0 25 50 75 100 0 10 20 30 40 50 60 70 A cc. (g al) time (s) El CentroNS 10kineᇶ‽໬ ᅗ  ศᯒᑐ㇟ ᣺ືྎຍ᣺Ἴ 20 0 20 0 20 0 20 0 20 0 2 0 0 600 60 0 60 0 60 0 60 0 42 00 Ძ᨞ Წ᨞ Ჭ᨞ Ხ᨞ Ჯ᨞ ǵȸȜ׹ьᡮࡇᚘ ȬȸǶȸ٭ˮᚘ 4(᨞ ຍ᣺᪉ྥ 㸦4 㝵/1 㝵 ຍ᣺᪉ྥ ఏ㐩㛵ᩘ࣭఩┦ᕪ㸧 ᅗ  ࢩࢫࢸ࣒ྠᐃ⤖ᯝ㸦㗰〇 5 ᒙヨ㦂య㸧 㸦RF 㝵/1 㝵 ຍ᣺᪉ྥ ఏ㐩㛵ᩘ࣭఩┦ᕪ㸧 0.1 1 10 100 0.1 1 10 Am plitude ( ಸ ) Frequency (Hz)  ᐃ⤖ᯝ ࢩࢫࢸ࣒ྠᐃ -180 -90 0 90 180 0.1 1 10 Pha se ( r ) Frequency (Hz)  ᐃ⤖ᯝ ࢩࢫࢸ࣒ྠᐃ 0.1 1 10 100 0.1 1 10 A m plit ud e ( ಸ ) Frequency (Hz)  ᐃ⤖ᯝ ࢩࢫࢸ࣒ྠᐃ -180 -90 0 90 180 0.1 1 10 Pha se ( r ) Frequency (Hz)  ᐃ⤖ᯝ ࢩࢫࢸ࣒ྠᐃ

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 ࡲ࡜ࡵ  ༢Ⅼཧ↷࣭ከ⮬⏤ᗘ೫ศ཯᚟ἲ࡟ࡼࡿࢩࢫࢸ࣒ྠᐃ ࡜࣮ࣔࢻ㔜ྜἲࢆ⤌ࡳྜࢃࡏࡓᡭἲ࡟ࡼࡾ㸪ཝ㑅ࡋࡓ ほ 㝵ࡢຍ㏿ᗘグ㘓࠿ࡽ㸪ᑐ㇟ᘓ≀඲యࡢᆅ㟈ᛂ⟅ࢆ ᥎ᐃࡍࡿゎᯒᡭἲࢆᥦ᱌ࡋࡓࠋᆅ㟈ほ ཬࡧ᣺ືྎᐇ 㦂⤖ᯝࡢ⥺ᙧᛂ⟅࡟࠾ࡅࡿ᳨ドゎᯒ࡛ࡣ㸪ᐇ ್࡜ᴫ ࡡᩚྜࡍࡿ⤖ᯝࡀㄆࡵࡽࢀ࡚࠾ࡾ㸪ᮏᥦ᱌ᡭἲࡢ᭷⏝ ᛶࡀ☜ㄆ࡛ࡁࡓࠋ  ௒ᚋࡣ㸪ྛ㝵ಶู࡟ࢩࢫࢸ࣒ྠᐃࡍࡿ༢Ⅼཧ↷࠿ࡽ ከⅬཧ↷࡟ᣑᙇࡍࡿࡇ࡜ࡸ㸪࣮ࣔࢲࣝࣃ࣓࣮ࣛࢱࡢึ ᮇ್タᐃ᪉ἲ㸪㠀⥺ᙧᛂ⟅࡟ᑐᛂࡋࡓゎᯒ࢔ࣝࢦࣜࢬ ࣒ࡢᵓ⠏ࡀㄢ㢟࡛࠶ࡿࠋࡲࡓᆅ㟈ᛂ⟅᥎ᐃゎᯒࡢ⢭ᗘ ྥୖࡢࡓࡵ㸪ᘓ≀඲యࡢ่⃭㛵ᩘ࣋ࢡࢺࣝࡢ⿵ṇ᪉ἲ ࡟㛵ࡋ࡚ࡶ᳨ウࡀᚲせ࡛࠶ࡿࠋ ཧ⪃ᩥ⊩ 1㸧 㛗࿘ᮇᆅ㟈ື࡜㉸㧗ᒙᘓ≀ࡢᑐᛂ⟇㸫ᑓ㛛ᐙ࡜ࡋ࡚▱ࡗ࡚࠾ࡁࡓ࠸ࡇ࡜㸫㸪᪥ᮏᘓ⠏Ꮫ఍㸪2013.10 2㸧 ⿕⅏ᘓ⠏≀ᛂᛴ༴㝤ᗘุᐃ࣐ࢽࣗ࢔ࣝ㸪㈈ᅋἲே ᪥ᮏᘓ⠏㜵⅏༠఍㸪1998.1 3㸧 㟈⅏ᘓ⠏≀ࡢ⿕⅏ᗘ༊ศุᐃᇶ‽࠾ࡼࡧ ᚟ᪧᢏ⾡ᣦ㔪㸦ᮌ㐀⦅㸧㸪㈈ᅋἲே ᪥ᮏᘓ⠏㜵⅏༠఍㸪2003.1 4㸧 ༓ⴥ୍ᶞ㸪㇏ᔱᏛ㸸㠀ほ 㝵ࡢᆅ㟈ᛂ⟅ண ᡭἲ࡟㛵ࡍࡿ◊✲ ࡑࡢ 1 ༢Ⅼཧ↷࣭ከ⮬⏤ᗘ೫ศ཯᚟ἲ࡟ࡼࡿ࣮ࣔࢲࣝࣃ࣓࣮ࣛ ࢱ᥎ᐃ㸪᪥ᮏᘓ⠏Ꮫ఍኱఍Ꮫ⾡ㅮ₇᱾ᴫ㞟㸪B-2㸪ᵓ㐀ϩ㸪pp.981-982㸪2015.9 5㸧 ࣮ࣔࢻゎᯒࣁࣥࢻࣈࢵࢡ⦅㞟ጤဨ఍㸪࣮ࣔࢻゎᯒࣁࣥࢻࣈࢵࢡ㸪2000.1 6㸧 ᰘ⏣᫂ᚨ㸸᭱᪂⪏㟈ᵓ㐀ゎᯒ㸦➨ 2 ∧㸧㸪᳃໭ฟ∧ᰴᘧ఍♫㸪2011.9

EARTHQUAKE RESPONSE ESTIMATION ANALYSIS METHOD

ON UNOBSERVED FLOOR USING A SYSTEM IDENTIFICATION

K.Chiba and M.Toyoshima

In recent years, strengthening of BCP for the company has been required for large earthquakes. However, it is difficult to grasp the damage of head office building immediately when earthquake occurs. Therefore, the spread of the disaster degree determination system that utilizes seismic observation is required. This paper reports an example of the earthquake response estimation analysis method of the whole building that combines the seismic response analysis by modal analysis and the system identification utilizing the differential iteration method. By the validation analysis using the shaking table test results and earthquake observation records, usefulness of the proposed method is confirmed.

ᅗ  ᥎ᐃ⤖ᯝẚ㍑ ྛᒙ᭱኱ᛂ⟅್ศᕸ 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 0 200 400 600 h (m ) aAcc. (gal) ᭱኱⤯ᑐຍ㏿ᗘศᕸ  ᐃ ᥎ᐃ 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 0 0.005 0.01 0.015 h (m ) rDisp. (cm) ᭱኱ᒙ㛫ኚᙧゅศᕸ  ᐃ ᥎ᐃ ᅗ  ᥎ᐃ⤖ᯝẚ㍑ ᛂ⟅Ἴᙧ㸦RF 㝵㸧 ᅗ  ᥎ᐃ⤖ᯝẚ㍑ ᛂ⟅Ἴᙧ㸦4 㝵㸧 -600 -400 -200 0 200 400 600 12 16 20 24 28 32 36 aA cc . (g al) time (s) RF㝵 ⤯ᑐຍ㏿ᗘἼᙧ  ᐃ⤖ᯝ ᥎ᐃゎᯒ⤖ᯝ -5 -2.5 0 2.5 5 12 16 20 24 28 32 36 rDisp. ( cm ) time (s) RF㝵 ┦ᑐኚ఩Ἴᙧ  ᐃ⤖ᯝ ᥎ᐃゎᯒ⤖ᯝ -600 -400 -200 0 200 400 600 12 16 20 24 28 32 36 aA cc . (g al) time (s) 4㝵 ⤯ᑐຍ㏿ᗘἼᙧ  ᐃ⤖ᯝ ᥎ᐃゎᯒ⤖ᯝ -5 -2.5 0 2.5 5 12 16 20 24 28 32 36 rDisp. ( cm ) time (s) 4㝵 ┦ᑐኚ఩Ἴᙧ  ᐃ⤖ᯝ ᥎ᐃゎᯒ⤖ᯝ ᆅୗỈ఩ ᒣ␃ࡵኚ఩ ษᱱ ㍈ຊ ⥅ᱱ ㍈ຊ ㌶㐨

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