1 1 1 n (1) (nt p t) (1) (2) (3) τ T τ. (0 t nt p ) (1) (4) (5) S a (2) (3) 0sin. = ωp

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1 ) ) 4) ) hayashi@archi.kyoto-u.ac.j Det. of Architecture and Architectural Engrg., Kyoto University, Prof., Dr.Eng. ), r-suzuki@archi.kyoto-u.ac.j Det. of Architecture and Architectural Engrg., Kyoto University, Graduate student 3) noriko@archi.kyoto-u.ac.j Det. of Architecture and Architectural Engrg., Kyoto University, Research Associate, Dr.Eng. 4) Ph.D, masumi@eqh.dri.kyoto-u.ac.j Pioneering Research Unit for Next Generation, Kyoto University, Assist.Prof., Ph.D. 994 Northridge995 ( ) ) 7 ) 6, 7) S a T,V T,V 6, 7) T ( = π/ ω) P T( = π/ ω ) n P ωt ( t < nt ) sin u + ω u = ( nt t) () ( ) T T ( t nt ) () u = ( sinωt τ sinωt) ω τ () τ = ω ω = T T (nt t)() u τ nπ π nπ = sin cos t ω τ τ T τ (3) ( ) T = T ( t nt ) () u = { ωtcosωt sinωt} (4) ω (nt t)() u = πcosωt ω (5) T T τ =T/T S a S d S a = ω Sd () (3) P

2 S a /P ( t nt ) () t = mt ( τ ± ) t nt m t = mt ( τ + ) t = mt ( τ ) () g,m g,m πmτ g, m sin τ τ + (6) πmτ g, m sin τ + τ (nt t) nt t (3)(3) f n τ nπ f n = sin (7) τ τ f n g,m g,m Sa = max{ fn,g,m,g,m} (8) (8) n=,,3 T/T = n T/ T = nπ T/T =.5 T/T.5 n T/ T =.5 T=.5T S a (T=.5T ) 3 n=,,3 3 n=, 6,7) (n=,) S a Site PGV T V Sa(T=.5T) 上町断層帯の JMAEBC 予測地震動 OSK ( 産総研波 ) OSK 上町断層帯の JMAEBC 予測地震動 OSK ( 中防波 ) OSK 上町断層帯の JMAEBC 予測地震動 OSK ( 川辺波 ) OSK 年兵庫県南部地震 葺合 JMA 神戸 年鳥取県西部地震 日野 年新潟中越地震 7 年新潟県中越沖地震 JMA 川口 小千谷 柏崎 刈羽村 T P n= n= n=3 Sa/ h= n= n= n= T/T Sa/Sa(T=.5T) 4 3 n= n= n=3 Sa( 式 9) 3 4 T/T S a S a (T=.5T ) (cm/s ) 5 5 産総波 中防波 S a (Τ=.5T )=.5 (π/t )V 川辺波 観測波 (π/t )V (cm/s ) S a (T=.5T ) T,V T (s) 産総研波中防波川辺波観測波 V (cm/s) 5 5 V (cm/s) V T 5 5 産総波 中防波 川辺波 観測波 5 5 PGV (cm/s) PGV V

3 , ( τ )/ f(. 5) (. 5 < τ <. 5), () τ / f(. 5) (. 5 τ <. 667), ( τ )/ f(. 5) (. 667 τ <. 75), () τ / f (. 5)(. 75 τ < ) () τ / f(. 5) ( < τ <. 5) ( τ )/ f (. 5) (. 5 τ ) g g g 3 Sa( τ ) = (9) g 4 f f 3 (9) S a S a F h h=.5 S a (τ =T/T )(9) S a S ( τ ) = S ( T =. 5T ) S ( τ ) () a a a F h n F ( h) = ( +.5nπ)/(+ nπ h) () h () S a (T=.5T ) T T V T h=.5.8t.5t V S a (T=.5T ) T, V T, V (π/ T )V S a (T=.5T ) 4 S a (T=.5T )=.5(π/T )V () T,V () i S a (T=.5T )() V T, PGV V 5, 6 T 3 V 7 T PGV cm/s 6,7) T,V 9 ) ) ) M w 6 8 km 3) ImerialValley Northridge ChiChi Izmit 4) Somerville Bray ()Mavroeidis (3) Gabor Wavelet A πf f ( t) = cos( ) cos(π + ν ) + t γ f t () A f ν γ (γ ) f () A γ ν

4 ()Somerville(3) T PGV (3) Bray(4) T PGV PGV 4) Aravi & Krawinkler () T 7 M w T T Rock Soil log Tdir= log Tdir= rock soil lntv= lntv= Mavroeidis log T= Tdir (s) Tv (s) T (s) Somerville Bray Marvoeidis T Tv (s) (Bray) Tv =.99Tdir T (s) (Mavroeidis) T =.3Tdir T (s) (Alavi & krawinkler) T =.86Tdir Tdir(s) (Somerville) Tdir (s) (Somerville) Tdir (s) (Somerville) PGV (cm/s) < <<7.5 >7.5 PGV (cm/s) < << < パルス振幅 A(cm/s) < <<7.5 >7.5 Somerville Bray Mavroeidis パルス周期 T(s) Somerville パルス周期 T(s) Bray パルス周期 T(s) Marvoeidis

5 T M w 7(a),(b) T M w 8 8 Somerville T dir 3 8 Somerville Bray Alavi & Krawinkler Somerville.86 9 M w 3 M w M w M w M w T, V Mavroeidis 4) M w Mavroeidis () ( 8 ) JMAEBC T =.7s 3 (a) T =s V 75,, 5cm/s (b) V =cm/s T,, 3s T V T (s) Somerville(rock) Somerville(soil) Bray(rock) Bray(soil) Mavroeidis Alavi & Krawinkler T 文献 Somerville (3) Bray (4) Tの定義 Tの回帰式 断層直交方向速度波形の最大パルス周期 Rock log(tdir)= Soil log(tdir)= 速度が最大速度となる部分のゼロクロッシング時間 または 最大速度の % になるまでの時間 ( 速度波形に drift が見られる場合 ) Mavroeidis (3) 擬似速度応答スペクトルのピーク周期 Alavi & krawinkler () Rock Soil log(tv)= log(tv)= 速度応答スペクトルのピーク周期 log(t)= Bray の回帰式は自然対数を常用対数に書き換えている log(t)=-.+.4 log(t)= ( 自己相似性考慮 )

6 T,V ),, 3, 75-78, 998 ) ) ) (), ),,,.3-4, ),,,.5-34, 9.. 7), No.647,.. 8),,, 7-4, 9.. 9) G. P. Mavroeidis, A. S. Paageorgiou : A Mathematical Reresentation of Near-Fault Ground Motions, Bulletin of the Seismological Society of America, Vol. 93, No. 3,. 99-3, June, 3. ) P. G. Somerville : Magnitude Scaling of the Near Fault ruture directivity ulse, Physics of the Earth and Planetary Interiors, 37,.-, 3. ) J. D. Bray, A. Rodriguez-Marek : Characterization of forwarddirectivity ground motions in the near-fault region,soil Dynamics and Earthquake Engineering, 4,.85-88, 4. ) B. Alavi, H. Krawinkler : Consideration of near-fault ground motion effects in seismic design, Proc. of th WCEE, New Zealand,. Sa(cm/s ) 3 種地盤簡略法 川辺波 JMAEBC Sa(T=.5T)=5 h=.5 T=.7 S a (cm/s ) 3 h=.5 T=. 種地盤簡略法 V =75 V = V =5 S a (cm/s ) 3 h=.5 V = 種地盤簡略法 T = T = T =3 工学的基盤 Period(s) 工学的基盤 工学的基盤 Period(s) Period(s) (a) V (b) T