地震动的空间变化特性分析与修正相干模型
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摘要
利用空间地震动相关性描述度量如相关、相干函数分析地震动在局部尺度内的相关性随空间距离、频率的变化规律。在此基础上,基于随机场基本理论对Harichandran-Vanmarcke模型进行了修正,在原一维模型基础上考虑了空间的二维因素,并通过Smart-1台阵event-40记录给出了模型参数的具体取值。
The analysis of muli-point ground motion characteristics with space distance and frequency was performed.Based on the second-order theory of random fields,a new mathematical model was proposed,as an enhancement on the model of Harichandran-Vanmarcke,taking a 2-D spatial factor into account.The accelerograms recorded by SMART 1 seismograph array in Lotung Taiwan were used to determine the parameters of the correlation model.Finally,a comparison was made between the new model and Hao model,it was shown that the proposed model has an excellent performance.
The analysis of muli-point ground motion characteristics with space distance and frequency was performed.Based on the second-order theory of random fields,a new mathematical model was proposed,as an enhancement on the model of Harichandran-Vanmarcke,taking a 2-D spatial factor into account.The accelerograms recorded by SMART 1 seismograph array in Lotung Taiwan were used to determine the parameters of the correlation model.Finally,a comparison was made between the new model and Hao model,it was shown that the proposed model has an excellent performance.
引文
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[7]王君杰,陈虎.面向设计应用的地震动空间相干函数模型[J];地震工程与工程振动,2007,27(1):16-23.WANG Jun-jie,CHEN Hu.A spatial coherence model of seismic ground motion for design application[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(1):16-23.
[8]Ding H P,Liu Q F,J in X and Yuan Y F.A Coherency functionmodel of groundmotion at base rock corresponding to strike-slip fault[J].AC2TA Seismologica Sinica,2004,17(1):64-69.
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[11]Hao H,Oliveira C S,Penzien.Multiple-station ground motion processing and simulation based on SMART-1array data[J].Nucl.Eng.Des.1989,111:293-310.
[12]Harichandran R S,Vanmarcke E H,Stochastic variation of earthquake ground motion in space and time[J].Eng.Mech.Div.1986,112:154-174.
[13]Vanmarcke E H,Random Fields.Analysis and synthesis[M].MIT Press,Cambridge MA,1983.
[14]Whittle P.Topographic corrrelation,power-law cov-ariance function,and diffusion[J].Biometrika,1962,49:305-314.
[15]Dwight H B.Tables of intergrals and other mathematical Date[M].4 th ED,MacMillan New York,1961.
[16]Gelb,Arthur(Ed.).Applied Optimal Estimation[M].The MIT Press,Cambridge,Mass,1974.
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[18]Nocedal,Jorge;Wright,Stephen J.Numerical optimization,2nd Edition[M].Springer.ISBN0-387-30303-0,2006.
[2]Zerva A.On the spatial variation of seismic ground motions and its effects on lifelines[J].Eng Struct16,534-546.
[3]Harichandran R S,Hawwari A,Sweidan B N.Response of long-span bridges to spatially varying ground motion[J].Struct Eng(ASCE),1994,122,476-484.
[4]Novak M,Hindy A.Seismic response of buried pipelines,3rd Canadian Conf on Earthquake Engineering,1979,Montreal Canada.
[5]冯启民,胡聿贤.空间相关地面运动的数学模型[J].地震工程与工程振动,1981,1(2):1-8.FENG Qi-ming,HU Yu-xian.A mathematical model for spatial seismic ground motion[J].Journal of Earthquake Engineering and Engineering Vibration,1981,1(2):1-8.
[6]屈铁军,王君杰,王前信.空间变化的地震动功率谱的实用模型[J].地震学报,1996,18(1):55-62.WANG Jun-jie,CHEN Hu.The model of power spectrum for spatial variation ground motion for design application[J].Earthquake Science,1996,18(1):55-62.
[7]王君杰,陈虎.面向设计应用的地震动空间相干函数模型[J];地震工程与工程振动,2007,27(1):16-23.WANG Jun-jie,CHEN Hu.A spatial coherence model of seismic ground motion for design application[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(1):16-23.
[8]Ding H P,Liu Q F,J in X and Yuan Y F.A Coherency functionmodel of groundmotion at base rock corresponding to strike-slip fault[J].AC2TA Seismologica Sinica,2004,17(1):64-69.
[9]Loh C H,Lin S G,Directionality and simulation in spatial variation of seismic waves[J].Eng.Struct.1990,12:134-143.
[10]Abrahamson N A,Schneider J F,Stepp J C,Spatial variation of strong ground motion for use in soil-structure interaction analyses[C].Proc of4th US-Natl Conf on Earthquake Engineering,Palm Springs CA,1990:317-326.
[11]Hao H,Oliveira C S,Penzien.Multiple-station ground motion processing and simulation based on SMART-1array data[J].Nucl.Eng.Des.1989,111:293-310.
[12]Harichandran R S,Vanmarcke E H,Stochastic variation of earthquake ground motion in space and time[J].Eng.Mech.Div.1986,112:154-174.
[13]Vanmarcke E H,Random Fields.Analysis and synthesis[M].MIT Press,Cambridge MA,1983.
[14]Whittle P.Topographic corrrelation,power-law cov-ariance function,and diffusion[J].Biometrika,1962,49:305-314.
[15]Dwight H B.Tables of intergrals and other mathematical Date[M].4 th ED,MacMillan New York,1961.
[16]Gelb,Arthur(Ed.).Applied Optimal Estimation[M].The MIT Press,Cambridge,Mass,1974.
[17]Kenneth Levenberg.A method for the solution of certain non-linear problems in least squares[J].The Quarterly of Applied Mathematics,1944,2:164-168.
[18]Nocedal,Jorge;Wright,Stephen J.Numerical optimization,2nd Edition[M].Springer.ISBN0-387-30303-0,2006.
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