工程地震动的物理随机函数模型
摘要
提出了工程地震动的物理随机函数模型,并在样本层次上验证了其正确性.首先对刻画一维地震波场的偏微分方程定解问题给出了解的Fourier谱传递形式;其次对震源、传播途径和局部场地作用分别建立具体的物理模型,获得了以基本物理参数为随机参量的地震动随机函数模型;发展了由随机函数模型生成地震动样本时程的窄带谐波叠加方法;最后对1995年神户大地震的记录加速度时程进行了样本层面的建模.研究表明,地震动物理随机函数模型能较好地反映真实地震动时程的频谱特性和非平稳特性.
引文
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2 Douglas J,Aochi H.A survey of techniques for predicting earthquake ground motion for engineering purpose.Surv Geophys,2008,29:187–220
3 Kanai K.Semi-empirical formula for the seismic characteristics of the ground.Bull Earthquake Res Inst,1957,35:309–325
4 Kanai K.An empirical formula for the spectrum of strong earthquake motions.Bull Earthquake Res Inst,1961,39:85–95
5 Ruiz P T,Penzien J.Probabilistic study of the behavior of structures during earthquakes.UCB/EERC-69/03,1969
6欧进萍,牛荻涛.地震地面运动随机过程模型的参数及其结构反应.哈尔滨建筑工程学院学报,1990,2:24–34
7李杰,艾晓秋.基于物理的随机地震动模型研究.地震工程与工程振动,2006,26:21–26
8 Boore D M.Simulation of ground motion using the stochastic method.Pure Appl Geophys,2003,160:635–676
9 Aki K,Richards P G.Quantitative Seismology Theory and Methods.San Francisco:W.H.Freeman and Company,1980.9–35
10 Pujol J.Elastic Wave Propagation and Generation in Seismology.Cambridge:Cambridge University Press,2003.84–99
11廖振鹏.工程波动理论导论.第二版.北京:科学出版社,2002.16–25
12 Tsien H S.Engineering Cybernetics.New York:McGraw-Hill,1954.7–11
13 Doebelin E O.System Model and Response.New York:John Wiley&Sons,1980.26–32
14李杰.工程结构随机动力激励的物理模型.见:李杰,陈建兵,主编.随机振动理论与应用新进展.上海:同济大学出版社,2008.119–132
15 Haskell N A.Total energy and energy spectral density of elastic wave radiation from propagating faults.Bull Seismological Society Am,1964,54:1811–1841
16 Haskell N A.Total energy and energy spectral density of elastic wave radiation from propagating faults.Part II.A statistical source model.Bull Seismological Society Am,1966,56:125–140
17 Aki K.Scaling law of seismic spectrum.J Geophys Res,1967,72:1217–1231
18 Aki K.Scaling law of earthquake source time-function.Geophys J G Astr Soc,1972,31:3–25
19 Brune J N.Tectonic stress and the spectra of seismic shear waves from earthquakes.J Geophys Res,1970,75:4997–5009
20 Trifunac M D.A method for synthesizing realistic strong ground motion.Bull Seismological Society Am,1971,61:1739–1753
21 Wong H L,Trifunac M D.Generation of artificial strong motion accelerograms.Earthquake Eng Struct Dyn,1979,77:509–527
22 Dziewonski A M,Anderson D L.Preliminary reference Earth model.Phys Earth Planet Inter,1981,25:297–356
2 Douglas J,Aochi H.A survey of techniques for predicting earthquake ground motion for engineering purpose.Surv Geophys,2008,29:187–220
3 Kanai K.Semi-empirical formula for the seismic characteristics of the ground.Bull Earthquake Res Inst,1957,35:309–325
4 Kanai K.An empirical formula for the spectrum of strong earthquake motions.Bull Earthquake Res Inst,1961,39:85–95
5 Ruiz P T,Penzien J.Probabilistic study of the behavior of structures during earthquakes.UCB/EERC-69/03,1969
6欧进萍,牛荻涛.地震地面运动随机过程模型的参数及其结构反应.哈尔滨建筑工程学院学报,1990,2:24–34
7李杰,艾晓秋.基于物理的随机地震动模型研究.地震工程与工程振动,2006,26:21–26
8 Boore D M.Simulation of ground motion using the stochastic method.Pure Appl Geophys,2003,160:635–676
9 Aki K,Richards P G.Quantitative Seismology Theory and Methods.San Francisco:W.H.Freeman and Company,1980.9–35
10 Pujol J.Elastic Wave Propagation and Generation in Seismology.Cambridge:Cambridge University Press,2003.84–99
11廖振鹏.工程波动理论导论.第二版.北京:科学出版社,2002.16–25
12 Tsien H S.Engineering Cybernetics.New York:McGraw-Hill,1954.7–11
13 Doebelin E O.System Model and Response.New York:John Wiley&Sons,1980.26–32
14李杰.工程结构随机动力激励的物理模型.见:李杰,陈建兵,主编.随机振动理论与应用新进展.上海:同济大学出版社,2008.119–132
15 Haskell N A.Total energy and energy spectral density of elastic wave radiation from propagating faults.Bull Seismological Society Am,1964,54:1811–1841
16 Haskell N A.Total energy and energy spectral density of elastic wave radiation from propagating faults.Part II.A statistical source model.Bull Seismological Society Am,1966,56:125–140
17 Aki K.Scaling law of seismic spectrum.J Geophys Res,1967,72:1217–1231
18 Aki K.Scaling law of earthquake source time-function.Geophys J G Astr Soc,1972,31:3–25
19 Brune J N.Tectonic stress and the spectra of seismic shear waves from earthquakes.J Geophys Res,1970,75:4997–5009
20 Trifunac M D.A method for synthesizing realistic strong ground motion.Bull Seismological Society Am,1971,61:1739–1753
21 Wong H L,Trifunac M D.Generation of artificial strong motion accelerograms.Earthquake Eng Struct Dyn,1979,77:509–527
22 Dziewonski A M,Anderson D L.Preliminary reference Earth model.Phys Earth Planet Inter,1981,25:297–356
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