含随机介质工程场地地震反应分析
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摘要
针对场地介质具有随机特性的无限域地震波动分析问题,本文将随机结构正交展开理论与波动有限元散射问题的模拟技术相结合,形成了求解无限域含随机介质场地地震反应分析的波动有限元分析方法。该方法成功的避免了基于摄动思想各类方法的久期项的干扰,其正确性由Monte Carlo模拟得到验证。文章同时讨论了场地随机介质在地震作用下的反应特点及介质的随机性对场地反应量的影响。
In reference to infinite field seismic wave analysis of the site media with random features,the orthogonal expansion method of the random mechanism was combined with simulation technology of finite element scattering problem,therefore the wave finite element analysis method for solving the seismic response analysis with random media in infinite field was formed.This method was free from the secular problem of the corresponding methods which were based on perturbation idea,its correctness was proved by Monte Carlo simulation.At the same time,the reaction characteristics of the site random media under seismic action and the influence of media randomness on ground motion were also discussed.
In reference to infinite field seismic wave analysis of the site media with random features,the orthogonal expansion method of the random mechanism was combined with simulation technology of finite element scattering problem,therefore the wave finite element analysis method for solving the seismic response analysis with random media in infinite field was formed.This method was free from the secular problem of the corresponding methods which were based on perturbation idea,its correctness was proved by Monte Carlo simulation.At the same time,the reaction characteristics of the site random media under seismic action and the influence of media randomness on ground motion were also discussed.
引文
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[8]李杰.随机结构系统———分析与建模[M].北京:科学出版社,1996.
[9]李山有,廖振鹏.大型结构地震反应值模拟中的波动输入[J].地震工程与工程振动.2001,21(2):1-5.
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[2]Uscinski B.J.The elements of wave propagationinrandommedia[M].NewYork:McGraw-Hill,1977.
[3]Manolis G.D.,Shaw R.P.Harmonic wave propagation throughviscoelastic heterogeneous media exhibiting mild stochasticity?I.,Fundamental solutions[J].Soil Dynamics and EarthquakeEngineering.1996,15(2):119-127.
[4]Manolis G.D.,Shaw R.P.Harmonic wave propagation throughviscoelastic heterogeneous media exhibiting mildstochasticity?II.Applications[J].Soil Dynamics and Earth-quake Engineering.1996,15(2):129-139.
[5]Chu.L,Askar.A,and Cakmak.A.S.Earthquake waves in arandom medium[J].International journal for Numerical and ana-lytical methods in geomechanics.1981,5:79-96.
[6]廖松涛,李杰.考虑场地介质随机特性的无限域波动分析方法[J].力学学报,2003,35(2):199-205.
[7]廖振鹏.工程波动理论导引[M].北京:科学出版社,2002.
[8]李杰.随机结构系统———分析与建模[M].北京:科学出版社,1996.
[9]李山有,廖振鹏.大型结构地震反应值模拟中的波动输入[J].地震工程与工程振动.2001,21(2):1-5.
[10]Vanmarke E.,et.al.RandomFields and Stochastic Finite Ele-ments[J].Structural Safety.1986,No.3:143-166.
[11]朱位秋,任承坚.基于随机场局部平均的随机有限元法[J].团体力学学报,1988(4);285-292.
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