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Orthogonal expansion of ground motion and PDEM-based seismic response analysis of nonlinear structures
Authors:Jie Li  Zhangjun Liu  Jianbing Chen
Institution:1. State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China
2. College of Civil & Hydroelectric Engineering, China Three Gorges University, Yichang 443002, China;State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China
Abstract:This paper introduces an orthogonal expansion method for general stochastic processes.In the method,a normalized orthogonal function of time variable t is first introduced to carry out the decomposition of a stochastic process and then a correlated matrix decomposition technique,which transforms a correlated random vector into a vector of standard uncorrelated random variables,is used to complete a double orthogonal decomposition of the stochastic processes. Considering the relationship between the Hartley ...
Keywords:seismic ground motion  stochastic processes  orthogonal expansion  probability density evolution method  nonlinear structures  stochastic response analysis
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