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A physical stochastic ground motion model and the extended Bouc–Wen model are incorporated into the probability density evolution method for stochastic seismic response analysis of structures exhibiting high nonlinearity. Fundamentals and numerical algorithms for the synthesized method are described. Case studies demonstrate that coupling of nonlinearity and randomness will greatly change the response...
A strategy of determining representative point sets through the number theoretical method (NTM) in analysis of nonlinear stochastic structures is proposed. The newly developed probability density evolution method, applicable to general nonlinear structures involving random parameters, is capable of capturing instantaneous probability density function. In the present paper, the NTM is employed to pick...
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