Abstract
The dynamic responses analysis method of structure with random parameters under stochastic seismic loads is proposed. The generalized probability density evolution equation for compound stochastic process is solved by the finite difference method. Then, for the first passage criterion, the dynamic reliability is analysed by establishing the one-dimensional integral in safe domain and the absorbing boundary condition. A new optimization method is coming up combining improved genetic algorithm and PDEM. Taking the parameters optimization of a three-story floor-shear frame structure with TMD under random seismic loads as an example, the correctness of the proposed method is verified by comparing interlayer displacement response and dynamic reliability.
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