In this paper a fast stochastic analysis method is presented to compute the seismic response of the soil-structure interaction system. Using the classical modal decomposition and the pseudo-force method, a closed form sequence is developed for iterative computation. It can account for the non-proportional damping and dynamic interaction between the soil region and the structure. Moreover, the pseudo-excitation method is introduced in the derivation for improving the computational efficiency of the stochastic analysis. The necessary and sufficient condition for convergence of the sequence is also provided. Compared with the forced decoupling method, the proposed method can significantly improve the accuracy of the results without obviously increasing computational efforts. In the end, some numerical examples are carried out to examine the accuracy and convergence of the new method.
Keywords: soil-structure interaction system; stochastic analysis; iterative method.
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