Abstract
The purpose of this study is to develop a new method for evaluating non-stationary responses of a multi-degree-of-freedom bilinear hysteretic system under stochastic excitations. The central difference method employed in this study enables without the conventional equivalent linearization method to evaluate the stochastic responses including residual plastic displacements. The effectiveness and accuracy of the presented method are demonstrated through the comparison with the Monte-Carlo simulations. Moreover, influences of the intensity and the spectral characteristics of input motions are investigated and shown on the resulting residual displacements.