The stochastic method of weighted residuals for predicting dynamic response of random structure under stochastic excitation

The paper develops a new stochastic weighted-residual method for predicting the dynamic response of a random structure under random excitation. This is achieved by employing a discretization technique in the time domain based on the method of weighted residuals. A trial function involving a third-order B-spline basis function is applied to a replacement of time integration of stochastic finite element dynamic equations of the structure. Efficient analysis techniques for the mean values and the variances of the dynamic response are described in detail. Numerical solution results of examples indicate that the approach presented herein effects an economical and efficient solution for such an analysis when compared with Monte Carlo simulation.