Stochastic Finite Element of Structural Vibration Based on Sensitivity Analysis

Abstract

In this paper, material properties, geometry parameters and applied loads are assumed to be stochastic, sensitivity computation of structural vibration is presented. The vibration equation of a system is transformed to a static problem by using the Newmark method. In order to develop computational efficiency and allow for efficient storage, the Preconditioned Conjugate Gradient method (PCG) is also employed. The PCG is an effective method for solving a large system of linear equations and belongs to methods of iteration with rapid convergence and high precision. An example is given respectively and calculated results are compared to validate the proposed methods.