Optimal Design of Structural Vibrationbased on Stochastic Finite Element

Abstract

In this paper, material properties, geometry parameters and applied loads are assumed to be stochastic, the vibration equation of a system is transformed to a static problem by using the Newmark method and the Taylor expansion stochastic finite element method (TSFEM) is extended for the structural vibration analysis. The optimal design of structural vibration based on stochastic finite element is presented. An example is given respectively and the calculated results are compared to validate the proposed methods.