Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 584863, 19 pages
Research Article

Stochastic Finite Element for Structural Vibration

Mechanical Department, Hubei University of Automotive Technology, Shiyan 442002, China

Received 17 December 2009; Revised 7 May 2010; Accepted 2 June 2010

Academic Editor: Carlo Cattani

Copyright © 2010 Mo Wenhui. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper proposes a new method of calculating stochastic field. It is an improvement of the midpoint method of stochastic field. The vibration equation of a system is transformed to a static problem by using the Newmark method and the Taylor expansion is extended for the structural vibration analysis with uncertain factors. In order to develop computational efficiency and allow for efficient storage, the Conjugate Gradient method (CG) is also employed. An example is given, respectively, and calculated results are compared to validate the proposed methods.