On Random Field Discretization in Stochastic Finite Elements

[+] Author and Article Information
B. A. Zeldin, P. D. Spanos

Department of Mechanical Engineering, MS 321 George Brown School of Engineering, Rice University, Houston, TX 77005-1892

J. Appl. Mech 65(2), 320-327 (Jun 01, 1998) (8 pages) doi:10.1115/1.2789057 History: Received February 18, 1997; Revised September 17, 1997; Online October 25, 2007


Several traditional methods for discretizing random fields in stochastic mechanics applications are considered; they are the midpoint method, the interpolation method, and the local averaging method. A simple and computationally convenient criterion for estimating the accuracy of these discretization methods is developed. Also, the Volterra series representation of nonlinear input/output relationships is utilized to assess the effect of the random field discretization methods on the response variability of stochastic mechanics problems. The theoretical developments are elucidated by a numerical example involving a beam problem.

Copyright © 1998 by The American Society of Mechanical Engineers
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