Stochastic FEM Based on Local Averages of Random Vector Fields
Publication: Journal of Engineering Mechanics
Volume 118, Issue 3
Abstract
The formula for the covariances of the local averages of homogeneous random scalar fields over rectangular domains is first generalized to include the case of homogeneous random vector fields with quadrant symmetry. For nonhomogeneous random fields and/or nonrectangular domains, Gaussian quadrature is proposed to evaluate the means and covariances of the local averages of random vector fields. The stochastic finite‐element analysis based on the local averages of random vector fields is then formulated for static, eigenvalue, and stress‐intensity factor problems. The present stochastic finite‐element method (SFEM) is a generalization of the SFEM based on the local averages of random scalar fields and can be applied to any configuration of structure with several correlated random parameters and several correlated random loads. Numerical examples are examined to show the advantages of the present SFEM over the SFEM based on midpoint discretization, i.e., more rapid convergence and more efficiency.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 118 • Issue 3 • March 1992
Pages: 496 - 511
Copyright
Copyright © 1992 ASCE.
History
Published online: Mar 1, 1992
Published in print: Mar 1992
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