Error Measure for Reliability Studies Using Reduced Variable Set
Publication: Journal of Engineering Mechanics
Volume 121, Issue 8
Abstract
A reduction in the number of random variables carried in a structural-reliability analysis can be achieved by an orthogonal transformation of the basic random vector to a vector of independent standard normal variables, followed by a reduction procedure similar to that employed in modal analysis in structural dynamics. This paper investigates the error introduced by this reduction in the representation of random fields through orthogonal-series expansions. It is found that the error in the second-moment representation of a random field is bounded by the reduction error, which is easily computed, when the correlation length of the random field is short; this often is the case in stochastic finite-element analysis.
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Information
Published In
Journal of Engineering Mechanics
Volume 121 • Issue 8 • August 1995
Pages: 935 - 937
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Aug 1, 1995
Published in print: Aug 1995
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