Bounding Approximations to Some Quadratic Limit States
Publication: Journal of Engineering Mechanics
Volume 113, Issue 10
Abstract
In second‐order reliability problems the limit state surface is (locally) replaced by a quadratic surface. This leads to a study of quadratic forms in the basic uncertainty variables. The present paper exploits a simple, closed‐form expression for the distribution function of a special class of quadratic forms in zero‐mean Gaussian variables to obtain bounds on the distribution function of general quadratic forms in such variables. It is shown that these bounds can be used to obtain useful estimates of the failure probability for such models.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 113 • Issue 10 • October 1987
Pages: 1474 - 1492
Copyright
Copyright © 1987 ASCE.
History
Published online: Oct 1, 1987
Published in print: Oct 1987
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