Gaussian Outcrossings from Safe Convex Polyhedrons
Publication: Journal of Engineering Mechanics
Volume 109, Issue 1
Abstract
A simple upper and lower bound technique developed for the evaluation of the failure probability of a “weakest link” structural system is applied to a structural system having a convex, polyhedral safe set in the space of basic variables. The structure is subjected to a Gaussian vector‐load‐effect process. Conditional second moment calculus, as applied to the set of linear safety margins that completely define the problem, turn out to be an easy and elegant tool for this type of calculations. The upper bound is constructed by bounding the mean outcrossing rate of the vector process while the lower bound is obtained by discretizing the time variable in an optimal way.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 109 • Issue 1 • February 1983
Pages: 127 - 148
Copyright
Copyright © 1989 ASCE.
History
Published online: Feb 1, 1983
Published in print: Feb 1983
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