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RESEARCH PAPERS: Aerospace: Probabilistic Structural Design and Analysis

Advanced Reliability Methods for Structural Evaluation

[+] Author and Article Information
P. H. Wirsching

Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ

Y.-T. Wu

Department of Engineering Mechanics, Southwest Research Institute, San Antonio, TX

J. Eng. Ind 109(1), 19-23 (Feb 01, 1987) (5 pages) doi:10.1115/1.3187086 History: Received April 01, 1986; Online July 30, 2009

Abstract

Approximate solutions to the general structural reliability problem, i.e., computing probabilities of complicated functions of random variables, can be obtained efficiently by the fast probability integration (FPI) methods of Rackwitz-Fiessler and Wu. Relative to Monte Carlo, FPI methods have been found by the authors to require only about 1/10 of the computer time for probability levels of about 10−3 . For lower probabilities, the differences are more dramatic. FPI can also be employed in situations, e.g., finite element analyses when the relationship between variables is defined only by a numerical algorithm. Unfortunately, FPI requires an explicit function. A strategy is presented herein in which a computer routine is run repeatedly k times with selected perturbed values of the variables to obtain k solutions for a response variable Y. An approximating polynomial is fit to the k “data” sets. FPI methods are then employed for this explicit form. Examples are presented of the FPI method applied to an explicit form and applied to a problem in which a polynomial approximation is made for the response variable of interest.

Copyright © 1987 by ASME
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