First-Order Approximation Methods in Reliability-Based Design Optimization

[+] Author and Article Information
Anukal Chiralaksanakul

Civil and Environmental Engineering,  Vanderbilt University VU Station B # 351831, Nashville, TN 37235anukal.chiralaksanakul@vanderbilt.edu

Sankaran Mahadevan

Civil and Environmental Engineering,  Vanderbilt University VU Station B # 351831, Nashville, TN 37235sankaran.mahadevan@vanderbilt.edu

J. Mech. Des 127(5), 851-857 (Oct 08, 2004) (7 pages) doi:10.1115/1.1899691 History: Received June 21, 2004; Revised October 08, 2004

Efficiency of reliability-based design optimization (RBDO) methods is a critical criterion as to whether they are viable for real-world problems. Early RBDO methods are thus based primarily on the first-order reliability method (FORM) due to its efficiency. Recently, several first-order RBDO methods have been proposed, and their efficiency is significantly improved through problem reformulation and/or the use of inverse FORM. Our goal is to present these RBDO methods from a mathematical optimization perspective by formalizing FORM, inverse FORM, and associated RBDO reformulations. Through the formalization, their relationships are revealed. Using reported numerical studies, we discuss their numerical efficiency, convergence, and accuracy.

Copyright © 2005 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

A statement of the safety factor-based method

Grahic Jump Location
Figure 2

Step 1 and 2 of the SORA method (to be used in Figure 1)



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