NDLI: Sensitivity Analyses of FORM-Based and DRM-Based Performance Measure Approach for Reliability-Based Design Optimization

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Lee, Ikjin Kyung, K. Choi Du, Liu Gorsich, David
Copyright Year	2008
Abstract	In a gradient-based design optimization, it is necessary to know sensitivities of the constraint with respect to the design variables. In a reliability-based design optimization (RBDO), the constraint is evaluated at the most probable point (MPP) and called the probabilistic constraint, thus it requires the sensitivities of the probabilistic constraints at MPP. This paper presents the rigorous analytic derivation of the sensitivities of the probabilistic constraint at MPP for both First Order Reliability Method (FORM)-based Performance Measure Approach (PMA) and Dimension Reduction Method (DRM)-based PMA. Numerical examples are used to demonstrate that the analytic sensitivities agree very well with the sensitivities obtained from the finite difference method (FDM). However, since the sensitivity calculation at the true DRM-based MPP requires the second-order derivatives and additional MPP search, the sensitivity derivation at the approximated DRM-based MPP, which does not require the second-order derivatives and additional MPP search to find the DRM-based MPP, is proposed in this paper. A convergence study illustrates that the sensitivity at the approximated DRM-based MPP converges to the sensitivity at the true DRM-based MPP as the design approaches the optimum design. Hence, the sensitivity at the approximated DRM-based MPP is proposed to be used for the DRM-based RBDO to enhance the efficiency of the optimization.
Sponsorship	Design Engineering Division and Computers in Engineering Division
Starting Page	1133
Ending Page	1143
Page Count	11
File Format	PDF
ISBN	9780791843253
DOI	10.1115/DETC2008-49493
e-ISBN	0791838315
Volume Number	Volume 1: 34th Design Automation Conference, Parts A and B
Conference Proceedings	ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Language	English
Publisher Date	2008-08-03
Publisher Place	Brooklyn, New York, USA
Access Restriction	Subscribed
Subject Keyword	Most probable point (mpp) update Reliability-based design optimization (rbdo) Dimension reduction method (drm) Performance measure approach (pma) First-order reliability method (form) Inverse reliability analysis Sensitivity analyses Reliability-based optimization Dimensions Sensitivity analysis Reliability
Content Type	Text
Resource Type	Article

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