NDLI: An Investigation of Nonlinearity of Reliability-Based Design Optimization Approaches

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An Investigation of Nonlinearity of Reliability-Based Design Optimization Approaches

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Kyung, K. Choi Byeng, D. Youn
Abstract	Deterministic optimum designs that are obtained without consideration of uncertainty could lead to unreliable designs, which call for a reliability approach to design optimization, using a Reliability-Based Design Optimization (RBDO) method. A typical RBDO process iteratively carries out a design optimization in an original random space (X-space) and reliability analysis in an independent and standard normal random space (U-space). This process requires numerous nonlinear mapping between X- and U-spaces for a various probability distributions. Therefore, the nonlinearity of RBDO problem will depend on the type of distribution of random parameters, since a transformation between X- and U-spaces introduces additional nonlinearity to reliability-based performance measures evaluated during the RBDO process. Evaluation of probabilistic constraints in RBDO can be carried out in two different ways: the Reliability Index Approach (RIA) and the Performance Measure Approach (PMA). Different reliability analysis approaches employed in RIA and PMA result in different behaviors of nonlinearity of RIA and PMA in the RBDO process. In this paper, it is shown that RIA becomes much more difficult to solve for non-normally distributed random parameters because of highly nonlinear transformations involved. However, PMA is rather independent of probability distributions because of little involvement of the nonlinear transformation.
Sponsorship	Design Engineering Division and Computers and Information in Engineering Division
Starting Page	881
Ending Page	890
Page Count	10
File Format	PDF
ISBN	0791836223
DOI	10.1115/DETC2002/DAC-34128
e-ISBN	0791836037
Volume Number	Volume 2: 28th Design Automation Conference
Conference Proceedings	ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Language	English
Publisher Date	2002-09-29
Publisher Place	Montreal, Quebec, Canada
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

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