Bayesian reliability-based design optimization using Eigenvector Dimension Reduction (EDR) method
Document Type
Conference Proceeding
Publication Date
4-16-2007
Department
Department of Mechanical Engineering-Engineering Mechanics
Abstract
In the last decade, considerable advances have been made in reliability-based design optimization (RBDO). One assumption in RBDO is that the complete information of input uncertainties are known. However, this assumption is not valid in practical engineering applications, due to the lack of sufficient data. In practical engineering design, information concerning uncertainty parameters is usually in the form of finite samples. Existing methods in uncertainty based design optimization cannot handle design problems involving epistemic uncertainty with a shortage of information. Recently, a novel method referred to as Bayesian Reliability-Based Design Optimization (BRBDO) was proposed to properly handle design problems when engaging both epistemic and aleatory uncertainties [1]. However, when a design problem involves a large number of epistemic variables, the computation task for BRBDO becomes extremely expensive. Thus, a more accurate and more efficient reliability method is demanded for BRBDO. In this article, the recently proposed Eigenvector Dimension Reduction (EDR) Method will be used for BRBDO in order to increase its accuracy and efficiency. When using the EDR method to carry out Bayesian reliability analyses, the accuracy and efficiency are substantially improved. Two design examples involving both aleatory and epistemic variables are used to demonstrate the accuracy and efficiency of BRBDO integrating with the EDR method.
Publication Title
SAE Technical Papers
Recommended Citation
Wang, P.,
Youn, B.,
&
Wells, L.
(2007).
Bayesian reliability-based design optimization using Eigenvector Dimension Reduction (EDR) method.
SAE Technical Papers.
http://doi.org/10.4271/2007-01-0559
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/2896
Publisher's Statement
Copyright © 2007 SAE International. Publisher’s version of record: https://doi.org/10.4271/2007-01-0559