Reliability and robustness are two main attributes of design under uncertainty. Hence, it is necessary to combine reliability-based design and robust design at the design stage. In this paper, a unified framework for integrating reliability-based design and robust design is proposed. In the proposed framework, the probabilistic objective function is converted to a deterministic objective function by the Taylor series expansion or inverse reliability strategy with accounting for the probabilistic characteristic of the objective function. Therefore, with this unified framework, there is no need to deal with a multiobjective optimization problem to integrate reliability-based design and robust design any more. The probabilistic constraints are converted to deterministic constraints with inverse reliability strategy at the same time. In order to solve the unified framework, an improved sequential optimization and reliability assessment method is proposed. Three examples are given to illustrate the benefits of the proposed methods.
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e-mail: wzhonglai@uestc.edu.cn
e-mail: hzhuang@uestc.edu.cn
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A Unified Framework for Integrated Optimization Under Uncertainty
Zhonglai Wang,
Zhonglai Wang
School of Mechanical and Electronic Engineering,
e-mail: wzhonglai@uestc.edu.cn
University of Electronic Science and Technology of China
, Chengdu, Sichuan 611731, P.R. China
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Hong-Zhong Huang,
Hong-Zhong Huang
School of Mechanical and Electronic Engineering,
e-mail: hzhuang@uestc.edu.cn
University of Electronic Science and Technology of China
, Chengdu, Sichuan 611731, P.R. China
Search for other works by this author on:
Yu Liu
Yu Liu
School of Mechanical and Electronic Engineering,
University of Electronic Science and Technology of China
, Chengdu, Sichuan 611731, P.R. China
Search for other works by this author on:
Zhonglai Wang
School of Mechanical and Electronic Engineering,
University of Electronic Science and Technology of China
, Chengdu, Sichuan 611731, P.R. Chinae-mail: wzhonglai@uestc.edu.cn
Hong-Zhong Huang
School of Mechanical and Electronic Engineering,
University of Electronic Science and Technology of China
, Chengdu, Sichuan 611731, P.R. Chinae-mail: hzhuang@uestc.edu.cn
Yu Liu
School of Mechanical and Electronic Engineering,
University of Electronic Science and Technology of China
, Chengdu, Sichuan 611731, P.R. ChinaJ. Mech. Des. May 2010, 132(5): 051008 (8 pages)
Published Online: May 17, 2010
Article history
Received:
January 23, 2009
Revised:
January 5, 2010
Online:
May 17, 2010
Published:
May 17, 2010
Citation
Wang, Z., Huang, H., and Liu, Y. (May 17, 2010). "A Unified Framework for Integrated Optimization Under Uncertainty." ASME. J. Mech. Des. May 2010; 132(5): 051008. https://doi.org/10.1115/1.4001526
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