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Research Papers

Design Optimization With Discrete and Continuous Variables of Aleatory and Epistemic Uncertainties

[+] Author and Article Information
Hong-Zhong Huang1

School of Mechatronics Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, Chinahzhuang@uestc.edu.cn

Xudong Zhang

School of Mechatronics Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China

1

Corresponding author.

J. Mech. Des 131(3), 031006 (Feb 05, 2009) (8 pages) doi:10.1115/1.3066712 History: Received January 31, 2008; Revised November 11, 2008; Published February 05, 2009

Reliability based design optimization has received increasing attention for satisfying high requirements on reliability and safety in structure design. However, in practical engineering design, there are both continuous and discrete design variables. Moreover, both aleatory uncertainty and epistemic uncertainty may associate with design variables. This paper proposes the formulation of random/fuzzy continuous/discrete variables design optimization (RFCDV-DO) and two different approaches for uncertainty analysis (probability/possibility analysis). A method named random/fuzzy sequential optimization and reliability assessment is proposed based on the idea of sequential optimization and reliability assessment to improve efficiency in solving RFCDV-DO problems. An engineering design problem is utilized to demonstrate the approaches and the efficiency of the proposed method.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Conversion of a probability/possibility constraint into deterministic constraint

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Figure 2

Shifted constraint

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Figure 3

Flowchart of RFSORA

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