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Technical Briefs

A Sequential Algorithm for Reliability-Based Robust Design Optimization Under Epistemic Uncertainty

[+] Author and Article Information
Yuanfu Tang

Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Department of Mechanics,  HuaZhong University of Science and Technology, Wuhan, Hubei 430074, Chinarlandty@gmail.com

Jianqiao Chen1

Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Department of Mechanics,  HuaZhong University of Science and Technology, Wuhan, Hubei 430074, Chinamech-chen@263.net

Junhong Wei

Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Department of Mechanics,  HuaZhong University of Science and Technology, Wuhan, Hubei 430074, ChinaWeijunhong2@163.com

1

Corresponding author.

J. Mech. Des 134(1), 014502 (Jan 04, 2012) (10 pages) doi:10.1115/1.4005442 History: Received April 12, 2011; Revised October 17, 2011; Published January 04, 2012; Online January 04, 2012

In practical applications, there may exist a disparity between real values and optimal results due to uncertainties. This kind of disparity may cause violations of some probabilistic constraints in a reliability based design optimization (RBDO) problem. It is important to ensure that the probabilistic constraints at the optimum in a RBDO problem are insensitive to the variations of design variables. In this paper, we propose a novel concept and procedure for reliability based robust design in the context of random uncertainty and epistemic uncertainty. The epistemic uncertainty of design variables is first described by an info gap model, and then the reliability-based robust design optimization (RBRDO) is formulated. To reduce the computational burden in solving RBRDO problems, a sequential algorithm using shifting factors is developed. The algorithm consists of a sequence of cycles and each cycle contains a deterministic optimization followed by an inverse robustness and reliability evaluation. The optimal result based on the proposed model satisfies certain reliability requirement and has the feasible robustness to the epistemic uncertainty of design variables. Two examples are presented to demonstrate the feasibility and efficiency of the proposed method.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Illustration of shifting constraint boundary

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Figure 2

Comparison between SFRBRDO and SVRBRDO

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Figure 3

Shifting of constraint boundary with one random variable and one design variable

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Figure 4

Flowchart of the proposed method

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Figure 5

A cantilever plate

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Figure 6

Equivalent performance of a robustness constraint

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