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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January 2012
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A Sequential Algorithm for Reliability-Based Robust Design Optimization Under Epistemic Uncertainty
Yuanfu Tang,
Yuanfu Tang
Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Department of Mechanics,
e-mail: rlandty@gmail.com
HuaZhong University of Science and Technology
, Wuhan, Hubei 430074, China
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Jianqiao Chen,
Jianqiao Chen
Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Department of Mechanics,
e-mail: mech-chen@263.net
HuaZhong University of Science and Technology
, Wuhan, Hubei 430074, China
Search for other works by this author on:
Junhong Wei
Junhong Wei
Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Department of Mechanics,
e-mail: Weijunhong2@163.com
HuaZhong University of Science and Technology
, Wuhan, Hubei 430074, China
Search for other works by this author on:
Yuanfu Tang
Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Department of Mechanics,
HuaZhong University of Science and Technology
, Wuhan, Hubei 430074, China
e-mail: rlandty@gmail.com
Jianqiao Chen
Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Department of Mechanics,
HuaZhong University of Science and Technology
, Wuhan, Hubei 430074, China
e-mail: mech-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, China
e-mail: Weijunhong2@163.com
J. Mech. Des. Jan 2012, 134(1): 014502 (10 pages)
Published Online: January 4, 2012
Article history
Received:
April 12, 2011
Revised:
October 17, 2011
Online:
January 4, 2012
Published:
January 4, 2012
Citation
Tang, Y., Chen, J., and Wei, J. (January 4, 2012). "A Sequential Algorithm for Reliability-Based Robust Design Optimization Under Epistemic Uncertainty." ASME. J. Mech. Des. January 2012; 134(1): 014502. https://doi.org/10.1115/1.4005442
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