For reliability-based design optimization (RBDO) problems, single loop approaches (SLA) are very efficient but prone to converge to inappropriate point for highly nonlinear constraint functions, and double loop approaches (DLA) are proven to be accurate but require more iterations to achieve stable results. In this paper, an adjusted advanced mean value (AAMV) method is firstly proposed to improve the robustness and efficiency of performance measure approach. The global convergence of the AAMV is guaranteed using sufficient descent condition for the reliability loop in RBDO. Then, a hybrid RBDO method is developed to improve the efficiency of DLA and accuracy of SLA, on the basis of sufficient descent condition and AAMV method, named as hybrid single and double loops (HSD) method. Three nonlinear concave and convex performance functions are used to illustrate the efficiency and robustness of the AAMV method; then the accuracy, robustness, and efficiency of the proposed HSD method are compared to current SLA and DLA through another three benchmark nonlinear RBDO examples. Results show that the AAMV is more robust and efficient than the existing reliability analysis methods. The HSD is more accurate than the SLA for highly nonlinear problems, and also exhibits a better performance than the DLA from the point of view of both robustness and efficiency.
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December 2016
Research-Article
A Hybrid Loop Approach Using the Sufficient Descent Condition for Accurate, Robust, and Efficient Reliability-Based Design Optimization
Behrooz Keshtegar,
Behrooz Keshtegar
Department of Civil Engineering,
University of Zabol,
Zabol 9861335-856, Iran
e-mail: Bkeshtegar@uoz.ac.ir
University of Zabol,
Zabol 9861335-856, Iran
e-mail: Bkeshtegar@uoz.ac.ir
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Peng Hao
Peng Hao
State Key Laboratory of Structural
Analysis for Industrial Equipment,
Department of Engineering Mechanics,
Dalian University of Technology,
Dalian 116023, China
e-mail: haopeng@dlut.edu.cn
Analysis for Industrial Equipment,
Department of Engineering Mechanics,
Dalian University of Technology,
Dalian 116023, China
e-mail: haopeng@dlut.edu.cn
Search for other works by this author on:
Behrooz Keshtegar
Department of Civil Engineering,
University of Zabol,
Zabol 9861335-856, Iran
e-mail: Bkeshtegar@uoz.ac.ir
University of Zabol,
Zabol 9861335-856, Iran
e-mail: Bkeshtegar@uoz.ac.ir
Peng Hao
State Key Laboratory of Structural
Analysis for Industrial Equipment,
Department of Engineering Mechanics,
Dalian University of Technology,
Dalian 116023, China
e-mail: haopeng@dlut.edu.cn
Analysis for Industrial Equipment,
Department of Engineering Mechanics,
Dalian University of Technology,
Dalian 116023, China
e-mail: haopeng@dlut.edu.cn
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received November 23, 2015; final manuscript received July 6, 2016; published online September 13, 2016. Assoc. Editor: Xiaoping Du.
J. Mech. Des. Dec 2016, 138(12): 121401 (11 pages)
Published Online: September 13, 2016
Article history
Received:
November 23, 2015
Revised:
July 6, 2016
Citation
Keshtegar, B., and Hao, P. (September 13, 2016). "A Hybrid Loop Approach Using the Sufficient Descent Condition for Accurate, Robust, and Efficient Reliability-Based Design Optimization." ASME. J. Mech. Des. December 2016; 138(12): 121401. https://doi.org/10.1115/1.4034173
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