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An adaptive hybrid approach for reliability-based design optimization

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Abstract

Reliability-based design optimization (RBDO) is a powerful tool for design optimization with consideration of uncertainty. It can be solved by double loop approaches or single loop approaches, while double loop approaches are robust but their implementation is computationally costly. On the other hand, single loop approaches are highly efficient but may have convergence problem for highly nonlinear performance measure functions. To mend their respective drawbacks, we resort to a transition between them and propose the so-called adaptive hybrid approach (AHA) to take advantage of these two approaches. Based on a function type criterion, AHA adaptively selects the single loop or double loop approaches during the iteration. When single loop strategy is selected, the advanced mean value (AMV) method is used. When double loop strategy is selected, an improved adaptive chaos control (ACC) method is proposed to searches for the most probable target point (MPTP) of black-box function robustly and efficiently. Four illustrative examples, including two nonlinear analytical problems and two engineering applications, demonstrate the superior efficiency and robustness of the AHA over other prevalent approaches.

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Acknowledgments

The support of the National Basic Research Program of China (Grant Nos. 2014CB046506 and 2014CB046803) and the National Natural Science Foundation of China (Grant Nos. 11372061 and 91315301) is greatly appreciated. The authors also thank Professor Bo Ping Wang in University of Texas at Arlington for his valuable suggestion to guarantee the quality of this paper.

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Authors and Affiliations

  1. Department of Engineering Mechanics, State Key Laboratory of Structural Analyses for Industrial Equipment, Dalian University of Technology, Dalian, 116024, China

    Gang Li, Zeng Meng & Hao Hu

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  1. Gang Li
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  2. Zeng Meng
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  3. Hao Hu
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Correspondence to Gang Li.

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Li, G., Meng, Z. & Hu, H. An adaptive hybrid approach for reliability-based design optimization. Struct Multidisc Optim 51, 1051–1065 (2015). https://doi.org/10.1007/s00158-014-1195-7

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  • DOI: https://doi.org/10.1007/s00158-014-1195-7

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