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An optimal shifting vector approach for efficient probabilistic design

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Abstract

The application of reliability-based design optimization (RBDO) is hindered by the unbearable computational cost in the structure reliability evaluating process. This study proposes an optimal shifting vector (OSV) approach to enhance the efficiency of RBDO. In OSV, the idea of using an optimal shifting vector in the decoupled method and the notation of conducting reliability analysis in the super-sphere design space are proposed. The shifted limit state function, instead of the specific performance function, is used to identify the inverse most probable point (IMPP) and derive the optimal shifting vector for accelerating the optimization process. The super-sphere design space is applied to reduce the number of constraints and design variables for the novel reliability analysis model. OSV is very efficient for highly nonlinear problems, especially when the contour lines of the performance functions vary widely. The computation capability of the proposed method is demonstrated and compared to existing RBDO methods using four mathematical and engineering examples. The comparison results show that the proposed OSV approach is very efficient.

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Acknowledgements

Financial support from the National Natural Science Foundation of China under Grant No. 51175199; National Natural Science Foundation of China under Grant No. 51121002; National technology major projects under Grant No. 2011ZX04002-091 and Huazhong University of Science and Technology Innovation Fund of independent under Grant No. 2011TS068 are gratefully acknowledged.

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Authors and Affiliations

  1. The State Key Laboratory of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, 1037 Luoyu Road, 430074, Wuhan, People’s Republic of China

    Zhenzhong Chen, Haobo Qiu, Liang Gao & Peigen Li

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  1. Zhenzhong Chen
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  2. Haobo Qiu
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  3. Liang Gao
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  4. Peigen Li
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Correspondence to Haobo Qiu.

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Chen, Z., Qiu, H., Gao, L. et al. An optimal shifting vector approach for efficient probabilistic design. Struct Multidisc Optim 47, 905–920 (2013). https://doi.org/10.1007/s00158-012-0873-6

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  • DOI: https://doi.org/10.1007/s00158-012-0873-6

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