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An important boundary sampling method for reliability-based design optimization using kriging model

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Abstract

Reliability-based design optimization (RBDO) combined with metamodel is a powerful tool to deal with variation of system output induced by uncertainties during practical engineering design. In this paper, the importance boundary sampling (IBS) method is proposed to enhance the efficiency of Kriging-model-based RBDO. Rather than fitting all the parts of the limit state constraints precisely within the design region, the proposed IBS mainly selects sample points on the critical parts of the limit state constraints. Two importance coefficients are proposed to identify these critical boundary parts: the first importance coefficient is determined by the objective function value; and the second one is calculated using the joint probability density value of the design variables. The sampling and optimization processes are conducted alternately to select the sample points more rationally. The computation capability of the proposed method is demonstrated using several mathematical RBDO problems and a box girder design application. The comparison results show that the proposed IBS method is very efficient.

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Acknowledgment

Financial support from the National Natural Science Foundation of China under Grant No. 51405302; National Basic Research Program of China under Grant No 2014CB046705; National Natural Science Foundation of China under Grant No. 51175199 and National Natural Science Foundation of China under Grant No. 51121002 are gratefully acknowledged.

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  1. Shanghai Radio Equipment Research Institute, 203 Liping Road, 200090, Shanghai, People’s Republic of China

    Zhenzhong Chen & Siping Peng

  2. 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

    Xiaoke Li, Haobo Qiu, Huadi Xiong, Liang Gao & Peigen Li

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  1. Zhenzhong Chen
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  2. Siping Peng
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Correspondence to Haobo Qiu.

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Chen, Z., Peng, S., Li, X. et al. An important boundary sampling method for reliability-based design optimization using kriging model. Struct Multidisc Optim 52, 55–70 (2015). https://doi.org/10.1007/s00158-014-1173-0

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