Abstract
Reliability-based design optimization (RBDO) is powerful for probabilistic constraint problems. Metamodeling is usually used in RBDO to reduce the computational cost. Kriging model-based RBDO is very suitable to solve engineering problems with implicit constraint functions. However, the efficiency and accuracy of the kriging model constrain its use in RBDO. In this research, the importance boundary sampling (IBS) method is enhanced by the probability feasible region (PFR) method to fit kriging model with high accuracy. The proposed probability feasible region enhanced importance boundary sampling (PFRE-IBS) method selects sample points for inactive constraint functions only in its important region, thus reducing the number of sample points to improve the efficiency of sampling method. In order to verify the efficiency and accuracy of the proposed PFRE-IBS method, three RBDO problems are used in this paper. The comparison results with other sampling methods show that the proposed PFRE-IBS method is very efficient and accurate.
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Funding
Financial supports from the Fundamental Research Funds for the Central Universities of China (grant number 18D110316); Key Scientific and Technological Research Projects in Henan Province (grant number 192102210069); and Natural Science Foundation of Shanghai (grant number 19ZR1401600) are gratefully acknowledged.
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For facilitate replication of the results of this paper, some important MATLAB code are shown in Fig. 17.
The MATLAB code of PFRE-IBS method
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Highlights
1. In the proposed probability feasible region enhanced important boundary sampling (PFRE-IBS) method, sample points selected for the constraint functions are executed separately. PFRE-IBS method can build metamodel efficiently and accurately.
2. Probabilistic feasible region (PFR) method is used to solve reliability-based design optimization (RBDO) problems. PFR method can also classify functions and distinguish whether they are active or inactive.
3. PFRE-IBS method only selects sample points for active constraint functions.
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Wu, Z., Chen, Z., Chen, G. et al. A probability feasible region enhanced important boundary sampling method for reliability-based design optimization. Struct Multidisc Optim 63, 341–355 (2021). https://doi.org/10.1007/s00158-020-02702-4
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DOI: https://doi.org/10.1007/s00158-020-02702-4