A gradient-based polynomial chaos approach for risk and reliability-based design optimization

This paper presents an approach for the solution of risk and reliability-based design optimization problems using gradient-based algorithms together with polynomial chaos expansions (PCE) for probability of failure evaluation and sensitivity analysis. The approach is intended to alleviate the comput...

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Bibliographic Details
Published in:Journal of the Brazilian Society of Mechanical Sciences and Engineering 2017-07, Vol.39 (7), p.2905-2915
Main Authors: Torii, A. J., Lopez, R. H., Miguel, L. F. F.
Format: Article
Language:English
Subjects:
Algorithms
Benchmarks
Chaos theory
Design analysis
Design optimization
Engineering
Failure analysis
Mechanical Engineering
Random variables
Reliability
Risk
Sensitivity analysis
Technical Paper
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Summary:This paper presents an approach for the solution of risk and reliability-based design optimization problems using gradient-based algorithms together with polynomial chaos expansions (PCE) for probability of failure evaluation and sensitivity analysis. The approach is intended to alleviate the computational burden required by such problems with accurate evaluation of probabilities of failure. Benchmark problems from the literature are solved to assess the effectiveness of the proposed approach and the results show that it is able to obtain accurate solutions with tractable computational effort. The main limitation of the proposed approach, inherited from the PCE, is that the computational effort grows very fast for an increasing number of random variables.
ISSN:1678-5878
1806-3691
DOI:10.1007/s40430-017-0815-8