Robust design using Bayesian Monte Carlo

• Published in: International journal for numerical methods in engineering 2008-03, Vol.73 (11), p.1497-1517
• Main Authors: Kumar, Apurva, Nair, Prasanth B., Keane, Andy J., Shahpar, Shahrokh
• Format: Article
• Language: English
• Subjects: Applied sciences; Bayesian Monte Carlo; compressor blade; Exact sciences and technology; manufacturing uncertainty; Mechanical engineering. Machine design; multiobjective robust design; process capability; Pump and compressors (turbocompressors, fans, etc.)
• ISSN: 0029-5981; 1097-0207
• DOI: 10.1002/nme.2126

In this paper, we propose an efficient strategy for robust design based on Bayesian Monte Carlo simulation. Robust design is formulated as a multiobjective problem to allow explicit trade‐off between the mean performance and variability. The proposed method is applied to a compressor blade design in the presence of manufacturing uncertainty. Process capability data are utilized in conjunction with a parametric geometry model for manufacturing uncertainty quantification. High‐fidelity computational fluid dynamics simulations are used to evaluate the aerodynamic performance of the compressor blade. A probabilistic analysis for estimating the effect of manufacturing variations on the aerodynamic performance of the blade is performed and a case for the application of robust design is established. The proposed approach is applied to robust design of compressor blades and a selected design from the final Pareto set is compared with an optimal design obtained by minimizing the nominal performance. The selected robust blade has substantial improvement in robustness against manufacturing variations in comparison with the deterministic optimal blade. Significant savings in computational effort using the proposed method are also illustrated. Copyright © 2007 John Wiley & Sons, Ltd.