Journal article
Robust design optimization under dependent random variables by a generalized polynomial chaos expansion
Structural and multidisciplinary optimization, Vol.63(5), pp.2425-2457
03/01/2021
DOI: 10.1007/s00158-020-02820-z
Abstract
New computational methods are proposed for robust design optimization (RDO) of complex engineering systems subject to input random variables with arbitrary, dependent probability distributions. The methods are built on a generalized polynomial chaos expansion (GPCE) for determining the second-moment statistics of a general output function of dependent input random variables, an innovative coupling between GPCE and score functions for calculating the second-moment sensitivities with respect to the design variables, and a standard gradient-based optimization algorithm, establishing direct GPCE, single-step GPCE, and multi-point single-step GPCE design processes. New analytical formulae are unveiled for design sensitivity analysis that is synchronously performed with statistical moment analysis. Numerical results confirm that the proposed methods yield not only accurate but also computationally efficient optimal solutions of several mathematical and simple RDO problems. Finally, the success of conducting stochastic shape optimization of a steering knuckle demonstrates the power of the multi-point single-step GPCE method in solving industrial-scale engineering problems.
Details
- Title: Subtitle
- Robust design optimization under dependent random variables by a generalized polynomial chaos expansion
- Creators
- Dongjin Lee - University of IowaSharif Rahman - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Structural and multidisciplinary optimization, Vol.63(5), pp.2425-2457
- Publisher
- Springer Berlin Heidelberg
- DOI
- 10.1007/s00158-020-02820-z
- ISSN
- 1615-147X
- eISSN
- 1615-1488
- Grant note
- CMMI-1462385 / U.S. National Science Foundation CMMI-1933114 / U.S. National Science Foundation
- Language
- English
- Date published
- 03/01/2021
- Academic Unit
- Iowa Technology Institute; Mechanical Engineering
- Record Identifier
- 9984195164002771
Metrics
32 Record Views