Uncertainties, inevitable in nature, can be classified as probability based and interval based uncertainties in terms of its representations. Corresponding optimization strategies have been proposed to deal with these two types of uncertainties. It is more likely that both types of uncertainty can occur in one single problem, and thus, it is trivial to treat all uncertainties the same. A novel formulation for reliability-based design optimization (RBDO) under mixed probability and interval uncertainties is proposed in this paper, in which the objective variation is concerned. Furthermore, it is proposed to efficiently solve the worst-case parameter resulted from the interval uncertainty by utilizing the Utopian solution presented in a single-looped robust optimization (RO) approach where the inner optimization can be solved by matrix operations. The remaining problem can be solved utilizing any existing RBDO method. This work applies the performance measure approach to search for the most probable failure point (MPFP) and sequential quadratic programing (SQP) to solve the entire problem. One engineering example is given to demonstrate the applicability of the proposed approach and to illustrate the necessity to consider the objective robustness under certain circumstances.
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November 2016
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Reliability-Based Design Optimization Concerning Objective Variation Under Mixed Probabilistic and Interval Uncertainties
Jianhua Zhou,
Jianhua Zhou
National Engineering Laboratory for the Automotive
Electronic Control Technology,
Shanghai Jiao Tong University,
Shanghai 200240, China
Electronic Control Technology,
Shanghai Jiao Tong University,
Shanghai 200240, China
Search for other works by this author on:
Min Xu,
Min Xu
National Engineering Laboratory for the Automotive
Electronic Control Technology,
Shanghai Jiao Tong University,
Shanghai 200240, China
Electronic Control Technology,
Shanghai Jiao Tong University,
Shanghai 200240, China
Search for other works by this author on:
Mian Li
Mian Li
National Engineering Laboratory for the Automotive
Electronic Control Technology;
Electronic Control Technology;
University of Michigan-Shanghai Jiao Tong University
Joint Institute,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: mianli@sjtu.edu.cn
Joint Institute,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: mianli@sjtu.edu.cn
Search for other works by this author on:
Jianhua Zhou
National Engineering Laboratory for the Automotive
Electronic Control Technology,
Shanghai Jiao Tong University,
Shanghai 200240, China
Electronic Control Technology,
Shanghai Jiao Tong University,
Shanghai 200240, China
Min Xu
National Engineering Laboratory for the Automotive
Electronic Control Technology,
Shanghai Jiao Tong University,
Shanghai 200240, China
Electronic Control Technology,
Shanghai Jiao Tong University,
Shanghai 200240, China
Mian Li
National Engineering Laboratory for the Automotive
Electronic Control Technology;
Electronic Control Technology;
University of Michigan-Shanghai Jiao Tong University
Joint Institute,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: mianli@sjtu.edu.cn
Joint Institute,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: mianli@sjtu.edu.cn
1Corresponding author.
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received February 17, 2016; final manuscript received July 26, 2016; published online September 12, 2016. Assoc. Editor: Zissimos P. Mourelatos.
J. Mech. Des. Nov 2016, 138(11): 114501 (5 pages)
Published Online: September 12, 2016
Article history
Received:
February 17, 2016
Revised:
July 26, 2016
Citation
Zhou, J., Xu, M., and Li, M. (September 12, 2016). "Reliability-Based Design Optimization Concerning Objective Variation Under Mixed Probabilistic and Interval Uncertainties." ASME. J. Mech. Des. November 2016; 138(11): 114501. https://doi.org/10.1115/1.4034346
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