Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design

Author:

Du Xiaoping1,Chen Wei2

Affiliation:

1. Department of Mechanical and Aerospace Engineering, University of Missouri‐Rolla, Rolla, MO 65409–4494

2. Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208-3111

Abstract

Probabilistic design, such as reliability-based design and robust design, offers tools for making reliable decisions with the consideration of uncertainty associated with design variables/parameters and simulation models. Since a probabilistic optimization often involves a double-loop procedure for the overall optimization and iterative probabilistic assessment, the computational demand is extremely high. In this paper, the sequential optimization and reliability assessment (SORA) is developed to improve the efficiency of probabilistic optimization. The SORA method employs a single-loop strategy with a serial of cycles of deterministic optimization and reliability assessment. In each cycle, optimization and reliability assessment are decoupled from each other; the reliability assessment is only conducted after the deterministic optimization to verify constraint feasibility under uncertainty. The key to the proposed method is to shift the boundaries of violated constraints (with low reliability) to the feasible direction based on the reliability information obtained in the previous cycle. The design is quickly improved from cycle to cycle and the computational efficiency is improved significantly. Two engineering applications, the reliability-based design for vehicle crashworthiness of side impact and the integrated reliability and robust design of a speed reducer, are presented to demonstrate the effectiveness of the SORA method.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference32 articles.

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2. Carter, A. D. S., 1997, Mechanical Reliability and Design, New York, Wiley.

3. Grandhi, R. V., and Wang, L. P., 1998, “Reliability-Based Structural Optimization Using Improved Two-Point Adaptive Nonlinear Approximations,” Finite Elem. Anal. Design, 29(1), pp. 35–48.

4. Wu, Y.-T., and Wang, W., 1996, “A New Method for Efficient Reliability-Based Design Optimization,” Probabilistic Mechanics & Structural Reliability: Proceedings of the 7th Special Conference, pp. 274–277.

5. Taguchi, G., 1993, Taguchi on Robust Technology Development: Bringing Quality Engineering Upstream, ASME Press, New York.

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