A Single-Loop Approach for System Reliability-Based Design Optimization

[+] Author and Article Information
Jinghong Liang

Mechanical Engineering Department, Oakland University, Rochester, MI 48309jliang@oakland.edu

Zissimos P. Mourelatos1

Mechanical Engineering Department, Oakland University, Rochester, MI 48309mourelat@oakland.edu

Efstratios Nikolaidis

Mechanical, Industrial and Manufacturing Engineering Department, The University of Toledo, Toledo, OH 43606enikolai@eng.utoledo.edu


Corresponding author.

J. Mech. Des 129(12), 1215-1224 (Mar 02, 2007) (10 pages) doi:10.1115/1.2779884 History: Received June 21, 2006; Revised March 02, 2007

An efficient approach for series system reliability-based design optimization (RBDO) is presented. The key idea is to apportion optimally the system reliability among the failure modes by considering the target values of the failure probabilities of the modes as design variables. Critical failure modes that contribute the most to the overall system reliability are identified. This paper proposes a computationally efficient, system RBDO approach using a single-loop method where the searches for the optimum design and for the most probable failure points proceed simultaneously. Specifically, in each iteration, the optimizer uses approximated most probable failure points from the previous iteration to search for the optimum. A second-order Ditlevsen upper bound is used for estimating the system failure probability considering the joint failure probabilities of failure modes. Also, an easy to implement active strategy set is employed to improve algorithmic stability. The approach is demonstrated on two design examples involving a beam and an internal combustion engine.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 3

Optimization histories for the engine design example

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Figure 1

Overview of the single-loop RBDO algorithm and calculations performed in one iteration of single-loop algorithm

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Figure 2

Optimization history for the beam example

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Figure 4

Error in approximating the system failure probability by the sum of the mode probabilities when β1=2 (probability 0.023)

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Figure 5

Same as Fig. 4 but for β1=3 (probability 1.35×10−3)

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Figure 6

Same as Fig. 4 but for β1=4 (probability 3.18×10−5)




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