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Research Papers: Design Automation

An Indicator Response Surface Method for Simulation-Based Reliability Analysis

[+] Author and Article Information
Tong Zou

Reliability Engineering, General Electric Energy; Engineering Division, 300 Garlington Road, Greenville, SC 29615tong.zou@ge.com

Zissimos P. Mourelatos1

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

Sankaran Mahadevan

Civil and Environmental Engineering Department, Vanderbilt University, Nashville, TN 37235sankaran.mahadevan@vanderbilt.edu

Jian Tu

 Vehicle Development Research Lab, General Motors R&D, Warren, MI 48090jian.tu@gm.com

1

Corresponding author.

J. Mech. Des 130(7), 071401 (May 19, 2008) (11 pages) doi:10.1115/1.2918901 History: Received August 21, 2006; Revised August 13, 2007; Published May 19, 2008

An accurate and efficient Monte Carlo simulation method is presented for limit-state-based reliability analysis at both component and system levels, using a response surface approximation of the failure indicator function. The cross-validated moving least squares method is used to construct the response surface of the indicator function, based on an optimum symmetric Latin hypercube sampling technique. The proposed method can handle problems with complicated limit state(s). Also, it can easily handle implicit, highly nonlinear limit-state functions, with variables of any statistical distributions and correlations. The method appears to be particularly efficient for multiple limit state and multiple design point problems. Three structural reliability examples are used to highlight its superior accuracy and efficiency over traditional reliability methods.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Indicator function for one-dimensional problem

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Figure 2

Success, transition, and failure regions based on indicator function values

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Figure 4

Flowchart of the proposed method

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Figure 5

Tuned vibration absorber

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Figure 6

Plot of the normalized amplitude y versus β1 and β2

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Figure 7

(a) Plot of indicator function with initial sample points (vibration absorber problem), (b) plot of indicator function including additional sample points (vibration absorber problem), and (c) limit-state plot and simulation results (vibration absorber problem)

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Figure 8

Portal frame structure and three plastic collapse mechanisms

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Figure 9

Three limit states of system collapse for portal frame structure

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Figure 10

(a) Plot of indicator function with initial sample points (portal frame problem), (b) plot of indicator function including additional sample points (portal frame problem), and (c) limit-state plot and simulation results (portal frame problem)

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Figure 11

Car body-door subsystem

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