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Research Papers: Design Automation

An Outcrossing Rate Model and Its Efficient Calculation for Time-Dependent System Reliability Analysis

[+] Author and Article Information
C. Jiang

State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
Hunan University,
Changsha City 410082, China
e-mail: jiangc@hnu.edu.cn

X. P. Wei

State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
Hunan University,
Changsha City 410082, China
e-mail: fnhusreeqg@hnu.edu.cn

Z. L. Huang

State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
Hunan University,
Changsha City 410082, China
e-mail: 13787181710@163.com

J. Liu

State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
Hunan University,
Changsha City 410082, China
e-mail: liujie@hun.edu.cn

1Corresponding author.

Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received April 2, 2016; final manuscript received December 15, 2016; published online February 20, 2017. Assoc. Editor: Nam H. Kim.

J. Mech. Des 139(4), 041402 (Feb 20, 2017) (10 pages) Paper No: MD-16-1264; doi: 10.1115/1.4035792 History: Received April 02, 2016; Revised December 15, 2016

Time-dependent reliability problems widely appear in the engineering practice when the material properties of the structure deteriorate in time or random loading modeled as random processes is involved. Among existing methods to the time-dependent reliability problems, the most dominating one is the outcrossing rate method. This paper presents an outcrossing rate model and its efficient calculation approach for system problems, and based on the presented model, a time-dependent system reliability analysis method is proposed. The main idea of the method is to transform the evaluation of the system outcrossing rates into the calculation of a time-invariant system reliability. Three numerical examples are used to demonstrate the effectiveness of the proposed method.

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Figures

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Fig. 1

A three-unit compound system

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Fig. 2

A simply supported beam [34]

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Fig. 3

The curves indicating the reliability indexes and failure probabilities for the simply supported beam over time

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Fig. 4

A two-component Daniels system [35]

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Fig. 5

The curves indicating the reliability indexes and failure probabilities for the two-component Daniels system over time

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Fig. 6

The structure of the mainboard of the server

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Fig. 7

Finite element model of the mainboard of the server

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