Time-variant reliability problems caused by deterioration in material properties, dynamic load uncertainty, and other causes are widespread among practical engineering applications. This study proposes a novel time-variant reliability analysis method based on stochastic process discretization (TRPD), which provides an effective analytical tool for assessing design reliability over the whole lifecycle of a complex structure. Using time discretization, a stochastic process can be converted into random variables, thereby transforming a time-variant reliability problem into a conventional time-invariant system reliability problem. By linearizing the limit-state function with the first-order reliability method (FORM) and furthermore, introducing a new random variable, the converted system reliability problem can be efficiently solved. The TRPD avoids the calculation of outcrossing rates, which simplifies the process of solving time-variant reliability problems and produces high computational efficiency. Finally, three numerical examples are used to verify the effectiveness of this approach.
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September 2014
Research-Article
A Time-Variant Reliability Analysis Method Based on Stochastic Process Discretization
C. Jiang,
C. Jiang
1
State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
e-mail: jiangc@hnu.edu.cn
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
Hunan University
,Changsha 410082
, China
e-mail: jiangc@hnu.edu.cn
1Corresponding author.
Search for other works by this author on:
X. P. Huang,
X. P. Huang
State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
e-mail: huangxinping2501@163.com
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
Hunan University
,Changsha 410082
, China
e-mail: huangxinping2501@163.com
Search for other works by this author on:
X. Han,
X. Han
State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
e-mail: hanxu@hnu.edu.cn
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
Hunan University
,Changsha 410082
, China
e-mail: hanxu@hnu.edu.cn
Search for other works by this author on:
D. Q. Zhang
D. Q. Zhang
State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
e-mail: zhangdq@hnu.edu.cn
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
Hunan University
,Changsha 410082
, China
e-mail: zhangdq@hnu.edu.cn
Search for other works by this author on:
C. Jiang
State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
e-mail: jiangc@hnu.edu.cn
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
Hunan University
,Changsha 410082
, China
e-mail: jiangc@hnu.edu.cn
X. P. Huang
State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
e-mail: huangxinping2501@163.com
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
Hunan University
,Changsha 410082
, China
e-mail: huangxinping2501@163.com
X. Han
State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
e-mail: hanxu@hnu.edu.cn
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
Hunan University
,Changsha 410082
, China
e-mail: hanxu@hnu.edu.cn
D. Q. Zhang
State Key Laboratory of Advanced Design
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
e-mail: zhangdq@hnu.edu.cn
and Manufacturing for Vehicle Body,
College of Mechanical and Vehicle Engineering,
Hunan University
,Changsha 410082
, China
e-mail: zhangdq@hnu.edu.cn
1Corresponding author.
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received August 24, 2013; final manuscript received May 12, 2014; published online July 2, 2014. Assoc. Editor: Xiaoping Du.
J. Mech. Des. Sep 2014, 136(9): 091009 (11 pages)
Published Online: July 2, 2014
Article history
Received:
August 24, 2013
Revision Received:
May 12, 2014
Citation
Jiang, C., Huang, X. P., Han, X., and Zhang, D. Q. (July 2, 2014). "A Time-Variant Reliability Analysis Method Based on Stochastic Process Discretization." ASME. J. Mech. Des. September 2014; 136(9): 091009. https://doi.org/10.1115/1.4027865
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