Solving of the Structural Fuzzy Reliability Analysis Method With Universal Grey Numbers

LIU Jie; QING Qi-xiang; ZHANG Qing-chun; CHEN Xiao-yue

doi:10.3879/j.issn.1000-0887.2015.03.006

Volume 36 Issue 3

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LIU Jie, QING Qi-xiang, ZHANG Qing-chun, CHEN Xiao-yue. Solving of the Structural Fuzzy Reliability Analysis Method With Universal Grey Numbers[J]. Applied Mathematics and Mechanics, 2015, 36(3): 285-293. doi: 10.3879/j.issn.1000-0887.2015.03.006

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Solving of the Structural Fuzzy Reliability Analysis Method With Universal Grey Numbers

doi: 10.3879/j.issn.1000-0887.2015.03.006

¹State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body (Hunan University), Changsha 410082, P.R.China;²Key Laboratory of Advanced Design and Simulation Techniques for Special Equipment of Ministry of Education (Hunan University), Changsha 410082, P.R.China;³Liaocheng Vocational & Technical College, Liaocheng, Shandong 252000, P.R.China

Funds: The National Key Technology R & D Program of China(2012BAH09B02)

Received Date: 2014-07-21
Rev Recd Date: 2014-12-21
Publish Date: 2015-03-15

Abstract

Abstract

To overcome the defects in the existing interval solving of the structural fuzzy reliability analysis method, a new method was proposed. Universal grey numbers were used to describe the basic uncertain parameters related to the probability distributions of the variables, and then these numbers were introduced into analysis of the fuzzy reliability of structures, to give more accurate results. The numerical example shows that the proposed method gets narrower intervals of structural reliability, and achieves more accurate reliability calculation results with less input information. What’s more, in comparison with the traditional fuzzy reliability calculation procedures, the proposed method provides more available and more accurate information about the safety degree of the related structure.
- interval,
- universal grey number,
- structural reliability,
- fuzzy reliability,
- uncertain parameter

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References(19)

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