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Time-Dependent Reliability Analysis for Bivariate Responses

[+] Author Affiliations
Zhen Hu

Vanderbilt University, Nashville, TN

Zhifu Zhu, Xiaoping Du

Missouri University of Science and Technology, Rolla, MO

Paper No. IMECE2015-53441, pp. V014T08A020; 10 pages
  • ASME 2015 International Mechanical Engineering Congress and Exposition
  • Volume 14: Emerging Technologies; Safety Engineering and Risk Analysis; Materials: Genetics to Structures
  • Houston, Texas, USA, November 13–19, 2015
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5757-1
  • Copyright © 2015 by ASME


Time-dependent system reliability is measured by the probability that the responses of a system do not exceed prescribed failure thresholds over a period of time. In this work, an efficient time-dependent reliability analysis method is developed for bivariate responses that are general functions of random variables and stochastic processes. The proposed method is based on single and joint upcrossing rates, which are calculated by the First Order Reliability Method (FORM). The method can efficiently produce accurate upcrossing rates for the systems with two responses. The upcrossing rates can then be used for system reliability predictions with two responses. As the general system reliability may be approximated with the results from reliability analyses for individual responses and bivariate responses, the proposed method can be extended to reliability analysis for general systems with more than two responses. Two examples, including a parallel system and a series system, are presented.

Copyright © 2015 by ASME



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