0
research-article

Time-Dependent Reliability Analysis for Bivariate Responses

[+] Author and Article Information
Zhen Hu

Assistant Professor, Department of Industrial and Manufacturing Systems Engineering, University of Michigan-Dearborn, 2340 Heinz Prechter Engineering Complex (HPEC), Dearborn, MI, 48128
zhennhu@umich.edu

Zhifu Zhu

Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technology, 400 West 13th Street, Toomey Hall 290D, Rolla, MO 65401
zzgc5@mst.edu

Xiaoping Du

Professor, Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technology, 400 West 13th Street, Toomey Hall 290D, Rolla, MO 65401
dux@mst.edu

1Corresponding author.

ASME doi:10.1115/1.4038318 History: Received January 28, 2016; Revised October 18, 2017

Abstract

Time-dependent system reliability is computed as the probability that the responses of a system do not exceed prescribed failure thresholds over a time duration of interest. In this work, an efficient time-dependent reliability analysis method is proposed for systems with bivariate responses which are general functions of random variables and stochastic processes. Analytical expressions are derived first for the single and joint upcrossing rates based on the First Order Reliability Method (FORM). Time-dependent system failure probability is then estimated with the computed single and joint upcrossing rates. The method can efficiently and accurately estimate different types of upcrossing rates for the systems with bivariate responses when FORM is applicable. In addition, the developed method is applicable to general problems with random variables, stationary, and non-stationary stochastic processes. As the general system reliability can be approximated with the results from reliability analyses for individual responses and bivariate responses, the proposed method can be extended to reliability analysis of general systems with more than two responses. Three examples, including a parallel system, a series system, and a hydrokinetic turbine blade application, are used to demonstrate the effectiveness of the proposed method.

Copyright (c) 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Articles from Part A: Civil Engineering
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In