0
Research Papers: Design Automation

Time-Dependent System Reliability Analysis Using Random Field Discretization

[+] Author and Article Information
Zhen Hu

Department of Civil and
Environmental Engineering,
Vanderbilt University,
279 Jacobs Hall,
VU Mailbox: PMB 351831,
Nashville, TN 37235
e-mail: zhen.hu@vanderbilt.edu

Sankaran Mahadevan

Professor
Department of Civil and
Environmental Engineering,
Vanderbilt University,
272 Jacobs Hall,
VU Mailbox: PMB 351831,
Nashville, TN 37235
e-mail: sankaran.mahadevan@vanderbilt.edu

Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received April 29, 2015; final manuscript received August 11, 2015; published online September 2, 2015. Assoc. Editor: Xiaoping Du.

J. Mech. Des 137(10), 101404 (Sep 02, 2015) (10 pages) Paper No: MD-15-1334; doi: 10.1115/1.4031337 History: Received April 29, 2015; Revised August 11, 2015

This paper proposes a novel and efficient methodology for time-dependent system reliability analysis of systems with multiple limit-state functions of random variables, stochastic processes, and time. Since there are correlations and variations between components and over time, the overall system is formulated as a random field with two dimensions: component index and time. To overcome the difficulties in modeling the two-dimensional random field, an equivalent Gaussian random field is constructed based on the probability equivalency between the two random fields. The first-order reliability method (FORM) is employed to obtain important features of the equivalent random field. By generating samples from the equivalent random field, the time-dependent system reliability is estimated from Boolean functions defined according to the system topology. Using one system reliability analysis, the proposed method can get not only the entire time-dependent system probability of failure curve up to a time interval of interest but also two other important outputs, namely, the time-dependent probability of failure of individual components and dominant failure sequences. Three examples featuring series, parallel, and combined systems are used to demonstrate the effectiveness of the proposed method.

FIGURES IN THIS ARTICLE
<>
Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Three-level illustration of time-dependent system reliability analysis

Grahic Jump Location
Fig. 2

Flowchart for surrogate modeling of β̂(d) and ρ̂L(di, dj)

Grahic Jump Location
Fig. 3

An example of a network system: (a) Wheatstone bridge system, (b) I3 = 1, and (c) I3 = 0

Grahic Jump Location
Fig. 4

A function generator mechanism system

Grahic Jump Location
Fig. 5

Time-dependent system probability of failure and failure sequences: (a) component 1, (b) component 2, (c) system, and (d) failure sequences

Grahic Jump Location
Fig. 6

A Daniels system with two components

Grahic Jump Location
Fig. 7

Time-dependent system probability of failure and failure sequences of example 2: (a) component 1, (b) component 2, (c) system, and (d) failure sequences

Grahic Jump Location
Fig. 8

(a) A six-bar indeterminate truss and (b) system configuration

Grahic Jump Location
Fig. 9

Time-dependent component probability of failure: (a) component 1, (b) component 2, (c) component 3, (d) component 4, (e) component 5, and (f) component 6

Grahic Jump Location
Fig. 10

Time-dependent system probability of failure

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
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