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Research Papers: Design Automation

Resilience Assessment Based on Time-Dependent System Reliability Analysis

[+] Author and Article Information
Zhen Hu

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

Sankaran Mahadevan

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

1Corresponding author.

Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received February 22, 2016; final manuscript received June 23, 2016; published online September 12, 2016. Assoc. Editor: Mian Li.

J. Mech. Des 138(11), 111404 (Sep 12, 2016) Paper No: MD-16-1140; doi: 10.1115/1.4034109 History: Received February 22, 2016; Revised June 23, 2016

Significant efforts have been recently devoted to the qualitative and quantitative evaluation of resilience in engineering systems. Current resilience evaluation methods, however, have mainly focused on business supply chains and civil infrastructure, and need to be extended for application in engineering design. A new resilience metric is proposed in this paper for the design of mechanical systems to bridge this gap, by investigating the effects of recovery activity and system failure paths on system resilience. The defined resilience metric is connected to design through time-dependent system reliability analysis. This connection enables us to design a system for a specific resilience target in the design stage. Since computationally expensive computer simulations are usually used in design, a surrogate modeling method is developed to efficiently perform time-dependent system reliability analysis. Based on the time-dependent system reliability analysis, dominant system failure paths are enumerated and then the system resilience is estimated. The connection between the proposed resilience assessment method and design is explored through sensitivity analysis and component importance measure (CIM). Two numerical examples are used to illustrate the effectiveness of the proposed resilience assessment method.

Copyright © 2016 by ASME
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Figures

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Fig. 1

A generalized representation of system resilience

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Fig. 2

Resilience considering different failure and recovery paths

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Fig. 3

Illustration of system QoI with failure and recovery

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Fig. 4

A system with brittle failure events

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Fig. 5

First-passage point of a realization for given X=x

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Fig. 6

An example of a combined system

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Fig. 8

Comparison of time-dependent system failure probability

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Fig. 9

Resilience of the roller clutch over 20 years

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Fig. 10

Resilience sensitivity of roller clutch

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Fig. 11

Resilience CIM analysis of roller clutch

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Fig. 12

A cantilever beam-bar system

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Fig. 13

Modified RBD of the cantilever beam-bar system (i|j stands for the failure of the ith component given that the jth component fails in Eqs. (61)(65)): (a) failure sequences and (b) RBD

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Fig. 14

Resilience of the cantilever beam-bar example

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Fig. 15

CIM analysis of the cantilever beam-bar example

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