Complementary Intersection Method (CIM) for system reliability analysis

Byeng D. Youn, Pingfeng Wang, Zhimin Xi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Researchers desire to evaluate system reliability uniquely and efficiently. Despite years of research, little progress has been made on system reliability analysis. Up to now, bound methods for system reliability prediction have been dominant. For system reliability bounds, the probabilities of the second or higher-order joint safety (or failure) events are assumed to be known exactly although there is no numerical method to evaluate them effectively. Two primary challenges in system reliability analysis are how to evaluate the probabilities of the second- or higher-order joint safety events and how to uniquely obtain the system reliability so that the system reliability can be used for Reliability-Based Design Optimization (RBDO). This paper proposes the Complementary Interaction Method (CIM) to define system reliability in terms of the probabilities of the component events, Ei = {X |Gi ≤ 0}, and the complementary interaction events, Eij = {X |G i· Gj < 0}. For large-scale systems, the probabilities of the component and complementary interaction events can be conveniently written in the CI-matrix. In this paper, three different reliability methods will be used to construct the CI-matrix numerically: First-Order Reliability Method (FORM), Second-Order Reliability Method (SORM), and the Eigenvector Dimension Reduction (EDR) method. Two examples will be employed to demonstrate that the CIM with the EDR method outperforms other methods for system reliability analysis in terms of efficiency and accuracy.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
Pages2069-2092
Number of pages24
StatePublished - Aug 7 2007
Externally publishedYes
Event48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference - Waikiki, HI, United States
Duration: Apr 23 2007Apr 26 2007

Publication series

NameCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Volume2
ISSN (Print)0273-4508

Other

Other48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
CountryUnited States
CityWaikiki, HI
Period4/23/074/26/07

ASJC Scopus subject areas

  • Architecture
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering

Fingerprint Dive into the research topics of 'Complementary Intersection Method (CIM) for system reliability analysis'. Together they form a unique fingerprint.

  • Cite this

    Youn, B. D., Wang, P., & Xi, Z. (2007). Complementary Intersection Method (CIM) for system reliability analysis. In Collection of Technical Papers - 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (pp. 2069-2092). (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference; Vol. 2).