Limit state function identification using Support Vector Machines for discontinuous responses and disjoint failure domains

Anirban Basudhar, Samy Missoum, Antonio Harrison Sanchez

Research output: Contribution to journalArticle

100 Scopus citations

Abstract

This article presents a method for the explicit construction of limit state functions using Support Vector Machines (SVM). Specifically, the approach aims at handling the difficulties associated with the reliability assessment of problems exhibiting discontinuous responses and disjoint failure domains. The SVM-based explicit construction of limit state functions allows for an easy calculation of a probability of failure and enables the association of a specific system behavior with a region of the design space. The explicit limit state function can then be used within a reliability-based design optimization (RBDO) problem. Two problems are presented to demonstrate the successful application of the developed method for explicit construction of limit state function and reliability-based optimum design.

Original languageEnglish (US)
Pages (from-to)1-11
Number of pages11
JournalProbabilistic Engineering Mechanics
Volume23
Issue number1
DOIs
StatePublished - Jan 1 2008

Keywords

  • Discontinuities
  • Disjoint failure domains
  • Limit state functions
  • Reliability-based design optimization
  • Support Vector Machines

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Civil and Structural Engineering
  • Nuclear Energy and Engineering
  • Condensed Matter Physics
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering

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