Computationally efficient solution procedure for stationary two-state problems in stochastic mechanics

T. J. Enneking, B F Spencer, I. P E Kinnmark

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

Abstract

A numerical procedure is presented for the solution of stationary two-state Markov process problems with a single source. The proposed solution method combines finite element and finite difference methods to take advantage of the specific form of the governing differential equation. The method is illustrated by determining the stationary response of the Duffing oscillator and the statistical moments of the time to reach a critical crack size for the stochastic fatigue crack growth problem. Excellent comparisons are shown between this method, previous analytical studies, and experimental results with a significant reduction in computer processing time and storage.

Original languageEnglish (US)
Title of host publicationProc ICOSSAR 89 5th Int Conf Struct Saf Reliab
PublisherPubl by ASCE
Pages1611-1618
Number of pages8
ISBN (Print)0872627438
StatePublished - 1989
Externally publishedYes
EventProceedings of ICOSSAR '89, the 5th International Conference on Structural Safety and Reliability, Part I - San Francisco, CA, USA
Duration: Aug 7 1989Aug 11 1989

Other

OtherProceedings of ICOSSAR '89, the 5th International Conference on Structural Safety and Reliability, Part I
CitySan Francisco, CA, USA
Period8/7/898/11/89

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Enneking, T. J., Spencer, B. F., & Kinnmark, I. P. E. (1989). Computationally efficient solution procedure for stationary two-state problems in stochastic mechanics. In Proc ICOSSAR 89 5th Int Conf Struct Saf Reliab (pp. 1611-1618). Publ by ASCE.