ON THE FIRST PASSAGE PROBLEM IN RANDOM VIBRATION FOR SIMPLE NONLINEAR OSCILLATORS.

B. F. Spencer, L. A. Bergman

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

Abstract

A robust Petrov-Galerkin finite element method is used to determine the first passage survival probability for simple single degree-of-freedom nonlinear oscillators. No assumptions are made about the narrow-bandedness of the response, width of failure bounds, or magnitude of the nonlinearity. The versatility of the method is illustrated for the classical case of the VanderPol oscillator for various failure bound widths and nonlinearities. The accuracy of the solution is then demonstrated by comparison of the finite element results with Monte Carlo simulation.

Original languageEnglish (US)
Title of host publicationTransactions of the International Conference on Structural Mechanics in Reactor Technology
PublisherNorth-Holland
Pages105-110
Number of pages6
ISBN (Print)0444869670
StatePublished - Dec 1 1985

Publication series

NameTransactions of the International Conference on Structural Mechanics in Reactor Technology
VolumeM1-M2
ISSN (Print)0167-563X

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Spencer, B. F., & Bergman, L. A. (1985). ON THE FIRST PASSAGE PROBLEM IN RANDOM VIBRATION FOR SIMPLE NONLINEAR OSCILLATORS. In Transactions of the International Conference on Structural Mechanics in Reactor Technology (pp. 105-110). (Transactions of the International Conference on Structural Mechanics in Reactor Technology; Vol. M1-M2). North-Holland.