Numerical solution of some three-state random vibration problems

S. F. Wojtkiewicz, L. A. Bergman, B F Spencer

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Abstract

This paper reports some of the recent efforts by the authors to examine the random vibration of mechanical systems of large dimension. A finite element solution method for the stationary three-dimensional Fokker-Planck equation, employing sparse storage and iterative solution strategies, is outlined and then applied to several representative systems. The first of these is a linear oscillator subjected to a first order linearly filtered Gaussian white noise process. This problem is used to verify and assess the accuracy of the method. After verification, two Duffing systems are analyzed, one exhibiting unimodal and the other bimodal response characteristics. Finally, some comparisons of the finite element results with those from Monte Carlo simulation are made for the two nonlinear systems.

Original languageEnglish (US)
Title of host publication15th Biennial Conference on Mechanical Vibration and Noise
Pages939-947
Number of pages9
Volume84
Edition3 Pt A/2
StatePublished - 1995
EventProceedings of the 1995 ASME Design Engineering Technical Conference - Boston, MA, USA
Duration: Sep 17 1995Sep 20 1995

Other

OtherProceedings of the 1995 ASME Design Engineering Technical Conference
CityBoston, MA, USA
Period9/17/959/20/95

ASJC Scopus subject areas

  • Engineering(all)

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    Wojtkiewicz, S. F., Bergman, L. A., & Spencer, B. F. (1995). Numerical solution of some three-state random vibration problems. In 15th Biennial Conference on Mechanical Vibration and Noise (3 Pt A/2 ed., Vol. 84, pp. 939-947)