Stochastically Perturbed Linear Gyroscopic Systems

N Sri Namachchivaya, S. T. Ariaratnam

Research output: Contribution to journalArticlepeer-review

Abstract

Dynamic stability of linear conservative gyroscopic systems under stochastic parametric excitations of small intensity is examined. Conditions for mean square stability of dynamic response are obtained. Results are shown to depend only on those values of the excitation spectral density near twice the natural frequencies and the combination frequencies of the system. These results are applied to the problem of flow induced vibration in a supported pipe conveying fluid with pulsating velocity. The effects of mean flow velocity and virtual mass on the extent of parametric instability regions are then discussed.

Original languageEnglish (US)
Pages (from-to)323-345
Number of pages23
JournalMechanics of Structures and Machines
Volume15
Issue number3
DOIs
StatePublished - Jan 1 1987

ASJC Scopus subject areas

  • Engineering(all)

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