ON THE DYNAMIC STABILITY OF GYROSCOPIC SYSTEMS.

N. Sri Namachchivaya, S. T. Ariaratnam

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Abstract

This investigation is concerned with the stability and bifurcation behavior of parametrically perturbed linear and nonlinear conservative gyroscopic systems. The perturbations are assumed to be periodic. For linear systems, explicit stability conditions for perturbations of small intensity are obtained using the method of averaging. A class of nonlinear conservative gyroscopic systems subjected to harmonic parametric excitation is also investigated, and conditions for stability of both the trivial and the bifurcating solutions are deduced. The general results obtained for both the linear and nonlinear systems are applied to investigate the stability of a rotating shaft.

Original languageEnglish (US)
Pages (from-to)313-355
Number of pages43
JournalSM archives
Volume10
Issue number4
StatePublished - Jan 1 1985

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ASJC Scopus subject areas

  • Engineering(all)

Cite this

Sri Namachchivaya, N., & Ariaratnam, S. T. (1985). ON THE DYNAMIC STABILITY OF GYROSCOPIC SYSTEMS. SM archives, 10(4), 313-355.