Almost-sure stability of linear gyroscopic systems

V. J. Nolan, N. Sri Namachchivaya

Research output: Contribution to journalArticlepeer-review


This paper studies the stability behaviour of a linear gyroscopic system parametrically perturbed by a (multiplicative) real noise of small intensity. To this end, its maximal Lyapunov exponent is calculated using the method of Sri Namachchivaya et al. [1]. The results derived are suitable for cases where the response frequencies ω12 are non-commensurable and the infinitesimal generator associated with the noise process, ξ(t) has a simple zero eigenvalue. These results are then employed to determine the almost-sure stability boundaries of a rotating shaft subjected to random axial loading.

Original languageEnglish (US)
Pages (from-to)105-130
Number of pages26
JournalJournal of Sound and Vibration
Issue number1
StatePublished - Oct 14 1999

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering


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