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ALMOST-SURE STABILITY OF LINEAR GYROSCOPIC SYSTEMS

✍ Scribed by V.J. NOLAN; N. SRI NAMACHCHIVAYA

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 236 KB
Volume: 227
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1999.2339

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✦ Synopsis

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 , are non-commensurable and the in"nitesimal generator associated with the noise process, (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.

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