✦ LIBER ✦

ALMOST-SURE STABILITY OF A GYROPENDULUM SUBJECTED TO WHITE-NOISE RANDOM SUPPORT MOTION

✍ Scribed by S.F. ASOKANTHAN; S.T. ARIARATNAM

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 162 KB
Volume: 235
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2000.2951

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✦ Synopsis

Instability behaviour of a gyropendulum subjected to white noise vertical support motion is examined. Conditions for almost-sure asymptotic stability are obtained explicitly. A stochastic averaging procedure is employed to evaluate the maximal Lyapunov exponent. The sign of this exponent determines the instability behaviour of this system. Closed-form expressions for the instability conditions obtained in this study are employed to predict the minimum level of damping required to ensure almost-sure asymptotic stability.

2000 Academic Press

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