Stochastic stability of linear gyroscopic systems: Application to pipes conveying fluid

Lalit Vedula, N. Sri Namachchivaya

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we obtain asymptotic approximations for the moment Lyapunov exponent, g(p), and the Lyapunov exponent, λ, for a two-degree-of-freedom gyroscopic system close to a double zero resonance and subjected to small damping and noisy disturbances. Using a perturbation approach, we show analytically that the moment and the top Lyapunov exponent grow in proportion to ε1/3 when the damping and noise respectively are of O(ε) and O(√ε). These results, pertaining to pth moment stability and almost-sure stability of the trivial solution, are applied to study the stochastic stability of a pipe conveying pulsating fluid.

Original languageEnglish (US)
Title of host publication5th International Symposium on Fluid Structure Interaction, Aeroelasticity, and Flow Induced Vibration and Noise
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages1233-1241
Number of pages9
ISBN (Print)0791836592, 9780791836590
DOIs
StatePublished - 2002

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ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Vedula, L., & Sri Namachchivaya, N. (2002). Stochastic stability of linear gyroscopic systems: Application to pipes conveying fluid. In 5th International Symposium on Fluid Structure Interaction, Aeroelasticity, and Flow Induced Vibration and Noise (pp. 1233-1241). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2002-39024