TY - GEN
T1 - Stochastic stability of linear gyroscopic systems
T2 - Application to pipes conveying fluid
AU - Vedula, Lalit
AU - Sri Namachchivaya, N.
PY - 2002
Y1 - 2002
N2 - 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.
AB - 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.
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U2 - 10.1115/IMECE2002-39024
DO - 10.1115/IMECE2002-39024
M3 - Conference contribution
AN - SCOPUS:78249274526
SN - 0791836592
SN - 9780791836590
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings
SP - 1233
EP - 1241
BT - 5th International Symposium on Fluid Structure Interaction, Aeroelasticity, and Flow Induced Vibration and Noise
PB - American Society of Mechanical Engineers (ASME)
ER -