Moment Lyapunov exponents and stochastic stability of moving narrow bands-Reference-Cited by-同舟云学术

Moment Lyapunov exponents and stochastic stability of moving narrow bands

Published:2010-10-11 Issue:7 Volume:17 Page:988-999
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Kozić Predrag¹,Pavlović Ratko²,Janevski Goran²,Stojanović Vladimir²

Affiliation:

1. Department of Mechanical Engineering, University of Niš, Niš, Serbia,

2. Department of Mechanical Engineering, University of Niš, Niš, Serbia

Abstract

Stochastic stability of narrow moving bands under random tension fluctuation is investigated within the concept of the Lyapunov exponent. The moment Lyapunov exponents and Lyapunov exponents are important characteristics determining the moment and almost-sure stability boundaries of a stochastic dynamical system. Galerkin’s method is used to reduce the partial differential equation of motion to a corresponding ordinary differential equation with randomly varying stiffness. We obtain explicit stability conditions based on the asymptotic expansion series for the moment Lyapunov exponent g(p), and the Lyapunov exponent λ for a two-dimensional linear stochastic system.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/1077546310371601

Reference14 articles.

1. Instabilities In Moving Bands Under Random Tension Fluctuation

2. Moment Lyapunov Exponent and Stability Index for Linear Conservative System with Small Random Perturbation

3. The Stability of a Moving Elastic Strip Subjected to Random Parametric Excitation

4. Stochastic stability of torsion oscillations in moving thin elastic bands

5. Moment Lyapunov exponents and stochastic stability for two coupled oscillators

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