Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
279981 | International Journal of Solids and Structures | 2008 | 11 Pages |
Abstract
The Lyapunov exponent and moment Lyapunov exponents of Hill’s equation with frequency and damping coefficient fluctuated by white noise stochastic process are investigated. A perturbation approach is used to obtain explicit expressions for these exponents in the presence of small intensity noises. The results are applied to the study of the almost-sure and the moment stability of the stationary solutions of the thin simply supported beam subjected to axial compressions and time-varying damping which are small intensity stochastic excitations.
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Authors
Predrag Kozić, Ratko Pavlović, Goran Janevski,