Abstract
The almost-sure stochastic stability of linear viscoelastic systems, parametrically forced by a bounded noise excitation, is investigated. By the use of the averaging method for integro-differential equations, the top Lyapunov exponent is evaluated asymptotically when the intensity of the excitation process is small. The stability region, which corresponds to negative values of the top Lyapunov exponent, is sketched in the parameter plane in the form of a ” Strutt diagram”. It is found that noise can have a stabilizing effect under certain conditions.
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© 1996 Kluwer Academic Publishers
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Ariaratnam, S.T. (1996). Stochastic Stability of Viscoelastic Systems Under Bounded Noise Excitation. In: Naess, A., Krenk, S. (eds) IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics. Solid Mechanics and its Applications, vol 47. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0321-0_2
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DOI: https://doi.org/10.1007/978-94-009-0321-0_2
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