Stochastic Stability of Viscoelastic Systems Under Bounded Noise Excitation
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.
KeywordsLyapunov Exponent Relaxation Function Parameter Plane Stochastic Stability Viscoelastic System
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