Affiliation:
1. Department of Civil and Environmental Engineering, University of Waterloo, ON, N2L 3G1, Canada
Abstract
The moment Lyapunov exponents of a single degree-of-freedom viscoelastic system under the excitation of a wideband noise are studied in this paper. A realistic example of such a system is the transverse vibration of a viscoelastic column under the excitation of stochastic axial compressive load. The method of averaging, both first order and second order, is applied. The averaged Itô differential equation governing the pth norm is established and the pth moment Lyapunov exponent is then obtained. White noise and real noise are considered as models of wideband noises. The variations of the moment Lyapunov exponents with the change of different parameters are discussed.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference14 articles.
1. Mechanical Models for the Representation of Visco-Elastic Properties;Roscoe;Br. J. Appl. Phys.
2. Stochastic Stability of Linear Viscoelastic Systems;Ariaratnam;Probab. Eng. Mech.
3. Investigation of the Vibrations of Relaxing Systems by the Averaging Method;Larionov;Mech. Compos. Mater.
4. On Almost Sure Stability of a Viscoelastic Column Under Random Loading;Potapov;J. Sound Vib.
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