Abstract
The stability and reliability of a nonlinear viscoelastic rod under a stochastic excitation is investigated. The loads are assumed to be in the form of random stationary processes. The solution is obtained with the help of a numerical method, which is based on the method of the statistical simulation of random input processes and on the numerical solution of the system of nonlinear and linearized integro-differential equations. These equations describe a nonperturbed and perturbed motion of the rod. The estimation of the stability is carried out with the help of top Lyapunov exponents.
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Potapov, V. On the Stability of a Nonlinear Viscoelastic Rod Subjected to a Longitudinal Force in the Form of a Random Stationary Process. Mechanics of Time-Dependent Materials 2, 335–349 (1998). https://doi.org/10.1023/A:1009892927971
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DOI: https://doi.org/10.1023/A:1009892927971