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On the Stability of a Nonlinear Viscoelastic Rod Subjected to a Longitudinal Force in the Form of a Random Stationary Process

On the Stability of a Nonlinear Viscoelastic Rod Subjected to a Longitudinal Force in the Form of... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mechanics of Time-Dependent Materials Springer Journals

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 , Volume 2 (4) – Dec 1, 1998

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References (11)

Publisher
Springer Journals
Copyright
Copyright © 1998 by Kluwer Academic Publishers
Subject
Physics; Polymer Sciences; Industrial Chemistry/Chemical Engineering; Characterization and Evaluation Materials; Mechanics
ISSN
1385-2000
eISSN
1573-2738
DOI
10.1023/A:1009892927971
Publisher site
See Article on Publisher Site

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.

Journal

Mechanics of Time-Dependent MaterialsSpringer Journals

Published: Dec 1, 1998

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