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

@article{citeulike:165109, 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. }, author = {Potapov, V. D.}, citeulike-article-id = {165109}, citeulike-linkout-0 = {http://www.ingentaconnect.com/content/klu/mtdm/1998/00000002/00000004/00203894}, issn = {1385-2000}, journal = {Mechanics of Time-Dependent Materials}, keywords = {estimation, mechanics, parameter, random, rod, sde, stability, stochastic}, number = {4}, pages = {335--349}, posted-at = {2005-04-19 19:16:44}, priority = {3}, title = {On the Stability of a Nonlinear Viscoelastic Rod Subjected to a Longitudinal Force in the Form of a Random Stationary Process}, url = {http://www.ingentaconnect.com/content/klu/mtdm/1998/00000002/00000004/00203894}, volume = {2}, year = {1998} }

TY - JOUR ID - citeulike:165109 L3 - citeulike-article-id:165109 N2 - 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. IS - 4 JF - Mechanics of Time-Dependent Materials SN - 1385-2000 EP - 349 TI - On the Stability of a Nonlinear Viscoelastic Rod Subjected to a Longitudinal Force in the Form of a Random Stationary Process VL - 2 SP - 335 KW - estimation KW - mechanics KW - parameter KW - random KW - rod KW - sde KW - stability KW - stochastic AU - Potapov, VD PY - 1998/// UR - http://www.ingentaconnect.com/content/klu/mtdm/1998/00000002/00000004/00203894 ER -