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V. Potapov, P. Koirala (1997)
Stability of elastic and viscoelastic systems under action of random stationary narrow-band loadsInternational Journal of Mechanical Sciences, 39
G. Benettin, L. Galgani, A. Giorgilli, J. Strelcyn (1980)
Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: TheoryMeccanica, 15
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Reliability in engineering design
G. Benettin, L. Galgani, A. Giorgilli, J. Strelcyn (1980)
Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical applicationMeccanica, 15
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Numerical method for investigation of stability of stochastic integro-differential equationsApplied Numerical Mathematics, 24
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V. Potapov, A. Marasanov (1997)
The investigation of the stability of elastic and viscoelastic rods under a stochastic excitationInternational Journal of Solids and Structures, 34
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Creep problems in structural members
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.
Mechanics of Time-Dependent Materials – Springer Journals
Published: Dec 1, 1998
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