On the Stability of Viscoelastic Beams Under a Stochastic Excitation

  • V. D. Potapov
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


The experience acquired when observing real viscoelastic structures under operating conditions indicates that there is a great random scattering of values of control parameters that define strength, rigidity and stability of structures. This is explained primarily by the stochastic nature of external loads and viscoelastic material properties being described by random functions. Hence solving the stochastic viscoelastic problems using the technique of the theory of random functions seems to be important not only from the theoretical point of view but also from the practical one. The present work intends to investigate stability of viscoelastic beams under random effects.


Statistical Moment Random Function Nonlinear Integral Equation Longitudinal Force Stationary Random Process 
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    Potapov, V. D.: On the stability of beams under stochastic excitation, Appl. Math, and Mech., vol. 53, 6, (1989), 1006–1013 (in Russian).MathSciNetGoogle Scholar
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    Potapov, V. D.: Stability of viscoelastic elements of structures, Moscow, Stroyizdat, 1985 (in Russian).Google Scholar
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    Kantorowich, L., Krylov, V.I.; Approximate methods of higher analysis, Moscow-Leningrad, GITTL, 1952 (in Russian).Google Scholar
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    Shalygin, A.S., Palagin, Y.I.: Applied methods of statistical simulation, Leningrad, Masninostroenie, Leningrad department, 1986 (in Russian).Google Scholar

Copyright information

© Springer-Verlag, Berlin Heidelberg 1991

Authors and Affiliations

  • V. D. Potapov
    • 1
  1. 1.Moscow Railway Engineering InstituteUSSR

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