Journal of Mathematical Sciences

, Volume 215, Issue 1, pp 71–78 | Cite as

Investigation of Bending Vibrations in Voigt–Kelvin Bars with Regard for Nonlinear Resistance Forces

  • P. Ya. Pukach

We present a procedure aimed at the qualitative investigation of the solution of a mathematical model of bending vibrations of viscoelastic bodies under the action of dissipative forces and nonlinear resistance forces in a bounded domain. This procedure is based of the general approaches of the theory of nonlinear boundary-value problems and the application of the Galerkin method and enables one to substantiate the correctness of the solution of the model and use approximate methods for its investigation.


Galerkin Method Transverse Vibration Vibration System Qualitative Investigation Dissipative Force 
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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • P. Ya. Pukach
    • 1
  1. 1.Institute of Applied Mathematics and Fundamental Sciences“L’vivs’ka Politekhnika” National UniversityLvivUkraine

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