International Applied Mechanics

, Volume 54, Issue 1, pp 85–93 | Cite as

Forced Vibrations and Dissipative Heating of Hinged Flexible Viscoelastic Rectangular Plates with Actuators Under Shear Deformation

  • V. G. Karnaukhov
  • V. N. Kozlov
  • T. V. Karnaukhova
Article
  • 1 Downloads

The forced resonant vibrations and vibrational heating of viscoelastic plates with actuators are modeled considering geometrical nonlinearity and transverse shear. An approximate analytical solution of the problem is obtained for a hinged rectangular plate by the Bubnov–Galerkin method. The effect of geometrical nonlinearity and shear deformations on the efficiency of active damping of vibrations with piezoelectric actuators is analyzed.

Keywords

resonant vibrations geometrical nonlinearity transverse shear piezoelectric actuators active damping 

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • V. G. Karnaukhov
    • 1
  • V. N. Kozlov
    • 1
  • T. V. Karnaukhova
    • 2
  1. 1.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKyivUkraine
  2. 2.National Technical University “KPI”KievUkraine

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