FORCED VIBRATIONS AND DISSIPATIVE HEATING OF HINGED FLEXIBLE VISCOELASTIC RECTANGULAR PLATES WITH ACTUATORS UNDER SHEAR DEFORMATION

摘要

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.