BASIC EQUATIONS FOR THERMOVISCOELASTIC PLATES WITH DISTRIBUTED ACTUATORS UNDER MONOHARMONIC LOADING

摘要

The basic equations for thin-walled thermoviscoelastic plates with distributed piezoelectric actuators under monoharmonic mechanical and electric loads are derived. The thermomechanical behavior of materials is described using the concept of complex characteristics. Variational methods of solving nonlinear problems of active damping of the bending vibrations of plates are considered. The effect of dissipative heating on the damping of the axisymmetric bending vibrations of a circular plate is examined as an example.