Axisymmetric Resonant Vibrations and Vibration Heating of a Thermoviscoelastic Cylindrical Shell with Piezoelectric Sensors and Actuators

Abstract

We consider a problem of axisymmetric forced resonant vibrations and dissipative heating of a viscoelastic cylindrical shell with piezoelectric sensors and actuators under monoharmonic loading. The viscoelastic behavior of the passive and piezoactive materials is described in terms of complex moduli depending on the temperature of vibration heating. On the basis of numerical calculations, we study the influence of the temperature dependence of the properties of materials on the dynamic characteristics, temperature of vibration heating, electric indications of a sensor, and active modal damping of the shell by the piezoactuator (with regard for the indications of the sensor).