Thermodynamic Behaviors of a Viscoelastic Plate for Vibration Control with Nonlocal Effect and Temperature-Dependent Properties when Subjected to a Moving Heat Source

Viscoelastic materials are used widely for seismic mitigation and vibration suppression in civil engineering, and have obvious advantages in energy dissipation. Viscoelastic materials and devices are often used in a thermoelastic coupling state. This paper investigated the thermodynamic behaviors of a viscoelastic plate for vibration control based on the generalized thermoviscoelastic theory. The plate was fixed on both surfaces and subjected to a moving heat source on the left. The governing equations of the plate were formulated considering the fractional order derivative heat conduction, material nonlocal effect, and temperature-dependent properties. The problem was solved numerically using the Laplace transform and its inverse transformation. The distribution of the nondimensional temperature, stress, and displacement along the thickness direction of the plate were determined and graphed. The impacts of the heat source moving speed, the fractional parameter, nonlocal effect parameter, and temperature-dependent parameter were discussed and analyzed. The thermodynamic behaviors of the plate are affected greatly by the considered parameters.