Theoretical analysis of thermoelastic damping in bilayered circular plate resonators with two-dimensional heat conduction

To minimize thermoelastic damping (TED) loss of energy, it is of great significance to determine TED for resonators. In this paper, we established the governing equation of thermoelastic problems with two-dimensional heat conduction for the out-of-plane vibration of bilayerd circular plate and derived the analytical express of TED. The same problem is simulated by using finite element method (FEM). The analytical results obtained by the present 2-D model show a good agreement with the results obtained by FEM. It is found that the radius and the thickness of the plate play important roles on TED. The values of TED for higher-order vibration modes were also evaluated. Finally, the influence of imperfect thermal contact on the interface was studied and two peak values were found.