Analysis and numerical results are presented for the thermoelastic dissipation of a homogeneous isotropic, thermally conducting, Kelvin–Voigt type circular micro-plate based on Kirchhoff’s Love plate theory utilizing generalized viscothermoelasticity theory of dual-phase-lagging model. The analytical expressions for thermoelastic damping of vibration and frequency shift are obtained for generalized dual-phase-lagging model and coupled viscothermoelastic plates. The scaled thermoelastic damping has been illustrated in case of circular plate and axisymmetric circular plate for fixed aspect ratio for clamped and simply supported boundary conditions. It is observed that the damping of vibrations significantly depend on time delay and mechanical relaxation times in addition to thermo-mechanical coupling in circular plate under resonance conditions and plate dimensions.

提出了基于基尔霍夫洛夫板理论的均质各向同性导热Kelvin-Voigt型圆形微板的热弹性耗散的分析和数值结果，并利用广义粘热弹性双相滞后模型进行了研究。对于广义双相滞后模型和耦合的粘热弹性板，获得了振动和频移的热弹性阻尼的解析表达式。在圆形板和轴对称圆形板的情况下，对于固定和简单支撑的边界条件，对于固定的长宽比，已说明了比例热弹性阻尼。