We establish a mathematical model of thermally conducting an isotropic, homogeneous, and circular microplate in the context of Kirchhoff’s Love plate theory. We define the governing equations in the context of the generalized dual-phase-lagging model and coupled viscothermoelastic plate. We illustrate the scaled viscothermoelasticity for the case of a circular plate for an aspect ratio for clamped boundary conditions. The bounding plane of the plate has been thermally shocked by ramp heating. We apply the Laplace transform and numerically calculate its inversions. The results are obtained for a ceramic plate. The effects of the damage variables and the thickness of the resonator on the temperature increment distribution are found to be minimal, whereas the effect of the ramp heat parameter on the temperature increment is significant. The damage variables and the thickness of the resonator have significant effects. We determine that the ramp heat parameter can be used as a controller to tune the energy damping.

在基尔霍夫的洛夫板理论的背景下，我们建立了一个导热各向同性，均质和圆形微孔板的数学模型。我们在广义双相滞后模型和耦合粘热弹性板的背景下定义控制方程。我们为固定边界条件的纵横比说明了圆形板情况下的缩放粘弹性。板的边界平面已被斜坡加热热冲击。我们应用拉普拉斯变换并通过数值计算其反演。对于陶瓷板获得了结果。发现损伤变量和谐振器的厚度对温度增量分布的影响是最小的，而斜坡热参数对温度增量的影响是显着的。损伤变量和谐振器的厚度有很大的影响。我们确定可以将升温参数用作控制器来调节能量阻尼。