Deflection and damping analysis of porous thermoelastic circular plate with microtemperature

Abstract This work investigates the deflection and thermoelastic damping behavior of a micro‐scale porous thermoelastic thin circular plate incorporating microtemperature effects. Using Kirchhoff's plate theory, analytical expressions are derived for the transverse vibrations of a homogeneous and isotropic thin circular plate under clamped and simply supported boundary conditions. Closed‐form solutions are obtained for the temperature distribution, deflection, porous field, and thermoelastic damping. Numerical simulations are carried out for magnesium as a representative material using MATLAB. The influence of boundary conditions and plate thickness on thermoelastic damping is examined through graphical interpretation. A special case of practical interest is also deduced.