Temperature-dependent phase leg and non-local thermoelastic damping and frequency shift in thermoelastic plates

Thermoelastic damping and frequency shift are critical factors influencing the performance and stability of micro- and nano-scale resonators, such as those employed in MEMS and NEMS devices. Traditional thermoelastic models often overlook important scale-dependent behaviors, thermal relaxation effects, and material property variations with temperature, leading to inaccuracies at small scales. To address these limitations, the present study investigates thermoelastic damping and frequency shift in a Kirchhoff plate resonator by incorporating non-local elasticity theory, the dual-phase lag heat conduction model, and temperature-dependent material properties. In order to investigate thermoelastic damping and frequency shift of Kirchhoff plate resonator, the current work takes into account the influence of non-local, dual phase leg, and temperature dependent properties on thermoelastic theory. The governing equations, comprise equations of motion and heat conduction equation which include a temperature-dependent property, a dual-phase leg model along with non-local parameters are formulated with the assistance of Kirchhoff-Love plate theory. Under the simply supported boundary conditions, thermoelastic damping and frequency shift are analysed. The derived amounts are graphically displayed with different thickness and length values. The current work additionally deduces a specific example of interest. Results are graphically presented to illustrate key trends, and a specific numerical example is discussed to demonstrate the applicability of the model. This study enhances the accuracy of thermoelastic analysis in micro-scale resonator design by integrating advanced theoretical considerations often neglected in conventional models.