Nonlinear analysis of thermoelastic damping in axisymmetric vibration of micro circular thin-plate resonators

Thermoelastic damping is a source of dissipation in micro scale circular plate resonators. In contrast to previous researches, in this study thermoelastic damping is derived considering nonlinear effects. The microplate is assumed as a clamped circular plate. The microplate is modeled using the von Karman hypothesis along with Hamilton principle. Finally for harmonic vibrations, by using Kantorovich time averaging technique and perturbation techniques, thermoelastic damping is derived. The behavior of thermoelastic damping versus material properties, environmental temperature, plate radius and plate thickness are plotted. In this study the difference between linear and nonlinear analysis is shown for calculation of thermoelastic damping. The results show that the nonlinear analysis has a significant influence on thermoelastic damping coefficient.