Modeling and analysis of thermoelastic damping and frequency shift in thin microbeam resonators

This study investigates thermoelastic damping (TED) and frequency shift (FS) in thin microbeam resonators within the framework of the Moore-Gibson-Thompson (MGT) thermoelasticity theory. An explicit formula for thermoelastic damping is derived, and the effects of beam thickness, beam length, isothermal frequency, and thermal relaxation time are analyzed. Numerical results demonstrate that the thermal relaxation parameter plays a significant role in controlling thermoelastic damping and frequency shift at the microscale under different structural and frequency conditions. The findings indicate that the proposed design is suitable for a wide range of damping dissipation applications.