Thermoelastic damping in flexural vibration of bilayered microbeams with circular cross-section

Abstract

Predicting of thermoelastic damping (TED) is crucial in the design of micro-resonators with composite structures. Several analytical models were developed to evaluate TED in bilayered and three-layered microbeams in the past. However, the previous models focus on the microbeams with rectangular cross-section. This paper aims to study the TED in a bilayered microbeam with circular cross-section. The temperature field is approximated by using sine series and Bessel series in the circular cross-section. An analytical full model for TED in flexural vibration of bilayered microbeam is presented in the form of an infinite series. A simple model is also developed by retaining only the first term. The simulation results of the present model have a good agreement with those of the finite element method (FEM). The results indicate that well-resolved two peaks of TED are typically observed in the bilayered microbeams in which the value of k2/C2 is much less or higher than that of k1/C1. The present model is not a rapidly converging infinite series for most of the bilayered microbeams. The present model is more suitable for the long slender beams.