Investigation of the Vibration of Micro-Beam Resonators Induced by a Harmonically Varying Heat

This paper is devoted to investigate the vibration phenomenon subjected to harmonically varying heat of a micro-beam. We used the generalized thermoelasticity with dual phase lags (DPL) model to solve this problem. An analytical technique based on the Laplace transform is used to calculate the vibration of deflection and the temperature. The inverse of Laplace transforms are computed numerically using Fourier expansion techniques are used to solve the problem in physical domain. We have studied the effects of the phase lags and the angular frequency of thermal vibration on the lateral vibration, the temperature, the displacement, the stress and the strain of the beam. Comparisons among the effects of the phase lags and the angular frequency are discussed.