Thermoviscoelastic Vibrations of a Micro-Scale Beam Subjected to Sinusoidal Pulse Heating

Abstract

In this article, we studied the vibrational effects of a viscoelastic micro-scale beam induced by sinusoidal pulse heating based on Euler-Bernoulli beam theory. The formulation of the present problem is applied to the generalized thermoelasticity with phase lags. The deflection, temperature, axial displacement, and bending moment of the micro-scale beam are determined by using the Laplace transform method. The system of governing equations is reduced to a novel six-order thermoelastic differential equation in either deflection or temperature. The numerical results in case of silicon material are presented with the help of Mathematica programming software. Some plots are illustrated to investigate the effects of the phase-lags and the width of the sinusoidal pulse parameters. The effect of the viscosity on the micro-scale beam resonator is also investigated.