TRANSVERSE VIBRATIONS IN THERMOELASTIC-DIFFUSIVE THIN MICRO-BEAM RESONATORS

摘要

This article deals with the transverse vibrations in a homogeneous isotropic, thermoelastic-diffusive thin beam based on the Euler-Bernoulli theory under clamped-clamped boundary conditions. The analytical expressions for deflection, thermal moment, mass moment, frequency shift, and damping due to thermoelastic-diffusion in the beam has been derived. The effects of mass diffusion, thermomechanical coupling, surface conditions, and beam dimensions on energy dissipation and other field quantities induced by thermoelastic-diffusion have been investigated. The analytical results have been numerically analyzed with the help of MATLAB software. The numerically computed results for deflection, temperature change, thermal moment, mass moment, damping factor, and frequency shift have been presented graphically. The computed values of effective flexural rigidity have been given in tabular form. The study may find applications in medical science, engineering, accelerometers, sensors, resonators, etc.