Generalized thermoelastic vibration of a microbeam with an axial force

This paper presents an analytical solution for the transverse vibration of a microbeam. The generalized thermoelasticity theory with dual-phase-lags model is used to solve this problem. Laplace transforms technique is used to obtain the general solution for any set of boundary conditions. The general solution obtained is applied to a specific problem of a microbeam subjected to ramp-type heating with an initial axial force. The inverse of Laplace transforms are computed numerically using Fourier expansion techniques. The effects of the phase-lags and the ramping-time parameters are studied and discussed on the lateral vibration, the temperature, the axial displacement and the bending moment of the microbeam. Effects of the dimensionless tensile/compressive axial force on all the studied fields are also investigated.