Vibration analysis of functionally graded microbeam under initial stress via a generalized thermoelastic model with dual-phase lags

The aim of this article is to investigate the thermal and mechanical vibration properties of functionally graded microbeams. The governing system of equations is formulated on the basis of classical Euler–Bernoulli beam model incorporating the generalized dual-phase lag model of thermoelasticity rather than the conventional steady-state Fourier heat conduction. In our analysis, it is also assumed that the mechanical and thermal properties such as modulus of elasticity, density and coefficient of thermal conductivity change through the thickness by an exponential law distribution, with the exception of Poisson’s ratio. The effects of system parameters on different field quantities have been depicted for initial stress, material gradient index and pulses duration. The numerical results are compared with benchmark findings, for the sake of verification. Presented results demonstrate the considerable effects of temperature and the material gradients on the dynamic behavior of microscopic structures. Finally, a comparison is conducted with the results discussed in the literature to justify the quality of the present technique.