The vibration of a viscothermoelastic nanobeam of silicon nitride based on dual-phase-lage heat conduction model and subjected to ramp-type heating

In this paper, the analysis of viscothermoelastic homogeneous isotropic nanobeams has been performed. A general model of the dual-phase heat conduction viscothermoelasticity principle was used. For governing equations, the transformation of Laplace was introduced, and its transformation inverts are determined using the Tzou procedure. Specifically, when subjected to ramp-type thermal loading, the numerical findings were tested for a viscothermoelastic rectangular nanobeam of silicon nitride. Figures of this article show numerical results to reflect the effects of mechanical relaxation time, ramp-time heat, and the scale length of the beam. All the observed functions, excluding the temperature change, have a major effect on the mechanical relaxation time parameter. The beam’s width and ramp-time heat parameter have significant consequences on all the functions studied.