The vibration analysis of a nanobeam due to a ramp-type heating under Moore-Gibson-Thompson theory of thermoelasticity

Abstract

Micro/nanobeams find extensive appreciation due to their employment as resonators. The current study investigates a thermoelastic homogeneous isotropic nanobeam exposed to ramp-type heating as a thermal loading. The governing equations of the nanobeam have been deduced in the context of the Moore-Gibson-Thompson thermoelasticity theory. The Laplace transform technique has been applied, while its inversions have been calculated by using Tzou numerical technique with approximation. When a rectangular thermoelastic nanobeam composed of silicon nitride is easily supported, the numerical findings have been confirmed and presented in the figures. It is worth noting that the ramp-time heat parameter has a substantial impact on all of the functions investigated. The parameter that distinguishes the Moore-Gibson-Thompson model from the standard thermoelastic model has a minor influence on temperature increment but has a considerable effect on lateral deflection, strain, and stress distributions.