Nonlocal thermoelastic nanobeam subjected to a sinusoidal pulse heating and temperature-dependent physical properties

This article studies the vibration phenomenon of a nanobeam subjected to a sinusoidal pulse varying heat using the nonlocal Bernoulli-Euler beam theory. A unified generalized thermoelasticity model with one thermal relaxation is used to solve this problem. Both the thermal conductivity and Young's modulus of elasticity are considered linear functions of temperature. An analytical solution in the Laplace domain is obtained for the vibration deflection and temperature. The effect due to the nonlocal parameter and the pulse-width of the sinusoidal pulse varying heat on the lateral vibration, the temperature, the axial displacement and the flexure moment of the nanobeam, is discussed. The results are also obtained in the case of temperature-independent mechanical and thermal properties.