Abstract
This paper presents a theoretical nonlocal model for a thermo-sensitive nanobeam based on the generalized thermoelasticity theory with thermal relaxation time. The present nanobeam is subjected to a sinusoidal pulse varying heat and its thermal conductivity is considered to be variable. This article deals with a nonlinear coupling partial differential equation since the thermal conductivity depends on temperature. The nonlocal theories of coupled thermoelasticity can be extracted as limited and special case of the present model. The effect of the variability thermal conductivity parameter, the nonlocal parameter, the relaxation time and the pulse width of the sinusoidal pulse on the distribution of lateral vibration, the temperature and the displacement of the nanobeam is investigated.