The Nonlocal Dual Phase Lag Model of a Thermoelastic Nanobeam Subjected to a Sinusoidal Pulse Heating

This paper investigates the vibration phenomenon of a nanobeam subjected to a sinusoidal pulse varying heat. A unified generalized nonlocal thermoelasticity model with dual phase lag (DPL) is deduced to solve this problem. The nonlocal theories of coupled thermoelasticity, generalized thermoelasticity with one relaxation time, and without energy dissipation can be extracted as limited and special cases of the present model. An analytical technique based on Laplace transform is used to calculate the vibration of deflection and the temperature. The inverse of Laplace transforms is computed numerically using Fourier expansion techniques. The effects of the nonlocal parameter, the phase lags, and the pulse width of the sinusoidal pulse are studied on the lateral vibration, the temperature, and the displacement of the nanobeam. Comparisons among the effects of the phase lags and the pulse width are discussed.