Effect of temperature-dependent physical properties on nanobeam structures induced by ramp-type heating

Abstract

The classical Euler-Bernoulli beam theory based upon the nonlocal theory of thermoelasticity is constructed and employed to investigate the vibrating nanobeam due to a ramp-type heating. The thermal conductivity and modulus of elasticity are taken as temperature-dependent functions. The generalized theory of thermoelasticity with Dual-Phase-Lags (DPLs) model is also employed to solve the problem. Analytical and numerical techniques based on Laplace transforms and their inversions are used to calculate the vibrational deflection and temperature of the nanobeam. The effects of the PLs and ramping-time parameters on the lateral vibration, the temperature, the displacement and the flexure moment of the nanobeam are investigated. Some plots have been presented for comparison purposes to estimate the effects of the nonlocal parameter on the field quantities. For the sake of completeness a comparison is also made between the present results and those obtained in the case of temperature-independent thermal and mechanical properties.