Vibration of Nano Beam Induced by Ramp Type Heating

Hamdy M. Youssef, Khaled A. Elsibai

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DOI: 10.4236/wjnse.2011.12006                

Abstract

The non-Fourier effect in heat conduction and the coupling effect between temperature and strain rate, became the most significant effects in the nano-scale beam. In the present study, a generalized solution for the generalized thermoelastic vibration of a bounded nano-beam resonator induced by ramp type of heating is developed and the solutions take into account the above two effects. The Laplace transforms and direct method are used to determine the lateral vibration, the temperature, the displacement, the stress and the energy of the beam. The effects of the relaxation time and the ramping time parameters have been studied with some comparisons.

Keywords

Thermoelasticity, Nano-Beam, Ramp-Type Heating, Non-Fourier Heat Conduction

Conflicts of Interest

The authors declare no conflicts of interest.

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