Author(s)

Hamdy M. Youssef, Khaled A. Elsibai

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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.

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

H. Youssef and K. Elsibai, "Vibration of Nano Beam Induced by Ramp Type Heating," World Journal of Nano Science and Engineering, Vol. 1 No. 2, 2011, pp. 37-44. doi: 10.4236/wjnse.2011.12006.