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Vol. 2 No. 3 (2010)

State-space approach to vibration of gold nano-beam induced by ramp type heating

https://doi.org/10.1007/BF03353632
Hamdy M. Youssef
Mathematical Department-Faculty of Education-Alexandria University-Egypt
Khaled A. Elsibai
Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Corresponding Author: Hamdy M. Youssef

yousefanne@yahoo.com

Nano-Micro Letters, Vol. 2 No. 3 (2010), Article Number: 139-147

Abstract

In the nanoscale beam, two effects become domineering. One is the non-Fourier effect in heat conduction and the other is the coupling effect between temperature and strain rate. In the present study, a generalized solution for the generalized thermoelastic vibration of gold nano-beam resonator induced by ramp type heating is developed. The solution takes into account the above two effects. State-space and Laplace transform methods are used to determine the lateral vibration, the temperature, the displacement, the stress and the strain energy of the beam. The effects of the relaxation time and the ramping time parameters have been studied.

Keywords

Thermoelasticity Euler-Bernoulli equation Gold nano-beam Ramp type heating
Youssef, Hamdy M., and Khaled A. Elsibai. 2010. “State-Space Approach to Vibration of Gold Nano-Beam Induced by Ramp Type Heating”. Nano-Micro Letters 2 (3):139-47. https://doi.org/10.1007/BF03353632.
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