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State-Space Approach to Vibration of Gold Nano-Beam Induced by Ramp Type Heating without Energy Dissipation in Femtoseconds Scale

Author: Elsibai* Khaled  

Publisher: Taylor & Francis Ltd

ISSN: 0149-5739

Source: Journal of Thermal Stresses, Vol.34, Iss.3, 2011-03, pp. : 244-263

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Abstract

In the nanoscale beam, the effect of the coupling between temperature and strain rate becomes domineering. In the present study, a generalized solution for the vibration of gold nano-beam resonator induced by ramp type heating is developed in the context of the Green and Naghdi model of generalized thermoelasticity. The solution takes into account the above effect. State-space and Laplace transform methods are used to determine the lateral vibration, temperature, displacement, stress and strain energy of the beam. A numerical example of gold nano-beam in femtoseconds scale has been calculated to illustrate the effect of the ramping time parameter on all the studied fields.