Vibration of Gold Nanobeam Induced by Different Types of Thermal Loading—A State-Space Approach

Abstract

There are two significant effects in the nanoscale beam. 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 a gold nanobeam resonator induced by ramp-type heat and harmonically varying heat is developed. The solution takes into account the above two effects. State-space and Laplace transform methods are used to determine the lateral vibration, temperature, displacement, stress, and strain energy of the gold nanobeam. The effects of relaxation time, ramping time, and angular frequency parameters were studied and are represented graphically with some comparisons.

Keywords:

• thermoelasticity
• Euler-Bernoulli equation
• gold nanobeam
• ramp-type heat
• harmonic heat

Additional information

Notes on contributors

Hamdy M. Youssef

Current address for Hamdy M. Youssef: Faculty of Engineering, Umm Al-Qura University, P.O. 5555, Makkah, Saudi Arabia.

Khaled A. Elsibai

Current address for Khaled A. Elsibai: Faculty of Science, Mathematical Department, Umm Al-Qura University, Makkah, Saudi Arabia.