Nonlinear Oscillations of CNT Nano-resonator Based on Nonlocal Elasticity: The Energy Balance Method

  • Ali Koochi Department of Mechanical Engineering, University of Torbat Heydarieh, Torbat Heydarieh, Iran.
  • Masoud Goharimanesh Department of Mechanical Engineering, University of Torbat Heydarieh, Torbat Heydarieh, Iran
Keywords: Carbo nanotube, Casimir force, Energy balance method, Nano-resonator, Nonlocal elasticity


This paper deals with investigating the nonlinear oscillation of carbon nanotube manufactured nano-resonator. The governing equation of the nano-resonator is extracted in the context of the nonlocal elasticity. The impact of the Casimir force is also incorporated in the developed model. A closed-form solution based on the energy balance method is presented for investigating the oscillations of the nano-resonator. The proposed closed-form solution is compared with the numerical solution.  The impact of influential parameters including applied voltage, Casimir force, geometrical and nonlocal parameters on the nano resonator’s vibration and frequency are investigated. The obtained results demonstrated that the Casimir force reduces the nano-resonator frequency. However, the nonlocal parameter has a hardening effect and enhances the system’s frequency.


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How to Cite
Koochi, A., & Goharimanesh , M. (2021). Nonlinear Oscillations of CNT Nano-resonator Based on Nonlocal Elasticity: The Energy Balance Method. Reports in Mechanical Engineering, 2(1), 41-50. Retrieved from