Analyzing Frequency response of nano electro mechanical-resonator based on non-local elasticity theory

Document Type : Research Paper

Authors

university

Abstract

 

In recent years, many experimental observations showed that by decreasing the micro- and nano-beams thicknesses size effect appears and classical continuum theory cannot be used for micro- and nano-beams modeling. To model the nano-beams with more accuracy, non-classical continuum theories should be utilized. In this paper, non-local elasticity theory is used to analyze the frequency response of a nano-resonator. To this aim, first of all, nonlinear partial differential equation of nano-resonator is developed based on non-local theory and converted to ordinary differential equation using Galerkin projection method. The multiple time scales method is used to find the nano-resonator frequency response and the results are compared with the numerical simulation results and effect the variation of actuation amplitude, damping ratio and axial force on frequency response are investigated. Reducing actuation amplitude, increasing damping ratio and axial tension force, will reduce amplitude of frequency response. Based on the classical and non-classical continuum theories, frequency responses for different nano-beam dimensions are plotted and compared with together. It is shown that by decreasing the nano-beam thickness, size effect appear which results in lower vibration amplitude in comparison with classical continuum theory.

 

 

 

Keywords

References

 
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Journal of Modeling in Engineering
Volume 15, Issue 50
June 2017
Pages 315-322

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History

  • Receive Date: 28 May 2015
  • Revise Date: 25 February 2017
  • Accept Date: 06 April 2016

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