A new nonlinear model for analyzing the behaviour of carbon nanotube-based resonators

Farokhi, Hamed, Païdoussis, Michael P. and Misra, Arun K. (2016) A new nonlinear model for analyzing the behaviour of carbon nanotube-based resonators. Journal of Sound and Vibration, 378. pp. 56-75. ISSN 0022-460X

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Official URL: http://dx.doi.org/10.1016/j.jsv.2016.05.008


The present study develops a new size-dependent nonlinear model for the analysis of the behaviour of carbon nanotube-based resonators. In particular, based on modified couple stress theory, the fully nonlinear equations of motion of the carbon nanotube-based resonator are derived using Hamilton s principle, taking into account both the longitudinal and transverse displacements. Molecular dynamics simulation is then performed in order to verify the validity of the developed size-dependent continuum model at the nano scale. The nonlinear partial differential equations of motion of the system are discretized by means of the Galerkin technique, resulting in a high-dimensional reduced-order model of the system. The pseudo-arclength continuation technique is employed to examine the nonlinear resonant behaviour of the carbon nanotube-based resonator. A new universal pull-in formula is also developed for predicting the occurrence of the static pull-in and validated using numerical simulations.

Item Type: Article
Uncontrolled Keywords: Carbon nanotube; Nano resonator; Nonlinear behaviour; Molecular dynamics simulation; Modified couple stress theory; Universal pull-in formula
Subjects: H300 Mechanical Engineering
J500 Materials Technology not otherwise specified
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Paul Burns
Date Deposited: 23 Aug 2018 15:40
Last Modified: 11 Oct 2019 19:30
URI: http://nrl.northumbria.ac.uk/id/eprint/35460

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