A new nonlinear model for analyzing the behaviour of carbon nanotube-based resonators. (15th September 2016)

• Record Type: Journal Article
• Authors: Farokhi, Hamed; Païdoussis, Michael P.; Misra, Arun K.
• Is Part Of: Journal of sound and vibration. Volume 378(2016)
• Page Start: 56
• Page End: 75
• Publication Date: 2016-09-15
• Subjects: Carbon nanotube -- Nano resonator -- Nonlinear behaviour -- Molecular dynamics simulation -- Modified couple stress theory -- Universal pull-in formula; Sound -- Periodicals; Vibration -- Periodicals; Son -- Périodiques; Vibration -- Périodiques; Sound; Vibration; Periodicals; Electronic journals; 620.205
• DOI: 10.1016/j.jsv.2016.05.008
• Languages: English
• ISSNs: 0022-460X

Abstract

Abstract: 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.