Nonlinear dynamics of electrically-actuated carbon nanotube resonator

Hassen M. Ouakad, Mohammad I. Younis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)


This paper presents an investigation into the nonlinear dynamics of a carbon nanotube (CNT) actuated electrically by a DC force and an AC harmonic load. The CNT is described by an Euler Bernoulli beam model that accounts for the system nonlinearities due to mid-plane stretching and electrostatic forcing. A reduced-order model based on the Galerkin method is developed and utilized to simulate the static and dynamic response of the CNT. The static deflection of the CNT and its pull-in voltage are calculated and validated by comparing them to published results. It was found that mid-plane stretching has a major impact on the pull-in prediction of CNT. Dynamic analysis is conducted to explore the nonlinear oscillation of the CNT near its fundamental natural frequency (primary resonance) and near one half, twice, and three times its natural frequency (secondary resonances). The nonlinear analysis is carried out using a shooting technique combined with the Floquet theory to capture periodic orbits and analyze their stability. The results show that these resonances can lead to complex nonlinear dynamics phenomena such as hysteresis, dynamic pull-in, hardening and softening behaviors, and frequencies bands with an inevitable escape from a potential well.

Original languageEnglish
Title of host publication2008 Proceedings of the ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
Number of pages8
Publication statusPublished - Sep 14 2009
Externally publishedYes
Event2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008 - Boston, MA, United States
Duration: Oct 31 2008Nov 6 2008

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings


Conference2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
CountryUnited States
CityBoston, MA

ASJC Scopus subject areas

  • Mechanical Engineering

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