Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Nonlinear Dynamic Response of Cantilevered Carbon Nanotube Resonator by Electrostatic Excitation

정전기력 가진에 의한 외팔보형 탄소나노튜브 공진기의 비선형 동적 응답

  • 김일광 (서울시립대학교 대학원 에너지환경시스템공학과) ;
  • 이수일 (서울시립대학교 기계정보공학과)
  • Received : 2011.05.26
  • Accepted : 2011.07.18
  • Published : 2011.09.20
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Abstract

This paper predicted nonlinear dynamic responses of a cantilevered carbon nanotube(CNT) resonator incorporating the electrostatic forces and van der Waals interactions between the CNT cantilever and ground plane. The structural model of CNT includes geometric and inertial nonlinearities to investigate various phenomena of nonlinear responses of the CNT due to the electrostatic excitation. In order to solve this problem, we used Galerkin's approximation and the numerical integration techniques. As a result, the CNT nano-resonator shows the softening effect through saddle-node bifurcation near primary resonance frequency with increasing the applied AC and DC voltages. Also we can predict nonlinear secondary resonances such as superharmonic and subharmonic resonances. The superharmonic resonance of the nano-resonator is influenced by applied AC voltage. The period-doubling bifurcation leads to the subharmonic resonance which occurs when the nano-resonator is actuated by electrostatic forces as parametric excitation.

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References

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