대한공업교육학회지

Korean Institute of Industrial Educations (대한공업교육학회)
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Linearized of Electrostatic Force in the Carbon Nanotube for Dynamic Behavior Analysis

CNT의 동적 거동 해석을 위한 정전기력의 선형화

  • 이종길 (안동대학교 사범대학 기계교육과)
  • Received : 2005.10.30
  • Accepted : 2005.12.26
  • Published : 2005.09.30
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Abstract

For an analysis of dynamic behavior in carbon nanotube(CNT) which is widely used as micro and nano-sensors, an electrostatic force of CNT was investigated. For larger gaps in between sensor and electrode the van der Waals force can be ignored. The boundary condition in the CNT was assumed to clamped-clamped case at both ends. In this paper electrostatic force is expressed as linear equation along deflection using Taylor series. The first and second terms(${\zeta}_0$ and ${\zeta}_1$) of the linear equation are analyzed. Based on the simulation results nondimensional number ${\Phi}_0$ and ${\Phi}_1$ which came from ${\zeta}_0$ and ${\zeta}_1$ were decreased according to the increment of the gap. Reduction ratio of the second term ${\zeta}_1$ is increased up to 99% along to the increment of the gap. The higher order terms can be ignored and therefore, electrostatic force can be expressed using the first two terms of the linear equation. This results play an important role in analyzing the nonlinear dynamic behavior of the CNT as well as the pull-in voltage of simply supported switches.

Keywords

Acknowledgement

Supported by : 안동대학교

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