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Controlled Stable Oscillation of Nanomechanical Systems Based on Carbon Nanotubes

  • Condensed Matter
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Abstract

Numerical simulations are used to study the conditions controlling the stable oscillation of nanomechanical systems based on carbon nanotubes under periodic harmonic driving force. It is shown that the conditions to sustain the stable oscillation are not only dependent on the driving frequency, but also dependent on the amplitude and the initial phase of the driving force. Once the oscillatory frequency is given, the driving frequency must be equal to the integral multiple of the oscillatory frequency in order to sustain the stable oscillation. We determine the conditions by a combination of equations containing the parameters of the oscillator and the driving force, and solve it numerically. Sustained stable oscillation for the systems with a nonlinear dependence of the friction force on the relative velocity of the tubes can be obtained by properly choosing the amplitude and the initial phase of the periodic harmonic driving force. Both regular and irregular oscillatory modes are observed.

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Acknowledgments

This work is supported by the National Key Basic Research Program of China (Grant No. 2013CB934200), the Key Program of the National Natural Science Foundation of China (Grant No. 10832005), and the National Natural Science Foundation of China (Grant No. 11264030).

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Authors and Affiliations

  1. Institute for Advanced Study, Nanchang University, Nanchang, 330031, Jiangxi, China

    Jian-Wen Li & Nian-Hua Liu

  2. School of Science, Nanchang Institute of Technology, Nanchang, 330099, Jiangxi, China

    Jian-Wen Li

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  1. Jian-Wen Li
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  2. Nian-Hua Liu
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Correspondence to Nian-Hua Liu.

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Li, JW., Liu, NH. Controlled Stable Oscillation of Nanomechanical Systems Based on Carbon Nanotubes. Braz J Phys 45, 47–53 (2015). https://doi.org/10.1007/s13538-014-0287-6

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  • DOI: https://doi.org/10.1007/s13538-014-0287-6

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