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Energy dissipation of damping cantilevered single-walled carbon nanotube oscillator

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Abstract

The cantilevered carbon nanotube is a traditional model in the design of some precise nano-oscillators. The sensitivity that is denoted by the quality factor defined as the ratio of the energy stored to the energy dissipated by losses in the oscillator is an important index for the nano-oscillators. In this paper, the small mass impacting on the single-walled carbon nanotube is simplified as an impact load and the governing equation of the transverse oscillation for the nanotube is established firstly. Based on the structure-preserving idea, the generalized multi-symplectic formulations of the governing equation are constructed. The oscillation of the damping nanotube under the transverse impact load with different amplitudes is simulated after the small numerical dissipation and the good convergence of the scheme constructed is verified. From the numerical results, the effects of the induced tension and the energy dissipation are investigated. More importantly, the high precision and the feasibility of the numerical approach proposed in this paper for reproducing the energy dissipation in the carbon nanotube oscillator are illustrated, which gives a new way to investigate the properties of the carbon nanotube oscillators.

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Acknowledgements

The authors wish to thank Professor H. Ouyang of the University of Liverpool for several good suggestions. The research is supported by the National Natural Science Foundation of China (11672241 and 11372253), the fund of the State Key Laboratory of Solidification Processing in NWPU (SKLSP201643) and the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment (GZ1605).

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Authors and Affiliations

  1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, 710072, Shaanxi, People’s Republic of China

    Weipeng Hu, Mingzhe Song, Tingting Yin & Zichen Deng

  2. State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian, 116023, Liaoning, People’s Republic of China

    Weipeng Hu & Zichen Deng

  3. State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi’an, 710072, Shaanxi, People’s Republic of China

    Weipeng Hu & Bingqing Wei

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Correspondence to Weipeng Hu.

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Hu, W., Song, M., Yin, T. et al. Energy dissipation of damping cantilevered single-walled carbon nanotube oscillator. Nonlinear Dyn 91, 767–776 (2018). https://doi.org/10.1007/s11071-017-3843-0

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