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Mathematical Modelling of Carbon Nanotube with Fluid Flow using Keller Box Method: A Vibrational Study

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Abstract

In this paper, the nonlinear vibration of an embedded single-walled carbon nanotube conveying fluid is investigated numerically. The nonlocal continuum theory is applied to simulate the nonlinear vibration of a single-walled carbon nanotube with fluid flow. The Keller Box Method is used to solve the corresponding nonlinear differential equation. The effects of the flow velocity, vibration amplitude, nonlocal parameter and stiffness of the medium on the nonlinear frequency of carbon nanotube are studied.The results show that the nonlinear flow-induced frequency alter from the linear frequency greatly when the amplitude, flow velocity, and nonlocal parameter are high while for the carbon nanotubes embedded in the mediums of high Pasternak parameters, the nonlinearity of the model does not demonstrate a significant effect on the frequency.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Pardisan High Education Institute, Feridonkenar, Iran

    A. A. Ahmadi Asoor

  2. Department of Textile and Apparel, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

    P. Valipour

  3. Young Reseachers and Elite Club, Sari Branch, Islamic Azad University, Sari, Iran

    S. E. Ghasemi

  4. Department of Mechanical Engineering, Babol University of Technology, Babol, Iran

    D. D. Ganji

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  1. A. A. Ahmadi Asoor
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  2. P. Valipour
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  4. D. D. Ganji
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Correspondence to P. Valipour.

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Asoor, A.A.A., Valipour, P., Ghasemi, S.E. et al. Mathematical Modelling of Carbon Nanotube with Fluid Flow using Keller Box Method: A Vibrational Study. Int. J. Appl. Comput. Math 3, 1689–1701 (2017). https://doi.org/10.1007/s40819-016-0206-3

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