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Coupled twist–bending static and dynamic behavior of a curved single-walled carbon nanotube based on nonlocal theory

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Abstract

The static and dynamic behavior of a curved single-walled carbon nanotube which is under twist–bending couple based on nonlocal theory is analyzed. The nonlocal theory is used to model the mechanical behavior of structure in small scale. The obtained differential equations are solved using a simply supported boundary condition and Navier analytical method. Moreover the twisted vibration and bending of curved nanotube is analyzed and also the armchair model is assumed in this study. The following parameters were studied in this paper: the effect of nonlocal parameter, the curved nanotube’s opening angel, the Young’s modulus and the mode number is studied. The results were verified with the previous literature which showed an excellent agreement. The results of this paper can be used as a benchmark for future investigations.

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Acknowledgments

The Authors would like to acknowledge that this research received no specific grant from any funding agency in the public, commercial or not-for-profit sectors.

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Authors and Affiliations

  1. Faculty of Engineering and Information Technology, University of Technology Sydney, PO Box 123, Broadway, Ultimo, NSW, 2007, Australia

    Hasti Hayati

  2. Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran

    Seyyed Amirhosein Hosseini

  3. Head of Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran

    Omid Rahmani

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  1. Hasti Hayati
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  2. Seyyed Amirhosein Hosseini
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  3. Omid Rahmani
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Correspondence to Hasti Hayati.

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Hayati, H., Hosseini, S.A. & Rahmani, O. Coupled twist–bending static and dynamic behavior of a curved single-walled carbon nanotube based on nonlocal theory. Microsyst Technol 23, 2393–2401 (2017). https://doi.org/10.1007/s00542-016-2933-0

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