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Dynamic analysis of carbon nanotubes under electrostatic actuation using modified couple stress theory

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Abstract

Modified couple stress theory is a size-dependent theorem capturing the micro/nanoscale effects influencing the mechanical behaviors of the micro- and nanostructures. In this paper, it is applied to investigate the nonlinear vibration of carbon nanotubes under step DC voltage. The vibration, natural frequencies and dynamic pull-in characteristics of the carbon nanotubes are studied in detail. Moreover, the effects of various boundary conditions and geometries are scrutinized on the dynamic characteristics. The results reveal that application of this theory leads to the higher values of the natural frequencies and dynamic pull-in voltages.

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Authors and Affiliations

  1. Karaj Branch, Islamic Azad University, Karaj, Iran

    Mir Masoud Seyyed Fakhrabadi

  2. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

    Abbas Rastgoo & Mahmoud Mosavi Mashhadi

  3. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

    Mohammad Taghi Ahmadian

Authors
  1. Mir Masoud Seyyed Fakhrabadi
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  2. Abbas Rastgoo
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  3. Mohammad Taghi Ahmadian
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  4. Mahmoud Mosavi Mashhadi
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Correspondence to Mir Masoud Seyyed Fakhrabadi.

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Fakhrabadi, M.M.S., Rastgoo, A., Ahmadian, M.T. et al. Dynamic analysis of carbon nanotubes under electrostatic actuation using modified couple stress theory. Acta Mech 225, 1523–1535 (2014). https://doi.org/10.1007/s00707-013-1013-0

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  • DOI: https://doi.org/10.1007/s00707-013-1013-0

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