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Dynamic analysis of carbon nanotubes under electrostatic actuation using modified couple stress theory
Authors:Mir Masoud Seyyed Fakhrabadi  Abbas Rastgoo  Mohammad Taghi Ahmadian  Mahmoud Mosavi Mashhadi
Affiliation:1. Karaj Branch, Islamic Azad University, Karaj, Iran
2. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
3. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
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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