Preprint Article Version 1 NOT YET PEER-REVIEWED

Imperfection Sensitivity of Nonlinear Vibration of Curved Single-Walled Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory

  1. School of Mechanical Engineering, University of Tehran, Tehran, Iran
  2. Department of Mechanical Engineering, Kermanshah University of Technology, Kermanshah, Iran
  3. Laboratory of Bio-Inspired & Graphene Nanomechanics, Department of Civil, Environmental and Mechanical Engineering, Università di Trento, via Mesiano, 77, Trento 38123, Italy
  4. Center for Materials and Microsystems, Fondazione Bruno Kessler—via Sommarive 18, Povo, Trento 38123, Italy
  5. School of Engineering & Materials Science, Queen Mary University of London—Mile End Road, London E1 4NS, UK
Version 1 : Received: 17 September 2016 / Approved: 18 September 2016 / Online: 18 September 2016 (10:14:46 CEST)

A peer-reviewed article of this Preprint also exists.

Eshraghi, I.; Jalali, S.K.; Pugno, N.M. Imperfection Sensitivity of Nonlinear Vibration of Curved Single-Walled Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory.Materials 2016, 9, 786. Eshraghi, I.; Jalali, S.K.; Pugno, N.M. Imperfection Sensitivity of Nonlinear Vibration of Curved Single-Walled Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory.Materials 2016, 9, 786.

Journal reference: Materials 2016, 9, 786
DOI: 10.3390/ma9090786

Abstract

Imperfection sensitivity of large amplitude vibration of curved single-walled carbon nanotubes (SWCNTs) is considered in this study. The SWCNT is modeled as a Timoshenko nano-beam and its curved shape is included as an initial geometric imperfection term in the displacement field. Geometric nonlinearities of von Kármán type and nonlocal elasticity theory of Eringen are employed to derive governing equations of motion of nano-beam. Spatial discretization of governing equations and associated boundary conditions is performed using differential quadrature (DQ) method and the corresponding nonlinear eigenvalue problem is iteratively solved. Effects of value and location of the geometric imperfection, and the nonlocal small-scale parameter on the nonlinear frequency ratio and imperfection sensitivity of a curved SWCNT for various boundary conditions are investigated. The results show that the geometric imperfection plays a significant role in the nonlinear vibration characteristics of curved SWCNTs.

Subject Areas

nonlinear vibration; imperfection; curved SWCNT; nonlocal theory; differential quadrature method (DQ)

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