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Nonlinear vibration and adhesion instability of Casimir-induced nonlocal nanowires with the consideration of surface energy

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Abstract

The following research work deals with the size-dependent dynamic instability of suspended nanowires in the presence of Casimir force and surface effects. Specifically, the Casimir-induced instability of nanostructures with circular cross-section and cylinder-plate geometry is studied. Following the Gurtin–Murdoch model and nonlocal elasticity, the governing equation of motion for nanowires is derived. To express the Casimir attraction of cylinder-plate geometry, two approaches, e.g. proximity force approximation (PFA) for small separations and Dirichlet asymptotic approximation for large separations are studied. To overcome the difficulties for solving a nonlinear problem, a step-by-step numerical method is utilized. The effects of nonlocal parameter, surface energy and vacuum fluctuations on the dynamic instability characteristic and adhesion time of nanowires are studied. It is observed that the phase portrait of Casimir-induced nanowires exhibit periodic and homoclinic orbits.

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Authors and Affiliations

  1. Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran

    Hamid M. Sedighi

  2. Mechanical Engineering Department, Faculty of Engineering, Shohadaye Hoveizeh University of Technology, Dasht-e-Azadegan, Iran

    Alireza Bozorgmehri

Authors
  1. Hamid M. Sedighi
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  2. Alireza Bozorgmehri
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Correspondence to Hamid M. Sedighi.

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Technical Editor: Kátia Lucchesi Cavalca Dedini.

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Sedighi, H.M., Bozorgmehri, A. Nonlinear vibration and adhesion instability of Casimir-induced nonlocal nanowires with the consideration of surface energy. J Braz. Soc. Mech. Sci. Eng. 39, 427–442 (2017). https://doi.org/10.1007/s40430-016-0530-x

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  • DOI: https://doi.org/10.1007/s40430-016-0530-x

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