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

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• 作者：Hamid M. Sedighi ; Alireza Bozorgmehri
• 关键词：Suspended cylindrical nanowire ; Casimir force ; Proximity force approximation (PFA) ; Dirichlet asymptotic approximation
• 刊名：Journal of the Brazilian Society of Mechanical Sciences and Engineering
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：39
• 期：2
• 页码：427-442
• 全文大小：
• 刊物主题：Mechanical Engineering;
• 出版者：Springer Berlin Heidelberg
• ISSN：1806-3691
• 卷排序：39

文摘

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.