Nonlinear vibration of coupled nano- and microstructures conveying fluid based on Timoshenko beam model under two-dimensional magnetic field

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• 作者：A. Ghorbanpour Arani ; P. Dashti ; S. Amir ; M. Yousefi
• 刊名：Acta Mechanica
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：226
• 期：8
• 页码：2729-2760
• 全文大小：1,768 KB
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• 作者单位：A. Ghorbanpour Arani (1) (2)
  P. Dashti (1)
  S. Amir (1)
  M. Yousefi (1)
  
  1. Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
  2. Institute of Nanoscience and Nanotechnology, University of Kashan, Kashan, Iran
  
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics, Fluids and Thermodynamics
  Continuum Mechanics and Mechanics of Materials
  Structural Mechanics
  Vibration, Dynamical Systems and Control
  Engineering Thermodynamics and Transport Phenomena
  
• 出版者：Springer Wien
• ISSN：1619-6937

文摘

Nonlinear vibration response of coupled viscoelastic carbon nanotubes (CNTs) conveying viscous fluid is investigated based on nonlocal and modified couple stress theories. The CNTs are placed in a uniform two-dimensional (2D) magnetic field and modeled by a Timoshenko beam. The effect of slip boundary condition is considered in the Navier–Stokes relations based on the Knudsen number correction factor. The higher-order governing equations of motion are derived based on the energy method and Hamilton’s principle where the differential quadrature (DQ) approach is applied to obtain the nonlinear frequency of coupled system. A detailed parametric study is conducted, focusing on the combined effects of 2D magnetic field, Visco-Pasternak foundation, Knudsen number, surface effect, velocity of conveying viscous fluid, and different theories. Also, the Galerkin method is applied to compare our linear results to those that are obtained by the DQ approach. The results of this article could be useful in designing and manufacturing of double nano-/micromechanical systems that are usually used in advanced biomechanics and optics.