Nonlinear vibration and instability of fluid-conveying DWBNNT embedded in a visco-Pasternak medium using modified couple stress theory

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• 作者：A. Ghorbanpour Arani ; M. R. Bagheri…
• 关键词：DWBNNT ; Fluid flow ; Viscoelastic Pasternak medium ; Electric potential
• 刊名：Journal of Mechanical Science and Technology
• 出版年：2013
• 出版时间：September 2013
• 年：2013
• 卷：27
• 期：9
• 页码：2645-2658
• 全文大小：911KB
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• 作者单位：A. Ghorbanpour Arani (1) (2)
  M. R. Bagheri (1)
  R. Kolahchi (1)
  Z. Khoddami Maraghi (1)
  
  1. Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
  2. Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran
  
• ISSN：1976-3824

文摘

Nonlinear free vibration and instability of fluid-conveying double-walled boron nitride nanotubes (DWBNNTs) embedded in viscoelastic medium are studied in this paper. The effects of the transverse shear deformation and rotary inertia are considered by utilizing the Timoshenko beam theory. The size effect is applied by the modified couple stress theory and considering a material length scale parameter for beam model. The nonlinear effect is considered by the Von Kármán type geometric nonlinearity. The electromechanical coupling and charge equation are employed to consider the piezoelectric effect. The surrounding viscoelastic medium is described as the linear visco-Pasternak foundation model characterized by the spring and damper. Hamilton’s principle is used to derive the governing equations and boundary conditions. The differential quadrature method (DQM) is employed to discretize the nonlinear higher-order governing equations, which are then solved by a direct iterative method to obtain the nonlinear vibration frequency and critical fluid velocity of fluid-conveying DWBNNTs with clamped-clamped (C-C) boundary conditions. A detailed parametric study is conducted to elucidate the influences of the small scale coefficient, spring and damping constants of surrounding viscoelastic medium and fluid velocity on the nonlinear free vibration, instability and electric potential distribution of DWBNNTs. This study might be useful for the design and smart control of nano devices.