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Differential quadrature method for nonlocal nonlinear vibration analysis of a boron nitride nanotube using sinusoidal shear deformation theory

Sadatshojaei, E ; Sharif University of Technology | 2016

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  1. Type of Document: Article
  2. DOI: 10.1080/15376494.2015.1068407
  3. Publisher: Taylor and Francis Inc , 2016
  4. Abstract:
  5. This article presents a nonlocal sinusoidal shear deformation beam theory (SDBT) for the nonlinear vibration of single-walled boron nitride nanotubes (SWBNNTs). The surrounding elastic medium is simulated based on nonlinear Pasternak foundation. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion of the SWBNNTs are derived using Hamilton's principle. Differential quadrature method (DQM) for the nonlinear frequency is presented, and the obtained results are compared with those predicted by the nonlocal Timoshenko beam theory (TBT). The effects of nonlocal parameter, vibrational modes, length, and elastic medium on the nonlinear frequency of SWBNNTs are considered
  6. Keywords:
  7. Differential quadrature method (DQM) ; Nonlinear elastic medium ; Nonlinear vibration ; Single walled boron nitride nanotubes (SWBNNT) ; Sinusoidal shear deformation theory ; Boron nitride ; Differentiation (calculus) ; Equations of motion ; Nanotubes ; Nitrides ; Plates (structural components) ; Shear deformation ; Yarn ; Differential quadrature methods ; Non-linear vibrations ; Nonlinear elastics ; Shear deformation theory ; Single-walled boron nitride nanotubes ; Vibration analysis
  8. Source: Mechanics of Advanced Materials and Structures ; Volume 23, Issue 11 , 2016 , Pages 1278-1283 ; 15376494 (ISSN)
  9. URL: http://www.tandfonline.com/doi/full/10.1080/15376494.2015.1068407