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single-walled-boron-nitride-nanotubes--swbnnt
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Differential quadrature method for nonlocal nonlinear vibration analysis of a boron nitride nanotube using sinusoidal shear deformation theory
, Article Mechanics of Advanced Materials and Structures ; Volume 23, Issue 11 , 2016 , Pages 1278-1283 ; 15376494 (ISSN) ; Sadatshojaie, A ; Fakhar, M. H ; Sharif University of Technology
Taylor and Francis Inc
2016
Abstract
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...