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Natural frequencies and buckling of pressurized nanotubes using shear deformable nonlocal shell model

Firouz Abadi, R. D ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1007/s12206-011-1039-y
  3. Abstract:
  4. The small-scale effect on the natural frequencies and buckling of pressurized nanotubes is investigated in this study. Based on the firstorder shear deformable shell theory, the nonlocal theory of elasticity is used to account for the small-scale effect and the governing equations of motion are obtained. Applying modal analysis technique and based on Galerkin's method a procedure is proposed to obtain natural frequencies of vibrations. For the case of nanotubes with simply supported boundary conditions, explicit expressions are obtained which establish the dependency of the natural frequencies and buckling loads of the nanotube on the small-scale parameter and natural frequencies obtained by local continuum mechanics. The obtained solutions generalize the results of nano-bar and -beam models and are verified by the literature. Based on several numerical studies some conclusions are drawn about the small-scale effect on the natural frequencies and buckling pressure of the nanotubes
  5. Keywords:
  6. Pressurized nanotube ; Shear deformable shell ; Analysis techniques ; Beam model ; Buckling loads ; Buckling pressure ; Explicit expressions ; First-order ; Galerkin's method ; Governing equations of motion ; Nonlocal ; Nonlocal elasticity ; Nonlocal theory ; Numerical studies ; Shear deformable shells ; Shell models ; Simply supported ; Buckling ; Continuum mechanics ; Elasticity ; Equations of motion ; Galerkin methods ; Modal analysis ; Nanotubes ; Shear deformation ; Natural frequencies
  7. Source: Journal of Mechanical Science and Technology ; Volume 26, Issue 2 , 2012 , Pages 563-573 ; 1738494X (ISSN)
  8. URL: http://link.springer.com/article/10.1007%2Fs12206-011-1039-y