Loading...

A meshless approach for free transverse vibration of embedded single-walled nanotubes with arbitrary boundary conditions accounting for nonlocal effect

Kiani, K ; Sharif University of Technology

658 Viewed
  1. Type of Document: Article
  2. DOI: 10.1016/j.ijmecsci.2010.06.010
  3. Abstract:
  4. A single-walled nanotube structure embedded in an elastic matrix is simulated by the nonlocal EulerBernoulli, Timoshenko, and higher order beams. The beams are assumed to be elastically supported and attached to continuous lateral and rotational springs to take into account the effects of the surrounding matrix. The discrete equations of motion associated with free transverse vibration of each model are established in the context of the nonlocal continuum mechanics of Eringen using Hamilton's principle and an efficient meshless method. The effects of slenderness ratio of the nanotube, small scale effect parameter, initial axial force and the stiffness of the surrounding matrix on the natural frequencies of various beam models are investigated for different boundary conditions. The capabilities of the proposed nonlocal beam models in capturing the natural frequencies of the nanotube are also addressed
  5. Keywords:
  6. Natural frequencies ; Nonlocal EulerBernoulli beam ; Nonlocal higher order beam ; Nonlocal Timoshenko beam ; Reproducing kernel particle method (RKPM) ; Single walled nanotubes ; Euler Bernoulli beams ; Higher order ; Nonlocal ; Reproducing kernel particle method ; Timoshenko beams ; Boundary conditions ; Continuum mechanics ; Elasticity ; Equations of motion ; Fluid structure interaction ; Particle beams ; Stiffness matrix ; Nanotubes
  7. Source: International Journal of Mechanical Sciences ; Volume 52, Issue 10 , 2010 , Pages 1343-1356 ; 00207403 (ISSN)
  8. URL: http://www.sciencedirect.com/science/article/pii/S002074031000158X