Author/Authors :
Hosseini, M. Department of Mechanical Engineering - Sirjan University of Technology, Sirjan , Ghorbanpour Arani, A. Faculty of Mechanical Engineering - University of Kashan, Kashan , karamizadeh, M. Department of Mechanical Engineering - Sirjan University of Technology, Sirjan , Niknejad, Sh. Faculty of Mechanical Engineering, University of Kashan, Kashan , Hosseinpour, A. Department of Mechanical Engineering and Engineering science - University of North Carolina at Charlotte, United States
Abstract :
In this paper, a numerical solution is presented for static and
dynamic stability analysis of carbon nanotube (CNT) reinforced
beams resting on Pasternak foundation. The beam is considered to
be exposed to compressive axial and follower forces at its free end.
The beam is modeled based on the Reddy’s third order shear
deformation theory and governing equations and external boundary
conditions are derived using Hamilton’s principle. The set of
governing equations and boundary conditions are solved
numerically using differential quadrature method. Convergence and
accuracy of results are confirmed and effect of various parameters
on the stability region of the beam is investigated including volume
fraction and distribution of CNTs, width and thickness of the beam
and elastic and shear coefficients of the foundation
Keywords :
Dynamic stability , Follower force , Carbon nanotube , Pasternak foundation
