Free and forced vibration analysis of laminated functionally graded CNTreinforced composite cylindrical panels

Abstract

In this paper, free and forced vibration analysis of multi-layered functionally graded composite cylindrical panels reinforced by single wall carbon nanotubes is presented. The panel is composed of different layers which are reinforced using carbon nanotubes arranged in arbitrary directions. Reddy’s third-order shear deformation theory is used which makes results more accurate especially for thick panels. The set of governing equations and boundary conditions is derived using Hamilton’s principle and is solved numerically using generalized differential quadrature method and Newmark beta method. Convergence and accuracy of the presented solution are confirmed and effect of volume fraction, distribution and orientation of carbon nanotubes and geometrical parameters on the natural frequencies of the panel are investigated for different boundary conditions. Also, effect of volume fraction and orientation of carbon nanotubes on the dynamic response of the panel are investigated. Result of this paper can be considered as a useful tool in dynamic analysis of multilayer carbon nanotube-reinforced structures.