Free vibration analysis of rotating functionally graded CNT reinforced composite cylindrical shells with arbitrary boundary conditions

In this paper, a general approach is provided for the free vibration analysis of rotating functionally graded carbon nanotube reinforced composite (FG-CNTRC) cylindrical shells with arbitrary boundary conditions. General formulations are derived based on the first-order shear deformation theory, the Donnell-type kinematic assumptions, and the artificial spring technique. Coriolis and centrifugal effects due to rotation are taken into account in the shell model. By employing Chebyshev polynomials as admissible functions, the Rayleigh-Ritz method is employed to derive the equations of motion for rotating FG-CNTRC cylindrical shells. The approach proposed is validated by comparing the present results with those reported in literature. The traveling wave motions of rotating FG-CNTRC shells are investigated. The effects of geometric parameters, volume fraction of carbon nanotubes, and boundary conditions on shell vibrations are also evaluated.