Free vibration analysis of rotating functionally graded truncated conical shells

The influences of centrifugal and Coriolis forces in combination with the other geometrical and material parameters on the free vibration behavior of rotating functionally graded (FG) truncated conical shells subjected to different boundary conditions are investigated. The initial dynamic equilibrium equations and the free vibration equations of motion around this equilibrium state and also the related boundary conditions are derived based on the first-order shear deformation theory (FSDT) of shells. The material properties are assumed to be graded in the thickness direction. The differential quadrature method (DQM) as an efficient and accurate numerical tool is adopted to discretize the governing equations and the related boundary conditions. The convergence behavior of the method is demonstrated and in the limit cases, comparison studies with the available solutions in the literature are performed. Finally, the effects of angular velocity, Coriolis acceleration, material property graded index and geometrical parameters on the frequency parameters of the rotating FG truncated conical shells with different boundary conditions are studied. (C) 2012 Elsevier Ltd. All rights reserved.