Vibration analysis of spinning cylindrical shells by finite element method

The vibration of spinning cylindrical shells are analyzed by using nine-node super-parametric finite element with shear and axial deformation and rotatory inertia. The non-linear plant-shell theory for large deflection is used to handle the cylindrical shell before it reaches equilibrium state by centrifugal force. Hamilton principle is used to present the motion equation of finite element form. The effects of Coriolis acceleration, centrifugal force, initial tension and geometric non-linearity due to large deformation are considered in this model. The effect of geometric non-linearity of large deformation on the frequency of spinning cylindrical shells, the effect of boundary conditions on the frequency parameter of spinning cylindrical shells and the effect of rotation speed on the different modes of spinning cylindrical shells have been investigated in detail. (C) 2002 Elsevier Science Ltd. All rights reserved.