Free vibration analysis of spiral thick cylindrical shells using the Rayleigh-Ritz method

The derivation of fundamental equations about the free vibration of spiral thick cylindrical shells is presented in this paper. Firstly, the strain-displacement relationships is based on assumptions of the three-dimensional coordinate system. Then, the principle of virtual work for the vibration of spiral thick cylindrical shells is formulated with some numerical results using the Rayleigh-Ritz method by considering rotating inertia and shear deformation. The numerical results are compared with those which are in the literature and are obtained by finite element method, etc. The method presented in this paper is useful for analyzing free vibration of spiral thick cylindrical shells.