Free vibration analysis of skewed open circular cylindrical shells

In this paper, a numerical study is presented for the free vibration of skewed open circular cylindrical deep shells. The formulation considers first-order shear deformation theory of shells and includes rotary inertia and shear deformation so that thin-to-moderately thick shells can be analyzed. A set of grid points, the number of which depends upon the orders of the polynomials chosen for the displacement and rotation components, on the middle surface of the shell is defined first. For a particular displacement component, the field functions are derived corresponding to each node from the above-mentioned set of points and are used in the Rayleigh–Ritz method to calculate frequencies and mode shapes. Convergence study with reference to the order of the polynomials used for the displacement fields was performed first. Numerical results obtained from the present method are compared with those from the finite element method and very good agreement is observed. Additional results are presented and discussed in this paper for skewed panels clamped at the curved edges and free at the straight parallel edges.