Finite cylinder vibrations with different end boundary conditions

Utilizing the infinite circular cylinders solution based on the technique of variables separation, a general solution is developed to analyze the vibration of finite circular cylinders. The vibration of finite circular cylinders with different end boundary conditions as well as the curved panels can be analyzed by the semi-analytical method developed in the present study. In the present paper two different boundary conditions are considered, namely the free-end and fixed-end hollow cylinders. Convergence and precision of the method are determined to calculate the natural frequencies of various geometrical configurations. It is shown that the results obtained from the present semi-analytical method are in good agreement with those obtained using the previously developed methods. Generality, high accuracy and good convergence with a small sized of coefficient matrix are the merits of the present method.