Theoretical Analysis of Rotating Hollow Cylinder's Vibrations

Recently, energy storage systems are one of necessity in smart microgrid systems. Electro-mechanical batteries have important advantages compared with chemical batteries. More efficiency and life time, lower weight and volume can be mentioned. The vibration of an elastic, thick, hollow and finite length cylinder when subjected to the constant angular velocity is studied in this paper. Based on the technique of variables separation and utilizing the finite circular cylinders solution, a general solution is developed to analyze the vibration of rotating cylinders. Convergence of the method is 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 semi-analytical methods for zero angular velocity. (C) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of University of Electronic Science and Technology of China (UESTC).