Analytical and Numerical Approach to Vibration Analysis of Liquid Filled Aluminum Thin cylindrical Shell

Vibration behavior of empty and variable fluid levels, contained in aluminum cylindrical shells of 2mm and 3mm subjected to horizontal accelerations are considered. Mathematical expressions, which show the motion of cylinder were developed and modified by use of small amplitude wave approximations, enabling equations for the various modes of vibrations and natural frequencies to be obtained [11]. The expression for frequency is formulated by the consideration of fluid in the cylindrical shell. The results were compared by considering modal analysis of aluminum shells, modeled and analyzed using ANSYS. Natural frequencies for different mode shapes are developed for both 2mm and 3mm aluminum shells of empty and with variable water column from the base of the shell. Damping ratios were calculated using half power method. Natural frequencies predicted from analytical method correlated with ANSYS, were found to be in close agreement.