Prediction of damped circular cylindrical shell vibration using energy flow analysis

Abstract

Approximate energy prediction tools are gaining popularity in the field of engineering noise control because of the need to quickly predict the high frequency dynamic response of complex systems. One approximate energy prediction tool commonly used is statistical energy analysis. However, many problems encountered in the field of engineering noise control do not satisfy the assumptions of lightly damped, lightly coupled systems. A second method, energy flow analysis, has been proposed for the case of moderate damping and coupling. The application of energy flow analysis to plates and beams is well documented in the literature. However, applications of energy flow analysis to shells of curvature are limited and need to be addressed. Two approaches for modeling radial vibration of damped circular cylindrical shells using energy flow analysis are proposed and verified in this presentation. The formulations of the solutions are discussed. Qualitative and quantitative comparisons of the responses predicted by the energy flow models to analytical predictions are made. From the comparisons, it is concluded that energy flow analysis provides a valid method to model radial vibration of circular cylindrical shells subjected to a radial excitation both above and below the ring frequency of the cylinder.