Frequency analysis of cylindrical panels using a wave propagation approach

The vibration analysis of cylindrical panels using a wave propagation method is presented. Results obtained using the method have been evaluated against those available in the literature and good agreement has been found. The present method is a simple, non-iterative and effective method. With the present method the effects of panel parameters, axial mode m, circumferential mode n, thickness parameter hr, length parameter LB and shallowness angle θ0 on the frequencies are investigated. The frequency curves present three patterns for three different regions of shallowness angle θ0. They are respectively increase-shaped curves, u-shaped curves and decrease-shaped curves for small, middle and large shallowness angle θ0. For large circumferential mode n the frequencies are determined by n and regardless of LB ratios. The stiffness of the panel increases rapidly with the increase of thickness of panel for small shallowness angle θ0, but not so for larger shallowness angles θ0. The frequencies for the square planform types of panel are larger than that for the rectangular planform types of panel. The frequencies increase with the increase of shallowness angle θ0.