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.