Based on modal decomposition, an explicit formula for edge resonance solution in circular cylinders is presented here. Using the bi-orthogonality relation and singular value decomposition, the method could get the exact edge resonance frequency of circular cylinders. The calculation results are compared with numerical simulation results for verification.
Two methods based on modal decomposition in circular cylinders are presented here. One is based on bi-orthogonality relation and the other is based on boundary discretization for mode matching. The two methods are comprised in numerical implementation and the efficiencies are evaluated.
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