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How to deal with the singularity in calculation of a closed shell of revolution?

I want to numerical calculate vibration of a closed shell of revolution with double layers. There exists Coefficient cot(θ) in the governing equation, where θ is angle between the revolving axle and normal line. Therefore, cot(θ) will incline to infinity when θ is close to zero for the vertex point on the revolving axle. How to deal with the singularity? Can you give me some advices or reference article? Thanks.

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