Modeling free oscillations of an isotropic cylindrical shell with a variable thickness and density

A problem of obtaining natural oscillation frequencies of an isotropic cylindrical shell with variable thickness and density along the generatrix is considered based on V.Z. Vlasov’s semi-membrane theory [1]. For one relation between the change in thickness and density we obtained an exact solution for finding the base oscillation frequency of a cylindrical shell with a variable thickness and density along the generatrix.

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