Abstract
Free vibrations of an inhomogeneous anisotropic, fluid-contacting cylindrical shell stiffened with inhomogeneous rods and rings are consider. The Hamilton – Ostrogradsky variation principle was used when solving the problem. It was accepted that the nonhomogeneity of rods and rings used in the strengthening change by the exponential law. The inhomogeneous of the cylindrical shell change by the linear law in the direction of the thickness. The fluid was accepted as ideal. Rigid contact condition between the rods and the cylindrical shell was considered. Using the contact conditions, the frequency equation was structured, the roots were found implemented by the numerical method and characteristically curves were built.
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