Nonlinear Parametric Vibrations of a Longitudinally Stiffened Orthotropic Cylindrical Shell with a Filler

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The problem of parametric vibrations of a longitudinally stiffened orthotropic cylindrical shell in contact with an elastic medium and under internal pressure is solved in a geometrically nonlinear formulation using the variational principle. The influence of the external medium is taken into account using the Pasternak model. Amplitude–frequency curves for parametric vibrations of the stiffened orthotropic cylindrical shell filled the medium are constructed.