Nonlinear Parametric Vibrations of a Longitudinally Stiffened Orthotropic Cylindrical Shell with Filler
F. S. Latifov1, M. A. Mekhtiev2
1Azerbaijan Architecture and Construction University, Baku, Azerbaijan, AZ 1073
2Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, Azerbaijan, AZ 1141
Keywords: цилиндрическая оболочка, заполнитель, нелинейные параметрические колебания, вариационный принцип, подкрепленная оболочка, cylindrical shell, filler, nonlinear parametric vibrations, variational principle, stiffened shell
Abstract
Using the variational principle in a geometrically nonlinear formulation 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 dependences are constructed for parametric vibrations of a stiffened orthotropic cylindrical shell filled the medium.
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