Периодические, почти периодические и хаотические вынужденные колебания пологой консольной оболочки при геометрически нелинейном деформировании

2017 
A nonlinear dynamical system with a finite number of degrees of freedom is obtained, which describes the forced oscillations of the shallow shell for its geometrically nonlinear deformation. To derive this dynamic system, the method of given forms. In the region of the first fundamental resonance, the Neumark-Sacker bifurcations are investigated. As a result of these bifurcations, almost periodic oscillations arise, which are transformed into chaotic oscillations. The properties of these oscillations are explored.
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