Abstract
We consider a problem of nonlinear parametric vibrations of a cylindrical shell. The vibrations are described by the Donnell–Mushtari–Vlasov equations. Motions are expanded in the modes of natural vibrations of the shell. A dynamic system with six degrees of freedom is obtained by the Bubnov–Galerkin method. The system is investigated by the method of multiple scales. The solution of the problem is represented with the use of amplitude–frequency characteristics.
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