PARAMETRIC VIBRATION OF CYLINDRICAL SHELLS IN THE REGION OF COMBINATION RESONANCES UNDER GEOMETRICALLY NONLINEAR DEFORMATION

摘要

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.