Многомерные модели параметрических колебаний цилиндрических оболочек при геометрически нелинейном деформировании

摘要

The nonlinear parametric vibrations of cylindrical shell are described by theudDonell-Mushtari-Vlasov equations. The motion is represented in the form of multi-mode expansion by udmodes. A discretization is carried out by the Bubnov-Galerkin method. By use of harmonic balance udmethod, the motion in regimes of the running waves and the nonlinearudnormal modes is studied for the system with dissipation and without one.