Kochurov R. Parametric vibrations of cylindrical shell-type elements of mechanical engineering structures under geometrically nonlinear deformation

The object of research is vibrations, bifurcations and stability of motion of thin-walled cylindrical shell structures under geometrically nonlinear deformation. The research aim is to develop methods for analyzing multi-mode vibrations of thin-walled cylindrical shell structures and dynamic behavior, bifurcations and stability of motions of cylindrical shells under geometrically nonlinear deformation study. The methods are analytical and numerical methods of nonlinear dynamics: the Bubnov-Galerkin, nonlinear normal modes of vibration, multiply scales, harmonic balance, continuation technic. Original method for geometrically nonlinear vibrations of thin-walled cylindrical shell structures analysis was created. This method allows us to study bifurcations, stability of motion, and internal resonances. The nonlinear parametric vibrations analysis of cylindrical shells was made. A new approach for dynamic strength analysis of engineering structures under seismic loads was proposed. The research results can be used at the design stage for constructing the amplitude-frequency characteristics of vibrations of structures. The dynamical strength analysis of structures under seismic loading approach can be used for seismic resistance of structures calculations. The results of the research have been introduced at PC "UkrNIIhimmash". The field of application: mechanical engineering, aerospace, power industry.