title: Research of Nonlinear Vibrations of Laminated Shallow Shells with Cutouts by R-functions Method
abstract: In present work an effective method to research geometrically nonlinear free vibrations of elements of thin-walled constructions that can be modeled as laminated shallow shells with complex planform is applied. The proposed method is based on joint use of R–functions theory, variational methods and Bubnov–Galerkin procedure. It allows reducing an initial nonlinear system of motion equations of a shallow shell to the Cauchy problem. The mathematical formulation of the problem is performed in a fr
journal: Bulletin of the National Technical University «KhPI» Series Dynamics and Strength of Machines