Исследование вынужденных геометрически нелинейных колебаний многослойных пологих оболочек несимметричной структуры

Abstract

In the paper a method for studying the forced nonlinear vibrations of shallow shells with a complex planform and the various boundary conditions is proposed. Formulation of the problem is carried out using the classical geometrically nonlinear theory of shallow shells. The R-functions theory, Ritz method and Bubnov-Galerkin method are essentially used in the developed method. The developed software for the system POLE-RL allows to test the proposed approach and apply the method to investigate the laminated shallow shells with a complex planform and the different types of boundary conditions.