Kurpa, LidiyaMazur, OlgaTkachenko, Victoria2018-07-252018-07-252013Kurpa L. Dynamical stability and parametrical vibrations of the laminated plates with complex shape / L. Kurpa, O. Mazur, V. Tkachenko // Latin American Journal of Solids and Structures. – 2013. – Vol. 10, № 1. – P. 175-188.https://repository.kpi.kharkov.ua/handle/KhPI-Press/37103The problem of nonlinear vibrations and stability analysis for the symmetric laminated plates with complex shape, loaded by static or periodic load in-plane is considered. In general case research of stability and parametric vibrations is connected with many mathematical difficulties. For this reason we propose approach based on application of R-functions theory and varia-tional methods (RFM).The developed method takes into ac-count pre-buckle stress state of the plate. The proposed ap-proach is demonstrated on testing problems and applied to laminated plates with cutouts. The effects of geometrical pa-rameters, load, boundary conditions on stability regions and nonlinear vibrations are investigated.ennonlinear vibrationsdynamic stabilitylaminated platesR-functions theoryArticle