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Постійне посилання на розділhttps://repository.kpi.kharkov.ua/handle/KhPI-Press/35393
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Документ Dynamical stability and parametrical vibrations of the laminated plates with complex shape(Marcílio Alves, 2013) Kurpa, Lidiya; Mazur, Olga; Tkachenko, VictoriaThe 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.Документ Investigation of the Parametric Vibrations of Laminated Plates by RFM(NTU "KhPI", 2016) Kurpa, Lidiya; Mazur, Olga; Tkachenko, VictoriaThe R-functions theory is applied to study free vibration and dynamic instability of the symmetrically laminated plates subjected to combined static and periodic axial forces. It is assumed that subcritical state of the plate may be inhomogeneous. Theoretical formulation is made on the classical plate theory (CTP). The developed approach is based on combined application of Ritz’s method, Galerkin procedure, R-functions theory and Bolotin’s method. The buckling, instability zones and response curves for laminated plate with different external cutouts are presented and discussed. Effects of plate geometrical parameters, parking of layers, mechanical characteristics of the material on buckling, natural frequencies and parametric resonance are also studied.