Dynamical stability and parametrical vibrations of the laminated plates with complex shape

the 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 variational methods (rfm).the developed method takes into account pre-buckle stress state of the plate. the proposed approach is demonstrated on testing problems and applied to laminated plates with cutouts. the effects of geometrical parameters, load, boundary conditions on stability regions and nonlinear vibrations are investigated.