Dynamic Buckling And Chaotic Behavior Of Composite Cylindrical Shell

With the progress of science and innovation of processing technology,composite materials with high performance are widely used in varies kinds ofengineering-structures. The mechanical behavior of composite cylindrical shellsunder dynamic loading is the focus of attention. In the paper, the mechanicalbehavior of the composite cylindrical shell under step loading is discussed indetail, mainly about the dynamic buckling and chaotic behavior. These studiessystematically reveal the nature of composite cylindrical shells’ mechanicalbehavior under a dynamic load, and provide a theoretical basis for theengineering application. The research mainly includes the following aspects:(1) Considering the effect of stress wave, the dynamic buckling ofcomposite circular cylindrical shells under an axial step load is discussed usingthe classical shell theories and the state-space technique in the paper. Based onthe Hamilton’s principle, the dynamic buckling governing equations of shells are derived and solved with the Rayleigh-Ritz method. If the linear homogeneousequations have a non-trivial solution, the determinant of the coefficient matrixmust be equal to zero, so the expression of the critical load on the dynamicbuckling is got. The relationship between the critical load and length is obtainedby using MATLAB software. The influences of boundary conditions, plyorientations, thickness, the number of circumferential waves and the number ofaxial waves on the dynamic buckling loads are discussed based on numericalcomputation. We can obtained the clamped boundary condition has the strongestcapacity to resist buckling. But the difference decreases along with thepropagation of stress wave. The critical dynamic buckling load increases withthe thickness of cylindrical shells decrease.(2) On the basis of nonlinear large deflection theory of cylindrical shell, thelarge deflection governing equations of composite circular cylindrical shells aregot. Then the equations are changed into nonlinear differential dynamic equationby Galerkin method. At last used the bifurcation diagram、phase portrait andPoincaré map to describe the chaotic behavior of composite circular cylindricalshells, the results show the existence of the periodic and chaotic motion with theload amplitude, which demonstrate those responses appear alternately.