STUDY ON DYNAMIC SNAP-THROUGH OF A SIX-LAYER ASYMMETRIC CROSS-PLY BISTABLE COMPOSITE LAMINATED PLATE¹⁾

In this paper, the dynamic snap-through phenomenon of a six-layer asymmetric cross-ply bistable composite laminated plate (0/0/0/90/90/90) is studied and the nonlinear vibrations before, after and during the dynamic snap-through are demonstrated. The boundary conditions are fixed at the center and free at the four sides. From the von Kármán's large deflection theory, the dynamic and governing equations of the six-layer asymmetric cross-ply bistable composite laminated plate are established by using the Reddy's third-order shear deformation theory and the Hamilton's principle. Taking the base excitation amplitude as the control parameter, the diagram for the maximum Lyapunov exponents, the Poincaré maps and the time-history for the dynamic snap-through are obtained. Based on the maximum Lyapunov exponents and the Poincaré maps, the periodic vibration, the quasi-periodic vibration, the chaotic vibration and the dynamic snap-through of the six-layer asymmetric cross-ply bistable composite laminated plate are analyzed. It is found that the chaotic vibration is a favorable condition for the dynamic snap-through.