Symplectic analysis for elastic wave propagation in sandwich cylinder

The elastic wave propagation problem in orthotropic sandwich cylinder is analyzed with the symplectic algorithm. By properly organizing the variables, the state space formalism is constructed and then the Hamilton matrix is obtained on the basis of the piece-wise constant hypothesis. With the combination of the symplectic mathematic method of the Hamilton system, extended Wittrick-Williams algorithm and the precise integration method, the dispersion relations are achieved for different sandwich cylinders. Comparison with the polynomial method reveals the effectiveness and superiority of the present method in the analysis of cellular structure wave propagation problem.