Symplectic Solutions and Computational Method of Transversely Isotropic Elastic Cylinders

摘要

In this paper, the three dimensional problem of transversely isotropic elastic cylinders is solved analytically in the symplectic space. A new double duality system is presented. In this system, the problem is reduced to solving eigenvalues and eigensolutions, which can be handled with the non-classic boundary conditions at the two ends, by the aid of the adjoint symplectic orthogonal relationships. The method can change partial differential equations into ordinary differential equations or algebraic equations. Base on the theoretic formulation, computational method and numerical examples are given.