Mindlin层合圆柱壳理论的Hamiltonian结构与辛解析解

The Hamiltonian Structure and Symplectic Method for the Analysis of Mindlin Laminated Cylindrical Shells

通过引进状态变量及其对偶变量。建立Ｍｉｎｄｌｉｎ层合圆柱壳的Ｈａｍｉｌｔｏｎ正则方程．在辛几何数学框架下，采用共轭辛正交归一关系给出各种复杂边界条件下的精确解．

Through introducing the mixed state variables and their dual variables, the Hamiltonian canonical equation for the Mindlin composite laminated cylindrical shells is derived, and the exact solution is also presented by the adjoint orthonormalized symplectic method.