考虑剪切效应层合板的Hamilton体系及辛几何方法  

Hamilton System and Symplectic Geometry Algorithms for the Shear Deformable Angle ply Laminated Plates

作　　者：邹贵平[1] 

机构地区：[1]同济大学

出　　处：《应用力学学报》1999年第1期149-153,共5页Chinese Journal of Applied Mechanics

摘　　要：基于ＹＮＳ层合板理论，通过对混合能变分原理的修正，建立了层合板问题的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精确解。Based on the YNS composite plate theory, and by modifying the mixed variational principle, the Hamilton canonical equation for the composite plates is established. The analytical solution for the angle ply laminated plates is derived by the adjoint orthonormalized symplectic method, and is also compared with the Kirchhoff plate theory.

关 键 词：正则方程 辛几何 剪切效应 层合板 H体系 

分 类 号：O343.7[理学—固体力学]