| 考虑剪切效应层合板的Hamilton体系及辛几何方法 |
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| 引用本文： | 邹贵平.考虑剪切效应层合板的Hamilton体系及辛几何方法[J].应用力学学报,1999,16(1):149-153. |
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| 作者姓名： | 邹贵平 |
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| 作者单位： | 同济大学 |
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| 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。并与经典层板理论进行了比较。
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| 关 键 词： | 正则方程 辛几何 剪切效应 层合板 H体系 |
Hamilton System and Symplectic Geometry Algorithms for the Shear Deformable Angle ply Laminated Plates |
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| Zou Guiping.Hamilton System and Symplectic Geometry Algorithms for the Shear Deformable Angle ply Laminated Plates[J].Chinese Journal of Applied Mechanics,1999,16(1):149-153. |
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| Authors: | Zou Guiping |
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| Institution: | Tongji University 200092 |
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| Abstract: | 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. |
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| Keywords: | Hamilton canonical equation symplectic geometry shear deformation |
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