Mindlin板动力学问题的Hamilton体系及其辛解法  

THE HAMILTON SYSTEM AND ANALYTICAL SYMPLECTIC SOLUTION FOR THE FREE VIBRATION ANALYSIS OF MINDLIN PLATES

作　　者：邹贵平[1] 

机构地区：[1]同济大学工程力学系,上海200092

出　　处：《上海力学》1997年第3期260-265,共6页Chinese Quarterly Mechanics

摘　　要：本文通过对混合能变分原理的修正,建立了Mindlin板动力学问题的Hamilton正则方程,并采用共轭辛正交归一关系给出固有频率分析的精确解。Based on the Mindlin plate theory,and by modifying the mixed variational principle, the Hamilton canonical equation for the free vibration analysis of Mindlin plate is derived and the analytical solution is also deduced by the adjoint ortho-organization symplectic geometry method.

关 键 词：哈密顿体系 正则方程 辛几何 动力学 板弯曲 

分 类 号：O343.2[理学—固体力学] O316[理学—力学]