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.
出处
《上海力学》
CSCD
1997年第3期260-265,共6页
Chinese Quarterly Mechanics
关键词
哈密顿体系
正则方程
辛几何
动力学
板弯曲
Hamilton canonical equation, symplectic geometry,Mindlin plate,free vibration analysis
