球柱坐标系下弹性力学问题的Hamilton正则方程

Hamilton canonical equations of elasticity in ball or cylinesr coordinates

将Ｈａｍｉｌｔｏｎ体系理论应用到弹性力学问题中，导出了球柱坐标系下弹性力学问题的混合状态方程，并应用Ｈｅｌｌｉｎｇｅｒ—Ｒｅｉｓｓｕｅｒ广义变分原理证明了该方程是正则的，这样就把弹性力学问题和控制论联系起来，把欧氏空间问题引入到辛空间进行计算．

In this paper the Hamilton theory has been applied to the elasticity mechanics and the mixed state equation in ball or cylinder coordinates has been ponited out. It proves that the mixed state equation is canonical by using Hellinger-Reissuer variational principle.So the relation of elasticity mechanics and control theory bas been established and can be calculated by simplictic geometry method.