论非完整系统的Hamilton原理与完整系统的Hamilton原理的统一性

On the Unification of the Hamilton Principles in Non-Holonomic System and in Holonomic System

本文通过典型实例和理论分析证明了；在有势力作用下，对于非完整系统．Ｈａｍｉｌｔｏｎ原理同样有像完整系统那样使Ｌａｇｒａｎｇｅ函数取驻值的形式；使Ｌａｇｒａｎｇｅ函数变分对时间积分为零的形式是前者的演变形式：因此，两种形式是统一的．

In this paper, by means of typical engilleering examples alld deep theortical analysis,we prove that: under the effect of conservative force, the Hamilton principles in holonomic systems have the same formula δ∫Ldt=0. The formula ∫δLdt=0 is an evolved form of the formula δ∫Ldt=0. Therefore, the taro formulas are unified.