【摘要】 非完整力学系统的Hamilton变分原理,有三种形式:ГеΛбзр,Воронец及Суспоъ。本文在引进3N维Euclid基本空间的二阶切空间及Riemann空间中,提出一、二阶非完整力学系统的积分变分原理的Riemann形式。推广势函数V。指出二阶非完整力学系统的作用量,才与完整力学系统的Hamilton作用量一样,具有稳定值。举了例题。更多还原

【Abstract】 There are three forms of Hamilton’s principle of non-holonomic dynamic system: Гелвбер, Боронен and Сусдов [1][2][3]. On the basis of applying second-order tangential space and Riemann space in 3N dimension Euclid space [4], the writers have derived the integral variati- onal principles in Riemann form for first-order and second-order non- holonomic dynamical systems. In the traditional case, the normal pote- ntial function V is generalized. Only after defining the action (function) of second-order non-holonomic system, is a conclusion reached that the action (function) for the actual motion is stationary, just like the case of holonomic system. An example is given for practical application.更多还原