广义能量积分作为非完整约束问题研究

Study of integration of generalized energy as nonholonomic constraint

把完整系统或非完整系统的广义能量积分作为非完整约束,给出新系统的运动微分方程,证明了新系统的运动方程与原系统的运动方程是等价的。这种做法可以减少方程的数目,使问题得到简化,最后给出一个说明性算例。

Integration of generalized energy of holonomic system or nonholonomic system regarded as nonholo-nomic constraints is studied. Equations of new systems are given. It is proved that equations of new systems are equal to those of original systems. Numbers of equations can be reduced by using this method. Finally an example is presented to illustrate these results.