利用循环积分降阶事件空间中非完整保守系统的广义ЧАПЛЫГИН方程

REDUCTION OF THE GENERALIZED CHAPLYGIN S EQUATIONS OF NON-HOLONOMIC CONSERVATIVE SYSTEMS IN THE EVENT SPACE, BY MEANS OF THE CYCLIC INTEGRAL

摘要: 本文首先讨论事件空间中非完整保守系统存在循环积分的条件,其次利用循环积分将广义方程降阶,得到更广泛一类的Routh方程,最后举例说明新方法的应用。

Abstract: The condition for the existence of the cyclic integral of the non-holoao-mic conservative systems in the event space is discussed. Using the cyclic integral, the order of the generalized Chaplygin's equations is reduced, and the more generalized Routh's equations are obtained. An example is given.