By the universal D'Alembert 's principle in variable-mass mechanical system we obtain Mac-Millan type equations in quasi-coordinates for the variable-mass mechanical system with non-holonomic constraints and give all corollaries of our results . Finally an example is given to illustrate its application .

本文根据 变 质量力学 系统的万有D'Alembert原理得到了变质量高阶非完整力学 系统在准坐标下的 Mac-Millan型方程，然后导出本结果的几个推论并举例说明该方程的应用。