变质量非完整系统相对运动动力学方程的积分理论

INTEGRAL THEORY FOR THE RELATIVE MOTION DYNAMICS OF VARIABLE MASS NONHOLONOMIC MECHANICAL SYSTEMS

本文研究变质量非线性非完整系统相对于非惯性系动力学的积分理论，给出其Ｒｏｕｔｈ降阶法、Ｗｈｉｔｔａｋｅｒ降阶法、Ｐｏｉｎｃａｒｅ－Ｃａｒｔａｎ型积分变量关系和积分不变量．

In this paper,the Routh and Whittaker methods of reduction of order,and the integral variants and invariants of Poincare-Cartan form for the dynamics equations of nonlinear nonholonomic system of variable mass in noninertial reference frames are obtained.