非线性非完整约束空间准坐标表示的系统的基本动力学方程  

The Fundamental Equations of Dynamics Using Representation of Quasi-Coordinates in the Space of Non-Linear Non-Holonomic Constraints

作　　者：邱荣 

出　　处：《应用数学和力学》1997年第11期1033-1040,共8页Applied Mathematics and Mechanics

摘　　要：用与准坐标表示的一阶非线性非完整约束超曲面的基矢量共线的量和米歇尔斯基方程点来作为一阶非线性非完整约束变质量系统的基本动力学方程．由此可导出用准坐标表示的各种形式的运动微分方程．和约登（Jourdain）原理相容．举了例子．The dot product of the bases vectors on the super-surface of the non-linear nonholonomic constraints with one order, expressed by quasi-cood mates, and Mishirskii equations are regarded as the fundamental equations of dynamics with non-linear and nonholonomic constraints in one order for the system of the varitable mass. From these the variant differential-equations of dynamics expressed by quasi-coordinates are derived. The fundamental equations of dynamics are compatible with the principle of Jourdain. A case is cited.

关 键 词：非寒带约束 动力学方程 非线性约束 变质量系统 

分 类 号：O316[理学—一般力学与力学基础]