摘要
通过一阶非完整约束对系统运动限制条件的分析,在Cq空间中给出一阶非完整理想约束力的表示形式.在速度空间中阐明一阶非完整约束力的几何意义.最后证明Appell-Четаев条件是实现一阶非线性非完整理想约束的充分必要条件.
Analyzed the restricted condition with 1-order nonholonomic constraint, the form of 1-order nonholonomic ideal constraint force in the space of C^q is given, and the geometric significance in the velocity space is clarified. It's proved that Appell-Chetaev condition is sufficient and necessary condition to realizing 1-order nonholonomic ideal constraint.
出处
《大学物理》
北大核心
2005年第10期4-7,共4页
College Physics
关键词
一阶非完整约束
理想约束力
速度空间
LAGRANGE乘子
虚功
虚位移
Четаев条件
可能速度虚变更
l-order nonholonomic constraint
ideal constraint force
the velocity space
Lagrange's multiplier
virtual work
virtual displacement
Chetaev condition
virtual variation of generalized velocity