| 一阶非完整约束的理想约束力 |
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| 引用本文： | 王保玉,李祖海. 一阶非完整约束的理想约束力[J]. 大学物理, 2005, 24(10): 4-7 |
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| 作者姓名： | 王保玉 李祖海 |
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| 作者单位： | 商丘师范学院,物理与信息工程系,河南,商丘,476000;商丘师范学院,物理与信息工程系,河南,商丘,476000 |
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| 摘 要： | 通过一阶非完整约束对系统运动限制条件的分析，在C^q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．
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| 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 |
| 文章编号： | 1000-0712（2005）10-0004-04 |
| 收稿时间： | 2004-12-06 |
| 修稿时间： | 2004-12-06 |
The ideal constraint force of 1-order nonholonomic constraint |
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| WANG Bao-yu,LI Zu-hai. The ideal constraint force of 1-order nonholonomic constraint[J]. College Physics, 2005, 24(10): 4-7 |
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| Authors: | WANG Bao-yu LI Zu-hai |
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| Affiliation: | Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu, Henan 476000, China |
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| Abstract: | 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. |
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| Keywords: | 1-order nonholonomic constraint ideal constraint force the velocity space Lagrange's multiplier virtual work virtual displacement Chetaev condition virtual variation of generalized velocity |
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