The Conservation Law of Nonholonomic System of Second-Order Non-Chetave’s Type in Event Space
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摘要: 研究事件空间中二阶非Четаев型非完整系统的守恒律。提出事件空间中的Jourdain原理,引入事件空间中的Jourdain生成元,给出无限小变换下Jourdain原理的不变性条件。在一定条件下得到事件空间中系统的守恒律。并举例说明结果的应用。
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关键词:
- 事件空间 /
- Jourdain原理 /
- 非完整系统 /
- 守恒律
Abstract: The conservation law of nonholonomic system of second-order non-Chataev's type in event space is studied.The Jourdain's principle in event space is presented.The invariant condition of the Jourdain's principle under infinitesimal transformation is given by introducing Jourdain's generators in event space.Then the conservation law of the system in event space is obtained under certain conditions.Finally a calculating example is given.-
Key words:
- event space /
- Jourdain’s principle /
- nonholonomic system /
- conservation law
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