事件空间中单面非Chetaev型非完整系统的Noether定理

基金项目: 高校博士学科点专项基金资助课题

Noether’s Theorem for Nonholonomic Systems of Non-Chetaev’s Type With Unilateral Constraints in Event Space

1.
Department of Applied Physics, University of Petroleum, Dongying, Shandong 257062, P. R. China;
2.
Suzhou Institute of Urban Construction and Environmental Protection, Suzhou 215011, P. R. China;
3.
Department of Physics, Shanxi Normal Univer sity, Linfen, Shanxi 041004, P. R. China

摘要: 研究事件空间中单面非Chetaev型非完整系统的Noether定理.首先给出了系统的D'Alembert-Lagrange原理;其次基于该原理在群的无限小变换下的不变性,研究了非Chetaev型非完整系统的Noether定理及逆定理;最后举例说明结果的应用
- 分析力学 /
- 事件空间 /
- 单面约束 /
- 非完整系统 /
- Noether定理 /
- Noether逆定理
Abstract: To study the Noether's theorem of nonholonomic systems of non-Chetaev's type with unilateral constraints in event space, firstly, the principle of D' Alembert-Lagrange for the systems with unilateral constraints in event space is presented, secondly, the Noether's theorem and the Noether's inverse theorem for the nonholonomic systems of non-Chetaev' s type with unilateral constraints in event space are studied and obtained, which is based upon the invariance of the differential variational principle under the infinitesimal transformations of group, finally, an example is given to illustrate the application of the result.
- analytical mechanics /
- event space /
- unilateral constraint /
- nonholonomic system /
- Noether’s theorem /
- Noeter’s inverse theorem

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