# [1]顾书龙,计国君,张宏彬,等.受约束Vacco系统的几个Noether定理[J].东南大学学报(自然科学版),2004,34(3):418-422.[doi:10.3969/j.issn.1001-0505.2004.03.032] 　Gu Shulong,Ji Guojun,Zhang Hongbin,et al.Several Noether’s theorem of Vacco systems with constraints[J].Journal of Southeast University (Natural Science Edition),2004,34(3):418-422.[doi:10.3969/j.issn.1001-0505.2004.03.032] 点击复制 受约束Vacco系统的几个Noether定理() 分享到： var jiathis_config = { data_track_clickback: true };

34

2004年第3期

418-422

2004-05-20

## 文章信息/Info

Title:
Several Noether’s theorem of Vacco systems with constraints

1 巢湖学院物理系, 巢湖 238000; 2 厦门大学管理学院, 厦门 361005; 3 上海大学应用数学和力学研究所, 上海 200072
Author(s):
1 Department of Physics, Chaohu College, Chaohu 238000, China
2 Management School, Xiamen University, Xiamen 361005, China
3 Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, Chi

Keywords:

O316
DOI:
10.3969/j.issn.1001-0505.2004.03.032

Abstract:
The Neother symmetry for Vacco systems with constraints is studied. Noether’s theorem and its inverse theorem of Vacco systems with unilateral constraints are given, which are based upon the invariant properties by introducing the generalized quasi-symmetry of the infinitesimal transformation for the transformation group Gr of r-parameter. And Noether’s theorem dealing with the Vacco system of bilateral constraints is its corollary. An example to illustrate the application of the result is given.

## 参考文献/References:

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## 相似文献/References:

[1]戴德成.分析力学中的非线性非完整约束[J].东南大学学报(自然科学版),1981,11(3):85.[doi:10.3969/j.issn.1001-0505.1981.03.011]
Dai De-cheng.Nonlinear Nonholonomic Constraints in Analytical Mechanics[J].Journal of Southeast University (Natural Science Edition),1981,11(3):85.[doi:10.3969/j.issn.1001-0505.1981.03.011]