Symmetry of Lagrangians of holonomic systems in terms of quasi-coordinates

被引：0

作者：

Wu Hui-Bin ^{[1
]}

Mei Feng-Xiang ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Sci, Beijing 100081, Peoples R China

来源：

CHINESE PHYSICS B | 2009年 / 18卷 / 08期

基金：

中国国家自然科学基金;

关键词：

quasi-coordinate; holonomic system; symmetry of Lagrangians; conserved quantity; NONHOLONOMIC MECHANICAL SYSTEMS; NOETHER CONSERVED QUANTITY; FORM INVARIANCE; LIE SYMMETRY; EQUATIONS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper discusses the symmetry of Lagrangians of holonomic systems in terms of quasi-coordinates. Firstly, the definition and the criterion of the symmetry are given. Secondly, the condition under which there exists a conserved quantity and the form of the conserved quantity are obtained. Finally, an example is shown to illustrate the application of the results.

引用

页码：3145 / 3149

页数：5

共 50 条

[21] Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type
Wu Hui-Bin
Mei Feng-Xiang
CHINESE PHYSICS B, 2010, 19 (03)
[22] Mei Symmetry and Invariants of Quasi-Fractional Dynamical Systems with Non-Standard Lagrangians
Zhang, Yi
Wang, Xue-Ping
SYMMETRY-BASEL, 2019, 11 (08):
[23] Symmetry of Lagrangians of nonholonomic systems
Mei, Feng-Xiang
Wu, Hui-Bin
PHYSICS LETTERS A, 2008, 372 (13) : 2141 - 2147
[24] Conformal invariance and conserved quantities of Mei symmetry for general holonomic systems
Cai Jian-Le
ACTA PHYSICA SINICA, 2009, 58 (01) : 22 - 27
[25] A kind of conserved quantity of Mei symmetry for general holonomic mechanical systems
Liu Yang-Kui
ACTA PHYSICA SINICA, 2010, 59 (01) : 7 - 10
[26] Multibody Dynamics Modeling of Powered Parafoil System Using Equations with Quasi-coordinates
Zhang Q.
Gao F.
Guo R.
Feng Z.
Ge J.
Binggong Xuebao/Acta Armamentarii, 2019, 40 (09): : 1935 - 1942
[27] Unified symmetry of holonomic mechanical systems
Xu, XJ
Qin, MC
Mei, FX
CHINESE PHYSICS, 2005, 14 (07): : 1287 - 1289
[28] Conformal invariance and Noether symmetry, Lie symmetry of holonomic mechanical systems in event space
Zhang Yi
CHINESE PHYSICS B, 2009, 18 (11) : 4636 - 4642
[29] Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type
吴惠彬
梅凤翔
Chinese Physics B, 2010, 19 (03) : 31 - 34
[30] Form invariance and Lie symmetry of equations of non-holonomic systems
Wang, SY
Mei, FX
CHINESE PHYSICS, 2002, 11 (01): : 5 - 8

← 1 2 3 4 5 →