Unified Symmetry of Nonholonomic Mechanical Systems of Non-Chetaev's Type with Unilateral Constraints

被引：0

作者：

XIA Li-Li

机构：

来源：

Communications in Theoretical Physics | 2006年 / 12期

关键词：

unilateral constraints; nonholonomic mechanical system of non-Chetaev’s type; unified symmetry; conserved quantity;

D O I：

暂无

中图分类号：

O316 [分析力学（解析力学）];

学科分类号：

080101 ;

摘要：

The definition and the criterion for a unified symmetry of nonholonomic mechanical systems of non-Chetaev’s type with unilateral constraints are presented based on the total time derivative along the trajectory of the system. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, is obtained. An example is given to illustrate the application of the results.

引用

页码：1081 / 1084

页数：4

共 50 条

[21] Mei symmetry and Mei conserved quantity of Nielsen equations for nonholonomic systems of unilateral non-Chetaev's type in the event space
Jia Li-Qun
Zhang Yao-Yu
Luo Shao-Kai
Cui Jin-Chao
[J]. ACTA PHYSICA SINICA, 2009, 58 (04) : 2141 - 2146
[22] Perturbation to symmetries and Hojman adiabatic invariant for nonholonomic controllable mechanical systems with non-Chetaev type constraints
Xia Li-Li
Li Yuan-Cheng
[J]. CHINESE PHYSICS, 2007, 16 (06): : 1516 - 1520
[23] Conformal invariance for the nonholonomic constrained mechanical system of non-Chetaev’s type
Jian-Le Cai
Sheng-Shui Shi
Hua-Ji Fang
Jie Xu
[J]. Meccanica, 2012, 47 : 63 - 69
[24] Hojman conserved quantity for nonholonomic systems of unilateral non-Chetaev type in the event space
Jia, Li-Qun
Zhang, Yao-Yu
Luo, Shao-Kai
[J]. CHINESE PHYSICS, 2007, 16 (11): : 3168 - 3175
[25] Conformal invariance for the nonholonomic constrained mechanical system of non-Chetaev's type
Cai, Jian-Le
Shi, Sheng-Shui
Fang, Hua-Ji
Xu, Jie
[J]. MECCANICA, 2012, 47 (01) : 63 - 69
[26] A Field Integration Method for a Nonholonomic Mechanical System of Non-Chetaev's Type
Xia Li-Li
[J]. CHINESE PHYSICS LETTERS, 2011, 28 (04)
[27] Mei symmetry and Mei conserved quantity of nonholonomic systems of non-Chetaev's type in event space
Jia Li-Qun
Zheng Shi-Wang
Zhang Yao-Yu
[J]. ACTA PHYSICA SINICA, 2007, 56 (10) : 5575 - 5579
[28] Lagrange symmetries and conserved quantities for nonholonomic systems of non-Chetaev's type
Zhang Yi
Ge Wei-Kuan
[J]. ACTA PHYSICA SINICA, 2009, 58 (11) : 7447 - 7451
[29] Mei Symmetry and Conserved Ouantity of Tzénoff Equations for Nonholonomic Systems of Non-Chetaev's Type
ZHENG Shi-Wang~1 XIE Jia-Fang~2 LI Yan-Min~11 Department of Physics and Information Engineering
[J]. Communications in Theoretical Physics, 2008, (04) : 851 - 854
[30] Noether's theorem for nonholonomc systems of non-chetaev's type with unilateral constraints in event space
Yuancheng L.
Yi Z.
Jinghui L.
[J]. Applied Mathematics and Mechanics, 2000, 21 (5) : 543 - 548

← 1 2 3 4 5 →