- 必威体育下载

姓名
邮箱
手机号码
标题
留言内容
验证码

Abstract
Based on the total time derivative along the trajectory of the system, the definition and the criterion of are presented. A new conserved quantity, as well as the Noether conserved quantity are deduced from the Noether-form invariance. An example is given to illustrate the application of the result.

Keywords:
nonholonomic mechanical system of non-Chetaev’s type/

controllable mechanical system/

Noether-form invariance/

conserved quantity
Authors and contacts
Xia Li-Li,

Li Yuan-Cheng,

Wang Jing,

Hou Qi-Bao

1.
References

Cited By

[1]	Wang Ting-Zhi, Sun Xian-Ting, Han Yue-Lin.Conformal invariance and conserved quantity of relative motion holonomic dynamical system in phase space. Acta Physica Sinica, 2014, 63(10): 104502.doi:10.7498/aps.63.104502
[2]	Xu Chao, Li Yuan-Cheng.Lie-Mei symmetry and conserved quantities of Nielsen equations for a singular nonholonomic system of Chetaev'type. Acta Physica Sinica, 2013, 62(12): 120201.doi:10.7498/aps.62.120201
[3]	Wang Ting-Zhi, Sun Xian-Ting, Han Yue-Lin.Conformal invariance and conserved quantity for a variable mass holonomic system in relative motion. Acta Physica Sinica, 2013, 62(23): 231101.doi:10.7498/aps.62.231101
[4]	Zhang Bin, Fang Jian-Hui, Zhang Ke-Jun.Symmetry and conserved quantity of Lagrangians for nonholonomic variable mass system. Acta Physica Sinica, 2012, 61(2): 021101.doi:10.7498/aps.61.021101
[5]	Zheng Shi-Wang, Wang Jian-Bo, Chen Xiang-Wei, Li Yan-Min, Xie Jia-Fang.Lie symmetry and their conserved quantities of Tznoff equations for the vairable mass nonholonomic systems. Acta Physica Sinica, 2012, 61(11): 111101.doi:10.7498/aps.61.111101
[6]	Dong Wen-Shan, Huang Bao-Xin.Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems. Acta Physica Sinica, 2010, 59(1): 1-6.doi:10.7498/aps.59.1
[7]	Zhang Yi.Birkhoff symmetries and conserved quantities of generalized Birkhoffian systems. Acta Physica Sinica, 2009, 58(11): 7436-7439.doi:10.7498/aps.58.7436
[8]	Jia Li-Qun, Cui Jin-Chao, Zhang Yao-Yu, Luo Shao-Kai.Lie symmetry and conserved quantity of Appell equation for a Chetaev’s type constrained mechanical system. Acta Physica Sinica, 2009, 58(1): 16-21.doi:10.7498/aps.58.16
[9]	Zhang Yi, Ge Wei-Kuan.Lagrange symmetries and conserved quantities for nonholonomic systems of non-Chetaev’s type. Acta Physica Sinica, 2009, 58(11): 7447-7451.doi:10.7498/aps.58.7447
[10]	Cai Jian-Le.Conformal invariance and conserved quantities of Mei symmetry for general holonomic systems. Acta Physica Sinica, 2009, 58(1): 22-27.doi:10.7498/aps.58.22
[11]	Chen Xiang-Wei, Zhao Yong-Hong, Liu Chang.Conformal invariance and conserved quantity for holonomic mechanical systems with variable mass. Acta Physica Sinica, 2009, 58(8): 5150-5154.doi:10.7498/aps.58.5150
[12]	Xia Li-Li, Li Yuan-Cheng, Wang Xian-Jun.Non-Noether conserved quantities for nonholonomic controllable mechanical systems with relativistic rotational variable mass. Acta Physica Sinica, 2009, 58(1): 28-33.doi:10.7498/aps.58.28
[13]	Cai Jian-Le, Mei Feng-Xiang.Conformal invariance and conserved quantity of Lagrange systems under Lie point transformation. Acta Physica Sinica, 2008, 57(9): 5369-5373.doi:10.7498/aps.57.5369
[14]	Zheng Shi-Wang, Jia Li-Qun.Mei symmetry and conserved quantity of Tzénoff equations for nonholonomic systems. Acta Physica Sinica, 2007, 56(2): 661-665.doi:10.7498/aps.56.661
[15]	Zhang Yi.Symmetries and Mei conserved quantities for systems of generalized classical mechanics. Acta Physica Sinica, 2005, 54(7): 2980-2984.doi:10.7498/aps.54.2980
[16]	Zheng Shi-Wang, Fu Jing-Li, Li Xian-Hui.Momentum-dependent symmetries and non-Noether conserved quantities for mechanico-electrical systems. Acta Physica Sinica, 2005, 54(12): 5511-5516.doi:10.7498/aps.54.5511
[17]	Ge Wei-Kuan.Effects of mass variation on form invariance and conserved quantity of mechanical systems. Acta Physica Sinica, 2005, 54(6): 2478-2481.doi:10.7498/aps.54.2478
[18]	Zhang Yi, Fan Cun-Xin, Ge Wei-Kuan.A new type of conserved quantities for Birkhoffian systems*. Acta Physica Sinica, 2004, 53(11): 3644-3647.doi:10.7498/aps.53.3644
[19]	Zhang Yi, Mei Feng-Xiang.Effects of constraints on Noether symmetries and conserved quantities in a Birkhoffian system. Acta Physica Sinica, 2004, 53(8): 2419-2423.doi:10.7498/aps.53.2419
[20]	MEI FENG-XIANG.LIE SYMMETRIES AND CONSERVED QUANTITIES OF NONHOLONOMIC SYSTEMS WITH SERVOCONSTR AINTS. Acta Physica Sinica, 2000, 49(7): 1207-1210.doi:10.7498/aps.49.1207

Catalog

Vol. 55, Issue 10 - 2006-05-20

Metrics

Abstract views:7438
PDF Downloads:1186
Cited By:0

Search

Article

留言板

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About