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Abstract
The unified symmetry of mechanico-electrical systems with nonholonomic constraints of non-Chetaev’s type are studied, and the definition and the criterion of unified symmetry of mechanico-electrical systems are deduced from the Lagrange-Maxwell equations. The Noether conserved quantity, the Hojman conserved quantity and a new conserved quantity deduced from the unified symmetry are obtained. An example is given to illustrate the application of the results.

Keywords:
mechanical systems with non-Chetaev's constraints/

mechanico-electrical systems/

unified symmetry/

conserved quantity
Authors and contacts
Li Yuan-Cheng²,

Xia Li-Li¹,

Wang Xiao-Ming²
References

Cited By

[1]	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
[2]	Liu Xiao-Wei, Li Yuan-Cheng.Another kind of conserved quantity induced by Mei symmetry of mechanico-electrical system. Acta Physica Sinica, 2011, 60(11): 111102.doi:10.7498/aps.60.111102
[3]	Li Yuan-Cheng, Xia Li-Li, Wang Xiao-Ming, Liu Xiao-Wei.Lie-Mei symmetry and conserved quantities of Appell equation for a holonomic mechanical system. Acta Physica Sinica, 2010, 59(6): 3639-3642.doi:10.7498/aps.59.3639
[4]	Li Yuan-Cheng, Wang Xiao-Ming, Xia Li-Li.Unified symmetry and conserved quantities of Nielsen equation for a holonomic mechanical system. Acta Physica Sinica, 2010, 59(5): 2935-2938.doi:10.7498/aps.59.2935
[5]	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
[6]	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
[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]	Ge Wei-Kuan.Mei symmetry and conserved quantity of a holonomic system. Acta Physica Sinica, 2008, 57(11): 6714-6717.doi:10.7498/aps.57.6714
[9]	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
[10]	Li Yuan-Cheng, Xia Li-Li, Zhao Wei, Hou Qi-Bao, Wang Jing, Jing Hong-Xing.Unified symmetry of mechanico-electrical systems. Acta Physica Sinica, 2007, 56(9): 5037-5040.doi:10.7498/aps.56.5037
[11]	Ding Ning, Fang Jian-Hui, Zhang Peng-Yu, Wang Peng.Unified symmetry of Poincaré-Chetaev equations. Acta Physica Sinica, 2006, 55(12): 6197-6202.doi:10.7498/aps.55.6197
[12]	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
[13]	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
[14]	Xu Xue-Jun, Mei Feng-Xiang.Unified symmetry of the holonomic system in terms of quasi-coordinates. Acta Physica Sinica, 2005, 54(12): 5521-5524.doi:10.7498/aps.54.5521
[15]	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
[16]	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
[17]	Mei Feng-Xiang.Lie symmetry and the conserved quantity of a generalized Hamiltonian system. Acta Physica Sinica, 2003, 52(5): 1048-1050.doi:10.7498/aps.52.1048
[18]	Zhang Yi.. Acta Physica Sinica, 2002, 51(3): 461-464.doi:10.7498/aps.51.461
[19]	Li Yuan-Cheng, Zhang Yi, Liang Jing-Hui.. Acta Physica Sinica, 2002, 51(10): 2186-2190.doi:10.7498/aps.51.2186
[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

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Vol. 58, Issue 10 - 2009-05-20

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