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Abstract
In this paper,the Mei symmetry of variable mass systems with unilatera l holonomic constraints is studied. The definition and criterion of the Mei symm etry of variable mass systems with unilateral holonomic constraints are given. T he structure equation and conserved quantity of the Mei symmetry are obtained. A n example is given to illustrate the application of the result.

Keywords:
variable mass/

unilateral holonomic co nstraints/

Mei symmetry/

conserved quantity
Authors and contacts
Li Hong,

Fang Jian-Hui

1.
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Cited By

[1]	Huang Wei-Li.Inverse problem of Mei symmetry for a general holonomic system. Acta Physica Sinica, 2015, 64(17): 170202.doi:10.7498/aps.64.170202
[2]	Zhang Fang, Li Wei, Zhang Yao-Yu, Xue Xi-Chang, Jia Li-Qun.Conformal invariance and conserved quantity of Mei symmetry for Appell equations in nonholonomic systems of Chetaev’s type with variable mass. Acta Physica Sinica, 2014, 63(16): 164501.doi:10.7498/aps.63.164501
[3]	Wang Fei-Fei, Fang Jian-Hui, Wang Ying-Li, Xu Rui-Li.Noether symmetry and Mei symmetry of a discrete holonomic mechanical system with variable mass. Acta Physica Sinica, 2014, 63(17): 170202.doi:10.7498/aps.63.170202
[4]	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
[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]	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
[7]	Yang Xin-Fang, Sun Xian-Ting, Wang Xiao-Xiao, Zhang Mei-Ling, Jia Li-Qun.Mei symmetry and Mei conserved quantity of Appell equations for nonholonomic systems of Chetaevs type with variable mass. Acta Physica Sinica, 2011, 60(11): 111101.doi:10.7498/aps.60.111101
[8]	Liu Yang-Kui.A kind of conserved quantity of Mei symmetry for general holonomic mechanical systems. Acta Physica Sinica, 2010, 59(1): 7-10.doi:10.7498/aps.59.7
[9]	Zheng Shi-Wang, Xie Jia-Fang, Chen Xiang-Wei, Du Xue-Lian.Another kind of conserved quantity induced directly from Mei symmetry of Tzénoff equations for holonomic systems. Acta Physica Sinica, 2010, 59(8): 5209-5212.doi:10.7498/aps.59.5209
[10]	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
[11]	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
[12]	Jia Li-Qun, Luo Shao-Kai, Zhang Yao-Yu.Mei symmetry and Mei conserved quantity of Nielsen equation for a nonholonomic system. Acta Physica Sinica, 2008, 57(4): 2006-2010.doi:10.7498/aps.57.2006
[13]	Xia Li-Li, Li Yuan-Cheng.Non-Noether conserved quantity for relativistic nonholonomic controllable mechanical system with variable mass. Acta Physica Sinica, 2008, 57(8): 4652-4656.doi:10.7498/aps.57.4652
[14]	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
[15]	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
[16]	Jing Hong-Xing, Li Yuan-Cheng, Xia Li-Li.Perturbation of Lie symmetries and a type of generalized Hojman adiabatic invariants for variable mass systems with unilateral holonomic constraints. Acta Physica Sinica, 2007, 56(6): 3043-3049.doi:10.7498/aps.56.3043
[17]	Zhang Peng-Yu, Fang Jian-Hui.Lie symmetry and non-Noether conserved quantities of variable mass Birkhoffian system. Acta Physica Sinica, 2006, 55(8): 3813-3816.doi:10.7498/aps.55.3813
[18]	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
[19]	FANG JIAN-HUI.CONSERVATION LAWS OF RELATIVISTIC VARIABLE MASS SYSTEMS. Acta Physica Sinica, 2001, 50(6): 1001-1005.doi:10.7498/aps.50.1001
[20]	FANG JIAN-HUI, ZHAO SONG-QING.LIE SYMMETRIES AND CONSERED QUANTITIES OF RELATIVISTIC ROTATIONAL VARIABLE MASS SYSTEM. Acta Physica Sinica, 2001, 50(3): 390-393.doi:10.7498/aps.50.390

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Vol. 53, Issue 9 - 2004-05-05

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