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A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints

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Chinese Physics B 2012年第12期21卷 11-15页

作者：韩月林孙现亭王肖肖张美玲贾利群 School of Science Jiangnan University School of Electric and Information Engineering Pingdingshan University

A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints is investigated. Nielsen equations and differential equations of motion for the holonomic mechanical system with unilateral constraints are established. The definition and the criterion of Mei symmetry for Nielsen equations in the holonomic systems with unilateral constraints under the infinitesimal transformations of Lie group are also given. The expressions of the structural equation and a type of new conserved quantity of Mei symmetry for Nielsen equations in the holonomic system with unilateral constraints are obtained. An example is given to illustrate the application of the results.

关键词： holonomic system with unilateral constraints Nielsen equation structural equation newtype of conserved quantity

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Structural Equation and Mei Conserved Quantity of Mei Symmetry for Appell Equations in holonomic systems with unilateral constraints

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Communications in Theoretical Physics 2009年第10期52卷 572-576页

作者： JIA Li-Qun ZHANG Yao-Yu CUI Jin-Chao LUO Shao-Kai School of Science Jiangnan University Wuxi 214122 China Electric and Information Engineering College Pingdingshan University Pingdingshan 467002 China Institute of Mathematical Mechanics and Mathematical Physics Zhejiang Sci-Tech University Hangzhou 31001 China

Structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomic systems with unilateral constraints are investigated. Appell equations and differential equations of motion for holonomie mechanic systems with unilateral constraints axe established. The definition and the criterion of Mei symmetry for Appell equations in holonomic systems with unilateral constraints under the infinitesimal transformations of groups axe also given. The expressions of the structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomic systems with unilateral constraints expressed by Appell functions are obtained. An example is given to illustrate the application of the results.

关键词： holonomic system with unilateral constraints Appell equation structural equation of Mei symmetry Mei conserved quantity

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