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Two New Types of Conserved Quantities of Mei Symmetry for holonomic mechanical system

Communications in Theoretical Physics 2008年第1期49卷 53-56页

作者： FANG Jian-Hui WANG Peng DING Ning College of Physics Science and Technology China University of Petroleum Dongying 257061 China

Two new types of conserved quantities directly deduced by Mei symmetry of holonomic mechanical system are studied. The definition and criterion of Mei symmetry for holonomic system are given. A coordination function is introduced, the conditions under which the Mei symmetry can directly lead to the two types of conserved quantities and the forms of the two types of conserved quantities are obtained. An illustrative example is given. The result indicates that the coordination function can be selected properly according to the demand of the gauge function, thereby the gauge function can be found out more easily. Furthermore, since the choice of the coordination function has multiformity, much T more conserved quantity of Mei symmetry for holonomic mechanical system can be obtained.

关键词： holonomic mechanical system Mei symmetry new conserved quantity

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Two kinds of generalized gradient representations for holonomic mechanical systems

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Chinese Physics B 2016年第1期25卷 653-656页

作者：梅凤翔吴惠彬 School of Aerospace Engineering Beijing Institute of Technology School of Mathematics Beijing Institute of Technology

Two kinds of generalized gradient systems are proposed and the characteristics of the two systems are studied. The conditions under which a holonomic mechanical system can be considered as one of the two generalized gradient systems are obtained. The characteristics of the generalized gradient systems can be used to study the stability of the holonomic system. Some examples are given to illustrate the application of the results.

关键词： holonomic mechanical system generalized gradient system Lyapunov function stability

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Unified symmetry of holonomic mechanical systems

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Chinese Physics B 2005年第7期14卷 1287-1289页

作者：许学军秦茂昌梅凤翔 DepartmentofMechanics BeijingInstituteofTechnologyBeijing100081China//DepartmentofPhysicsZhejiangNormalUniversityJinhua321004China DepartmentofMechanics BeijingInstituteofTechnologyBeijing100081China

The definition and the criterion of a unified symmetry for a holonomic mechanical system 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.

关键词： holonomic mechanical system unified symmetry conserved quantity

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JACOBI'S MULTIPLIER FOR POINCAR'S EQUATIONS

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Acta Mechanica Sinica 1994年第1期10卷 70-72页

作者： Q.K.Ghori Department of Mathematical Sciences King Fahd University of Petroleum and Minerals Dhahran Saudi Arabia

In this paper we use Poincaré’s equations in group variables to de- scribe the motion of a holonomic mechanical system and to determine Jacobi's mul- tiplier for the equations of motion.

关键词： Poincaré's theory Jacobi's multiplier holonomic mechanical system

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