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A new type of conserved quantity of Mei symmetry for relativistic nonholonomic mechanical system in phase space

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Chinese Physics B 2008年第2期17卷 394-398页

作者：张小妮方建会庞婷蔺鹏 College of Physics Science and Technology China University of Petroleum

In this paper, a new type of conserved quantity induced directly from the Mei symmetry for a relativistic nonholonomic mechanical system in phase space is studied. The definition and the criterion of the Mei symmetry for the system are given. The conditions for the existence and form of the new conserved quantity are obtained. Finally, an example is given to illustrate the application of the result.

关键词： relativity phase space Mei symmetry new type of conserved quantity

New conserved quantities of Noether-Mei symmetry of mechanical system in phase space

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Chinese Physics B 2008年第6期17卷 1962-1966页

作者：方建会刘仰魁张小妮 College of Physics Science and Technology China University of Petroleum College of Physics and Electronic Engineering Longdong University

This paper studies two new types of conserved quantities deduced by Noether Mei symmetry of mechanical system in phase space. The definition and criterion of Noether Mei symmetry for the system are given. A coordination function is introduced, and the conditions under which the Noether- Mei symmetry leads 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 coordination function can be selected according to the demand for finding the gauge function, and the choice of the coordination function has multiformity, so more conserved quantities deduced from Noether Mei symmetry of mechanical system can be obtained.

关键词： mechanical system phase space Noether-Mei symmetry new conserved quantity

A New Type of Conserved Quantity of Mei Symmetry for Holonomic Mechanical System

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Chinese Physics Letters 2009年第11期26卷 5-7页

作者：方建会张明江路凯 College of Physics Science and Technology China University of Petroleum Dongying 257061

A new type of conserved quantity which is directly induced by the Mei symmetry of the holonomic system is studied. Firstly, the definition and criterion of the Mei symmetry for a holonomic mechanical system is given. Secondly, the condition of existence of the new conserved quantity as well as its form is obtained. Lastly, an example is given to illustrate the application of the results.

关键词： Chinese climate network complex systems small world community

THE CONSERVATION LAW OF SECOND-ORDER NON-HOLONOMIC SYSTEM OF NON-CHETAEV'S TYPE

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Applied Mathematics and Mechanics(English Edition) 2000年第7期21卷 836-840页

作者：方建会 Department of Applied Physics University of Petroleum Doming P R China

The conservation law of second_order nonholonomic system of non_Chetaev's type was studied by means of the Jourdain's principle. The invariant condition of Jourdain's principle under infinitesimal transformation is given by introducing Jourdain's generators. Then the conservation law of the system is obtained under certain conditions. Finally a calculating example is given.

关键词： Jourdain's principle nonholonomic system conservation law

Conformal invariance and a kind of Hojman conserved quantity of the Nambu system

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Chinese Physics B 2011年第3期20卷 9-13页

作者：李燕方建会张克军 College of Physics Science and Technology China University of Petroleum

Conformal invariance and a kind of Hojman conserved quantity of the Nambu system under infinitesimal transformations are studied. The definition and the determining equation of conformal invariance of the system are presented. The necessary and sufficient condition under which the conformal invariance of the system would have Lie symmetry under infinitesimal transformations is derived. Then, the condition of existence and a kind of Hojman conserved quantity are obtained. Finally, an example is given to illustrate the application of the results.

关键词： conformal invariance Nambu system Hojman conserved quantity

Symmetry of the Lagrangians of holonomic nonconservative system in event space

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Chinese Physics B 2012年第7期21卷 61-65页

作者：张斌方建会张伟伟 College of Science China University of Petroleum(East China)

This paper analyzes the symmetry of Lagrangians and the conserved quantity for the holonomic non-conservative system in the event space. The criterion and the definition of the symmetry are proposed first, then a quantity caused by the symmetry and its existence condition are given. An example is shown to illustrate the application of the result at the end.

关键词： symmetry of Lagrangians event space holonomic nonconservative system conservedquantity

A generalized Mei conserved quantity and Mei symmetry of Birkhoff system

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Chinese Physics B 2009年第4期18卷 1312-1315页

作者：王鹏方建会王先明 School of Maths-Physics and Information Science Xinjiang Normal University College of Physics Science and Technology China University of Petroleum

This paper studies a new conserved quantity which can be called generalized Mei conserved quantity and directly deduced by Mei symmetry of Birkhoff system. The conditions under which the Mei symmetry can directly lead to generalized Mei conserved quantity and the form of generalized Mei conserved quantity are given. An example is given to illustrate the application of the results.

关键词： Birkhoff system Mei symmetry conserved quantity1

非线性非完整空间变质量系统相对论性基本动力学方程

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石油大学学报（自然科学版） 1999年第4期23卷 94-96页

作者：方建会李元成石油大学应用物理系

给出了非线性非完整空间变质量系统的相对论性基本动力学方程，证明了其与微分变分原理的一致性。在不附加虚位移Ａｐｐｅｌчетаев定义或牛青萍定义的情况下。

关键词：相对论非完整约束空间变质量系统动力学

非完整力学系统相对于非惯性系的Hamilton原理

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河西学院学报 1993年第1期11卷 78-83页

作者：方建会

非完整力学系统的许多运动微分方程已被推广到非惯性系。这种推广既具有理论意义,也具有实际价值。本文把力学系统的Hamilton原理推广到非惯性系,给出非完整力学系统相对于非惯性系的Holder形式和CycлoB形式的Hamilton原理,并举例说明... 详细信息

非完整力学系统的许多运动微分方程已被推广到非惯性系。这种推广既具有理论意义,也具有实际价值。本文把力学系统的Hamilton原理推广到非惯性系,给出非完整力学系统相对于非惯性系的Holder形式和CycлoB形式的Hamilton原理,并举例说明其应用。一、力学系统相对于非惯性系的一般形式的 Hamilton原理研究质量为mi（i=1,2,,…,n）的n个质点组成的力学系统相对于非惯性系ox′y′z′的运动,设非惯性系ox′y′z′与大质量刚体固连在一起,其相对于某惯性系的平动加速度a0。

关键词：非完整力学系统非惯性系 Hamilton原理运动微分方程非完整约束保守系统理想约束广义坐标 Holder 定轴转动