检索结果-南通市图书馆

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

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2010年第11期19卷 48-52页

作者：贾利群解银丽张耀宇杨新芳 School of Science Jiangnan University Electric and Information Engineering College Pingdingshan University

A type of new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints is investigated. The expressions of new structural equation and new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints expressed by Appell functions are obtained. An example is given to illustrate the application of the results.

关键词： unilateral constraint Appell equation Mei symmetry conserved quantity

NOETHER'S THEOREM FOR NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH unilateral constraintS IN EVENT SPACE

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2000年第5期21卷 543-548页

作者：李元成张毅梁景辉 Department of Applied Physics University of Petroleum Dongying P R China Suzhou Institute of Urban Construction and Environmental Protection Suzhou P R China Department of Physics Shanxi Normal University Linfen P R China

To study the Noether's theorem of nonholonomic systems of non_Chetaev's type with unilateral constraints in event space, firstly, the principle of D'Alembert_Lagrange for the systems with unilateral constraints in event space is presented, secondly, the Noether's theorem and the Noether's inverse theorem for the nonholonomic systems of non_Chetaev's type with unilateral constraints in event space are studied and obtained, which is based upon the invariance of the differential variational principle under the infinitesimal transformations of group, finally, an example is given to illustrate the application of the result.

关键词： analytical mechanics event space unilateral constraint nonholonomic system Noether's theorem Noeter's inverse theorem

Generalized Lutzky Conserved Quantities of Holonomic Systems with Remainder Coordinates Subjected to unilateral constraints

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2006年第4期45卷 732-736页

作者： ZHANG Yi Department of Civil Engineering University of Science and Technology of Suzhou Suzhou 215011 China

This paper focuses on studying the relation between a velocity-dependent symmetry and a generalized Lutzky conserved quantity for a holonomic system with remainder coordinates subjected to unilateral constraints. The differential equations of motion of the system are established, and the definition of Lie symmetry for the system is given. The conditions under which a Lie symmetry can directly lead up to a generalized Lutzky conserved quantity and the form of the new conserved quantity are obtained, and an example is given to illustrate the application of the results.

关键词： analytical mechanics remainder coordinate unilateral constraint holonomic system symmetry conserved quantity

Mei Symmetry and Lutzky Conserved Quantity for Nonholonomic Mechanical System with unilateral constraints

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2008年第3期49卷 575-578页

作者： JING Hong-Xing LI Yuan-Cheng College of Physics Science and Technology China University of Petroleum （East China） Dongying 257061 China

In this paper, we study the Mei symmetry which can result in a Lutzky conserved quantity for nonholonomic mechanical system with unilateral constraints. The definition and the criterion of the Mei symmetry for the system are given. The necessary and sufficient condition under which the Mei symmetry is a Lie symmetry for the system is obtained. A Lutzky conserved quantity deduced from the Mei symmetry is gotten. An example is given to illustrate the application of our results.

关键词： nonholonomic mechanical system unilateral constraint Mei symmetry Lutzky conserved quantity

NOETHER'S THEORY OF MECHANICAL SYSTEMS WITH unilateral constraintS

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2000年第1期21卷 61-68页

作者：张毅梅凤翔 Suzhou Institute of Urban Construction & Environmental Protection Suzhou P R China Department of Applied Mechanics Bejing Institute of Technology Beijing P R China

Noether's theory of dynamical systems with unilateral constraints by introducing the generalized quasi_symmetry of the infinitesimal transformation for the transformation group G r is presented and two examples t... 详细信息

关键词： analytical mechanics unilateral constraint conservation law symmetry Noether's theorem

Form Invariance and Conserved Quantity for Non-holonomic Systems with Variable Mass and unilateral constraints

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2007年第2期47卷 213-216页

作者： WANG Jing LI Yuan-Cheng HOU Qi-Bao XIA Li-Li College of Physical Science and Technology University of Petroleum China Dongying 257061 China

The paper studies the form invariance and a type of non-Noether conserved quantity called Mei conserved quantity for non-holonomic systems with variable mass and unilateral constraints. Acoording to the invariance of the form of differential equations of motion under infinitesimal transformations, this paper gives the definition and criterion of the form invariance for non-holonomic systems with variable mass and unilateral constraints. The condition under which a form invariance can lead to Mei conservation quantity and the form of the conservation quantity are deduced. An example is given to illustrate the application of the results.

关键词： variable mass unilateral constraint non-holonomic system form invaxiance conserved quantity

Symmetries and Two Types of Non-Noether Conservation Laws of Birkhoffian System with unilateral constraints

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2006年第2期45卷 239-244页

作者： ZHANG Yi Department of Civil Engineering University of Science and Technology of Suzhou Suzhou 215011 China

The symmetries and non-Noether conservation laws of Birkhoffian system with unilateral constraints are studied. The differential equations of motion of the system are established, and the criterions of Noether symmetry, Lie symmetry and Mei symmetry of the system are given. Two types of new conservation laws, called the Hojman conservation law and the Mei conservation law respectively, are obtained, and the intrinsic relations among the symmetries and the new conservation laws are researched. At the end of the paper, an example is given to illustrate the application of the results.

关键词： analytical mechanics unilateral constraint Birkhoffian system symmetry conservation law

A DIFFERENTIAL GEOMETRIC DESCRIPTION FOR TIME-INDEPENDENT CHETAEV'S NONHOLONOMIC MECHANICAL SYSTEM WITH unilateral constraintS

在线全文

学校读者我要写书评

暂无评论

Acta Mechanica Solida Sinica 2002年第1期15卷 62-67页

作者： Zhang Yi (Department of Urban Constrution,University of Science & Technology of Suzhou,Suzhou 215011,China)Mei Fengxiang (Department of Applied Mechanics,Beijing Institute of Technology,Beijing 100081,China) Department of Urban Construction University of Science and Technology of Suzhou Suzhou 215011 China Department of Applied Mechanics Beijing Institute of Technology Beijing 100081 China

By applying the framework of the tangent bundle geometry to the method of Lagrange multi- pliers,a geometric description of Chetaev's nonholonomic systems subjected to unilateral nonholonomic con- straints trod unilat... 详细信息

关键词： analytical mechanics unilateral constraint differential geometry nonholonomic constraint tangent bundle geometry

A geometric framework for time-dependent mechanical systems with unilateral constraints

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2006年第1期15卷 13-18页

作者：张毅梅凤翔 Department of Civil Engineering University of Science and Technology of Suzhou Suzhou 215011 China Department of Applied Mechanics Beijing Institute of Technology Beijing 100081 China

The description of modern differential geometry for time-dependent Chetaev nonholonomic mechanical systems with unilateral constraints is studied. By using the structure of exact contact manifold, the geometric framework of time- dependent nonholonomic mechanical systems subject to unilateral nonholonomic constraints and unilateral holonomic constraints respectively is presented.

关键词： analytical mechanics time-dependent unilateral constraint differential geometry