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《Journal of Jiangxi Normal University (Natural Sciences Edition)》 2004-01
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Hojman Conserved Quantity for Holonomic Mechanical Systems(Ⅲ)

MEI Feng-xiang (School of Science,Beijing Institute of Teohnology,Beijing 100081,China)  
Hojman conserved quantity constucted using a form invariance for the holonomic mechanical sytems is presented.At first,the form invariance of the systems umder special infinitesimal transformations is studied.Secondly,the relation between the form invariance and Lie symmetry is obtained.Finally,a generalization of Hojman theorem is given and two examples are given to illustrate the application of the result.
【Fund】: 国家自然科学基金资助项目(10272021).
【CateGory Index】: O19
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 MEI Feng-xiang(School of Science,Beijing Institute of Technology,Beijing 100081,China);Hojman Conserved Quantity for Holonomic Mechanical Systems(Ⅱ)[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2003-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 DING Guang-tao(College of Physics and Electrical Information,Anhui Normal University,Wuhu 241000,China);Effects of Equivalent Transformations of Lagrange Functions on Symmetries and Conserved Quantities of Mechanics Systems[J];Journal of Anhui Normal University(Natural Science);2009-01
2 Mei Fengxiang Wu Huibin Zhang Yongfa (College of Science and Technology, Beijing Institute of Technology, Beijing, 100081);RESEARCH ADVANCE IN DYNAMICS OF CONSTRAINED SYSTEMS[J];Acta Armamentarii;2000-S1
3 Ge Weikuan(Dept of Physics, Huzhou Teachers College, Huzhou, 313000)Mei Fengxiang(Dept of Applied Mechanics,Beijing Institute of Technology);NOETHER SYMMETRY OF DIFFERENTIAL EQUATION MODELS IN WARFARE[J];Acta Armamentarii;2001-02
4 Qiao Yongfen (Engineering College, Northeast Agricultural University, Harbin, 150001) Zhang Yaoliang Han Guangcai (Dept. of Civil Eng., Harbin Engineering University);INTEGRATING FACTORS AND CONSERVATION THEOREM FOR RAITZIN'S CANONICAL EQUATIONS OF MOTION OF NONHOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS[J];Acta Armamentarii;2003-02
5 ZHANG Jun, FANG Jian-hui, CHEN Pei-sheng(Department of Applied Physics, University of Petroleum, Dongying, Shandong 257061, China);Form Invariance of the Nielsen Equation of Variable Mass Mechanical System[J];Acta Armamentarii;2005-02
6 Li Ziping ( Department of Applied Physics );Canonical Symmetries in Functional Integral Expression for Field Theories[J];Journal of Beijing Polytechnic University;1993-04
7 Li Ziping ( Department of Applied Physics, Beijing Polytechnic University, 100022 );Canonical Symmetries and Conserved Quantities in the Quantization of Functional Integral[J];Journal of Beijing Polytechnic University;1997-03
8 Gao Haixiao Li Ziping ( Department of Applied Physics, Beijing Polytechnic University, 100022 );Noether Theorem and Poincare - Cartan Integral Invariant in Quantum Case for a Constrained Hamilton System[J];Journal of Beijing Polytechnic University;1997-04
9 Li Ziping(Department of Applied Physics, Beijing Polotechnic University, 100022);A Generalization of the Noether Theorem and Its Applications[J];JOURNAL OF BEIJING POLYTECHNIC UNIVERSITY;1994-04
10 Li Ziping(Department of Applied Physics, Beijing Polytechnic Univeroity, 100022);The Generating Functional of Green Function in Phase Space and Feynman's Rule[J];JOURNAL OF BEIJING POLYTECHNIC UNIVERSITY;1995-03
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Mei Fengxiang;GENERALIZED TZENOFF'S EQUATIONS OF NON-HOLONOMIC CONSERVATIVE SYSTEMS IN THE EVENT SPACE[J];Acta Armamentarii;1988-04
2 Li Yuancheng (Department of Applied Physics, University of Petroleum, Dongying, 257062);LIE SYMMETRIES AND CONSERVED QUANTITIES OF NON-HOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS RELATIVE TO A NON-INERTIAL REFERENCE FRAME[J];Acta Armamentarii;2001-01
3 Liang Jinghui (Department of Physics,Shanxi Normal University, Linfen, 041004);LIE SYMMETRIES AND CONSERVED QUANTITIES OF NONHOLONOMIC SYSTEMS HAVING VARIABLE MASS AND UNILATERAL CONSTRAINTS[J];Acta Armamentarii;2002-01
4 Luo Yong, Zhao Yueyu (Department of Applied Mechanics);GENERALIZED NOETHER'S THEOREM FOR SYSTEMS WITH NONLINEAR NONHOLONOMIC CONSTRAINTS[J];Journal of Beijing Institute of Technology;1986-03
5 Mei Fengxiang( Department of Applied Mechanics );REDUCTION OF THE GENERALIZED CHAPLYGIN S EQUATIONS OF NON-HOLONOMIC CONSERVATIVE SYSTEMS IN THE EVENT SPACE, BY MEANS OF THE CYCLIC INTEGRAL[J];Journal of Beijing Institute of Technology;1988-03
6 Mei Fengxiang (Department of Applied Mechanics);Motion of Variable Mass Holonomic Mechanical Systems with Unilateral Holonomic Constraints[J];Journal of Beijing Institute of Technology;1990-01
7 LI Yuan cheng, LIANG Jing hui, ZHANG Yi, MEI Feng xiang (Department of Applied Mechanics, Beijing Institute of Technology, Beijing100081);Conservation Laws for the System with Unilateral Holonomic Constraints in Event Space[J];JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY;2000-01
8 LI Yuan-cheng; LIANG Jing-hui; ZHANG Yi; MEI Feng-xiang (Department of Applied Mechanics. Beijing Institute of Technology, Beijing 100081);Lie Symmetries and Conserved Quantities of Nonholonomic Systems of Non-Chetaev's Type With Unilateral Constraints[J];JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY;2000-02
9 MEI Feng xiang (Dept. of Applied Mechanics, Beijing Institute of Technology, Beijing100081, China);On Noether Symmetry, Lie Symmetry and Form Invariance[J];Journal of Beijing Institute of Technology;2001-04
10 WANG Shu yong 1, GE Wei kuan 2, MEI Feng xiang 1 (1 Dept. of Applied Mechanics, Beijing Institute of Technology, Beijing100081, China; 2 Dept. of Physics, Huzhou Teachers College, Huzhou, Zhejiang 313000, China);Form Invariance of Motion Equations of Holonomic Mechanical Systems[J];Journal of Beijing Institute of Technology;2002-01
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 MEI Feng-xiang(School of Science, Beijing Institute of Technology,Beijing 100081,China);Form Invariance of Equations of Motion of Holonomic Systems in the Event Space[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2003-01
2 MEI Fengxiang (School of Science,Beijing Institute of Technology,Beijing 100081,China);Hojman Conserved Quantity for Holonmic Mechanical Systems(Ⅰ)[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2003-03
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