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《Journal of Anhui University(Natural Sciences)》 2006-02
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Higher order Hamilton's canonical equations of holonomic mechanical system

ZHANG Xiang-wu(Department of Physics,Longdong University,Qingyang 745000,China)  
By using higher order Lagrange equations of holonomic mechanical system,higher order Hamilton's canonical equations of holonomic mechanical system are obtained,by which the higher order cyclic integral and the higher order generalized energy integral of holonomic potential mechanical system are obtained,and the physical meaning of higher order Hamilton's function is explained.
【CateGory Index】: O316
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【Citations】
Chinese Journal Full-text Database 5 Hits
1 HUANG Pei-tian1,HUANG Wen2,HU Li-yun1(1.Department of Physics, Jiangxi Normal University, Nanchang 330027, China;2.Jiangxi Second Construction Engineering Corporation, Nanchang 330002,China);A Preliminary Probe into the Meaning on Theory and Practice of Varying Accelerated Motion[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2003-01
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4 Zhang Xiang-Wu(Department of Physics, Longdong University, Qingyang 745000,China);Higher order Lagrange equations of holonomic potential mechanical system[J];Acta Physica Sinica;2005-10
5 SHEN HuiChuan (Department of Astronomy and Applied Physics,University of Science and Technology of China, Hefei\ 230026);SOME REMARKS ABOUT 《CLASSICAL MECHANICS》 MENTIONED BY PROFESSOR WU TAYOU[J];Physics;2000-12
【Co-citations】
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1 WANG Jing-min(Suixi Wugou Middle School,Suixi 235131,Anhui);Reduction of Chapygin's Nonholonomic Mechanical System in Event Space[J];Journal of Anhui Institute of Education;2001-06
2 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
3 Tao Songtao(Department of Physics, Wuhu Teacher's College, 241008, Wuhu, Anhui, PRC);TRANSFORMATION OF WAVEFUNCTION AND MOMENTUM OPERATORS IN CURVILINEAR COORDINATES[J];Journal of Anhui Normal University(Natural Science);1996-03
4 Liang Jun\ \ Wang Jiasi (Department of Physics, Wuhu Teacher's College, 241008, Wuhu, Anhui, PRC);GIBBS APPELL'S EQUATIONS FOR RELATIVE MOTION AND ITS APPLICATIONS[J];Journal of Anhui Normal University(Natural Science);1997-04
5 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
6 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
7 LI Rui-jie LI Zi-Ping (College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China);On Quantal Poincaré-Cartan Integral Invariant[J];Journal of Beijing Polytechnic University;2001-02
8 LI Ai-min (College of Applied Science, Beijing University of Technology, Beijing 100022, China);The Canonical Sysmmetry Properties of Holonomic Constrained Generalized Mechanical System[J];Journal of Beijing Polytechnic University;2005-S1
9 MEI Feng xiang (Dept. of Applied Mechanics, Beijing Institute of Technology, Beijing100081, China);On Conservation Laws of Mechanical Systems[J];Journal of Beijing Institute of Technology;2002-02
10 XU Zhi xin (Dept. of Basic Courses, East China Shipbuilding Institute, Zhenjiang, Jiangsu212003, China);Form Invariance of Equations of Motion for Holonomic Systems in Terms of Quasi-Coordinates[J];Journal of Beijing Institute of Technology;2002-04
China Proceedings of conference Full-text Database 5 Hits
1 Zhang Yi (Department of Urban construction,The University of Science and Technology of Suzhou Suzhou 215011 China);Perturbation to Symmetries and Adiabatic Invariant of Holonomic Mechanical Systems with Unilateral Constraints[A];[C];2002
2 Luo Shaokai~(1,2) (1.Institute of Mathematical Mechanics and Mathematical Physics,Changsha University Changsha 410003 2.Institute of Mathematical Mechanics and Mathematical Physics,Shangqiu Teachers College Shangqiu 476000);Form Invariance and Conserved Quantities of Lie Symmetries of Rotational Relativistic System[A];[C];2002
3 Mei Feng-xiang Wu Hui-bin Shang Mei Zhang Yong-fa (Faculty of Science,Beijing Institute of Technology,Beijing 100081);Mechanization and Solution of Differential Equations[A];[C];2006
4 Jia Li-qun~1 Zheng Shi-wang~2 1.Science College of Southern Yangtze University,Wuxi,Jiangsu,214063,China; 2.Physical and Information Engineering Dept.of Shangqiu Normal College,Shangqiu,Henan,476000,China;Sufficient Condition of First Order Linear Homogeneous Diferential Constraint Integrable Lagrange Form[A];[C];2006
5 Zheng Shiwang Department of Physics and information engineering,Shangqiu Teachers College,Shangqiu,476000 Xie Jiafang Department of Mechanics,Beijing Institute of Technology,Beijing,100081 Jia Liqun College of Science,Southern Yangtze University,Wuxi,214122;Symmetries and Their Conserved Quantities of Tzénoff Equations for Holonomic Systems[A];[C];2008
【Secondary Citations】
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5 SHEN HuiChuan (Department of Astronomy and Applied Physics,University of Science and Technology of China, Hefei\ 230026);SOME REMARKS ABOUT 《CLASSICAL MECHANICS》 MENTIONED BY PROFESSOR WU TAYOU[J];Physics;2000-12
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