Chin. Phys. Lett.  2011, Vol. 28 Issue (4): 040204    DOI: 10.1088/0256-307X/28/4/040204
GENERAL |
Jacobi Last Multiplier Method for Equations of Motion of Constrained Mechanical Systems
CHEN Xiang-Wei1, MEI Feng-Xiang2**
1Department of Physics and Information Engineering, Shangqiu Normal University, Shangqiu 476000
2Department of Applied Mechanics, School of Aerospace, Beijing Institute of Technology, Beijing 100081
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CHEN Xiang-Wei, MEI Feng-Xiang 2011 Chin. Phys. Lett. 28 040204
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Abstract The Jacobi last multiplier method for holonomic and nonholonomic mechanical systems is studied and some examples are given to attempt applications of the method.
Keywords: 02.30.Jr      03.50.-z      11.10.-z      11.10.Ef     
Received: 21 November 2010      Published: 29 March 2011
PACS:  02.30.Jr (Partial differential equations)  
  03.50.-z (Classical field theories)  
  11.10.-z (Field theory)  
  11.10.Ef (Lagrangian and Hamiltonian approach)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/28/4/040204       OR      https://cpl.iphy.ac.cn/Y2011/V28/I4/040204
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Articles by authors
CHEN Xiang-Wei
MEI Feng-Xiang
[1] Wu H B and Mei F X 2005 Chin. Phys. 14 2391
[2] Mei F X, Wu H B and Zhang Y F 2006 Chin. Phys. 15 1662
[3] Shang M, Guo Y X and Mei F X 2007 Chin. Phys. 16 292
[4] Wu H B, Zhang Y F and Mei F X 2006 Acta Phys. Sin. 55 4987 (in Chinese)
[5] Mei F X, Xie J F and Gang T Q 2007 Acta Phys. Sin. 56 5051 (in Chinese)
[6] Mei F X, Xie J F and Gang T Q 2007 Chin. Phys. 16 2845
[7] He G and Mei F X 2008 Acta Phys. Sin. 57 18 (in Chinese)
[8] Whitlaker E T 1952 A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (Cambridge: Cambridge Univ. Press)
[9] Galiullin A S, Gafarov G G, Malaisbka R P and Khwan A M 1997 Analytical Dynamics of Helmholtz, Birkhoff and Nambu Systems (Moscow: UFN) (in Russin)
[10] Mei F X and Shang M 2008 Chin. Phys. Lett. 25 3837
[11] Li Z P 1993 Classical and Quantum Constrained System and its Symmetries (Beijing: Beijing Industrial University Press) (in Chinese)
[12] Luo S K and Zhang Y F 2008 Advances in the Study of Dynamics of Constrained systems (Beijing: Science Press) (in Chinese)
[13] Novoselov V S 1996 Variational Principle in Mechanics (Leningrad: LGU Press) (in Russian)
[14] Mei F X 1985 Foundations of Mechamics of Nonbolonomic Systems (Beijing: BIT Press) (in Chinese)
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