| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
Two kinds of generalized gradient representationsfor holonomic mechanical systems |
| Feng-Xiang Mei(梅凤翔)1 and Hui-Bin Wu(吴惠彬)2 |
1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;
2. School of Mathematics, Beijing Institute of Technology, Beijing 100081, China |
|
|
|
|
Abstract Two kinds of generalized gradient systems are proposed and the characteristics of the two systems are studied. The conditions under which a holonomic mechanical system can be considered as one of the two generalized gradient systems are obtained. The characteristics of the generalized gradient systems can be used to study the stability of the holonomic system. Some examples are given to illustrate the application of the results.
|
Received: 19 July 2015
Revised: 02 September 2015
Published: 05 January 2016
|
|
PACS:
|
45.20.Jj
|
(Lagrangian and Hamiltonian mechanics)
|
|
| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11272050). |
Corresponding Authors:
Hui-Bin Wu
E-mail: huibinwu@bit.edu.cn
|
Cite this article:
Feng-Xiang Mei(梅凤翔) and Hui-Bin Wu(吴惠彬) Two kinds of generalized gradient representationsfor holonomic mechanical systems 2016 Chin. Phys. B 25 014502
|
| [1] |
Hirsch M W and Smale S 1974 Differential Equations, Dynamical Systems, and Linear Algebra (New York: Springer-Verlag)
|
| [2] |
McLachlan R I, Quispel G R W and Robidoux N 1999 Phil. Tran. R. Soc. Lond A 357 1021
|
| [3] |
Quispel G R W and Capel H W 1996 Phys. Lett. A 218 223
|
| [4] |
Quispel G R W and Turner G S 1996 J. Phys. A: Math. Gen. 29 L341
|
| [5] |
Hong J L, Zhai S X and Zhang J J 2011 SIAM J. Numer. Anal. 49 2017
|
| [6] |
Mei F X 2012 Mechanics in Engineering 34 89 (in Chinese)
|
| [7] |
Mei F X and Wu H B 2012 J. Dynamics Control 10 289 (in Chinese)
|
| [8] |
Mei F X, Cui J C and Wu H B 2012 Trans. Beijing Inst. Tech. 32 1298 (in Chinese)
|
| [9] |
Lou Z M and Mei F X 2012 Acta Phys. Sin. 61 024502 (in Chinese)
|
| [10] |
Mei F X 2013 Mechanics in Engineering 35 79 (in Chinese)
|
| [11] |
Chen X W, Zhao G L and Mei F X 2013 Nonlinear Dyn. 73 579
|
| [12] |
Mei F X and Wu H B 2013 Sci. Sin. Phys. Mech. Astron. 43 538 (in Chinese)
|
| [13] |
Mei F X 2013 Analytical Mechanics II (Beijing: Beijing Institute of Technology Press) (in Chinese)
|
| [14] |
Mei F X and Wu H B 2013 Acta Phys. Sin. 62 214501 (in Chinese)
|
| [15] |
Ge W K, Xue Y and Lou Z M 2014 Acta Phys. Sin. 63 110202 (in Chinese)
|
| [16] |
Mei F X and Wu H B 2015 Chin. Phys. B 24 054501
|
| [17] |
Mei F X and Wu H B 2015 Acta Phys. Sin. 64 184501 (in Chinese)
|
| [18] |
Mei F X and Wu H B 2015 Chin. Phys. B 24 104502
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
| |
Shared |
|
|
|
|
| |
Discussed |
|
|
|
|
