Non-noether conserved quantity of nonholonomic system having variable mass and unilateral constraints

Communications in Theoretical Physics

Volumn 42, Issue 6, 2004, Pages 801-804

  Qiao, Yong Fen ^a,b,c   Li, Ren Jie ^b   Ma, Yong Sheng ^c  

^a ZHEJIANG SCI TECH UNIVERSITY   (China)

^b QINGDAO AGRICULTURAL UNIVERSITY   (China)

^c NORTHEAST AGRICULTURAL UNIVERSITY   (China)

Author keywords

Determining equation; Non Noether conserved quantity; Nonholonomic system; Unilateral constraint; Variable mass

Indexed keywords

EID: 11144345780     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/42/6/801     Document Type: Article

References (22)

1. A.E. Noether, Nachr: Kgl. Ges. Wiss Göottingen. Math. Phys. KI. II (1918) 235.
2. M. Lutzky, J. Phys. A: Math. Gen. 12 (1979) 973.
3. D.S. Djukic' and T. Sutela, Int. J. Nonlinear Mech. 19 (1984) 331.
4. Z.P. Li, Acta Phys. Sin. 30 (1981) 1659 (in Chinese).
5. F.X. Mei, Applications of Lie Groups and Lie Algebras to Constrained Mechanical Systems, Science Press, Beijing (1999) p. 90 (in Chinese).
6. Y.F. Qiao and S.H. Zhao, Acta Phys. Sin. 50 (2001) 1 (in Chinese).
7. F.X. Mei, Acta Phys. Sin. 49 (2000) 1207 (in Chinese).
8. R.C. Zhang, X.W. Chen, and F.X. Mei, Chin. Phys. 9 (2000) 801.
9. J.H. Fang, Acta Phys. Sin. 50 (2001) 1001 (in Chinese).
10. Y.F. Qiao, J. Meng, and S.H. Zhao, Chin. Phys. 11 (2002) 859.
11. Y.F. Qiao, Y.L. Zhang and G.C. Han, Chin. Phys. 11 (2002) 988.
12. R.J. Li, Y.F. Qiao, and J. Meng, Acta Phys. Sin. 51 (2002) 1 (in Chinese).
13. S.A. Hojman, J. Phys, A: Math. Gen. 25 (1992) 291.
14. T. Pillay and P.G. Leach, J. Phys, A: Math. Gen. 29 (1996) 6999.
15. M. Lutzky, Int. J. Nonlinear Mech. 33 (1998) 393.
16. Z.X. Xu, Acta Phys. Sin. 51(2002) 2423 (in Chinese).
17. F. X. Mei, Acta Phys. Sin. 52 (2003) 1048 (in Chinese).
18. S.K. Luo, L.Q. Jia, and J.L. Cai, Chin. Phys. 12 (2003) 841.
19. S.K. Luo, L.Q. Jia, and J.L. Cai, Commun. Theor. Phys. (Beijing, China) 40 (2003) 265.
20. Y. Zhang and F.X. Mei, Acta Mechanical Solida Sineca 12 (1992) 22 (in Chinese).
21. Y.F Qiao, G.C. Han, and Y.L. Zhang, J. Jiangxi Normal University 26 (2002) 283 (in Chinese)
22. J.H. Liang, Acta Armamentarll 23 (2002) 91 (in Chinese).