The theory of relativistic analytical mechanics of the rotational systems

Applied Mathematics and Mechanics (English Edition)

Volumn 19, Issue 1, 1998, Pages 45-57

  Shaokai, Luo ^a  

^a SHANGQIU NORMAL UNIVERSITY   (China)

Author keywords

Analytical mechanics.nonholonomic constraints; Equation of motion, conservation law; Relativity; Rotational systems; Variation principle

Indexed keywords

EQUATIONS OF MOTION; RELATIVITY; ROTATION; VARIATIONAL TECHNIQUES;

ANALYTICAL MECHANICS; HOLONOMIC CONSTRAINTS; NONHOLONOMIC CONSTRAINTS; ROTATIONAL SYSTEM;

DYNAMICS;

EID: 0031704798     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02458980     Document Type: Article

References (16)

1. R. Bengtsson and S. Frauendorf, Quasiparticle spectra near the yrast line, Nucler Physics, I A327 (1979), 139-171. I
2. 3 topology (I-II), Foundations of Physics, 15,2 (1985), 175-185.
3. M. Carmeli, The dynamics of rapidly rotating bodies, Foundations of Physics, 15, 8(1985), 889-903.
4. 3 topology (III), Foundations of Physics, 15, 10 (1985), 1019-1029.
5. M. Carmeli, Rotational relativity theory, International Journal of Theoretical Physics, 25, 1 (1986), 89-94.
6. Luo Shaokai, On the theory for relativistic analytical mechanics, Teaching Material Communication, 5 (1978), 31-34. (in Chinese)
7. Luo Shaokai, Relativistic Hamilon principle and Lagrange equation in the generalized event space, College Physics, 11, 10 (1992), 14- 16. (in Chinese)
8. [ 8 ] Luo Shaokai, On the theory for relativistic dynamics of nonlinear nonholonomic systems, Shanghai Journal of Mechanics, 12, 1 (1991), 67 - 70.
9. Luo Shaokai, Relativistic variational principles and equations of motion of high-order nonlinear nonholonomic system, Proc. 1CDVC, Peking University Press (1990), 645-652.
10. Luo Shaokai, Relativistic generalized Volterra equation of variablae mass high-order nonlinear nonholonomic systems, Acta Mathematica Scientia, 12, ZK (1992), 27-29. (in Chinese)
11. Luo Shaokai, Relativistic variation principles and equation of motion for variable mass controllable mechanics systems, Applied Mathematics and Mechanics, 17, 7 (1996), 683- 692.
12. Mei Fengxiang, Foundations of Mechanics of Nonholonomic Systems, Peking Institute of Technology Press, (1985), 81 -311, 316-357. (in Chinese)
13. Niu Qingping, Fundamental differential principles and equations of motion of mechanical systems with nonholonomic constraints in classical mechanics, Acta Mechanica Sinica , 7, 2 (1964), 139 -148.
14. Luo Shaokai, Generalized Noether's theorem of nonholonomic nonpotential system in noninertial reference frames, Applied Mathematics and Mechanics, 12, 9 (1991), 927-935.
15. Mei Fengxiang, Research of Nonholonomic Dynamics, Peking Institute of Technology Press, (1987), 181-275. (in Chinese)
16. Mei Fengxiang, Advanced Analytical Mechanics, Peking University of Science and Technology Press, (1991), 392-529. (in Chinese)