Citation: | Zhang Yi, Mei Fengxiang. Noether’s Theory of Mechanical Systems With Unilateral Constraints[J]. Applied Mathematics and Mechanics, 2000, (1): 53-60. |
[1] |
Djukic Dj S,Vujanovic B.Noether's theory in classical nonconservative mechanics[J].Acta Mechanica,1975,23:17~27.
|
[2] |
Vujanovic B.A study of conservation laws of dynamical systems by means of the differential variational principles ofJourdain and Gauss[J].Acta Mechanica,1986,65:63~80.
|
[3] |
李子平.经典和量子约束系统及其对称性质[M].北京:北京工业大学出版社,1993.
|
[4] |
刘端.非完整非保守动力学系统的 N oether定理及其逆定理[J].中国科学,A 辑,1990,20(11):1189~1197.
|
[5] |
梅凤翔.Birkhoff系统的 Noether理论[J].中国科学,A 辑,1993,23(7):709~717.
|
[6] |
梅凤翔.分析力学专题[M].北京:北京工业学院出版社,1988.
|
[7] |
Zhuravlev V F.Equations of motion of mechanical systems with ideal unilateral constraints[J].PMM,1978,42(5):781~788.(in Russian).
|
[8] |
Ivanov AP.The equations of motion of a nonholonomic system with a non-retaining constraint[J].PMM,1985,49(5):717~723.(in Russian).
|
[9] |
Lötstedt P.Mechanical systems of rigid bodies subject to unilateral constraints[J].SIAM J ApplMath,1982,42(2):281~296.
|