NOETHER'S THEOREM FOR NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS IN EVENT SPACE

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (5): 543-548.

NOETHER'S THEOREM FOR NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS IN EVENT SPACE

李元成¹, 张毅², 梁景辉³

1. Department of Applied Physics, University of Petroleum, Dongying 257062, P. R. China;
2. Suzhou Institute of Urban Construction and Environmental Protection, Suzhou 215011, P. R. China;
3. Department of Physics, Shanxi Normal University, Linfen 041004, P. R. China

收稿日期:1999-04-23 修回日期:2000-01-06 出版日期:2000-05-18 发布日期:2000-05-18
基金资助:
the Doctoral Programme Foundation of Institution of Higher Education of China

NOETHER'S THEOREM FOR NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS IN EVENT SPACE

Li Yuancheng¹, Zhang Yi², Liang Jinghui³

1. Department of Applied Physics, University of Petroleum, Dongying 257062, P. R. China;
2. Suzhou Institute of Urban Construction and Environmental Protection, Suzhou 215011, P. R. China;
3. Department of Physics, Shanxi Normal University, Linfen 041004, P. R. China

Received:1999-04-23 Revised:2000-01-06 Online:2000-05-18 Published:2000-05-18
Supported by:
the Doctoral Programme Foundation of Institution of Higher Education of China

摘要/Abstract

摘要： To study the Noether's theorem of nonholonomic systems of non-Chetaev's type with unilateral constraints in event space, firstly, the principle of D'Alembert-Lagrange for the systems with unilateral constraints in event space is presented, secondly, the Noether's theorem and the Noether's inverse theorem for the nonholonomic systems of non-Chetaev's type with unilateral constraints in event space are studied and obtained, which is based upon the invariance of the differential variational principle under the infinitesimal transformations of group, finally, an example is given to illustrate the application of the result.

Abstract: To study the Noether's theorem of nonholonomic systems of non-Chetaev's type with unilateral constraints in event space, firstly, the principle of D'Alembert-Lagrange for the systems with unilateral constraints in event space is presented, secondly, the Noether's theorem and the Noether's inverse theorem for the nonholonomic systems of non-Chetaev's type with unilateral constraints in event space are studied and obtained, which is based upon the invariance of the differential variational principle under the infinitesimal transformations of group, finally, an example is given to illustrate the application of the result.

中图分类号:

O316

李元成;张毅;梁景辉. NOETHER'S THEOREM FOR NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS IN EVENT SPACE[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(5): 543-548.

Li Yuancheng;Zhang Yi;Liang Jinghui. NOETHER'S THEOREM FOR NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS IN EVENT SPACE[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(5): 543-548.

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NOETHER'S THEOREM FOR NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS IN EVENT SPACE

NOETHER'S THEOREM FOR NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS IN EVENT SPACE

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