THE CONSERVATION LAW OF SECOND-ORDER NON-HOLONOMIC SYSTEM OF NON-CHETAEV’S TYPE

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (7): 836-840.

THE CONSERVATION LAW OF SECOND-ORDER NON-HOLONOMIC SYSTEM OF NON-CHETAEV’S TYPE

方建会

Department of Applied Physics, University of Petroleum, Dongying 257062, P. R. China

收稿日期:1999-01-27 修回日期:2000-03-20 出版日期:2000-07-18 发布日期:2000-07-18

THE CONSERVATION LAW OF SECOND-ORDER NON-HOLONOMIC SYSTEM OF NON-CHETAEV’S TYPE

Fang Jianhui

Department of Applied Physics, University of Petroleum, Dongying 257062, P. R. China

Received:1999-01-27 Revised:2000-03-20 Online:2000-07-18 Published:2000-07-18

摘要/Abstract

摘要： The conservation law of second-order nonholonomic system of non-Chetaev’s type was studied by means of the Jourdain’s principle. The invariant condition of Jourdain’s principle under infinitesimal transformation is given by introducing Jourdain’s generators. Then the conservation law of the system is obtained under certain conditions. Finally a calculating example is given.

关键词: Jourdain’s principle, nonholonomic system, conservation law

Abstract: The conservation law of second-order nonholonomic system of non-Chetaev’s type was studied by means of the Jourdain’s principle. The invariant condition of Jourdain’s principle under infinitesimal transformation is given by introducing Jourdain’s generators. Then the conservation law of the system is obtained under certain conditions. Finally a calculating example is given.

Key words: Jourdain’s principle, nonholonomic system, conservation law

中图分类号:

O316

方建会. THE CONSERVATION LAW OF SECOND-ORDER NON-HOLONOMIC SYSTEM OF NON-CHETAEV’S TYPE[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(7): 836-840.

Fang Jianhui . THE CONSERVATION LAW OF SECOND-ORDER NON-HOLONOMIC SYSTEM OF NON-CHETAEV’S TYPE[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(7): 836-840.

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THE CONSERVATION LAW OF SECOND-ORDER NON-HOLONOMIC SYSTEM OF NON-CHETAEV’S TYPE

THE CONSERVATION LAW OF SECOND-ORDER NON-HOLONOMIC SYSTEM OF NON-CHETAEV’S TYPE

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