Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (1): 89-94.

• 论文 • 上一篇    下一篇

THE CONSERVATION LAW OF NONHOLONOMIC SYSTEM OF SECOND-ORDER NON-CHETAVE’S TYPE IN EVENT SPACE

方建会   

  1. Department of Applied Physics, University of Petroleum, Dongying, Shandong 257061, P. R. China
  • 收稿日期:2000-06-25 修回日期:2001-10-09 出版日期:2002-01-18 发布日期:2002-01-18

THE CONSERVATION LAW OF NONHOLONOMIC SYSTEM OF SECOND-ORDER NON-CHETAVE’S TYPE IN EVENT SPACE

FANG Jian-hui   

  1. Department of Applied Physics, University of Petroleum, Dongying, Shandong 257061, P. R. China
  • Received:2000-06-25 Revised:2001-10-09 Online:2002-01-18 Published:2002-01-18

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

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

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