Form invariance and conserved quantity for weakly nonholonomic system

doi:10.1007/s10483-014-1863-9

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (10): 1293-1300.doi: https://doi.org/10.1007/s10483-014-1863-9

Form invariance and conserved quantity for weakly nonholonomic system

吴惠彬, 梅凤翔

School of Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China

收稿日期:2013-04-12 修回日期:2014-03-17 出版日期:2014-10-01 发布日期:2014-10-01
通讯作者: Hui-bin WU, huibinwu@bit.edu.cn E-mail:huibinwu@bit.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 10932002, 10972031, and 11272050)

Form invariance and conserved quantity for weakly nonholonomic system

Hui-bin WU, Feng-xiang MEI

School of Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China

Received:2013-04-12 Revised:2014-03-17 Online:2014-10-01 Published:2014-10-01
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 10932002, 10972031, and 11272050)

摘要/Abstract

摘要： The form invariance and the conserved quantity for a weakly nonholonomic system (WNS) are studied. The WNS is a nonholonomic system (NS) whose constraint equations contain a small parameter. The differential equations of motion of the system are established. The definition and the criterion of form invariance of the system are given. The conserved quantity deduced from the form invariance is obtained. Finally, an illustrative example is shown.

关键词: conserved quantity, weakly nonholonomic system (WNS), form invariance

Abstract: The form invariance and the conserved quantity for a weakly nonholonomic system (WNS) are studied. The WNS is a nonholonomic system (NS) whose constraint equations contain a small parameter. The differential equations of motion of the system are established. The definition and the criterion of form invariance of the system are given. The conserved quantity deduced from the form invariance is obtained. Finally, an illustrative example is shown.

Key words: weakly nonholonomic system (WNS), conserved quantity, form invariance

中图分类号:

O316

吴惠彬;梅凤翔. Form invariance and conserved quantity for weakly nonholonomic system[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(10): 1293-1300.

Hui-bin WU;Feng-xiang MEI. Form invariance and conserved quantity for weakly nonholonomic system[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(10): 1293-1300.

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Form invariance and conserved quantity for weakly nonholonomic system

Form invariance and conserved quantity for weakly nonholonomic system

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