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

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Form invariance and conserved quantity for weakly nonholonomic system

Hui-bin WU, Feng-xiang MEI   

  1. 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)

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

2010 MSC Number: 

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