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Inverse Problems of Mei Symmetry for Nonholonomic Systems with Variable Mass

Published online by Cambridge University Press:  14 April 2015

W.-L. Huang  and
J.-L. Cai
W.-L. Huang
Affiliation:
Department of Physics and Telecom Engineering Hunan City University Yiyang, China
J.-L. Cai*
Affiliation:
College of Science Hangzhou Normal University Hangzhou, China
*
* Corresponding author (caijianle@aliyun.com)
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Abstract

The inverse problem of the Mei symmetry for nonholonomic systems with variable mass is studied. Firstly, the authors discuss the Mei symmetry of the holonomic system opposite to a nonholonomic system. Secondly, weak and strong Mei symmetries of a nonholonomic system are concluded through restriction equations and additional restriction equations. Thirdly, the relevant conserved quantity is deduced by means of the structure equation for the gauge function. Fourthly, the inverse problem of the Mei symmetry is obtained by the Noether symmetry. Finally, the paper offers an example to illustrate the application of the research result.

Keywords

Non-holonomic systemVariable massMei symmetryInverse problem

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Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 5 , October 2015 , pp. 515 - 523
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

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