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Lie Symmetry and Approximate Hojman Conserved Quantity of Lagrange Equations for a Weakly Nonholonomic System

Published online by Cambridge University Press:  08 August 2013

Y.-L. Han ,
X.-X. Wang ,
M.-L. Zhang  and
L.-Q. Jia
Y.-L. Han
Affiliation:
School of Science, Jiangnan University, Wuxi, 214122, P. R., China
X.-X. Wang
Affiliation:
School of Science, Jiangnan University, Wuxi, 214122, P. R., China
M.-L. Zhang
Affiliation:
School of Science, Jiangnan University, Wuxi, 214122, P. R., China
L.-Q. Jia*
Affiliation:
School of Science, Jiangnan University, Wuxi, 214122, P. R., China
*
*[email protected]
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Abstract

The Lie symmetry and Hojman conserved quantity of Lagrange equations for a weakly nonholonomic system and its first-degree approximate holonomic system are studied. The differential equations of motion for the system are established. Under the special infinitesimal transformations of group in which the time is invariable, the definition of the Lie symmetry for the weakly nonholonomic system and its first-degree approximate holonomic system are given, and the exact and approximate Hojman conserved quantities deduced directly from the Lie symmetry are obtained. Finally, an example is given to study the exact and approximate Hojman conserved quantity for the system.

Keywords

Weakly nonholonomic systemLagrange equationsLie symmetryApproximate Hojman conserved quantity
Type
Research Article
Information
Journal of Mechanics , Volume 30 , Issue 1 , February 2014 , pp. 21 - 27
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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References

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