Hojman conserved quantities of generalized linear nonholonomic mechanical systems

Dong Wen-Shan; Fang Jian-Hui; Huang Bao-Xin

doi:10.7498/aps.59.724

Abstract
We study the Lie symmetries and Hojman conserved quantities of generalized linear nonholonomic mechanical systems. Under special infinitesimal transformations in which the time is invariable，the determining equations，the constrained restriction equations and the additional restriction equations of the nonholonomic mechanical systems are obtained. The Hojman conserved quantity of the corresponding holonomic systems，the weakly Hojman conserved quantity and the strongly Hojman conserved quantity of the linear nonholonomic systems are obtained. An example to illustrate the application of the result is given.

Keywords:
generalized linear nonholonomic mechanical system /

Lie symmetries /

Hojman conserved quantitity
Authors and contacts
Dong Wen-Shan¹,

Fang Jian-Hui²,

Huang Bao-Xin¹

(1)潍坊学院物理与电子科学系，潍坊 261061; (2)中国石油大学应用物理系，东营 257061
References

Cited By

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[15]	Luo Shao-Kai, Guo Yong-Xin, Mei Feng-Xiang. Noether symmetry and Hojman conserved quantity for nonholonomic mechanical systems. Acta Physica Sinica, 2004, 53(5): 1270-1275. doi: 10.7498/aps.53.1270
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Vol. 59, Issue 2 - 2010-01-20

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