The Lie Symmetries and Conserved Quantities of Variable-Mass Nonholonomic System of Non-Chetaev's Type in Phase Space

FANG Jian-hui; ZHAO Song-qing; JIAO Zhi-yong

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(10): 1080-1084

FANG Jian-hui, ZHAO Song-qing, JIAO Zhi-yong. The Lie Symmetries and Conserved Quantities of Variable-Mass Nonholonomic System of Non-Chetaev's Type in Phase Space[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1080-1084.

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The Lie Symmetries and Conserved Quantities of Variable-Mass Nonholonomic System of Non-Chetaev's Type in Phase Space

Department of Applied Physics, University of Petroleum, Dongying, Shandong 257061, P R China

Received Date: 2000-10-24
Rev Recd Date: 2002-05-14
Publish Date: 2002-10-15

Abstract

Abstract

The Lie symmetries and the conserved quantities of a variable mass nonholonomic system of non-Chetaev's type are studied by introducing the infinitesimal transformations of groups in phase space. By using the invariance of the differential equations of motion under the infinitesmal transformations of groups,the determining equations and the restriction equations of the Lie symmetries of the system are established,and the structure equations and the conserved quantities are obtained. An example is given to illustrate the application of the result.
- nonholonomic system,
- phase space,
- analytic mechanics,
- variable mass,
- Lie symmetry,
- conserved quantity

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References(9)

References

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