Non-Noether Conserved Quantity of Nonholonomic System Having Variable
Mass and Unilateral Constraints

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Communications in Theoretical Physics

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Non-Noether Conserved Quantity of Nonholonomic System Having Variable Mass and Unilateral Constraints

QIAO Yong-Fen,^1,2,3 LI Ren-Jie,² and MA Yong-Sheng³

¹ Department of Mechanical Engineering and Automation, Zhejiang Institute of Science and Technology, Hangzhou 310027, China
² Physics Teaching Division, Laiyang Agricultural College, Laiyang 265204, China
³ Engineering College, Northeast Agricultural University, Harbin 150030, China

Received: 2003-11-04 Revised: 2004-04-18 Published: 2004-12-15

Abstract

Abstract: Using the Lie Symmetry under infinitesimal transformations in which the time is not variable, the non-Noether conserved quantity of nonholonomic system having variable mass and unilateral constraints is studied. The differential equations of motion of the system are given. The determining equations of Lie symmetrical transformations of the system under infinitesimal transformations are constructed. The Hojman's conservation theorem of the system is established. Finally, we give an example to illustrate the application of the result.

Key words: variable mass, unilateral constraint, nonholonomic system, non-Noether conserved quantity, determining equation

PACS numbers:

02.20.Sv

QIAO Yong-Fen,,, LI Ren-Jie, and MA Yong-Sheng, Commun. Theor. Phys. 42 (2004) 801.

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Non-Noether Conserved Quantity of Nonholonomic System Having Variable Mass and Unilateral Constraints

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