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Non-Noether Conserved Quantity of Nonholonomic System Having VariableMass and Unilateral Constraints |
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| Authors: | QIAO Yong-Fen LI Ren-Jie MA Yong-Sheng |
| Affiliation: | 1. Department of Mechanical Engineering and Automation, ZhejiangInstitute 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 |
| Abstract: | Using the Lie Symmetry under infinitesimal transformations inwhich the time is not variable, the non-Noether conserved quantityof nonholonomic system having variable mass and unilateralconstraints is studied. The differential equations of motionof the system are given. The determining equations of Liesymmetrical transformations of the system under infinitesimaltransformations are constructed. The Hojman's conservationtheorem of the system is established. Finally, we give anexample to illustrate the application of the result. |
| Keywords: | variable mass unilateral constraint nonholonomicsystem non-Noether conserved quantity determining equation |
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