Conformal invariance for nonholonomic system of Chetaev＇s type with variable mass
Conformal invariance and conserved quantities for a nonholonomic system of Chetaev＇s type with variable mass are studied. The conformal factor expressions are derived. The necessary and sufficient conditions are obtained to make the system＇s con- formal invariance Lie symmetrical. The conformal inva...
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| Published in | 应用数学和力学：英文版 Vol. 33; no. 11; pp. 1393 - 1402 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
2012
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| Online Access | Get full text |
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| Summary: | Conformal invariance and conserved quantities for a nonholonomic system of Chetaev＇s type with variable mass are studied. The conformal factor expressions are derived. The necessary and sufficient conditions are obtained to make the system＇s con- formal invariance Lie symmetrical. The conformal invariance of the weak and strong Lie symmetries for the system is given. The corresponding conserved quantities of the system are derived. Finally, an application of the result is shown with an example. |
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| Bibliography: | Conformal invariance and conserved quantities for a nonholonomic system of Chetaev＇s type with variable mass are studied. The conformal factor expressions are derived. The necessary and sufficient conditions are obtained to make the system＇s con- formal invariance Lie symmetrical. The conformal invariance of the weak and strong Lie symmetries for the system is given. The corresponding conserved quantities of the system are derived. Finally, an application of the result is shown with an example. 31-1650/O1 nonholonomic system, variable mass, conformal invariance, conservedquantity Wei-li HUANG , Jian-le CAI |
| ISSN: | 0253-4827 1573-2754 |