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EFFECTS OF NON-CONSERVATIVE FORCES ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A LAGRANGE SYSTEM |
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| Authors: | Zhang Rui-chao Chen Xiang-wei Mei Feng-xiang |
| Affiliation: | Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China |
| Abstract: | Non-conservative forces are exerted on a Lagrange system. Their effects on Lie symmetries, structure equation and conserved quantities of the system are studied. It can be seen that some Lie symmetries disappear and some new Lie symmetries emerge. Under certain conditions, some Lie symmetries will still remain present. |
| Keywords: | analytical mechanics Lagrange system non-conserved force Lie symmetry conserved quantity. |
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