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| Lutzky conserved quantities for systems with unilateral holonomic constraints |
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ZHANG Yi
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(Department of Civil Engineering， University of Science and Technology of Suzhou，Suzhou 215011，Jiangsu Province， China )
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| Abstract: |
| The symmetries and conserved quantities for the systems with unilateral holonomic constraints were studied. The differential equations of motion of the systems were established. Under the point symmetric transformations of the coordinates and time， the definition of Lie symmetry of the system was given， and a new type of conserved quantities called Lutzky conserved quantities，which is directly deduced from Lie symmetries of the system，was obtained. As special cases， the Lutzky conserved quantities for the system with remainder coordinates， the non- conservative system and the Lagrange system，were given. An example was given to illustrate the application of the results. |
| Key words: analytical mechanics unilateral constraint holonomic system symmetry Lutzky conserved quantity |
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