Form invariance of mechanical systems with unilateral holonomic constraints

Zhang Yi

doi:10.7498/aps.53.331

Abstract
In this paper, we study the form invariance of a mechanical system with unilateral holonomic constraints. According to the invariance of the form of the differential equation of motion under the infinitesimal transformations, we give the definition and criterion for the form invariance of mechanical systems with unilateral holonomic constraints, and establish the relation between the form invariance and Noether symmetry and Lie symmetry. In the end of the paper, an example is given to illustrate the application of the results.

Keywords:
analytical mechanics /

unilateral constraint /

form invariance /

Lie symmetry /

Noether symmetry /

conserved quantity
Authors and contacts
Zhang Yi

1.
苏州科技学院土木工程系，苏州 215011
References

Cited By

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[7]	Zhang Yi. Non-Noether conserved quantities for systems with unilateral non-Chetaev nonholonomic constraints. Acta Physica Sinica, 2006, 55(2): 504-510. doi: 10.7498/aps.55.504
[8]	Zhang Yi. Lutzky conserved quantities and velocity-dependent symmetries for systems with unilateral holonomic constraints. Acta Physica Sinica, 2006, 55(5): 2109-2114. doi: 10.7498/aps.55.2109
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Vol. 53, Issue 2 - 2004-01-20

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Form invariance of mechanical systems with unilateral holonomic constraints

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