Lagrange symmetries and conserved quantities for nonholonomic systems of non-Chetaev’s type

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Abstract
This paper focuses on Lagrange symmetries and conserved quantities for nonconservative mechanical systems with nonholonomic constraints of non-Chetaev's type. The definition and criterion of Lagrange symmetry of the systems are given. The conditions under which a Lagrange symmetry can lead to a new conserved quantity（first integral)are obtained and the form of the new conserved quantity（first integral)is presented. Two examples are given to illustrate the application of the results.

Keywords:
nonholonomic system of non-Chetaev’s type /

Lagrange symmetry /

conserved quantity
Authors and contacts
Zhang Yi²,

Ge Wei-Kuan¹

(1)湖州师范学院物理系,湖州 313000; (2)苏州科技学院土木工程学院，苏州 215011
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