%0 Journal Article
%T Form invariance of mechanical systems with unilateral holonomic constraints<br>单面完整约束力学系统的形式不变性
%A Zhang Yi
%A <br>张毅
%J 物理学报
%D 2004
%I 
%X 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.
%K analytical mechanics
%K unilateral constraint
%K form invariance
%K Lie symmetry
%K Noether symmetry
%K conserved quantity<br>分析力学
%K 单面约束
%K 形式不变性
%K Lie对称性
%K Noether对称性
%K 守恒量
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=B16ECE7628A10565&yid=D0E58B75BFD8E51C&vid=8E6AB9C3EBAAE921&iid=0B39A22176CE99FB&sid=717CC18E05F2AFA0&eid=50EA2A80A7D254EF&journal_id=1000-3290&journal_name=物理学报&referenced_num=7&reference_num=24