%0 Journal Article
%T Form invariance and Hojman conserved quantity for nonholonomic mechanical systems<br>非完整系统的形式不变性与Hojman守恒量
%A Luo Shao-Kai
%A Guo Yong-Xin
%A Mei Feng-Xiang
%A <br>罗绍凯
%A 郭永新
%A 梅凤翔
%J 物理学报
%D 2004
%I 
%X A non Noether conserved quantity, i.e. Hojman conserved quantity,constructed by using a form invariance for the nonholonomic mechanical systems is presented. Under special infinitesimal transformations in which the time is not changed, the determining equations of the special form invariance, the constrained restriction equations, the additional restriction equations, and the definitions of the weak form invariance and the strong form invariance of the nonholonomic mechanical systems are given. The condition under which the special form invariance is a special Lie symmetry are obtained. From the special form invariance, the Hojman conserved quantity of the corresponding holonomic systems, the weak Hojman conserved quantity and the strong Hojman conserved quantity of the nonholonomic systems are obtained. And two examples are given to illustrate the application of the result.
%K analytical mechanics
%K nonholonomic system
%K form invariance
%K non-Noether conserved quantity
%K Hojman conserved quantity<br>分析力学，
%K 非完整系统，
%K 形式不变性，
%K 非Noether守恒量，
%K Hojman守恒量
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=41A95368C4392C66&yid=D0E58B75BFD8E51C&vid=8E6AB9C3EBAAE921&iid=5D311CA918CA9A03&sid=2F687D0B62DA15A6&eid=A2AE002259CD0552&journal_id=1000-3290&journal_name=物理学报&referenced_num=5&reference_num=45