中国物理B ›› 2001, Vol. 10 ›› Issue (5): 376-379.doi: 10.1088/1009-1963/10/5/302
梅凤翔1, 李元成2, 张毅3, 梁景辉4
Li Yuan-cheng (李元成)a, Zhang Yi (张毅)b, Liang Jing-hui (梁景辉)c, Mei Feng-xiang(梅凤翔)d
摘要: In this paper, we present Noether's theorem and its inverse theorem for nonholonomic systems of non-Chetaev's type with unilateral constraints. We present first the principle of Jourdain for the system and, on the basis of the invariance of the differential variational principle under the infinitesimal transformations of groups, we have established Noether's theory for the above systems. An example is given to illustrate the application of the result.
中图分类号: (Calculus of variations)