Generalized Chaplygin equations for nonholonomic systems on time scales

被引：5

作者：

Jin, Shi-Xin ^{[1
]}

Zhang, Yi ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China

[2] Suzhou Univ Sci & Technol, Coll Civil Engn, Suzhou 215011, Peoples R China

来源：

CHINESE PHYSICS B | 2018年 / 27卷 / 02期

基金：

中国国家自然科学基金;

关键词：

nonholonomic system; generalized Chaplygin equations; time scales; CALCULUS;

D O I：

10.1088/1674-1056/27/2/020502

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The generalized Chaplygin equations for nonholonomic systems on time scales are proposed and studied. The Hamilton principle for nonholonomic systems on time scales is established, and the corresponding generalized Chaplygin equations are deduced. The reduced Chaplygin equations are also presented. Two special cases of the generalized Chaplygin equations on time scales, where the time scales are equal to the set of real numbers and the integer set, are discussed. Finally, several examples are given to illustrate the application of the results.

引用

页数：6

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