Herglotz-type vakonomic dynamics and its Noether symmetry for nonholonomic constrained systems

被引：0
作者：
Huang, Li-Qin [1 ]
Zhang, Yi [2 ]
机构：
[1] Suzhou Univ Sci & Technol, Sch Math Sci, Suzhou 215009, Peoples R China
[2] Suzhou Univ Sci & Technol, Coll Civil Engn, Suzhou 215011, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2024年 / 65卷 / 07期
基金：
中国国家自然科学基金;
关键词：
VARIATIONAL PRINCIPLE; CONSERVATION-LAWS; LIE SYMMETRY; THEOREM;
D O I：
10.1063/5.0157564
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, Herglotz-type vakonomic dynamics and Noether theory of nonholonomic systems are studied. Firstly, Herglotz-type vakonomic dynamical equations for nonholonomic systems are derived on the premise of Herglotz variational principle. Secondly, in terms of the Herglotz-type vakonomic dynamical equations, the Noether symmetry of Herglotz-type vakonomic dynamics is explored, and the Herglotz-type vakonomic dynamical Noether theorems and their inverse theorems are deduced. Finally, the conservation laws of Appell-Hamel case with non-conservative forces are analyzed to show the validity of our results.
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页数：13
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