Herglotz type Noether theorems of nonholonomic systems with generalized fractional derivatives

被引：0

作者：

Deng, Yuan-Yuan ^{[1
]}

Zhang, Yi ^{[2
]}

机构：

[1] Suzhou Univ Sci & Technol, Sch Math Sci, Suzhou 215009, Peoples R China

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

来源：

THEORETICAL AND APPLIED MECHANICS LETTERS | 2025年 / 15卷 / 02期

关键词：

Nonholonomic system; Herglotz principle; Noether theorem; Generalized operators; VARIATIONAL-PROBLEMS; DYNAMICS;

D O I：

10.1016/j.taml.2025.100574

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Fractional calculus is widely used to deal with nonconservative dynamics because of its memorability and non- local properties. In this paper, the Herglotz principle with generalized operators is discussed, and the Herglotz type equations for nonholonomic systems are established. Then, the Noether symmetries are studied, and the conserved quantities are obtained. The results are extended to nonholonomic canonical systems, and the Herglotz type canonical equations and the Noether theorems are obtained. Two examples are provided to demonstrate the validity of the methods and results.

引用

页数：9

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