Herglotz type conservation laws for nonconservative nonholonomic systems
Source abstract
Abstract
The Herglotz variational principle offers an effective method for studying nonconservative system dynamics. The aim of this paper is to study the conservation laws of nonholonomic systems by using the Herglotz type generalized variational principle and establish Noether’s theorem and its inverse theorem for this system. In deriving the equations of motion, we use the Suslov definition of the reciprocity relation between differential and variational operations. First, the Herglotz type generalized variational principle is listed, and the Herglotz type Chaplygin equations for nonconservative nonholonomic systems are deduced. Second, Noether’s theorem and Noether’s inverse theorem are established, and the Herglotz type conservation laws are given. Finally, an example is provided to illustrate the practical implementation of the findings.
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Research context
OpenAlex topics: Control and Dynamics of Mobile Robots · Dynamics and Control of Mechanical Systems · Control and Stability of Dynamical Systems
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Mathematical Sciences, Suzhou University of Science and Technology 1 , Suzhou 215009, China
College of Civil Engineering, Suzhou University of Science and Technology 2 , Suzhou 215011, China
Funding
National Natural Science Foundation of China · Postgraduate Research & Practice Innovation Program of Jiangsu Province
References (35)
Show source-provided references
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