Noether's theory for mechanical systems with unilateral constraints
type: Item
instance of: scholarly article
title: Noether's theory for mechanical systems with unilateral constraints
zbMATH Open document ID: 0966.70010
DOI: 10.1007/BF02458540
author: Yi Zhang
author: Fengxiang Mei
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2001-08-06T00:00:00Z
review text: In the last twenty years, the study of Noether's theory has become a popular topic by mechanicians, and a lot of remarkable generalizations have been made. However, all these researches were limited to systems with bilateral constraints, but, in practice, the problems with unilateral constraints are more interesting. In this paper, the Noether theorem and inverse Noether theorem for a dynamical system with unilateral constraints are obtained by using as main tool the notion of generalized quasi-symmetry (a special infinitesimal transformation of an \(r\)-parametric transformation group). Two examples illustrate the approach.
Mathematics Subject Classification ID: 70H33
zbMATH DE Number: 1491073
zbMATH Keywords: Noether theorem
zbMATH Keywords: generalized quasi-symmetry
zbMATH Keywords: inverse Noether theorem
zbMATH Keywords: dynamical system with unilateral constraints
zbMATH Keywords: infinite transformation
zbMATH Keywords: \(r\)-parametric transformation group
reviewed by: Mircea Crasmareanu
MaRDI profile type: Publication
cites work: Noether's theory in classical nonconservative mechanics
cites work: A study of conservation laws of dynamical systems by means of the differential variational principles of Jourdain and Gauss
cites work: Noether theorem and its inverse theorem in canonical formalism for nonholonomic nonconservative singular system
cites work: Noether's theorem and its inverse of nonholonomic nonconservative dynamical systems
cites work: The Noether's theory of Birkhoffian systems
cites work: Q3212347
cites work: Mechanical Systems of Rigid Bodies Subject to Unilateral Constraints
full work available at URL: https://doi.org/10.1007/bf02458540
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description: scientific article; zbMATH DE number 1491073