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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A generalization of Noether's theorem for a non-material volume

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Author(s):
Casetta, Leonardo [1] ; Irschik, Hans [2] ; Pesce, Celso Pupo [1]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Escola Politecn, Dept Mech Engn, BR-05508 Sao Paulo - Brazil
[2] Johannes Kepler Univ Linz, Inst Tech Mech, A-4040 Linz - Austria
Total Affiliations: 2
Document type: Journal article
Source: ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK; v. 96, n. 6, p. 696-706, JUN 2016.
Web of Science Citations: 11
Abstract

Variable-mass conditions can occur in a variety of practical problems of engineering. Investigations on problems of this type have been figuring as a particular research field of mechanics and applied mathematics. The fundamental issue is that the basic equations of classical mechanics were originally formulated for the case of an invariant mass contained in a material volume. Therefore, appropriate formulations are required when dealing with variable-mass problems. The scope of the present article is devoted to arbitrarily moving control volumes formulated within the framework of Ritz's method, that is, to non-material volumes in the sense discussed by Irschik and Holl {[}10]. We aim at demonstrating a generalized version of Noether's theorem such that it can be grounded on the generalized Hamilton's principle for a non-material volume in the form derived by Casetta and Pesce {[}17]. This will consistently allow the consideration of conservation laws, written from a Noetherian approach, in this particular context of non-material volumes. To test the proposed formulation, the problem of a rotating drum uncoiling a strip will be addressed. (C) 2015 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim (AU)

FAPESP's process: 12/10848-4 - Advanced studies on the mechanics of variable mass systems
Grantee:Leonardo Casetta
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 13/02997-2 - Lagrangian and Hamiltonian formalism for non-material volumes
Grantee:Leonardo Casetta
Support type: Scholarships abroad - Research Internship - Post-doctor