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On the deformation of an elastic wire by one or two heavy disks


Aissani, A; Chipot, M; Fouad, S (2001). On the deformation of an elastic wire by one or two heavy disks. Archiv der Mathematik, 76(6):467-480.

Abstract

We consider the deformation of an elastic wire that supports two identical heavy disks rolling freely on it. One can expect that the equilibrium position of these two disks is such that we have them stabilized in the middle of the wire at the same level. In fact, we show that this result fails when the weight of the disks is large.

We consider the deformation of an elastic wire that supports two identical heavy disks rolling freely on it. One can expect that the equilibrium position of these two disks is such that we have them stabilized in the middle of the wire at the same level. In fact, we show that this result fails when the weight of the disks is large.

Citations

3 citations in Web of Science®
2 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:elastic energy; potential energy; global minimizers; deformation of an elastic wire; equilibrium position
Language:English
Date:2001
Deposited On:28 Jun 2010 08:41
Last Modified:05 Apr 2016 13:25
Publisher:Springer
ISSN:0003-889X
Publisher DOI:https://doi.org/10.1007/PL00000459
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1831504

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