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.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General 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: | 23 Jan 2022 14:39 |
| Publisher: | Springer |
| ISSN: | 0003-889X |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/PL00000459 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1831504 |
Aissani, A