Hanging an Elastic Ring
(1980) Hanging an Elastic Ring. Technical Report CS80007-R, Computer Science, Virginia Tech.
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Abstract
A thin flexible elastic circular ring is hung at one point. The ring deforms due to its own weight. The problem depends on a non-dimensional parameter B representing the relative importance of density and length to rigidity. The heavy elastica equations are solved by perturbation for small B, by a quasi-Newton method for intermediate B, and by a homotopy method for large B. The approximate results show good agreement with numerical integration for B < 20.
| Item Type: | Departmental Technical Report |
|---|---|
| Subjects: | Computer Science > Historical Collection(Till Dec 2001) |
| ID Code: | 850 |
| Deposited By: | Administrator, Eprints |
| Deposited On: | 06 May 2006 |