Computer Science Technical Reports
CS at VT

Hanging an Elastic Ring

Watson, L. T. and Wang, C. Y. (1980) Hanging an Elastic Ring. Technical Report CS80007-R, Computer Science, Virginia Tech.

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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