Watson, Layne T.Wang, Chang Y.2013-06-192013-06-191980http://hdl.handle.net/10919/20346A 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.application/pdfenIn CopyrightTechnical reportCS80007-Rhttp://eprints.cs.vt.edu/archive/00000850/01/CS80007-R.pdf