Hostname: page-component-7bb8b95d7b-lvwk9 Total loading time: 0 Render date: 2024-09-06T10:28:43.424Z Has data issue: false hasContentIssue false
  • English
  • Français

Exotic equilibrium states of the elastic string

Published online by Cambridge University Press:  14 November 2011

Michael Reeken
Michael Reeken
Affiliation:
Fachbereich 7 Mathematik, Universität GHS Wuppertal, Postfach 100127, 5600 Wuppertal 1, B.R.D.
Get access Rights & Permissions [Opens in a new window]

Synopsis

A detailed description of the totality of distributional solutions of the catenary problem for nonlinear elastic strings is given.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 96 , Issue 3-4 , 1984 , pp. 289 - 302
Copyright
Copyright © Royal Society of Edinburgh 1984

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Antman, S. S.. Multiple equilibriums states of nonlinearly elastic strings. SIAM J. Appl. Math. 37 (1979), 588–604.CrossRefGoogle Scholar
2Antman, S. S.. The Theory of Rods. Handbuch der Physik, VIa/2, 641–703 (Berlin: Springer, 1972).Google Scholar
3Antman, S. S.. The equations for large vibrations of string. Amer. Math. Monthly 87 (1980), 359–370.CrossRefGoogle Scholar
4Reeken, M.. The rotating string. Math. Ann, to appear.Google Scholar
5Alexander, J. C. and Reeken, M.. On the topological structure of the set of generalized solutions of the catenary problem. Proc. Roy. Soc. Edinburgh Sect. A, to appear (1984).CrossRefGoogle Scholar
6Reeken, M.. The equation of motion of a chain. Math. Z. 155 (1977), 219–237.CrossRefGoogle Scholar