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Nonlinear eigenvalue problems for the whirling of heavy elastic strings, II: new methods of global bifurcation theory

Published online by Cambridge University Press:  14 November 2011

J. C. Alexander ,
Stuart S. Antman  and
Shi-tao Deng
J. C. Alexander
Affiliation:
Department of Mathematics and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, U.S.A.
Stuart S. Antman
Affiliation:
Department of Mathematics and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, U.S.A.
Shi-tao Deng
Affiliation:
Chinese University of Science and Technology, Hofei, Anwhei, People's Republic of China
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Synopsis

This paper treats the global qualitative behaviour of all bifurcating configurations of whirling nonlinearly elastic strings with ends fixed on the axis of rotation.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 93 , Issue 3-4 , 1983 , pp. 197 - 227
Copyright
Copyright © Royal Society of Edinburgh 1983

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