Nonlinear Differential Equations,
Electron. J. Diff. Eqns., Conf. 05, 2000, pp. 183199.
Multiple periodic solutions to a suspension bridge O.D.E.
P. J. McKenna & K. S. Moore
Abstract:
We present an ordinary differential equation which models the
torsional motion of a horizontal cross section of a suspension
bridge. We use LeraySchauder degree theory to prove that the
undamped equation has multiple periodic weak solutions. We use a
numerical continuation algorithm to demonstrate the existence of three
periodic solutions (one of small amplitude and two of large amplitude)
and to examine the bifurcation properties of the periodic solutions.
Published October 25, 2000.
Math Subject Classifications: 34C25, 34A47.
Key Words: Torsional oscillations, suspension bridge.
Show me the
PDF file (163K),
TEX file, and other files for this article.

Joe McKenna
Department of Mathematics
University College
Cork, Ireland
email: mckenna@math.uconn.edu 

Kristen S. Moore
Department of Mathematics
University of Michigan
Ann Arbor, MI 481091109, USA
email: ksmoore@math.lsa.umich.edu
http://www.math.lsa.umich.edu/~ksmoore 
Return to the EJDE web page