Electronic Journal of Differential Equations,
Conference 05 (2000), pp. 183-199.

Title: Multiple periodic solutions to a suspension bridge ordinary
  differential equation.

Authors: P. J. McKenna (Univ. College, Cork, Ireland)
  K. S. Moore (Univ. of Michigan, Ann Arbor, MI, USA)
 
Abstract: 
  We present an ordinary differential equation which models the
  torsional motion of a horizontal cross section of a suspension
  bridge.  We use Leray-Schauder 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 24, 2000.
Math Subject Classifications: 34C25, 34A47.
Key Words: Torsional oscillations; suspension bridge.