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.