Department of Mathematics
University College
Cork, Ireland
e-mail: mckenna@math.uconn.edu
Department of Mathematics
University of Michigan
Ann Arbor, MI 48109-1109, USA
e-mail: ksmoore@math.lsa.umich.edu
http://www.math.lsa.umich.edu/~ksmoore
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 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 25, 2000.
Math Subject Classifications: 34C25, 34A47.
Key Words: Torsional oscillations, suspension bridge.
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Joe McKenna Department of Mathematics University College Cork, Ireland e-mail: mckenna@math.uconn.edu |
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Kristen S. Moore Department of Mathematics University of Michigan Ann Arbor, MI 48109-1109, USA e-mail: ksmoore@math.lsa.umich.edu http://www.math.lsa.umich.edu/~ksmoore |
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