Zeitschrift für angewandte Mathematik und Physik ZAMP

, Volume 40, Issue 2, pp 172–200

Existence and stability of large scale nonlinear oscillations in suspension bridges

  • J. Glover
  • A. C. Lazer
  • P. J. McKenna
Original Papers

DOI: 10.1007/BF00944997

Cite this article as:
Glover, J., Lazer, A.C. & McKenna, P.J. Z. angew. Math. Phys. (1989) 40: 172. doi:10.1007/BF00944997

Abstract

A nonlinear model of a suspension bridge is considered in which large-scale, stable oscillatory motions can be produced by constant loading and a small-scale, external oscillatory force. Loud's implicit-function theoretic method for determining existence and stability of periodic solutions or nonlinear differential equations is extended to a case of a non-differentiable nonlinearity.

Copyright information

© Birkhäuser Verlag 1989

Authors and Affiliations

  • J. Glover
    • 1
  • A. C. Lazer
    • 2
  • P. J. McKenna
    • 3
  1. 1.Dept. of MathematicsUniversity of FloridaGainesville
  2. 2.Dept. of Mathematics and Computer ScienceUniversity of MiamiCoral Gables
  3. 3.Dept. of MathematicsUniversity of ConnecticutStorrsUSA