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Existence and stability of large scale nonlinear oscillations in suspension bridges

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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.

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Authors and Affiliations

  1. Dept. of Mathematics, University of Florida, 32611, Gainesville, Florida

    J. Glover

  2. Dept. of Mathematics and Computer Science, University of Miami, 33124, Coral Gables, Florida

    A. C. Lazer

  3. Dept. of Mathematics, University of Connecticut, 06268, Storrs, Connecticut, USA

    P. J. McKenna

Authors
  1. J. Glover
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  2. A. C. Lazer
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  3. P. J. McKenna
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Additional information

Author partially supported by NSF under Grant DMS 8318204 and AFOSR Grant 85-0330.

Author partially supported by NSF under Grant DMS 9519882.

Author partially supported by NSF under Grant DMS 8519776.

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Glover, J., Lazer, A.C. & McKenna, P.J. Existence and stability of large scale nonlinear oscillations in suspension bridges. Z. angew. Math. Phys. 40, 172–200 (1989). https://doi.org/10.1007/BF00944997

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  • DOI: https://doi.org/10.1007/BF00944997

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