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.

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.