Existence and stability of large scale nonlinear oscillations in suspension bridges |
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| Authors: | J. Glover A. C. Lazer P. J. McKenna |
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| Affiliation: | (1) Dept. of Mathematics, University of Florida, 32611 Gainesville, Florida;(2) Dept. of Mathematics and Computer Science, University of Miami, 33124 Coral Gables, Florida;(3) Dept. of Mathematics, University of Connecticut, 06268 Storrs, Connecticut, USA |
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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. |
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