Non-linear dynamics of the extended Lazer-McKenna bridge oscillation model

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In this Subject: <a title="Electrical & Nuclear Engineering" href="/content/subcat?j_subject=187&j_availability=">Electrical & Nuclear Engineering ,&nbsp; <a title="Mathematics and Statistics" href="/content/subcat?j_subject=195&j_availability=">Mathematics and Statistics
By this author: Doole S. H. ;&nbsp; Hogan S. J.

Authors: Doole S. H.; Hogan S. J.

Source: Dynamics and Stability of Systems, Volume 15, Number 1, 1 March 2000 , pp. 43-58(16)

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Abstract:

We examine the dynamics of two simple coupled non-linear ordinary differential equations (ODEs) first introduced by Lazer and McKenna (SIAM Review 32 (4), 537-578, 1990). Using the numerical continuation package AUTO, we obtain multiple coexistence of periodic motions, period-doubling sequences and the onset of 'beats' solutions via torus bifurcations. We discuss the implications of these results for the modelling of suspension bridge dynamics.

Language: English

Document Type: Research article

Publication date: 2000-03-01