Chaotic Motion of Shallow Arch Structures under 1:1 Internal Resonance
Publication: Journal of Engineering Mechanics
Volume 123, Issue 6
Abstract
The present study investigates the global bifurcations present in the motion of the shallow arch structure subjected to a spatially and temporally varying load under the conditions of principal subharmonic resonance and one-to-one internal resonance near single-mode periodic motions. Unlike the case examined in a companion paper by the writers, the effect of dissipation is also included in the present study of the global dynamics. By using a perturbation technique attributed to Kovai and Wiggins we show the existence of Silnikov-type homoclinic orbit to a saddle-focus fixed point in the perturbed system, and consequently the chaotic behavior. The results are also interpreted in terms of the physical dynamics of the shallow arch system.
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Information
Published In
Journal of Engineering Mechanics
Volume 123 • Issue 6 • June 1997
Pages: 620 - 627
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Jun 1, 1997
Published in print: Jun 1997
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