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Excitation of waves trapped by submerged slender structures, and nonlinear resonance

Published online by Cambridge University Press:  21 April 2006

J. A. P. Aranha
J. A. P. Aranha
Affiliation:
Dinav, I.P.T. São Paulo, Brazil
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Abstract

In a companion paper the existence of trapped waves over submerged cylinders has been analysed, and a necessary condition for their excitation was derived. In the present paper, this study is extended to obtain physically more important results. First we consider a more realistic geometry, namely a finite, although slender, cylinder. Second we derive the necessary and sufficient conditions for the excitation of trapped modes; and lastly, the induced resonant response is studied with the multiple-scales technique. It is shown then that the wave amplitude satisfies an equation similar to the resonant nonlinear oscillator.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 192 , July 1988 , pp. 435 - 453
Copyright
© 1988 Cambridge University Press

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References

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