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Subharmonic resonance of Venice gates in waves. Part 2. Sinusoidally modulated incident waves

Published online by Cambridge University Press:  25 October 1997

PAOLO SAMMARCO ,
HOANG H. TRAN ,
ODED GOTTLIEB  and
CHIANG C. MEI
PAOLO SAMMARCO
Affiliation:
Present address: DITS, University of Rome ‘La Sapienza’, Italy. Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
HOANG H. TRAN
Affiliation:
Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
ODED GOTTLIEB
Affiliation:
Present address: Department of Mechanical Engineering, Technion, Haifa, Israel. Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
CHIANG C. MEI
Affiliation:
Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
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Abstract

In order to examine the effects of finite bandwidth of the incident sea spectrum on the resonance of the articulated storm gates for Venice Lagoon, we consider a narrow band consisting of the carrier frequency and two sidebands. The evolution equation for the gate oscillations now has a time-periodic coefficient, and is equivalent to a non-autonomous dynamical system. For small damping and weak forcing, approximate analysis for local and global bifurcations are carried out, and extended by direct numerical simulation. Typical bifurcation scenarios are also examined by laboratory experiments.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 349 , 25 October 1997 , pp. 327 - 359
Copyright
© 1997 Cambridge University Press

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