Wave-free motions of isolated bodies and the existence of motion-trapped modes

DOI10.1017/S0022112007006957zbMath1118.76021OpenAlexW2124721142MaRDI QIDQ5757179

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Publication date: 6 September 2007

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112007006957

zbMATH Keywords

circular cylindertetheringtrapped mode frequency

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (10)

Trapping of water waves by freely floating structures in a channel ⋮ Coupled mode theory for acoustic resonators ⋮ Two-sided estimates for eigenfrequencies in the John problem for a freely floating body ⋮ The motion of a freely floating cylinder in the presence of a wall and the approximation of resonances ⋮ Examples of trapped modes in the presence of freely floating structures ⋮ Water-wave trapping by floating circular cylinders ⋮ A submerged cylinder wave energy converter ⋮ Radiation, trapping and near-trapping in arrays of floating truncated cylinders ⋮ Passive trapped modes in the water-wave problem for a floating structure ⋮ Trapped modes along a periodic array of freely floating obstacles

Cites Work

• The trapping of surface waves above a submerged, horizontal cylinder
• Trapped modes embedded in the continuous spectrum
• An example of non-uniqueness in the two-dimensional linear water wave problem
• Trapped modes in the water-wave problem for a freely floating structure
• First- and second-order forces on a cylinder submerged under a free surface
• ON THE HEAVING MOTION OF A CIRCULAR CYLINDER ON THE SURFACE OF A FLUID
• ON THE WAVES DUE TO THE ROLLING OF A SHIP

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