A complete second-order solution is presented for the hydrodynamic forces due to the action of bichromatic, bidirectional waves on an array of bottom-mounted, surface-piercing cylinders of arbitrary cross section in water of uniform finite depth. Based on the constant structural cross section, the first-order problem is solved utilizing a two-dimensional Green function approach, while an assisting radiation potential approach is used to obtain the hydrodynamic loads due to the second-order potential. Results are presented which illustrate the influence of wave directionality on the second-order sum and difference frequency hydrodynamic forces on a two-cylinder array. It is found that wave directionality may have a significant influence on the second-order hydrodynamic forces on these arrays and that the assumption of unidirectional waves does not always lead to conservative estimates of the second-order loading.
Second-Order Diffraction Forces on an Array of Vertical Cylinders in Bichromatic Bidirectional Waves
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Vazquez, J. H., and Williams, A. N. (February 1, 1995). "Second-Order Diffraction Forces on an Array of Vertical Cylinders in Bichromatic Bidirectional Waves." ASME. J. Offshore Mech. Arct. Eng. February 1995; 117(1): 12–18. https://doi.org/10.1115/1.2826984
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