Second-Order Diffraction Forces on an Array of Vertical Cylinders in Bichromatic Bidirectional Waves

[+] Author and Article Information
J. H. Vazquez

Department of Civil Engineering, Lamar University, Beaumont, TX 77710

A. N. Williams

Department of Civil and Environmental Engineering, Cullen College of Engineering, University of Houston, Houston, TX 77204-4791

J. Offshore Mech. Arct. Eng 117(1), 12-18 (Feb 01, 1995) (7 pages) doi:10.1115/1.2826984 History: Received May 23, 1994; Revised August 30, 1994; Online December 17, 2007


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.

Copyright © 1995 by The American Society of Mechanical Engineers
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