RESEARCH PAPERS: Offshore Mechanics/Ocean Engineering

Nonlinear Inertia Forces on Slender Cylindrical Members

[+] Author and Article Information
A. N. Williams

Department of Mathematics, Oregon State University, Corvallis, Ore. 97331

J. Energy Resour. Technol 106(2), 222-225 (Jun 01, 1984) (4 pages) doi:10.1115/1.3231041 History: Received February 07, 1983; Revised January 17, 1984; Online October 22, 2009


An expression for the nonlinear wave force on a vertical, circular cylindrical member whose diameter is small compared to the incident wavelength is derived from an exact solution to the second-order diffraction problem. A comparison is then made with the inertial force estimates obtained using Stokes’ second and fifth-order wave theories in Morison’s equation with a mass coefficient derived from linear potential theory, as is currently recommended in the offshore design codes. Results indicate that in water depths of the order of 1/16 of a wavelength, nonlinear free-surface effects contribute significantly to the total inertia force on a slender cylindrical member.

Copyright © 1984 by ASME
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