Third-Order Hydrodynamic Loads on an Oscillating Vertical Cylinder in Water

[+] Author and Article Information
M. Markiewicz, O. Mahrenholtz

Technische Universität Hamburg-Harburg, Meerestechnik II—Mechanik, 21071 Hamburg, Germany

P. Łȩtkowski

Cracow University of Technology, Institute of Mechanics and Machine Design, 31-155 Cracow, Poland

J. Offshore Mech. Arct. Eng 121(1), 16-21 (Feb 01, 1999) (6 pages) doi:10.1115/1.2829549 History: Received April 16, 1998; Revised August 25, 1998; Online December 17, 2007


The third-harmonic component of the third-order hydrodynamic loads on a vertical circular cylinder oscillating in water is calculated by a conventional perturbation method within the framework of a potential theory. Although the third-order forces are expressed in terms of the first, second, and third-order components of the velocity potential, the latter is not directly required for the calculation. It is replaced by a properly defined linearized radiation potential via Haskind-like theorem. The results of the study are applicable to the analysis of high-frequency resonances of deepwater offshore structures under earthquake excitation or under steep waves (ringing problem).

Copyright © 1999 by The American Society of Mechanical Engineers
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