A Two-Dimensional Weibull Distribution and Its Application to Rolling

[+] Author and Article Information
D. Myrhaug

Department of Marine Hydrodynamics, Norwegian Institute of Technology, N-7034 Trondheim, Norway

E. Aa. Dahle

DnV Industry, N-1322 Ho̸vik, Norway

H. Rue

Department of Mathematical Sciences, Norwegian Institute of Technology, N-7034 Trondheim, Norway

J. Offshore Mech. Arct. Eng 117(3), 178-182 (Aug 01, 1995) (5 pages) doi:10.1115/1.2827087 History: Received January 01, 1993; Revised April 21, 1995; Online December 17, 2007


A two-dimensional Weibull distribution is presented which is obtained by transforming a two-dimensional Rayleigh distribution. The emphasis herein is on its application to describe the statistics of successive wave periods, and the results are illustrated by discussing the rolling of smaller vessels in beam seas in a simplified manner. Reference is also made to the related subjects on the joint correlation of successive high waves and on the joint statistics of wave steepness parameters for two successive waves, where the wave steepness parameters considered are the crest front steepness and the total wave steepness.

Copyright © 1995 by The American Society of Mechanical Engineers
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