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Title: Tables of the statistical distribution of ocean wave forces and methods of estimating drag and mass coefficients
Authors: Brown, Lloyd John, 1942-
Borgman, Leon E.
Keywords: Waves--Tables
Ocean waves--Measurements
Publisher: Coastal Engineering Research Center (U.S.)
Engineer Research and Development Center (U.S.)
Series/Report no.: Technical Memorandum;no. 24
Abstract: Abstract: This paper reviews the statistical distribution of ocean wave forces based on the formulas of earlier investigations. Throughout the paper a Gaussian sea surface is assumed. Tables are presented which give the probability density and distribution function of wave forces, particularly for use with piles and pile structures. The density and distribution function are shown to depend on a single parameter a. The tables obviate the laborious numerical computations required in previous studies, and are useful to some extent in engineering design. Since the tabulations pertain to very fundamental statistical properties of the forces, it is expected that applicability to design problems will be extended by further investigations. Five methods for the estimation are given; (1) by the method of moments, (2) by least squares fitting of the covariance function, (3) by least squares fitting of the spectral densities, (4) by use of the cross-spectral density between the force and surface profile, and (5) by the method of moments for the case of a steady current. The first four procedures assume a zero current. Several examples utilizing wave forces measured near Davenport, California are given as illustrations of the use of the tables and methods. The method of moments was found to be easiest to apply but the least squares methods appeared to give more consistent and trustworthy results. The frequency-dependent estimates of CD and CM determined from cross-spectral analysis lead to highly interesting but as yet unanswered speculations. An appendix lists the relations between the cross-spectral densities of the more frequently encountered wave properties. ·
Description: Technical Memorandum
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:Technical Memorandum

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