Some Time and Frequency Relations in Random Waves
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 113, Issue 6
Abstract
Useful characteristics of time and frequency domain relations for ocean wave spectra are presented. It is shown that the vertical speed and acceleration of the water surface can be obtained from the moments of the spectral density function. The higher order moments are sometimes important, but they are very sensitive to the ordinates of the high‐frequency region of the spectra. Some guidance to cutoff frequencies for generating moments is given. It is shown that functions depending on the third and, particularly, the fourth moments of measured wave spectra are of doubtful use because of inherent inaccuracies.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Cartwright, D. E., and Longuet‐Higgins, M. S. (1956). “The statistical distribution of the maxima of a random function.” Proc. Royal Soc. of London, Series A 237, 212–232.
2.
Cramer, H., and Ledbetter, M. R. (1967). Stationary and related stochastic processes. Wiley, New York, N.Y.
3.
Hudspeth, R. T., Nath, J. H., and Sollitt, C. K. (1981). “Digital to analog wave‐maker simulation.” Physical modeling in ocean engineering. R. A. Dalrymple, ed. (proceedings of an International Conference, held at Newark, Del.).
4.
Kinsman, B. (1965). Wind waves—their generation and propagation on the ocean surface. Prentice Hall, Inc., Englewood Cliffs, N.J., 375.
5.
Longuet‐Higgins, M. S. (1983). “On the joint distribution of wave periods and amplitudes in a random wave field.” Proc. Royal Soc. of London, Series A 389, 241–258.
6.
Rice, S. O. (1954). “Mathematical analysis of random noise.” Selected papers on noise and stochastic processes. N. Wax, ed., Dover Publications, Inc., New York, N.Y.
7.
Vanmarcke, E. H. (1972). “Properties of spectral moments with applications to random vibration.” J. Engrg. Mech. Div., ASCE, 98(2).
Information & Authors
Information
Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 113 • Issue 6 • November 1987
Pages: 672 - 683
Copyright
Copyright © 1987 ASCE.
History
Published online: Nov 1, 1987
Published in print: Nov 1987
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.