TECHNICAL NOTES
Feb 19, 2004

Spectral Technique for Generating Gaussian Wave Packets

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 130, Issue 2

Abstract

This paper deals with the development of a spectral feedback control technique capable of generating precise Gaussian wave packets and incipient breaking waves at predetermined locations in a laboratory wave flume. The design of the system includes the development of algorithms to generate the mathematical equations that define the wave packets and the spectral control algorithm for continuously correcting the system frequency response characteristics. Descriptions of the mathematical model of the Gaussian wave packets and their corresponding frequency spectra are given, along with the procedure used for spectral feedback compensation, especially with regard to handling the phase. The results of comparing wave packets generated by open and closed loop control systems are discussed. Experimental results are also used to demonstrate the adequacy of the spectral feedback technique to accurately generate particular Gaussian wave packets with particular emphasis on the important role played by the phase in reconstruction of transient signals. In addition, a method for generating breaking waves is explained and the results of experiments presented. Using the technique developed, resultant breaking wave packets of similar shape can be repeatedly produced at a predetermined location along the flume.

Get full access to this article

View all available purchase options and get full access to this article.

References

Chakrabati, S. K., and Libby, A. R.(1988). “Further verification of Gaussian wave packets.” Appl. Ocean. Res., 10(1), 106–108.
Clauss, F. C., and Bergmann, J.(1986). “Gaussian wave packets—A new approach to sea keeping tests of ocean structures.” Appl. Ocean. Res., 8(4), 190–206.
Coulson, C. A. (1995). Waves, a mathematical account of the common types of wave motion, Oliver and Boyd Publishers, Edinburgh, U.K.
Davis, M. C., and Zarnick, E. E. (1964). “Testing ship models in transient waves.” Proc., 5th Symp. on Naval Hydrodynamics, National Academy of Sciences, Washington, D.C., 507–543.
Goda, Y. (1985). Random seas and design of maritime structures, Univ. of Tokyo Press, Tokyo.
Haritos, N. (1989). “Using the swept sine wave concept to determine basic system behaviour.” 9th Australasian Conf. on Coastal and Ocean Engineering, Institute of Engineers, Australia, 241–245.
Hua, L., and Gupta, M. (1995). Fuzzy logic and intelligent system, Kluwer Academic, Boston.
Hughes, S. A. (1993). Physical models and laboratory techniques in coastal engineering, Advance Series in Ocean Engineering, Vol. 7, World Scientific, Singapore.
Kinsman, B. (1965). Wind waves, their generation and propagation on the ocean surface, Prentice–Hall, Englewood Cliffs, N.J.
Takezawa, S. (1976). “Advanced experiment technique for testing ship models in transient water waves.” 11th Symp. on Naval Hydrodynamics, Parts 1 and 2 National Academy of Sciences, Washington, D.C.
Zadeh, L. A.(1973). “Outline of new approach to the analysis of complex systems and decision processes.” IEEE Trans. Syst. Man Cybern., 3(1), 28–44.

Information & Authors

Information

Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 130Issue 2March 2004
Pages: 104 - 108

History

Received: Jun 4, 2002
Accepted: Jun 10, 2003
Published online: Feb 19, 2004
Published in print: Mar 2004

Permissions

Request permissions for this article.

Authors

Affiliations

Tien Do
Former Research Student, School of Architectural, Civil and Mechanical Engineering, Victoria Univ. of Technology, P.O. Box 14428, Victoria MCMC 8001, Australia.
Geoffrey T. Lleonart
Honorary Professor, School of Architectural, Civil and Mechanical Engineering, Victoria Univ. of Technology, P.O. Box 14428, Victoria MCMC 8001, Australia.
Vincent Rouillard
Lecturer, School of Architectural, Civil and Mechanical Engineering, Victoria Univ. of Technology, P.O. Box 14428, Victoria MCMC 8001, Australia.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share