A derivation of high-frequency asymptotic values of 3D added mass and damping based on properties of the Cummins' equation

Perez, Tristan & Fossen, Thor I. (2008) A derivation of high-frequency asymptotic values of 3D added mass and damping based on properties of the Cummins' equation. Journal of Maritime Research, 5(1), pp. 65-78.

View at publisher (open access)

Abstract

This brief paper provides a novel derivation of the known asymptotic values of three-dimensional (3D) added mass and damping of marine structures in waves. The derivation is based on the properties of the convolution terms in the Cummins's Equation as derived by Ogilvie. The new derivation is simple and no approximations or series expansions are made. The results follow directly from the relative degree and low-frequency asymptotic properties of the rational representation of the convolution terms in the frequency domain. As an application, the extrapolation of damping values at high frequencies for the computation of retardation functions is also discussed.

Impact and interest:

Citation counts are sourced monthly from Scopus and Web of Science® citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

ID Code: 70802
Item Type: Journal Article
Refereed: Yes
ISSN: 1697-4840
Divisions: Current > Schools > School of Electrical Engineering & Computer Science
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2008 SEECMAR
Deposited On: 30 Apr 2014 23:56
Last Modified: 09 Jun 2014 23:56

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page