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

Title: A derivation of high-frequency asymptotic values of 3D added mass and damping based on properties of the Cummins' Equation
Creator: Pérez, T.; Fossen, T. I.
Relation: Journal of Maritime Research Vol. 5, Issue 1, p. 65-78
Relation: http://www.jmr.unican.es
Publisher: Spanish Society of Maritime Research
Resource Type: journal article
Date: 2008
Description: 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.
Subject: asymptotic values; marine structures; damping values; Cummins's Equation
Identifier: uon:5491
Identifier: http://hdl.handle.net/1959.13/43371
Identifier: ISSN:1697-4840
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