Computation of response functions based on the frequency-domain solution

Guo, Chao (2009) Computation of response functions based on the frequency-domain solution. Masters thesis, Memorial University of Newfoundland.

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Abstract

Based on the Kramer-Kronig relations, the frequency-domain added mass and damping coefficients are transformed to the time-domain added mass and response function by applying a semi-analytical method (Cao, 2008) which has significant improvement over the conventional methods, such as the Fast Fourier Transform (FFT) method. In this thesis, with the assumption of infinite depth water, heave added mass and damping coefficients of a floating hemisphere, a Wigley hull and a Liquefied Natural Gas (LNG) carrier have been computed by using the Motion Analysis Program Suite (MAPS), a program based on the panel-free method for the accurate computation of wave-body interactions in the frequency-domain. Validation studies are presented by comparing the response function based on the frequency-domain solutions by a semi-analytical method with the solutions of Qiu (2001). The accuracy of the method is also demonstrated by comparing the recovery of added mass and damping based on the computed response functions.

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