On the second-order slow drift force spectrum
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In this paper, it is shown that the slow drift force spectrum of a floating body, obtained from the exact quadratic transfer function, is flat in the low-frequency range of interest and can be written in the form SF( )=SF(0)+o( 2), where SF(0) can be computed from the known drift force coefficient in harmonic waves and the wave energy spectrum. It is also shown that a special and normally used form of Newman's approximation for the exact quadratic transfer function has an error of the form [1+0( 2) at low frequencies.
[1] D. Yue,et al. The complete second-order diffraction solution for an axisymmetric body Part 2. Bichromatic incident waves and body motions , 1990, Journal of Fluid Mechanics.
[2] J. N. Newman. Second-order, slowly-varying Forces on Vessels in Irregular Waves , 1974 .