For pure sway test,
Recalling the mathematic models for pure sway test,
and the pure sway motion parameters,
Plug the motion parameters into the mathematic models:
where,
For pure sway X, Y, N time histories,
apply the Fourier integral equation such as
where n = 1, 2, or 3, and T = 2π/ω.
Hydrodynamic derivatives can be evaluated by using either the 'Multiple-Run' or 'Single-Run' method as below:
Hydrodynamic derivatives are evaluated by curve fitting the harmonic amplitudes data obtained from a multiple number of pure sway tests over a range of vmax values:
Then,
Solve the mathematic model equations for each hydrodynamic derivatives,
and evaluate the hydrodynamic derivatives by using the harmonic amplitudes data from a single run of pure sway test (i.e., for a specific vmax case)
