Vessel types: Checking RAOs

The check RAOs button on the vessel types form allows a visual check on the RAO data for either displacement RAOs or wave load RAOs. For a given draught and wave direction, it displays graphs (one for each vessel degree of freedom) showing how the RAO and phase vary with wave period.

There are 3 types of graph available:

The graphs initially show the RAOs for the currently selected draught and direction. You can switch to other draughts and directions, either by using the navigation buttons at the bottom of the form to step through the data or by selecting from the drop-down lists. You can change the scale of the graphs (double click on the graph and change the ranges of the axes).

Amplitude and phase graphs

These graphs provide a straightforward graphical representation of the RAO data as input on the vessel types data form for the given RAO origin. The amplitude or phase is represented on the $Y$ axis of the graph; on the $X$ axis you may choose period, frequency in rad/s or frequency in Hz.

Complex value graphs

The graphs represents RAOs as points in polar coordinates $(R,\phi)$, where

Figure: Complex value RAO graph

The graph depicts the RAO data for the given RAO origin, and has two parts:

Warning: The expected long-wave response limits calculated by OrcaFlex only apply to free-floating vessels. Also, the yaw response limit only applies to slender vessels that are long in their $x$-direction and narrow in their $y$-direction.

The purpose of the complex-value graph is help you check your RAO data – the curve should normally be reasonably smooth and tend towards the expected limit shown by the solid circle.

Non-dimensional amplitudes

For displacement RAOs, the non-dimensional values $R$ for surge, sway and heave are the vessel translation amplitudes divided by the wave amplitude. For roll, pitch and yaw displacement RAOs, $R$ is the rotational response normalised with respect to maximum wave slope – i.e. it is vessel rotation amplitude divided by the maximum wave slope.

For wave load RAOs, $R$ is found for both translation and rotation by normalising both the forces and moments applied to the vessel using wave amplitude.

Note: The complex-value graphs are drawn using the standard OrcaFlex conventions: positive surge is forward, positive sway is to port, positive heave is up, positive roll is starboard down, positive pitch is bow down and positive yaw is bow to port. These are not necessarily the same as the chosen vessel type RAO conventions.

This polar coordinates way of representing RAOs is rather more helpful than drawing separate graphs of amplitude and phase, since it presents all the information on a single graph and also the resulting curves are smooth, whereas phase graphs frequently show phase jumps.