It can affect it by adding some loads due to reaction forces on the spinning shaft not normally seen on fixed foundations and also additional forces on the mounting bolts / locations due to mometum changes of the mass of the item. However, most of these are realtively small and providing you can tell the vendor what the maximum acceleration and velocities are in x, y and z plus any rolling motion, then they will be able to beef up the bearings say or the mounting frame to take account of it, in much the same way as you design for earthquakes, hence the seismic study noted above. The problem arrives if no one tells them and you end up with a bit of kit deisgned to use its mass weight only down and then gets subjected to motion in x and y and rips the mounting bolts off.
It shouldn't have any real affect on the speed of the rotating shaft as normally this is far higher than the movement of the FPSO
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