Identification of a response amplitude operator for ships
Giovanni A. Bonaschi, Olena Filatova, Carlo Mercuri, Adrian Muntean, Mark A. Peletier, Volha Shchetnikava, Eric Siero, Iason Zisis
At the European Study Group Mathematics with Industry 2012 in Eindhoven, the Maritime Research Institute Netherlands (MARIN) presented the problem of identifying the response amplitude operator (RAO) for a ship, given input information on the amplitudes of the sea waves and output information on the movement of the ship. We approach the problem from a threefold perspective: a direct least-squares approach, an approach based on truncated Fourier series, and an approach using low-dimensional measures of the RAO. We give a few recommendations for possible further investigations.