ABSTRACT
This paper describes a state-space implementation of a time-domain model using the Cummins equation. The unknown parametric matrices of the state-space model are determined via system identification by employing the realization theory method, based on the impulse response functions K(t). The errors in the calculation of K(t) are investigated by considering a truncated heaving cylinder, and comparisons are made with published results. The time-domain model is also validated with experimental data by investigating the response of a barge linked to a jacket and fender system during a float-over operation. The applicability of the approach to analyzing nonlinear problems is illustrated by considering the complex dynamic behaviour of the barge when restrained by cubic springs.
Keywords: Time-domain model, Cummins equation, State-space model, Realization theory, Dynamic analysis.