A Non-Linear Mathematical Model of Higher Order for Strong Parametric Resonance of the Roll Motion of Ships in Waves
Tóm tắt
Non-linear equations of ship motions in waves describing the couplings between heave, roll and pitch are investigated. A third order mathematical model is introduced, aimed at describing strong parametric excitation associated with cyclic changes in the ship restoring characteristics. A derivative model is employed to describe the coupled restoring actions up to third order. Non-linear coupling coefficients are derived in terms of hull form characteristics. In the present investigation, experimental results corresponding to excessive motions of a transom stern fishing vessel in head seas are compared to numerical simulations obtained from the derived third order non-linear mathematical model. It is shown that this enhanced model gives good results and a better comparison with the experiments than a second order model.
Tài liệu tham khảo
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