繫泊船舶在浪流作用下之動態模擬

The Dynamic Simulation for a Moored Ship under the Effects of Wave and Current

In the paper, a mathematical model including the coupled motions of the ship and mooring cable is developed for simulating the dynamic behaviors of the ship mooring system. Because of the hydrodynamic coupling interaction of the wave, the current and the mooring cable, the analysis for the dynamic response of ship mooring system becomes complicated. The previously developed multi-steps shooting method incorporating with the 4(superscript th) order Runge Kutta method is therefore adopted here and successfully solves the corresponding two-end boundary value problem caused by the mooring cable. The dynamic simulations for six degrees of freedom of ship motions and the behaviors of the mooring cable are then calculated and the detailed analyses have also been made. The results indicate that the mathematical model developed here is physically reasonable and can be applied to predict the behaviors of the ship mooring system and may be regarded as a helpful tool for the designers of the related field. 在本文中，建立了一套可用以模擬繫泊船舶之動態行為之非線性數學模式，此模式包括了船舶與繫纜之偶合運動效應。由於波浪、洋流與繫纜的流體動力交互作用，使得船舶繫纜系統之動態分析變得相當複雜。此繫纜系統問題屬於兩端點邊界值問題、一般不易求解、在本文中利用多重射擊法結合四階朗奇庫塔數值解法來求得相關的六度船體運動與繫纜之動態模擬。由本文之結果顯示相當符合物理現象：故所發展之數學模式可以用來預測船舶繫泊系統之反應行為，也可提供相關設計者一項有助益的工具。