母船垂荡运动下拖缆响应研究

基于弯矩平衡方程和有限元离散单元法建立拖缆离散动力学模型,通过对拖缆离散方程组线性化处理,将非线性动力学方程转化为关于求解角度的线性问题。设定缆绳初始形态,通过时间迭代对方程求解得到拖曳系统稳定运动形态。母船在海面会发生升沉运动,由于母船垂荡运动对水下拖缆的耦合影响,拖曳系统稳定形态受到破坏,拖缆受力发生改变,系统可能处于危险状态。考虑母船垂荡运动的耦合效应,通过MATLAB对拖曳系统进行仿真计算,得到拖缆的运动参数和受力响应情况,对拖曳系统在实际作业中提供参考。

Dynamic response of towed cables under heave motion of mother ships

The discrete cable dynamics model is established in this paper, the governing equations are based on the bending moment balance at nodes. By the discrete linearization processing, the nonlinear dynamics problem is transformed into linear equations about angle accelerations. The cable stable configuration is obtained by solving these linear equations with any initial state of the towed system. In the case of heave motion of the mother ship, the cable steady state will be disturbed and the towed forces will vary. Considering the impacts of random waves on the mother ship, the cable tension and motion are calculated by MATLAB simulation. The results can be references to the towed systems in real operations.