导流缆拖曳系统准动态运动建模及仿真

为准确预报分析导流缆拖曳系统的宏观（整体）运动，同时为避免模型过于复杂致方程系数难以准确获取而显得没有实际意义，提出了一个准动态四自由度运动模型以描述导流缆的运动，并采用数值仿真研究方法分析其运动响应特性.根据导流缆微元运动特点，将其运动分解为3个动态平动运动自由度及1个稳态轴向转动运动自由度；并根据集中质量法基本思想，推导给出了具体的四自由度运动控制方程，较为完整地计入了缆张力、流体作用力、重力、浮力及各力矩的作用，并采用四阶龙格库塔方法积分求解方程.通过数值仿真计算，研究了导流缆拖曳系统在不同情况下的运动，并得到了一些有意义的运动响应特性.

Semi-Dynamic Modeling and Simulation Study of Underwater Faired Cable

This paper presented a 4-DOF semi-dynamic mathematical model for the dynamics of underwater faired cable, which is used to study the macroscopical dynamics through numerical simulation method. To model the faired cable’s dynamics suitably, its motions were analyzed and resolved into 3-DOF dynamic translational motions and 1-DOF steady state rotary motion about cable axis according to its kinematic characters, then the governing equations were developed based on the above and the principle of lumped parameter method. This model can account for cable weight, buoyancy, hydrodynamic forces as well as torsional moments, which is numerically solved by 4th order Runge-Kutta integration method. Some numerical examples were given to study its dynamics, and some useful conclusions were drawn.