基于集中质量法的水下拖曳缆索动力响应分析

摘要

To study the undersea towed cable system,equation of dynamic cable was deduced based on lumpmass model.Nonlinear dynamic response analysis of towed cable was carried out based on 4th order Runge-Kutta integration algorithm.The motion and force of towed cable were simulated by a computer program under the condition of ship moving forward with constant speed,transverse sinusoidal motion,heave and revolving moving.From comparison of numerical analysis and experiment,it indicates that lump-mass model is applicable under cable motion excitation of various boundary conditions.Simulation results of lump-mass model compare better with the test than the results of finite difference method.%以水下拖曳缆索系统为研究对象,建立拖曳缆索的集中质量模型,推导了水下拖曳缆索的动力学方程.采用四阶Runge-Kutta数值积分算法,对水下缆索进行非线性动力响应分析.编制了相应的计算机程序,模拟拖曳缆索系统在匀速直航、横向运动、升沉运动、回转运动条件下,缆索的运动姿态及受力情况.数值分析结果与实验对比表明,集中质量模型对缆索在各种边界条件下的运动激励均有较好的适应性.相比基于有限差分法的数值结果,集中质量模型与实验结果吻合更好.