摘要
水下拖缆物理参数不均匀会影响拖缆的动力特性,研究非均匀拖缆的参数变化对拖缆动力特性的影响有一定的工程实际意义。建立了拖曳系统运动的三维数学模型,推导出了水下非均匀拖缆的稳态运动控制方程,在首尾两端加上相应的定解条件,直接求得或使用嵌套二分法求得非均匀拖缆在端点的初始值,进而求解稳态动力学方程。借助文献中的拖缆—海底拖车系统算例,通过计算结果的对比,验证了数学模型及计算方法的正确性。通过四阶龙格库塔法进行数值仿真计算,得到了稳态解,分析了非均匀拖缆自身物理参数变化对缆绳系统稳态运动的影响。结果表明,非均匀拖缆的切向阻力系数、法向阻力系数、直径和密度变化会影响稳态缆形和张力分布,影响的程度各不相同。最后给出了两个尾拖船系统非均匀拖缆的稳态运动算例。
The non-uniform physical parameters of the underwater towing cables will affect the dynamic characteristics of the towing cables.It is of practical engineering significance to study the influence of the parameter changes of the non-uniform towing cables on the dynamic characteristics of the towing cables.A three-dimensional mathematical model of the motion of the towing system is established,and the steady-state motion control equations of the underwater non-uniform towing cables are deduced.The corresponding fixed solution conditions are added at the head and tail ends,and the initial values of the cable at the end point are obtained directly or by the nested bisection method,so as to solve the steady-state dynamic equations.With the help of the example of the towing cable-submarine trailer system in the literature,the correctness of the mathematical model and the calculation method is verified by the comparison of the calculation results.Numerical simulation is carried out by the fourth-order Runge-Kutta method,and the steady-state solution is obtained.The results show that the tangential drag coefficient,normal drag coefficient,diameter and density variation of the non-uniform towing cables affect the steady-state cable shape and tension distribution to varying degrees.Finally,two steady-state motion calculation examples of the non-uniform towing cables in stern tugboat systems are given.
作者
周磊
何景异
陈科
尤云祥
冯爱春
ZHOU Lei;HE Jingyi;CHEN Ke;YOU Yunxiang;FENG Aichun(State Key Laboratory of Ocean Engineering,Shanghai Jiao Tong University,Shanghai 200240,China;School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiao Tong University,Shanghai 200240,China;Yazhou Bay Institute of Deepsea Science and Technology,Shanghai Jiao Tong University,Sanya 572024,China;Wuhan 2nd Ship Development&Design Institute,Wuhan 430010,China)
出处
《海洋工程》
CSCD
北大核心
2023年第3期146-156,共11页
The Ocean Engineering
基金
三亚崖州湾科技城科技专项资助项目(SCKJ-JYRC-2022-38)。
关键词
非均匀拖缆
稳态分析
龙格库塔法
数值仿真
参数分析
non-uniform towing cables
steady state analysis
Runge-Kutta method
numerical simulation
parameter analysis
