水下缆索运动建模与仿真分析方法  

Dynamic Modeling and Simulation Analysis of Underwater Cable

作　　者：张斌 刘延平 ZHANG Bin;LIU Yanping(No.710 R&D Institute,CSSC,Yichang 443000,China;Qingjiang Innovation Center,Wuhan 430076,China)

机构地区：[1]中国船舶集团有限公司第七一〇研究所,湖北宜昌443003 [2]清江创新中心,湖北武汉430076

出　　处：《数字海洋与水下攻防》2022年第3期218-224,共7页Digital Ocean & Underwater Warfare

摘　　要：水下缆索运动建模过程中出现低应力松弛状态、大弯曲或扭转形变等状态,必须精细划分空间离散微元与时域求解步长以描述缆索曲率变化,进而避免数值求解奇异,这种处理方法使得求解水下缆索运动响应效率极为低下,甚至可能出现数值积分过程中截断误差与舍入误差累加导致的计算错误,无法描述水下锚泊、拖曳等系统的真实状态。针对精确描述水下柔性缆索的弯曲、扭转等形变状态及其对运动系统数学模型的影响,采用三次样条插值方法构建水下缆索微元空间形态,对连续水下缆索进行非线性离散处理,通过Galerkin余量消除方法实现求解域内满足缆索微元空间运动方程要求,建立了包含弯矩、扭矩作用的水下缆索动态运动数学模型与求解方法。通过与理论数值计算数据及海上实验数据对比分析,验证了本模型的准确性,可为水下锚泊系留、水下拖曳等系统的工程应用提供一种高效设计方法。In the process of underwater cable motion modeling,there will be low stress relaxation,large bending or torsion and other deformations. Therefore,it is necessary to finely divide the spatial discrete micro-elements and the time domain solution step size to describe the cable curvature change and avoid numerical solution singularity. This processing method makes the solution of underwater cable motion response extremely inefficient,and may even cause calculation errors caused by the accumulation of truncation errors and rounding errors in the process of numerical integration,which makes it impossible to describe the real state of underwater mooring,towing and other systems. In order to accurately describe the bending,torsion and other deformation states of the underwater flexible cable and its influence on the mathematical model of the motion system,the cubic spline interpolation method is used to construct the micro-element space form of the underwater cable,and the continuous underwater cable is processed by nonlinear discrete processing. The motion equation of the cable micro-element in the domain is solved by the Galerkin margin elimination method,and the mathematical model and solution method of the dynamic motion of the underwater cable including the bending moment and torque are established. The accuracy of the model is verified by comparison with theoretical numerical calculation data and offshore experimental data,which can provide an efficient design method for the engineering application of underwater mooring,underwater towing and other systems.

关 键 词：海洋工程与技术 水下缆索 动态分析 加权余量法 模型仿真 

分 类 号：P75[天文地球—海洋科学]