水流影响下系泊系统设计的数学模型  

Mathematical Model of Mooring System Design with Water Flow Impact Pressure

作　　者：李斐[1] 吕文[1] 李琴[1] 

机构地区：[1]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2017年第3期173-179,共7页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(61503318);山东省高校科研计划项目(J13LI06)

摘　　要：通过对系泊系统的受力分析和力矩平衡,对水流影响下的系泊系统形态建立了差分方程组模型.并分别在水速为0 m/s、1.0 m/s且与风力成0°、45°、90°和180°的情况下,确定了210节链环的Ⅱ型锚链的形态.最后利用该模型解决了给定条件下,锚链型号、长度和重物球质量的选择和确定问题,即系泊系统设计问题.给出了在海水速度最大1.5 m/s,风速最大36 m/s,水深16~18 m下锚链型号、长度和重物球质量的最优解.By analyzing the force and the moment balance of the system, we build a difference equation system for the mooring system＇ s shape with water flow impact pressure. We get the shape of the anchor chain when the water flow speed is 0 m/s, or 1.0 m/s with the angle to the wind force of degree 0, 45, 90 and 180 respectively. At last, we determine the type and the length of the anchor chain, the quality of the ball under some given conditions, and as an example, give our findings corresponding to the maximum water flow speed 1.5 m/s, the maximum wind speed 36 m/s and the depth of water 16 - 18 m.

关 键 词：系泊系统设计 差分方程组 多目标规划 

分 类 号：O29[理学—应用数学]