基于受力分析的系泊系统优化模型

Optimization Model of Mooring System Based on Force Analysis

  • 摘要: 为设计不同环境下的系泊系统,该文对2016年全国大学生数学建模竞赛A题中给出的系泊系统进行研究。对给定的系泊系统,建立姿态模型,得到了不同环境下系泊系统的姿态。当给定的系泊系统不满足工作要求时,建立重物球质量的单目标优化模型,确定了合适的重物球质量,从而调整系泊系统使之满足工作要求。在系泊系统的锚链型号、长度、重物球质量均不确定时,建立多目标优化模型,设计出了在给定环境下满足工作要求的最优设计方案。

     

    Abstract: The design of mooring system is an important problem in oceanic dynamics.In order to design the mooring system in different environments,the mooring system in the 2016 China Undergraduate Mathematical Contest in Modeling of the A question is studied.For a given mooring system,the attitude model of mooring system is established and the parameters of the mooring system in different environments are obtained.When the mooring system does not meet the working requirements of the work,a single objective optimization model of heavy ball quality is established.When the given system does not meet the requirements of the work,a single objective optimization model of heavy ball is established,and the appropriate ball weight si determined to adjust the mooring system to meet the requirements.When the cable type,length,and ball quality of a mooring system are uncertain,the multi-objective optimization model of mooring system design is established.As a result,the optimal design scheme is designed to meet the working requirements in a given environment.

     

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