船舶操纵模拟器中的系缆张力模型  

Mathematical Model of Mooring Lines in Ship Handling Simulator

作　　者：孙霄峰[1] 尹勇[1] 张秀凤[1] 

机构地区：[1]大连海事大学,辽宁大连116026

出　　处：《中国航海》2007年第2期51-51,共1页Navigation of China

基　　金：国家重点基础研究发展计划“973”项目(2002CB312103)

摘　　要：建立了可适用于六个自由度船舶操纵运动数学模型的系缆张力计算模型。缆绳的伸长满足虎克定律，利用悬链线方程和虎克定律推导出的缆绳无应力长度的计算公式，根据计算出的缆绳无应力长度和缆绳的实际长度的对应关系，用试算法计算系缆张力；否则，忽略缆绳的自重，通过由缆绳的伸长率曲线图拟合的多项式来计算系缆张力，并分别计算了缆绳的水平张力和竖直张力。进行了缆绳破断强度的计算，并对缆绳是否超出安全负荷以及是否破断进行了判断。计算实例验证了模型的正确性和实用性。A mathematical model for calculating mooring line tension of 6-DOF ship maneuvering motion mathematical model has been established.If line elongation obeys Hooke's law,according to the relationship between the line's original length calculated by the formula from catenary equation and Hooke's law and its actual length,trial method can be used to calculate mooring line tension,otherwise by neglecting the weight of mooring line itself the line tension is calculated by a fitted polynomial obtained from line stress-strain curve.Line tension components in horizontal and vertical direction are also calculated.The calculation of line broken intensity is carried out,and then the judgement for line safety can be made.The correctness and practicability of the model are validated by examples.

关 键 词：船舶操纵模拟器 系缆张力模型 计算模型 无应力长度 虎克定律 破断强度 悬链线方程 

分 类 号：U666.158[交通运输工程—船舶及航道工程]