船舶操纵模拟器中的系缆张力模型

建立了可适用于6个自由度船舶操纵运动数学模型的系缆张力计算模型。系缆的应变满足虎克定律,利用悬链线方程和虎克定律推导出的系缆无应力长度的计算公式,根据计算出的系缆无应力长度和系缆的实际长度的对应关系,用试算法计算系缆张力;否则,忽略系缆的自重,通过由系缆的应变曲线图拟合的多项式来计算系缆张力,并分别计算了系缆的水平张力和竖直张力。进行了系缆破断强度的计算,并对系缆张力是否超出安全负荷以及系缆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。

Mathematical Model of Mooring Lines in Ship Handling Simulator

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.