船舶浮态计算的一种优化方法

求船舶空间浮态就是计算船舶在某种给定载况下的三个浮态参数,它归结为求解一个隐式非线性方程组.采用传统的逐次线性化方法迭代求解方程组计算较繁、工作量大,且不易编程.为此探讨了优化方法在船舶空间浮态计算中的应用.利用最小二乘法的思想,将原问题转化为相应的数学优化模型,采用惩罚函数法对其求解.该方法不需要计算船舶水线面面积、漂心和惯性矩等要素,计算结果准确、可靠,且易于编程实现.通过算例证实了该方法可行、适用.

Optimization method for ship's floating condition calculation

The ship's floating condition calculation aims at obtaining three floating condition parameters.It can be attributed to solving an implicit nonlinear equation group.Applying traditional gradual linearization method not only cost heavy and complicated calculation,but caused programming hardly.In this paper,the application of an optimization method to the calculation was studied.Importing the least square thought,an optimization model was constructed correspondingly and solved by SUMT method.With the given approach,calculations for the waterline plane's factors of a ship were not necessary any more comparing with the traditional method,which made the results more accurate and steady.The calculation results of a floating dock's floating condition show that the approach given here is practicable and adaptable.