基于能量优化法的船型快速设计

Rapid Design for Hull Form Based on Energy Optimization

为使船型设计不再局限于母型的束缚,能够根据设计参数快速生成光顺的船体曲面,基于对船体曲线特征的分析,给出了具体的船型设计参数,提出了利用能量优化方法,以船体曲线的曲率平方和最小为优化目标,求解基于NURBS表达的、光顺的船体型线的设计方法。该方法可以在插值点、导矢、曲率、面积及形心等相关约束下调整船体曲线的基本形状特征,保证船体曲面的光顺性,实现船体曲面的NURBS表达。通过对某一条船的设计,证明了该设计方法的可行性和实用性。

The objective of this research is to find out a new rapid design method for obtaining fairness hull surface based on NURBS. Instead of depending on the conventional prototype, attentions are focused on extracting the design parameters which represent the characteristic of the hull. And the energy optimization method is proposed to get the expression of the hull line with NURBS, using design parameters as design variables and least sum of curvature square of hull curves as optimization object. The basic shape feature of hull curves can be adjusted under the constraint related to interpolation points, derivative vectors, curvatures, areas and centroid points. In this way, fairness of hull surface is ensured. One successful example has been given in order to verify the feasibility and practicality of this method.