NURBS流曲线造型新方法及其在船舶设计中应用
New NURBS stream curve modeling method and its application to ship design

DOI：10.7511/dllgxb201706003

 作者 单位 张彦儒,林焰,陆丛红,纪卓尚

针对当前流曲线造型方法仅被应用于已知型值点及其切矢的问题，在其他约束(面积、面积心、流场特征值)问题中的应用，以及与NURBS设计方法的结合仍有待发展研究的现状，将NURBS与流曲线造型技术相结合，提出了NURBS流曲线单元的概念以及在其他几何约束下，应用NURBS流曲线造型的新方法．该方法将待设计流曲线在已知切矢的型值点处分段以确定NURBS流曲线单元的个数，将NURBS流曲线单元控制参数的并集作为设计变量，将几何约束处理为曲线设计的目标函数，建立普适性的NURBS流曲线造型框架．该框架模型可用进化算法进行求解．通过设计实例，验证了该方法在相关曲线设计方面的可行性和有效性．

The stream curve modeling method has only been applied to the problems with data points and their tangent vectors being given. The application to the problems with other constraints such as area, centroid of area, the eigenvalue of the flow field, etc. and the integration with NURBS need more research and development. NURBS and stream curve modeling method are integrated and the concept of NURBS stream curve unit is proposed. Furthermore, a new NURBS stream curve modeling method based on other geometric constraints is proposed. In this method, the stream curve is segmented at the data points with the given tangent vectors, and the number of the NURBS stream curve cell is determined. The union sets of the controls parameter of the NURBS stream curve cell are designated as the design variables. The geometric constraints are regarded as the design objective function. The universal framework of NURBS stream curve modeling is built. This framework model can be solved by an evolutionary algorithm. The design instances indicate that this method is effective and feasible in the related curve design.