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首页> 外文期刊>Computer-Aided Design >Constrained design of simple ship hulls with B-spline surfaces
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Constrained design of simple ship hulls with B-spline surfaces

机译：具有B样条曲面的简单船体的约束设计

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This paper presents a mathematical method to define a ship hull based on numerical constraints directly related to geometric features of the hull surface and on naval architecture parameters that uniquely define a hull form. These geometric parameters have physical, hydrodynamic or stability implications from the design point of view. B-spline curves and surface representations were combined with a constrained approach to produce the final hull display. The presented method follows the traditional design principles of naval architecture, starting with a Sectional Area Curve (SAC) that controls buoyancy and a waterplane curve that ensures stability. A B-spline outline of these two curves is adopted and a nonlinear problem is solved to obtain their constrained definition that agrees with the geometric design parameters. Two boundaries are also introduced into the constrained definition that control the limits of the hull, the centre and deck lines, which are complemented with tangent values at these edges to gain local control of the hull. A net of curves or hull stations is created that matches the previously defined constraints. These curves follow an analytic expression that ensures that a given area, waterline breadth and initial tangent angle are obtained. This is an important advantage of the method because a hull form library or template is not necessary, but limit the type of ship hulls that can be attained. The method continues with a constrained B-spline fitting of points on the analytical curves that ensures the tangent angles and checks the distance from the points to the B-spline. A final lofting surface of the previous B-spline curves produces the hull surface.
机译：本文提出了一种数学方法，该方法基于与船体表面的几何特征直接相关的数值约束以及唯一定义船体形式的海军建筑参数来定义船体。从设计的角度来看，这些几何参数具有物理，流体动力学或稳定性方面的含义。将B样条曲线和曲面表示与约束方法结合起来以产生最终的船体显示。提出的方法遵循海军建筑的传统设计原则，从控制浮力的截面积曲线（SAC）和确保稳定性的水上飞机曲线开始。采用这两条曲线的B样条轮廓，并解决了非线性问题，以获得与几何设计参数一致的约束定义。约束定义中还引入了两个边界，它们控制着船体，中心线和甲板线的界限，并在这些边缘处用切线值进行补充，以获得对船体的局部控制。将创建一个与先前定义的约束匹配的曲线网或船体站。这些曲线遵循解析表达式，可确保获得给定的面积，水线宽度和初始切线角。这是该方法的重要优点，因为船体表单库或模板不是必需的，但会限制可以达到的船体类型。该方法继续进行分析曲线上点的约束B样条拟合，以确保切线角并检查从点到B样条的距离。先前的B样条曲线的最终放样曲面将生成船体曲面。

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