平面三次曲线的双圆弧逼近的法向误差

The Normal Direction Error of the Approximation Plane Cubic Curve with Biarc

主要介绍用双圆弧逼近船型曲线(平面三次分段曲线)时所产生的法向误差,并用初等方法化简和估计了法向误差,此法直观、简明,易于计算,双圆弧逼近的误差精度也能满足放样要求。因此,此法在数学船体放样、数控加工及工程图纸的绘制中有一定的应用价值。

This paper introduced mainly the normal direction error which was gained when the biarc approximation of the ship line-plane cubic piecewise curve. The elementary method was used in the error of calculation and estimation. The method was direct and simple. The precision of biarc approximation could be satisfied with ship lofting. So, this method was useful in the ship lofting, numerical control and the drawing of engineering.