面向螺旋铣削的叶身曲面重构的参数化方法

Parameterization Method in Reconstruction of Blade Surface for Spiral Milling

针对螺旋铣削中普通造型方法得到的叶身型面往往出现扭曲,严重影响螺旋铣削刀位轨迹的问题,提出了一种针对螺旋铣削的叶身曲面重构的参数化方法。该方法首先根据单条叶片截面线的特征,采用累加弦长参数化和等弧长参数化离散的方法,实现单条截面线的参数化,从而得到高质量的截面线。然后在此基础上,从叶身曲面的V向和U向对叶身曲面重新参数化。最后对截面线进行放样,实现叶身曲面的重构。试验结果表明叶身曲面质量较高,能够较好地满足螺旋铣削刀位轨迹的规划要求。

The distortion often appears in spiral milling by using ordinary modeling methods of blade. In order to figure out this kind of phenomenon, the parameterization methods of blade surface reconstruction for spiral milling are proposed. Firstly, according to the features of a single blade section line, accumulation of chord length parameterization method and equal arc length parameterization method are applied to realize parameterization of single blade section. The high quality blade section line can be obtained. And on this basis, blade surface is reparameterized from the V and U directions. Finally, recon- structed blade surface is obtained through parametric blade section lines. This method is proved practically and can obtain high quality blade surface. Then, the tool path of spiral milling can be well satisfied.