首页> 中文期刊> 《常州工学院学报》 >基于进给速度自适应控制的 NURBS 曲线智能插补的新算法

基于进给速度自适应控制的 NURBS 曲线智能插补的新算法

         

摘要

Based on the calculation method of characteristic analysis and NURBS curve interpolation pa-rameters on the NURBS curve and the controllable chord error algorithm,the article proposed a simple and practical self-adaptive interpolation algorithm for NURBS curve.The algorithm fully took into account the actual machining ability of curve by pre interpolation,and according to the maximum number of interpolation cycle for pre interpolation deceleration,the feed speed could slow down in advance and make machining feed rate adaptively change with the radius of curvature change rate,which made the machining movement more smooth and avoided the complex calculation required of determining the endpoint of curve.At last,the article gave a fast calculation method for computing three NURBS curve of dynamic matrix representation of inter-polation points and curvature.%通过对NURBS曲线的特点分析和NURBS曲线插补参数值求取方法的研究,在可控弦高误差算法的基础上,提出了一种简单而实用的NURBS曲线自适应插补算法。该算法充分考虑到机床的实际加工能力,对曲线段进行提前预插补,实现了加工进给速度自适应地随着曲率半径而变化,使加工运动更平滑,还避免了因加工曲线终点的判断而带来的复杂计算,并给出了快速求取插补点的3次NURBS曲线动态矩阵和曲线曲率的快速计算方法。

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