四元数球面Bézier样条插补算法的研究

Research on Quintic-quaternion Spherical Bézier Spline Interpolation Algorithm for 5-axis CNC System

为了简化五轴CNC数控系统中的刀具定向运动的编程工作,提出一种基于四元数球面Bézier样条插补算法.该算法根据建立的刀具运动的空间数学模型,实时插补计算出刀具路径点和刀具定向矢量.实验结果表明,该算法不仅保证了刀具平移运动和旋转运动的同步协调性,而且有效的提高了加工精度,满足了五轴高速高精的加工要求.

To simplify CNC programming of tool orientation for 5-axis CNC system, a interpolation algorithm based on quaternion spherical Bezier spline was proposed. By generating tool kinematics profiles,a tool location and orientation vector were obtained. Experiments show that this proposed algorithm not only can interpolate translations and rotations in a co-ordinated manner,but also a superior precision is improved. This proposed algorithm is suitable for 5-axis high-speed and high-precision machining.