Abstract:

The paper established roots rotor digital model.In the roots rotor manufacturing process,cubic NURBS spline interpolation was used instead of the usual micro-straight line fitting interpolation,and  roots rotor cycloidal cubic NURBS curve interpolation algorithm was studied.For  solving  NURBS  adaptive speed
control's speed  fluctuation,S-curve acceleration and deceleration control
 was used for the feed rate re-planning.By MATLAB software
cycloidal segment cubic NURBS interpolation algorithm was simulated and compared
with micro-straight  line fitting interpolation algorithm.Finally CNC  machining  tests
verified  cubic NURBS interpolation algorithm and compared with micro-straight line fitting interpolation algorithm by CNC machine
tools.The results prove that cubic NURBS interpolation algorithm has faster speed and higher accuracy.

Key words: roots rotor;cubic NURBS spline curve;micro-straight line;S-curve , acceleration/deceleration

摘要：

建立了腰轮转子数字化实体模型;提出了在腰轮转子加工制造过程中,采用三次NURBS样条曲线插补替代通常的微直线拟合插补;
研究了腰轮转子摆线段三次NURBS曲线插补算法;为了解决NURBS曲线自适应速度控制存在的速度冲击问题，采用S曲线加减速控制策略重新规划进给速度;应用MATLAB软件模拟摆线段三次NURBS样条曲线插补算法并与微直线拟合插补算法进行了比较;最后在数控机床上对三次NURBS样条曲线插补算法进行了数控加工验证并与微直线拟合插补算法进行了比较，结果证明NURBS样条曲线插补算法具有更快的速度和更高的精度。

关键词: 腰轮转子, 三次NURBS样条曲线, 微直线段, S曲线加减速