基于过控制顶点曲线的微线段过渡插补方法

Transition Interpolation Algorithm for Micro-line Segments Based on Curve through Control Points

针对微线段数控加工过程中的插补问题,为减小微线段数控加工中的速度波动,实现转接点的平滑过渡,提出过控制顶点曲线的过渡插补算法。首先构建微线段曲线的过渡矢量模型,根据基于特征多边形顶点的曲线模型的几何特性,构建过控制顶点曲线的过渡矢量模型,然后采用过控制顶点曲线过渡模型对微线段进行插补计算,根据加工误差计算控制顶点,确定约束速度并实时进行前瞻处理,最后通过实例进行了验证。实验结果表明,所提出的方法有效地提高了微线段转接速度,缩短了加工时间,实现了曲线的平滑过渡。

In order to reduce the velocity fluctuations and realize smoothing transition for machining of micro line segments,an interpolation algorithm was presented based on curve though control points.The curve transition vector model of micro-line segments was constructed.On the basis of geometric characteristics of curve model based on the characteristic polygon vertex,a vector model was proposed based on curve transition through control points.Interpolation of micro-line segments were calculated by using vector model based on the curve transition according to the machining errors and geometric characteristics of the curve,values of control vertex were calculated,the constraint velocity was determined,and real-time look-ahead control was processed.The proposed method was evaluated by an experiment,and experimental results demonstrate that the algorithm can effectively improve transition speed of the micro-line segments,shorten the machining time,and achieve smooth transition.