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首页> 外文期刊>Chinese journal of aeronautics >Intelligent NURBS Interpolator Based on the Adaptive Feedrate Control
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Intelligent NURBS Interpolator Based on the Adaptive Feedrate Control

机译：基于自适应进给率控制的智能NURBS插补器

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摘要

To satisfy the need for high-speed and high-accuracy machining of NURBS curve. Firstly the form of NURBS curve is analyzed and Talor's expansion of the parameter u with respect to time t is used to obtain the algorithm of the first order approximation interpolation. Secondly, based on the algorithm of the controlled chord error interpolator, an intelligent interpolation algorithm of the adaptive feedrate control is proposed. According to the actual machining capacity of machine tools, this algorithm uses look-ahead method, which dispenses with the complicated computation of the end point estimation of NURBS curve, to analyze the curve segment required by the maximum deceleration distance. Thus, the feedrate could decrease in advance and vary with the curvature and the variation ratio of curvature, which makes machining motion quite smooth. Not only could high accuracy and fine surface quality be achieved during high-speed machining, but also the overload of cutter tools is avoided on corners. Finally, in order to facilitate the calculation of interpolation, the dynamic matrix representation and efficient algorithm of curvature computation of the NURBS curve are presented.
机译：满足对NURBS曲线进行高速，高精度加工的需要。首先分析了NURBS曲线的形式，并利用参数u相对于时间t的Talor展开来获得一阶近似插值的算法。其次，基于受控弦误差插值器算法，提出了一种自适应进给率控制的智能插值算法。该算法根据机床的实际加工能力，采用前瞻性方法，免去了NURBS曲线终点估计的复杂计算，分析了最大减速距离所需的曲线段。因此，进给速度可能会提前降低，并随曲率和曲率变化率而变化，从而使加工运动相当平稳。在高速加工过程中，不仅可以实现高精度和优良的表面质量，而且还可以避免刀具在转角处过载。最后，为方便插值计算，提出了NURBS曲线的动态矩阵表示和曲率计算的高效算法。

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