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首页> 外文期刊>The International Journal of Advanced Manufacturing Technology >Real-time variable feed rate NURBS curve interpolator for CNC machining
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Real-time variable feed rate NURBS curve interpolator for CNC machining

机译：实时可变进给率NURBS曲线插补器，用于CNC加工

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摘要

This paper presents a real-time control algorithm based on Taylor's expansion for implementing variable feed rate non-uniform rational B-spline (NURBS) curve interpolators using a digital signal processor for precision CNC machining. To efficiently compute the NURBS curve and its derivatives in realtime, an effective method is proposed. The variable feed rate NURBS curve interpolator can be used to realise the ACC/DEC before feed rate interpolation in which the ACC/DEC (acceleration/deceleration) planning on the feed rate command executes before the interpolation takes place, so that the path command errors caused by conventional ACC/DEC planning using the post feed rate interpolation can be effectively eliminated. To demonstrate the performance of the proposed algorithm, an X-Y table driven by two servomotors is controlled to track command paths represented by multiple blocks of NURBS curves. Experimental results verify the effectiveness of the proposed method.
机译：本文提出了一种基于泰勒展开的实时控制算法，该算法使用数字信号处理器来实现精密数控加工中的可变进给率非均匀有理B样条曲线（NURBS）曲线插值器。为了实时有效地计算NURBS曲线及其导数，提出了一种有效的方法。可变进给率NURBS曲线插值器可用于在进给率插补之前实现ACC / DEC，其中进给率命令上的ACC / DEC（加/减速）计划在插补发生之前执行，因此路径命令错误可以有效消除使用后进给速度插值的常规ACC / DEC规划引起的误差。为了证明所提出算法的性能，控制了两个伺服电机驱动的X-Y表，以跟踪由NURBS曲线的多个块表示的命令路径。实验结果证明了该方法的有效性。

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