A study on adaptive NURBS interpolation points calculation with jerk-limited acceleration

Shujie Sun, Hu Lin, Liaomo Zheng
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引用次数: 2

Abstract

Feedrate adaptive interpolation algorithm for NURBS curve effectively reduces the chord error. In order to improve the machining quality and reduce the impact to the machining tools caused by the change of feedrate, it needs to control the fluctuation of the acceleration and jerk. In order to efficient and accurate calculate the interpolation points during the process of interpolation, through the analysis of the computation structure for B-spline, an algorithm and its calculation complexity is given for NURBS interpolation based on the sharing of the values of basis functions. Simulation results show that the algorithm effectively controls the fluctuation of the acceleration and jerk, improves the efficiency of interpolation calculation, and shortens the interpolation time.
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限跳加速度下NURBS插值点的自适应计算研究
NURBS曲线的进给速度自适应插补算法有效地减小了弦误差。为了提高加工质量,减少进给速度的变化对机床的影响,需要控制加速度和跳变的波动。为了在插补过程中高效、准确地计算插补点,通过对b样条计算结构的分析,给出了一种基于基函数值共享的NURBS插补算法及其计算复杂度。仿真结果表明,该算法有效地控制了加速度和抖动的波动,提高了插补计算的效率,缩短了插补时间。
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