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Research on consecutive micro-line interpolation algorithm with local cubic B-spline fitting for high speed machining

机译:局部三次B样条拟合连续微线插补算法的高速加工研究

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To achieve high-speed and high-accuracy machining, look-ahead scheme and parametric interpolator have shown significant effect on interpolating micro-line blocks. On the one hand, look-ahead schemes have been integrated in many computer numerical control (CNC) systems to alleviate the frequent start/stop motion and achieve a higher feedrate. However, the unsmooth speed at the segment junctions cannot be avoided entirely due to the discontinuous nature of the linearized-segmented contour. On the other hand, parametric interpolator has been proposed to overcome the shortcomings of the linear/circular interpolator. But, it is difficult to fit the blocks into parametric curves on-line. In this paper, a local cubic B-spline fitting algorithm with real-time look-ahead scheme is proposed for consecutive micro-line blocks interpolation. First, the consecutive micro-line blocks, which satisfy the bi-chord error constraint, are fitted into a C1 continuous cubic B-spline curve. Second, machining dynamics and tool path contour constrains are taken into consideration. Third, an optimal look-ahead scheme is proposed to generate the optimal feedrate profile. Simulation and experiment are performed in real-time environment to verify the effectiveness of the proposed method. Compared with the conventional interpolation algorithm, the proposed algorithm reduces the machining time by 70%.
机译:为了实现高速,高精度的加工,前瞻方案和参数内插器已对内插微线块产生了显着影响。一方面,先行方案已集成到许多计算机数控(CNC)系统中,以减轻频繁的启动/停止运动并获得更高的进给率。但是,由于线性化分段轮廓的不连续性,无法完全避免分段交点处的不平滑速度。另一方面,已经提出了参数内插器以克服线性/圆形内插器的缺点。但是,很难将这些块在线拟合为参数曲线。针对连续的微线块插值,提出了一种具有实时超前方案的局部三次B样条拟合算法。首先,将满足双弦误差约束的连续微线块拟合到C 1 连续三次B样条曲线中。其次,要考虑加工动力学和刀具路径轮廓约束。第三,提出了一种最佳预读方案来生成最佳进给率曲线。在实时环境中进行了仿真和实验,验证了所提方法的有效性。与传统的插值算法相比,该算法减少了70%的加工时间。

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