The look-ahead function-based interpolation algorithm for continuous micro-line trajectories
The look-ahead function-based interpolation algorithm for continuous micro-line trajectories
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DOI：
10.1007/s00170-010-2975-x
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发表时间：
2011-05
期刊：
影响因子：
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通讯作者：
Chuan Shi;P. Ye
中科院分区：
文献类型：
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作者：
Chuan Shi;P. Ye
具有微米量级的连续微线段也用于在计算机数控（CNC）加工中逼近复杂轨迹。传统的线性插补是对微小线段进行单独处理。段的相当小的长度导致低的加工效率，并且频繁的加速和减速也减少了马达的寿命。为了解决这一问题，本文提出了一种基于前瞻函数的插值算法。从轨迹速度描述、速度预规划和速度规划三个方面阐述了基于前瞻的速度规划方法。通过进给速度规划功能，数控系统可以预测未来轨迹曲率的变化，从而自适应地决定是加快插补进给速度以提高加工效率，还是减慢进给速度以保证加工精度。此外，还对微线段轨迹的轨迹插补进行了分析，实现了每一步插补坐标的泛化。本文还研究了该算法在数控系统中的实现。最后，通过两个加工实验验证了该插补算法的精度和效率。
Continuous micro-line segments having micron magnitude are also used to approach complicated trajectories in computer numerical control (CNC) machining. Traditional linear interpolation processes micro-line segments separately. The rather small lengths of the segments result in low machining efficiency, and the frequent acceleration and deceleration also reduce the lifetime of the motor. To solve the problems, in this paper, we present an interpolation algorithm that is based on the look-ahead function. The look-ahead-based feedrate planning is elaborated from the aspects of trajectory feedrate description, feedrate preplanning, and feedrate planning. With the function of feedrate planning, CNC systems can predict the variation of the curvature of the coming trajectory so that adaptively determining whether accelerates interpolation feedrate to enhance machining efficiency or decelerates the feedrate to guarantee the machining precision. In addition, the trajectory interpolation for micro-line segment trajectories is analyzed as well, which realizes the generalization of the coordinates for each interpolation step. The implementation of the proposed algorithm in our CNC system is also studied. Finally, two machining experiments are provided to verify the accuracy and efficiency of the proposed interpolation algorithm.