• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International Journal of Computer Integrated Manufacturing >A real-time high-precision interpolation algorithm for general-typed parametric curves in CNC machine tools
【24h】

A real-time high-precision interpolation algorithm for general-typed parametric curves in CNC machine tools

机译：数控机床通用型参数曲线的实时高精度插补算法

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The machining accuracy of computer numerical control (CNC) machine tools largely depends on the interpolation algorithms implemented. In this paper, a real-time high-precision interpolation algorithm for a general-typed parametric curve is proposed. As with other time-partition interpolation algorithms, the linear motion trajectory (employed to approximate the real trajectory) in a sampling cycle is determined from the current position of the tool to another point (target point) on the target trajectory. To determine the target point in a sampling cycle, a neighbourhood interval containing the point is first determined, the target point is then iteratively approached by means of the bi-section or secant method for equation resolutions. Simulation results show that the order of magnitude of the maximum feedrate relative errors (the relative deviation of the computed feedrate from the desired one) is -8 or less, while the order of magnitude of the maximum chord errors in the unit of meter is -6 or less. The performance indices can be further improved with more computation iteration in each sampling cycle. The algorithm is general, and applicable to any smooth curve that can be formulated in parametric equations.
机译：计算机数控（CNC）机床的加工精度很大程度上取决于所实施的插补算法。提出了一种通用的参数曲线实时高精度插值算法。与其他时分插值算法一样，采样周期中的线性运动轨迹（用于逼近真实轨迹）是从工具的当前位置到目标轨迹上的另一个点（目标点）确定的。为了确定采样周期中的目标点，首先确定包含该点的邻域间隔，然后通过二分法或割线法迭代地逼近目标点以进行方程解析。仿真结果表明，最大进给率相对误差的数量级（计算出的进给率与所需进给率的相对偏差）为-8或更小，而最大弦误差的数量级为- 6以下。在每个采样周期中，可以通过更多的计算迭代来进一步提高性能指标。该算法是通用算法，适用于可以用参数方程式表示的任何平滑曲线。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号