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三次均匀B样条曲线高速实时插补研究
引用本文:赵彤,吕强,张辉,杨开明. 三次均匀B样条曲线高速实时插补研究[J]. 计算机集成制造系统, 2008, 14(9)
作者姓名:赵彤  吕强  张辉  杨开明
作者单位:清华大学,精密仪器与机械学系制造工程研究所,北京,100084;清华大学,精密仪器与机械学系制造工程研究所,北京,100084;清华大学,精密仪器与机械学系制造工程研究所,北京,100084;清华大学,精密仪器与机械学系制造工程研究所,北京,100084
基金项目:国家高技术研究发展计划(863计划)
摘    要:为满足复杂曲线高速和高精度的加工要求,研究了具有轨迹预读功能的三次均匀B样条曲线速度规划和插补算法.提出了"重叠拼接法",实现了相邻两条B样条曲线段的光滑连接;推导了插补钳制速度的计算公式,保证了加工精度,满足了系统的动态响应能力.在引入"规划单元"概念的基础上,将速度规划和插补设计成B样条曲线插值、规划单元划分、速度规划、规划单元插补四个并行计算的线程,解决了三次均匀B样条曲线高速加工的插补实时性问题.最后,在GT100数控系统中验证了算法的有效性.

关 键 词:高速加工  三次均匀B样条  插补  实时控制  加速度控制  预读速度规划  计算机数控系统

High-speed real-time interpolation of cubic uniform B-spline curve
ZHAO Tong,Lv Qiang,ZHANG Hui,YANG Kai-ming. High-speed real-time interpolation of cubic uniform B-spline curve[J]. Computer Integrated Manufacturing Systems, 2008, 14(9)
Authors:ZHAO Tong  Lv Qiang  ZHANG Hui  YANG Kai-ming
Affiliation:ZHAO Tong,LV Qiang,ZHANG Hui,YANG Kai-ming(Institute of Manufacturing Engineering,Department of Precision Instruments , Mechanology,Tsinghua University,Beijing 100084,China)
Abstract:To meet the requirements of the high-speed and high-precision machining of complicated curves,a feedrate planning and interpolation algorithm for the cubic uniform B-spline curve based on the look-ahead function was studied.In this algorithm,an overlapping combination method was proposed to realize the smooth connection between adjacent B-spline segments.The formula for calculating the maximum machining velocity was also presented to guarantee the machining precision and to dynamically respond to the system...
Keywords:high speed machining  cubic uniform B-spline  interpolation  real-time control  acceleration control  look-ahead feedrate planning  computer numerical control system  
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