东北大学学报(自然科学版) ›› 2003, Vol. 24 ›› Issue (3): 260-263.DOI: -

• 论著 • 上一篇    下一篇

虚轴机床磁力研磨刀具轨迹点的空间插补

孙奕澎;孟祥志;史家顺;蔡光起   

  1. 东北大学机械工程与自动化学院;东北大学机械工程与自动化学院;东北大学机械工程与自动化学院;东北大学机械工程与自动化学院 辽宁沈阳110004
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2003-03-15 发布日期:2013-06-23
  • 通讯作者: Sun, Y.-P.
  • 作者简介:-
  • 基金资助:
    国家“八六三”高技术计划项目 ( 863 5 12 3 0 0 7) ;;

3D space interpolations for magnetic abrasive finishing by virtual axis machine tool

Sun, Yi-Peng (1); Meng, Xing-Zhi (1); Shi, Jia-Shun (1); Cai, Guang-Qi (1)   

  1. (1) Sch. of Mech. Eng. and Automat., Northeastern Univ., Shenyang 110004, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2003-03-15 Published:2013-06-23
  • Contact: Sun, Y.-P.
  • About author:-
  • Supported by:
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摘要: 基于东北大学研制的三杆五坐标并联虚轴机床的双摆动刀具结构 ,建立数学模型 ,对磁力研磨的刀具轨迹点的空间直线插补、圆弧插补进行了研究 ,推导出插补点的计算公式·采用了一种新的圆弧分类方法 ,对不同种类的圆弧建立不同形式的辅助坐标系 ,通过坐标变换将原坐标系中圆弧插补转换为辅助坐标系中圆弧插补 ,利用辅助坐标系的不同设置及改变步长的正负号处理了圆弧过象限情况 ,解决了圆弧插补问题 ,达到了虚轴机床对自由曲面模具表面的磁力研磨的目的

关键词: 并联虚轴机床, 双摆动刀具, 磁力研磨, 直线插补, 圆弧插补, 自由曲面

Abstract: Based on the structure of the double-oscillation-axis-cutting-tool of the 3-legged 5-DOF virtual axis machine tool in parallel, the interpolation mathematic model was set up. Space-line interpolations and circular arc interpolation of the tool-path for magnetic abrasive finishing were researched. The interpolations formulae was derived. A new method was presented to classify the circular arcs. For different kinds of circular arcs, different auxiliary coordinate systems were set up. The circular arcs interpolations in the original coordinate system were transformed into the arcs interpolation in the auxiliary coordinate systems. The circular arcs quadrant transitions were solved by the application of different coordinate systems, positive stepper and negative stepper. The different circular arcs interpolations were solved. The virtual axis machine tool can be used in magnetic abrasive finishing for finishing the free form surface mould.

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