中国机械工程 ›› 2010, Vol. 21 ›› Issue (15): 1788-1793.

• 机械基础工程 • 上一篇    下一篇

石雕椭圆形廓多轴联动磨削的数学模型

陈为旭;张济宇
  

  1. 福州大学,福州,350002
  • 出版日期:2010-08-10 发布日期:2010-09-19
  • 基金资助:
    福州大学科技发展基金资助项目(2005-XQ-06号)

Mathematic Model of Elliptic Curve to Grind Stone Sculpture with Multi-axis Control

Chen Weixu;Zhang Jiyu
  

  1. Fuzhou University, Fuzhou, 350002
  • Online:2010-08-10 Published:2010-09-19

摘要:

基于复杂型面的型值点,采用椭圆曲线法则,提出椭圆拟合算法,利用该算法来拟合石雕型面,得出雕像的椭圆曲线集合。控制磨削切片的回转角,使磨片的有效切削面为椭圆,通过五轴联动使磨片包络出石雕工件上的椭圆曲线,实现型面的快速精确加工。基于五轴联动数控磨削切机,设计出椭圆型面上磨削点的多轴运动控制轨迹,推导并建立了磨削切片与石雕工件相对位置的多轴联动的数学模型,给出了五轴联动的控制模式。测试结果表明,所提出的椭圆拟合算法、多轴联动数学模型及控制模式切实可行,能高效精确地实现石雕复杂型面的自动化磨削加工。

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Abstract:

The complex surfaces on a sculpture was fitted with elliptic curves in sets based on the surface nodal points and the elliptic fitting algorithm was presented. By controlling the rotating angle of the grinding disc so as to make the effective grinding surface in elliptic trace, the elliptic surfaces on the sculpture were ground in 5-aixs control rapidly and accurately. The control trace in 5-axis movement for the grinding point was designed, and the mathematic model for the multi-axis control was deduced and established and the control mode was also proposed. The actual grinding test indicates that the proposed elliptic fitting algorithm and the mathematic model for the multi-axis control and the control mode are feasible to grind complex surface on stone sculpture automatically.

Key words: stone sculpture;modeling;curve grinding;computer numerical control, multi-axis control

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