Sphere NURBS curve design and optimization of tool orientations in five-axis machining

被引：0
|
作者：
Zhang X. [1 ]
Zhu L. [1 ]
Ding H. [1 ]
Zhao C. [2 ]
机构：
[1] School of Mechanical Engineering, Shanghai Jiaotong University
[2] Modern Manufacture Engineering Center, Heilongjiang University of Science and Technology
来源：
Jixie Gongcheng Xuebao/Journal of Mechanical Engineering | 2010年 / 46卷 / 17期
关键词：
Interpolation and optimization; Rational motion; Sphere NURBS curve; Tool orientation;
D O I：
10.3901/JME.2010.17.140
中图分类号：
学科分类号：
摘要：
The motion of tool orientation is expressed in the frame of rational motion based on the parameterization of rigid body displacement with quaternion. With the identity of tool orientation points and the points on unit sphere, the 1-1 mapping from points on unit sphere to elements of quaternion space is constructed. Thus the problem of interpolation of discrete tool orientation is transformed to that of interpolatory curve design in quaternion space. The obtained NURBS curve has the same mathematical expression as that in Euclidean 3-dimension space, and as a result it can be inputted directly to some CNC system with double-NURBS interpolator. Least square method based on the quaternion space metric is applied to the tool orientations optimization. When the optimized tool orientation is used for milling, the overcut is reduced. © 2010 Journal of Mechanical Engineering.
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页码：140 / 144
页数：4
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