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Circular Interpolation Algorithms of 5-Axis Simultaneous CNC System
引用本文:ZHENG Kuijing~(1.2) SHANG BO~2 1.Mechanical Engineering College,Yanshan University,Qinhuangdao 066004,China 2.Research and Development Center,GSK CNC Equipment Co.,Ltd.,Guangzhou 510165,China. Circular Interpolation Algorithms of 5-Axis Simultaneous CNC System[J]. 武汉理工大学学报, 2006, 28(Z2)
作者姓名:ZHENG Kuijing~(1.2) SHANG BO~2 1.Mechanical Engineering College  Yanshan University  Qinhuangdao 066004  China 2.Research and Development Center  GSK CNC Equipment Co.  Ltd.  Guangzhou 510165  China
摘    要:Spatial circular arc can be machined conveniently by a 5-axis NC machine tool.Based on the data sampling method,circular interpolation in two-dimensional plane is discussed briefly.The key is to solve the problem of circular center ex- pressed in the workpiece coordinate system by means of the transformation matrix.Circular interpolation in three-dimensional space is analyzed in detail.The method of undetermined coefficient is used to solve the center of the spatial circle and the method of coor- dinate transformation is used to transform the spatial circle into the XY-plane.Circular arc in three-dimensional space can be ma- chined by the positional 5-axis machining and the conical surface can be machined by the continuous 5-axis machining.The velocity control is presented to avoid the feedrate fluctuation.The interpolation algorithms are tested by a simulation example and the inter- polation algorithms are proved feasible.The algorithms are applied to the 5-axis CNC system software.


Circular Interpolation Algorithms of 5-Axis Simultaneous CNC System
ZHENG Kuijing,SHANG Bo. Circular Interpolation Algorithms of 5-Axis Simultaneous CNC System[J]. Journal of Wuhan University of Technology, 2006, 28(Z2)
Authors:ZHENG Kuijing  SHANG Bo
Affiliation:1. Mechanical Engineering College,Yanshan University,Qinhuangdao 066004,China;Research and Development Center,GSK CNC Equipment Co.,Ltd.,Guangzhou 510165,China
2. Research and Development Center,GSK CNC Equipment Co.,Ltd.,Guangzhou 510165,China
Abstract:Spatial circular arc can be machined conveniently by a 5-axis NC machine tool.Based on the data sampling method,circular interpolation in two-dimensional plane is discussed briefly.The key is to solve the problem of circular center ex- pressed in the workpiece coordinate system by means of the transformation matrix.Circular interpolation in three-dimensional space is analyzed in detail.The method of undetermined coefficient is used to solve the center of the spatial circle and the method of coor- dinate transformation is used to transform the spatial circle into the XY-plane.Circular arc in three-dimensional space can be ma- chined by the positional 5-axis machining and the conical surface can be machined by the continuous 5-axis machining.The velocity control is presented to avoid the feedrate fluctuation.The interpolation algorithms are tested by a simulation example and the inter- polation algorithms are proved feasible.The algorithms are applied to the 5-axis CNC system software.
Keywords:Index Terms-Circular interpolation  5-axis CNC
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