Optimize tool paths of flank milling with generic cutters based on approximation using the tool envelope surface

被引:63
作者
Gong, Hu [1 ,2 ]
Wang, Ning [3 ]
机构
[1] Tianjin Univ, State Key Lab Precis Measuring Technol & Instrume, Ctr MicroNano Mfg Technol, Tianjin 300072, Peoples R China
[2] Tianjin MicroNano Mfg Tech Co Ltd, TEDA, Tianjin 300457, Peoples R China
[3] SDR Engn Inc, Tallahassee, FL 32308 USA
关键词
5-axis machining; Flank milling; Side milling; Envelope surface; Approximation; 5-AXIS RULED SURFACE; GENERATION; ERROR;
D O I
10.1016/j.cad.2009.06.013
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
This paper presents a global optimization method to generate a tool path for flank milling free-form surfaces with a generic cutter based on approximation using the tool envelope surface. It is an extension of our previous work [Gong Hu, Cao Li-Xin, Liu Jian. Improved positioning of cylindrical cutter for flank milling ruled surfaces. Computer Aided Design 2005; 37:1205-13]. First, given initial tool path or tool axis trajectory surface, the grazing points of the tool envelope surface can be calculated. Second, the errors between the tool envelope surface and the designed surface along the normal direction of the tool envelope surface are calculated. Based on this new definition of error, an optimization model is established to get the global optimized tool axis trajectory surface. in order to simplify the calculation, two variants of this method based on the least square criterion are proposed to solve this model. Since this method is really based on the tool envelope surface, it can reduce the initial machining errors effectively. The proposed method can be used not only for cylindrical cutters and conical cutters, but also for generic cutters with a surface of revolution. In addition to ruled surfaces, it also can be used for machining non-ruled surfaces. Finally, several examples are given to prove its effectiveness and accuracy. The generated tool paths and calculated grazing points for test are available in supplementary files for the readers' convenience in verifying this work in different CAD/CAM systems. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:981 / 989
页数:9
相关论文
共 27 条
[1]   Tool path generation for five-axis NC machining using adaptive space-filling curves [J].
Anotaipaiboon, W ;
Makhanov, SS .
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2005, 43 (08) :1643-1665
[2]   Flank milling with flat end milling cutters [J].
Bedi, S ;
Mann, S ;
Menzel, C .
COMPUTER-AIDED DESIGN, 2003, 35 (03) :293-300
[3]   Accurate tool position for five-axis ruled surface machining by swept envelope approach [J].
Chiou, JCJ .
COMPUTER-AIDED DESIGN, 2004, 36 (10) :967-974
[4]  
CHU CH, 2005, J ADV MANUFACTURING, V29, P707
[5]  
CORNELIA M, 2004, COMPUT AIDED DESIGN, V35, P375
[6]   The CAM as the centre of gravity of the five-axis high speed milling of complex parts [J].
de Lacalle, LNL ;
Lamikiz, A ;
Muñoa, J ;
Sánchez, JA .
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2005, 43 (10) :1983-1999
[7]   Semidefinite programming for Chebyshev fitting of spatial straight line with applications to cutter location planning and tolerance evaluation [J].
Ding, Ye ;
Zhu, LiMin ;
Ding, Han .
PRECISION ENGINEERING-JOURNAL OF THE INTERNATIONAL SOCIETIES FOR PRECISION ENGINEERING AND NANOTECHNOLOGY, 2007, 31 (04) :364-368
[8]   Improved positioning of cylindrical cutter for flank milling ruled surfaces [J].
Gong, H ;
Cao, LX ;
Liu, H .
COMPUTER-AIDED DESIGN, 2005, 37 (12) :1205-1213
[9]  
GONG H, 2005, THESIS DALIAN U TECH
[10]  
GONG H, 2009, COMPUT AIDED DESIGN, DOI DOI 10.1016/J.CAD.2009.05