Deriving Generic Transformation Matrices for Multi-Axis Milling Machine
This paper proposes a new method to find the equations
of transformation matrix for the rotation angles of the two rotational
axes and the coordinates of the three linear axes of an orthogonal
multi-axis milling machine. This approach provides intuitive physical
meanings for rotation angles of multi-axis machines, which can be
used to evaluate the accuracy of the conversion from CL data to NC
data.
[1] Y. Takeuchi, T. Watanabe, "Generation of 5-Axis control collision-free
tool path and post-processing for NC data,” Annals of the ClRP. 41/1
(1992) 539-542.
[2] A. Rüegg, P. Gygax, "A generalized kinematics model for three to five
axis milling machines and their implementation in a NC,” Annals of the
ClRP. 41/1 (1992) 547-550.
[3] S. Sakamoto, I. Inasaki, "Analysis of generating motion for five-axis
machining centers,” The Japan Society of Mechanical Engineers. 59/561
(1993) 1553-1559.
[4] R. S. Lee and C. H. She, "Developing a postprocessor for three types of
five-axis machine tools,” International Journal of Advanced
Manufacturing Technology. 13 (1997) 658-665.
[5] R. Md. Mahbubur, J. Heikkala, K. Lappalainen, J. A. Karjalainen,
"Positioning accuracy improvement in five axis milling by post
processing,” International Journal of Machine Tools and Manufacture.
37/2 (1997) 223-236.
[6] Y.H. Jung, D.W. Lee, J.S. Kim, H.S. Mok, "NC post-processor for 5-axis
milling machine of table-rotating / tilting type,” Journal of Materials
Processing Technology. 130-131 (2002) 641-646.
[7] C. H. She, C. C. Chang, "Development of a five-axis postprocessor
system with a nutating head,” Journal of Materials Processing
Technology. 187-188 (2007) 60-64.
[8] C. H. She, Z. T. Huang, "Postprocessor development of a five-axis
machine tool with nutating head and table configuration,” International
Journal of Advanced Manufacturing Technology. 38 (2008) 728-740.
[9] M. Rahman, J. Heikkala, K. Lappalainen, "Modeling, measurement and
error compensation of multi-axis machine tools. Part I: theory,”
International Journal of Machine Tools and Manufacture. 40 (2000)
1535-1546.
[10] L. M. Zheng, H. Lin, R. L. Gai, Postprocessor based on generalized
kinematics model of five-axis machine tools,” International Journal of
Computer Integrated Manufacturing Systems. 16/5(2010) 1006-1011.
[11] J. Andres, L. Gracia, J. Tornero, "Inverse kinematics of a redundant
manipulator for cam integration. an industrial perspective of
implementation,” Proceedings of the 2009 IEEE International
Conference on Mechatronics, Malaga, Spain, April 14-17, 2009.
[12] F. Nagata, Y. Kusumoto and K. Watanabe, "Intelligent machining system
for the artistic design of wooden paint rollers,” Robotics and
Computer-Integrated Manufacturing. 25 (2009) 680-688.
[13] C. H. She, R. S. Lee, "A postprocessor based on the kinematics model for
general five-axis machine tools,” Journal of Manufacturing Processes.
2/2 (2000) 131-141.
[14] S. Ashmall, "Post-processors for general purpose N.C. processor,
Proceedings of the Institution of Mechanical Engineers, 186/25 (1969)
551-556.
[15] C. H. She, C. C. Chang, "Design of a generic five-axis postprocessor
based on generalized kinematics model of machine tool,” International
Journal of Machine Tools and Manufacture. 47 (2007) 537-545.
[1] Y. Takeuchi, T. Watanabe, "Generation of 5-Axis control collision-free
tool path and post-processing for NC data,” Annals of the ClRP. 41/1
(1992) 539-542.
[2] A. Rüegg, P. Gygax, "A generalized kinematics model for three to five
axis milling machines and their implementation in a NC,” Annals of the
ClRP. 41/1 (1992) 547-550.
[3] S. Sakamoto, I. Inasaki, "Analysis of generating motion for five-axis
machining centers,” The Japan Society of Mechanical Engineers. 59/561
(1993) 1553-1559.
[4] R. S. Lee and C. H. She, "Developing a postprocessor for three types of
five-axis machine tools,” International Journal of Advanced
Manufacturing Technology. 13 (1997) 658-665.
[5] R. Md. Mahbubur, J. Heikkala, K. Lappalainen, J. A. Karjalainen,
"Positioning accuracy improvement in five axis milling by post
processing,” International Journal of Machine Tools and Manufacture.
37/2 (1997) 223-236.
[6] Y.H. Jung, D.W. Lee, J.S. Kim, H.S. Mok, "NC post-processor for 5-axis
milling machine of table-rotating / tilting type,” Journal of Materials
Processing Technology. 130-131 (2002) 641-646.
[7] C. H. She, C. C. Chang, "Development of a five-axis postprocessor
system with a nutating head,” Journal of Materials Processing
Technology. 187-188 (2007) 60-64.
[8] C. H. She, Z. T. Huang, "Postprocessor development of a five-axis
machine tool with nutating head and table configuration,” International
Journal of Advanced Manufacturing Technology. 38 (2008) 728-740.
[9] M. Rahman, J. Heikkala, K. Lappalainen, "Modeling, measurement and
error compensation of multi-axis machine tools. Part I: theory,”
International Journal of Machine Tools and Manufacture. 40 (2000)
1535-1546.
[10] L. M. Zheng, H. Lin, R. L. Gai, Postprocessor based on generalized
kinematics model of five-axis machine tools,” International Journal of
Computer Integrated Manufacturing Systems. 16/5(2010) 1006-1011.
[11] J. Andres, L. Gracia, J. Tornero, "Inverse kinematics of a redundant
manipulator for cam integration. an industrial perspective of
implementation,” Proceedings of the 2009 IEEE International
Conference on Mechatronics, Malaga, Spain, April 14-17, 2009.
[12] F. Nagata, Y. Kusumoto and K. Watanabe, "Intelligent machining system
for the artistic design of wooden paint rollers,” Robotics and
Computer-Integrated Manufacturing. 25 (2009) 680-688.
[13] C. H. She, R. S. Lee, "A postprocessor based on the kinematics model for
general five-axis machine tools,” Journal of Manufacturing Processes.
2/2 (2000) 131-141.
[14] S. Ashmall, "Post-processors for general purpose N.C. processor,
Proceedings of the Institution of Mechanical Engineers, 186/25 (1969)
551-556.
[15] C. H. She, C. C. Chang, "Design of a generic five-axis postprocessor
based on generalized kinematics model of machine tool,” International
Journal of Machine Tools and Manufacture. 47 (2007) 537-545.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:67599", author = "Alan C. Lin and Tzu-Kuan Lin and Tsong Der Lin", title = "Deriving Generic Transformation Matrices for Multi-Axis Milling Machine", abstract = "This paper proposes a new method to find the equations
of transformation matrix for the rotation angles of the two rotational
axes and the coordinates of the three linear axes of an orthogonal
multi-axis milling machine. This approach provides intuitive physical
meanings for rotation angles of multi-axis machines, which can be
used to evaluate the accuracy of the conversion from CL data to NC
data.
", keywords = "CAM, multi-axis milling machining.", volume = "8", number = "7", pages = "1249-5", }
