A Kinematic Model for Volumetric Error Estimation of a Special Purpose CNC Machine

Article Preview

Abstract:

This research reports on error identification and compensation of a special purpose CNC machine. The kinematic model of the machine was developed using rigid body kinematics and small angle approximation of the axes of the machine through homogenous transform matrices, and the equations describing the volumetric errors. The machine was calibrated to measure the axes errors, which were used in the kinematic model in order to determine compensation values. The model was evaluated by means of direct measurements of axis movements using a laser interferometer, as well as in cutting tests, where a large number of holes were drilled in plates and measured with a CMM. The results showed that the developed model achieved an average error reduction of 40%, for the X and Y axes.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

367-371

Citation:

Online since:

November 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] M. Simpson, I.A. Gorlach: Development of a Reconfigurable Machine Tool (International Conference on Competitive Manufacturing, Stellenbosch, South Africa 2010).

Google Scholar

[2] W. Estment, I.A. Gorlach and G.J. Wiens: Design of sub-systems of a reconfigurable machine tool (CAD/CAM Robotics and Factories of the Futures Conference, Pretoria, South Africa 2010).

Google Scholar

[3] Lv. C.F. Du ZC and M.S. Hong: Research on error modelling and identification of 3 axis CNC machines based on cross grid encoder measurement. Journal of Physics; Vol. 48 (2006), p.91.

DOI: 10.1088/1742-6596/48/1/017

Google Scholar

[4] C. Raksiri, adn M. Parnichkun: Geometric and force compensation in a 3-axis CNC milling machine. International Journal of CNC machines & Manufacture. Vol. 44 (2004), p.1283.

DOI: 10.1016/j.ijmachtools.2004.04.016

Google Scholar

[5] R. Ramesh, M.A. Mannan and A.N. Poo: Error compensation in CNC machines – a review Part I: geometric, cutting-force induced and fixture-dependent errors. International Journal of CNC machines & Manufacture. Vol. 40 (2000), p.1235.

Google Scholar

[6] Y. Wang, K.S. Moon, J.W. Sutherland, G. Zhang, Y. Zang and X. Chut: Error compensation of multi-axis manufacturing center. American Society for Precision Engineering. Vol 12 (1995), p.132.

Google Scholar

[7] J.H. Jung, J.P. Choi and S.J. Lee: Machining accuracy enhancement by compensating for volumetric errors of a CNC machine and on-machine measurement. Journal of Materials Processing Technology. Vol. 174 (2006), p.56.

DOI: 10.1016/j.jmatprotec.2004.12.014

Google Scholar

[8] G. Herman: Generalized geometric error correction in coordinate measurement. (5th Slovakian-Hungarian Joint Symposium on Applied Machine Intelligence and Informatics, 2007).

Google Scholar

[9] X.B. Chen, A. Geddam and Z.J. Yuan: Accuracy improvement of three axis CNC machining centres by quasi-static error compensation. Journal of Manufacturing Systems. Vol; 16(5) (1997), p.323.

DOI: 10.1016/s0278-6125(97)88463-4

Google Scholar

[10] A.C. Okafor and Y.M. Ertekin: Derivation of CNC machine error models and error compensation procedure for three axes vertical machining center using rigid body kinematics. International Journal of CNC machines & Manufacture. Vol 40. (2000).

DOI: 10.1016/s0890-6955(99)00105-4

Google Scholar

[11] H. Schwenke, W. Knapp, H. Haitjem, A. Weckenmann, R. Schmitt R, F. Delbressine. Geometric error measurement and compensation of machines –An update. CIRP Annuals – Manufacturing Technology. Vol 57 (2008): p.660.

DOI: 10.1016/j.cirp.2008.09.008

Google Scholar

[12] S. Yang, J. Yuan and J. Ni: Accuracy enhancement of a horizontal machining centre by real-time error compensation. Journal of Manufacturing Systems. Vol. 15(2) (1996), p.113.

DOI: 10.1016/0278-6125(96)82336-3

Google Scholar

[13] S. Chatterjee. An assessment of quasi-static and operational errors in NC CNC machines. Journal of Manufacturing Systems. Vol 16(1) (1997), p.59.

DOI: 10.1016/s0278-6125(97)88406-3

Google Scholar

[14] M. Simpson: Enhancing the Accuracy of a Low Cost Reconfigurable Machine Tool, Masters Dissertation, Nelson Mandela Metropolitan University, Port Elizabeth, (2010).

Google Scholar