Abstract
This paper presents an algorithm for improving the interpolation accuracy in turning operations. The parts considered are formed by revolving a free-form profile which is implemented in terms of Bézier formulation around a center linear axis. The demand for the manufacturing of such geometric shapes is frequently met in parts produced by casting and forging methods. The method employs a computer numerical control (CNC) turning machine and is based on the locus tracing concept. The algorithm described utilizes a real-time CNC interpolator providing the highest possible accuracy of which the turning machine is capable. The whole machining task can be programmed as a canned cycle, essentially extending the feature generating capabilities of the existing G70/G73 CNC turning fixed cycles.
Similar content being viewed by others
References
Bézier P (1972) Numerical control: mathematics and applications. Wiley, New York
de Casteljau P (1986) Shape mathematics and CAD. Kogan Page, London
Choi BK (1991) Surface modelling for CAD/CAM. Elsevier, New York
Farin G (1997) Curves and surfaces for computer aided geometric design, 4th edn. Academic, Boston
Zhiming X, Jincheng C, Zhengjin F (2002) Performance evaluation of a real-time interpolation algorithm for NURBS curves. Int J Adv Manuf Technol 20(4):270–276
Zhang LB, You YP, He J, Yang XF (2010) The transition algorithm based on parametric spline curve for high-speed machining of continuous short line segments. Int J Adv Manuf Technol 52(1–4):245–254
Park J, Nam S, Yang M (2005) Development of a real-time trajectory generator for NURBS interpolation based on the two-stage interpolation method. Int J Adv Manuf Technol 26(4):359–365
Hacene A, Mekki A (2009) Interpolation by Bézier curves and NURBS strategies of machining of complex surfaces in CNC milling. AIP Conference Proceedings. doi:10.1063/1.3106499
Yau HT, Wang JB (2007) Fast Bézier interpolator with real-time lookahead function for high-accuracy machining. Int J Mach Tool Manuf 47(10):1518–1529
Choi YK, Banerjee A, Lee JW (2007) Tool path generation for free form surfaces using Bézier curves/surfaces. Comput Ind Eng 52(4):486–501
Lasemi A, Xue D, Gu P (2010) Recent development in CNC machining of freeform surfaces: a state-of-the-art review. Comput Aided Des 42(7):641–654
Quasada R (2005) Computer numerical control: machining and turning center. Prentice Hall, New Jersey, USA
Siller H, Rodriguez CA, Ahuett H (2006) Cycle time prediction in high-speed milling operations for sculptured surface finishing. J Mater Process Technol 174(1–3):355–362
Papaioannou S, Omirou S (1999) Motion generation as a locus tracing problem. Proceedings of the Patras/Greece 3rd International Symposium on Advanced Electromechanical Motion Systems, vol. II. pp. 1013–1019
Omirou S (2004) A CNC interpolation algorithm for boundary machining. Robot Comput Integr Manuf 20(3):255–264
Omirou S (2003) Space curve interpolation for CNC machines. J Mater Process Technol 141(3):343–350
Papaioannou SG, Omirou SL (1996) 3-Dimensional circular interpolation for CNC machines. J Manuf Sci Eng 118(2):274–277
Omirou S, Nearchou A (2009) An epitrochoidal pocket—a new canned cycle for CNC milling machines. Robot Comput Integr Manuf 25(1):73–80
Elber G, Lee IK, Kim MS (1997) Comparing offset curve approximation methods. IEEE Comput Graph Appl 17:62–71
Pham B (1992) Offset curves and surfaces: a brief survey. Comput Aided Des 24:223–229
Papaioannou S, Kiritsis D (1988) Computer aided manufacture of high precision CAMs. J Eng Ind 110:352–358
Andersson F (2003) Bézier and B-spline technology. M.Sc. Thesis, Umeâ Universitet. Available from: http://www.cs.umu.se/education/examina/Rapporter/461.pdf
Farouki RT, Manjunathaiah J, Yuan G (1999) G codes for the specification of Pythagorean-hodograph tool paths and associated feedrate functions on open architecture CNC machines. Int J Mach Tool Manuf 39:123–142
Lin R (2000) Real-time surface interpolator for 3-D parametric surface machining on 3-axis machine tools. Int J Mach Tool Manuf 40:1513–1526
Omirou S, Barouni A (2005) Integration of new programming capabilities into a PC-based milling machine controller. Robot Comput Integr Manuf 21(6):518–527
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Omirou, S.L., Rossides, S. & Lontos, A. A new CNC turning canned cycle for revolved parts with free-form profile. Int J Adv Manuf Technol 60, 201–209 (2012). https://doi.org/10.1007/s00170-011-3586-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-011-3586-x