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A methodology for systematic geometric error compensation in five-axis machine tools

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Abstract

To enhance the accuracy, an efficient methodology was developed and described for systematic geometric error correction and their compensation in five-axis machine tools. The methodology is capable of compensating the overall effect of all position-dependent and position-independent errors which contribute to volumetric workspace. It was implemented on a five-axis grinding machine for error compensation and for the check of its effectiveness. Error compensation algorithm was designed, and a routine was written in Matlab software. The developed technique and software are based on an error table which interprets the function of axis through cubic spline technique and synthesis modeling of a machine tool. Recursive compensation methodology was used to remove the machine errors from the actual tool path and inverse technique was implemented to find the corrected positions of prismatic and rotary joints. Moreover, it can convert the corrected tool paths into practical compensated NC codes. The generated, corrected and modified NC codes directly fed to the controller of a five-axis machine tool. Validation of the technique was preceded by repeated experimentation of measurement and through machining of typical standard workpieces with some additional specific features. Experimental results exhibit effective compensation and remarkable improvement in the parametric and volumetric-workspace accuracy of the five-axis machine tool.

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References

  1. The Cox report: Chapter 10 Manufacturing process. Available at: www.washingtonpost.com/wp-srv/politics/daily/may99/coxreport/chapter10.htm Washington Post, May 25, 1999. Accessed 20 Feb 2010

  2. Takeuchi Y, Watanabe T (1992) Generation of 5-axis control collision-free tool path and post processing for NC data Ann. CIRP 41(1):539–542

    Article  Google Scholar 

  3. Trankle H (1980) Effects of position errors in five-axis milling processes. Ph.D. Dissertation, Stuttgart University, Federal Republic of Germany

  4. Sprow EE (1993) Step up to five-axis programming? Manuf Eng 111(5):55–60

    Google Scholar 

  5. Chen JS (1995) Computer-aided accuracy enhancement for multi-axis CNC machine tool. Int J Mach Tools Manuf 35(4):593–605

    Article  Google Scholar 

  6. Hemann G (2007) Geometric error correction in coordinate measurement. Acta Polytechnica Hungarica 4(1):474–61

    Google Scholar 

  7. Barakat NA, Elbestawi MA, Spence AD (2000) Kinematic and geometric error compensation of a coordinate measuring machine. Int J Mach Tools Manuf 40(6):833–850

    Article  Google Scholar 

  8. Koliskor AS (1971) Compensating for automatic-cycle machining errors. Machines and Tooling No5 41(1):1–14

    Google Scholar 

  9. Okushima K, Kakino Y (1975) Compensation of thermal displacement by coordinate system correction. Ann CIRP 24(1):327–331

    Google Scholar 

  10. Busch K, Kunzmann H, Wäldele F (1985) Calibration of coordinate measuring machines, vol. 7(3). Butterworth & Co Ltd., London, UK. pp. 139–144

  11. Zhang G, Veale R, Charlton T, Borchardt B, Hocken R (1985) Error compensation of coordinate measuring machines. Ann CIRP 34(1):445–448

    Article  Google Scholar 

  12. Donmez MA, Blomquist DS, Hocken RJ, Liu CR, Barash MM (1986) A general methodology for machine tool accuracy enhancement by error compensation. Prec Eng 8(4):187–196

    Article  Google Scholar 

  13. Donmez MA, Lee. K, Liu CR, Barash, MM (1986) Real-time error compensation system for a computerized control turning center. In: Proc. IEEE Int. Conf on Robotics and Automation, San Francisco, CA

  14. Ferreira PM, Liu CR (1986) A contribution to analysis and compensation of the geometric error of a machining center. Ann CIRP 35(1):259–262

    Article  Google Scholar 

  15. Belforte G, Bona B, Canuto E, Donati F, Ferraris F, Gorini I, Morei S, Peisino M, Sartori S (1987) Coordinate measuring machines and machine tools self-calibration and error correction. Ann CIRP 36(1):359–364

    Article  Google Scholar 

  16. Anjanappa M, Anand DK, Kirk JA, Shyam S (1988) Error correction methodologies and control strategies for numerical control machining. Cont Meth Manuf Process ASME, DSC 7:41–49

    Google Scholar 

  17. Teeuwsen JWMC, Soons JA, Schellekens PHJ, Van der Wolf ACH (1989) A general method for error description of CMMs using polynomial fitting procedures. Ann CIRP 38(1):505–510

    Article  Google Scholar 

  18. Kurtoglu A (1990) The accuracy improvement of machine tools. Ann CIRP 39(1):417–419

    Article  Google Scholar 

  19. Balsamo A, Marques D, Sartori S (1990) A method for thermal-deformation correction of CMMs. Ann CIRP 39(1):557–560

    Article  Google Scholar 

  20. Bryan JB (1990) International status of thermal error research. Ann CIRP 39(2):645–656

    Article  MathSciNet  Google Scholar 

  21. Takeuchi Y, Idemura T (1992) Generation of five-axis control collision free tool path and post processing for NC-data. Ann CIRP 41(1):539–542

    Article  Google Scholar 

  22. Chen JS, Yuan JX, Ni J, Wu SM (1993) Real time compensation for time-variant volumetric errors on a machining center. Trans ASME 115:472–479

    Article  Google Scholar 

  23. Mou J, Liu C (1993) A methodology for machine tool error correction—an adaptive approach. ASME-WAM PED 64:69–81

    Google Scholar 

  24. Kruth JP, Vanherck P, De Jonge L (1994) Self-calibration method and software error correction for three-dimensional coordinate measuring machines using artifact measurement. Meas 14:157–67

    Article  Google Scholar 

  25. Kiridena VSB, Ferreira PM (1994) Kinematic modeling of quasi-static errors of three-axis machine centers. Int J Mach Tools Manuf 34(1):85–100

    Article  Google Scholar 

  26. Kiridena VSB, Ferreira PM (1994) Parameter estimation and model verification of 1st order quasistatic error model for machine centers. Int J Mach Tools Manuf 34:101–125

    Article  Google Scholar 

  27. Kiridena VSB, Ferreira PM (1994) Computational approaches to compensating quasistatic errors of three-axis machining. Int J Mach Tools Manuf 34:127–145

    Article  Google Scholar 

  28. Wang SM, Ehmann K F (1994) Compensation of geometric and quasi-static deformation errors of a multi-axis machine, Trans. NARMI/SME XXII

  29. Veldhuis S, Elbestawi MA (1994) Modelling and compensation for five axes machine tool errors. ASME-WAM PED 68(2):827–839

    Google Scholar 

  30. Lo C-H, Yuan JX, Ni J (1995) An application of real-time error compensation on a turning center. Int J Mach Tools Manuf 35(12):1669–1682

    Article  Google Scholar 

  31. Bosch JA (1995) Coordinate measuring machines and systems. Marcel Dekker, New York

    Google Scholar 

  32. Ni J (1997) CNC machine accuracy enhancement through real-time error compensation. J Manuf Sci Eng 119:717–725

    Article  Google Scholar 

  33. Mou J (1997) A systematic approach to enhance machine tool accuracy for precision manufacture. Int J Mach Tools Manuf 37(5):669–685

    Article  Google Scholar 

  34. Mahbuburehman RMD, Hewikkala J, Lappalainen K, Karjalinen JA (1997) Positioning accuracy improvement in five-axis milling by post processing. Int J Mach Tools Manuf 37(2):223–236

    Article  Google Scholar 

  35. Aekambaram R, Raman S (1999) Improved tool-path generation, error measures and analysis for sculptured surface machining. Int J Prod Res 37(2):413–431

    Article  MATH  Google Scholar 

  36. Barakat NA, Elbestawi MA, Spence AD (2000) Kinematic and geometric error compensation of a coordinate measuring machine. Int J Mach Tools Manuf 40:833–850

    Article  Google Scholar 

  37. Rahman M, Heikkala J, Lappalainen K (2000) Modeling, measurement and error compensation of multi-axis machine tools. Part I: Theory Int J Mach Tools Manuf 40:1535–1546

    Article  Google Scholar 

  38. Bohez E, Makhnov SS, Sonthipaumpoon K (2000) Adaptive nonlinear tool-path optimization for 5-axis machining. Int J Prod Res 38(17):4329–4343

    Article  MATH  Google Scholar 

  39. Sinumerik (2002) Extended Functions (Part 2) Sinumerik 840D/840Di/810D (CCU2). Available at: www.ad.siemens.de. Accessed 15 Dec 2008

  40. Hiroshi S Hideo NTakashi I Seido K (1999) Compensation for the exponential type lost motion to improve the contouring accuracy of NC machine Tools. Technical Paper, Mitsubishi Electric Corporation, IESL, Itami, Japan. pp. 1481–1486

  41. Heidenhain AG (2002) Technical Manual iTNC 530, NC Software 340: 420-07, 1-1052

  42. Bohez ELJ (2002) Compensating for systematic error in 5-axis NC machining. Comput Aided Des 34:391–403

    Article  Google Scholar 

  43. Wang SM, Liu YL, Yuan K (2002) An efficient error compensation system for CNC multi-axis machines. Int J Mach Tools Manuf 42:1235–1245

    Article  Google Scholar 

  44. Lei WT, Hsu YY (2003) Accuracy enhancement of five-axis CNC machines through real-time error compensation. Int J Mach Tools Manuf 43:871–877

    Article  Google Scholar 

  45. Raksiri C, Parnichkun M (2004) Geometric and force errors compensation in a 3-axis CNC milling machine. Int J Mach Tools Manuf 44:1283–1291

    Article  Google Scholar 

  46. Yang SH, Kim KH, Park YK, Lee SG (2004) Error analysis and compensation of the volumetric errors of a vertical machining centre using a hemispherical helix ball bar test. Int J Adv Manuf Trechnol 23:495–500

    Article  Google Scholar 

  47. Lee JH, liu Y, Yang SH (2006) Accuracy improvement of miniaturized machine tool: geometric error modeling and compensation. Int J Mach Tools Manuf 46:1508–1516

    Article  Google Scholar 

  48. Wang SM, Yu HJ, Liao HW (2006) A new high-efficiency error compensation system for CNC multi-axis machine tools. Int J Manf Technol 28:518–526

    Article  MATH  Google Scholar 

  49. Hsu YY, Wang SS (2007) A new compensation method for geometry errors of five-axis machine tools. Int J Mach Tool Manuf 47:352–360

    Article  Google Scholar 

  50. Weck M Bibring H (1984) Metrological analysis and performance tests. Handbook of machine tools, vol.4. Wiley-Heyden Ltd., New York

  51. Slocum AH (1992) Precision machine design. Prentice-Hall, Englewood Cliffs

    Google Scholar 

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics (Beihang University), Room No: A-211, New Academic Block, No. 37, Xueyuan Road, Haidian District, Beijing, 100191, People’s Republic of China

    Abdul Wahid Khan & Wuyi Chen

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  1. Abdul Wahid Khan
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  2. Wuyi Chen
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Correspondence to Abdul Wahid Khan.

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Khan, A.W., Chen, W. A methodology for systematic geometric error compensation in five-axis machine tools. Int J Adv Manuf Technol 53, 615–628 (2011). https://doi.org/10.1007/s00170-010-2848-3

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