Skip to main content
Log in

A methodology for error characterization and quantification in rotary joints of multi-axis machine tools

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

A novel methodology was developed and implemented for error characterization, evaluation, and its quantification in a rotary joint of multi-axis machine tools by using a calibrated double ball bar (DBB) system as a working standard. This methodology greatly simplified the measurement setup and accelerated the error quantification. Moreover, the methodology is observed to be highly economical by reducing the tooling and instrumentation. However, considerable time and little more efforts are required in measuring and computing the errors. The developed methodology is capable of evaluating the five degrees of freedom (DOF) errors including two radial errors, one axial error, and two tilt errors out of six DOF error components of rotary joints. A DBB system with point accessory was used for direct measurement by change of length at multi-points and various locations, whereas mathematical modeling technique was implemented, and equation solvers were exercised for error evaluation and its quantification. Validation and authentication of the methodology and results obtained were carried out by simulation process prior to implementing the methodology on rotary joints of a five-axis turbine blade grinding machine. The results obtained from “A” and “B” rotary joints of the turbine blade grinding machine were presented by applying cubic spline technique for error modeling and its further utilization. The methodology was found extremely pragmatic, quite simple, efficient, and easy to use for error characterization and its quantification in rotary joints of multi-axis machine tools.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Lin PD, Ehmann KF (1996) Sensing of motion related errors in multiaxis machines. J Dyn Syst Meas Control 118:425–433

    Article  MATH  Google Scholar 

  2. Weck MM (1980) Geometric and kinematic errors. Technol Mach Tools 5(9):12

    Google Scholar 

  3. Bjorklund S, Bjurstam P, Novak A (2002) Compensation of systematic errors in five-axis high speed machining. Int J Prod Res 40(15):3765–3778

    Article  Google Scholar 

  4. Thompson DC (1988) The design of an ultra-precision CNC measuring machine. Ann CIRP 38(1):501–504

    Article  Google Scholar 

  5. Bryan J, Clouser R, Holland E (1967) Spindle accuracy. Am Mach 111(25):149–164

    Google Scholar 

  6. Nawara L, Kowalski M, Sladek J (1989) The influence of kinematic errors on the profile shapes by means of CMM. Ann CIRP 38(1):511–516

    Article  Google Scholar 

  7. Soons J, Theuws F, Schllekens P (1992) Modeling the errors of multi-axis machines: a general methodology. Precis Eng 14(1):5–19

    Article  Google Scholar 

  8. Suh S, Lee J (1998) 5-Axis part machining with 3 axis CNC machine tools and rotary table. ASME Trans J Manuf Sci Eng 120:120–128

    Article  Google Scholar 

  9. Ferreira P, Liu C (1989) An analytical quadratic model for the geometric errors of a machine tool. J Manuf Sys 5(1):51–63

    Article  Google Scholar 

  10. Mou J, Liu C (1995) A method for enhancing the accuracy of CNC machine tools for on-machine inspection. J Manuf Sys 11(4):29–237

    Google Scholar 

  11. Zhang G, Ouyang R, Lu B, Veale R, Donmez A (1988) A displacement method for machine geometry calibration. Ann CIRP 37(1):515–518

    Article  Google Scholar 

  12. Chen G, Yuan J, Ni J (2001) A displacement measurement approach for machine geometric error assessment. Int J Mach Tools Manuf 41:149–161

    Article  Google Scholar 

  13. Schlesinger G (1978) Testing machine tools: for the use of machine tool makers, users, inspectors, and plant engineers, 8th edn. Pergamon Press, New York

    Google Scholar 

  14. Tlusty J (1959) System and methods for testing machine tools. Microtechnic 13:162

    Google Scholar 

  15. Bryan JB, Vanherck P (1975) Unification of terminology concerning the error motion of axes of rotation. Ann CIRP 24(2):555–562

    Google Scholar 

  16. Scientific Technical Committee Me (1976) Unification documents me: axes of rotation. Ann CIRP 25(2):545–564

    Google Scholar 

  17. ANSI/ASME B89.3.4 (1986) Axes of rotation, methods for specifying and testing. The American Society of Mechanical Engineering United Engineering Center, New York

  18. ANSI B89.3.4 (2004) Axes of rotation: methods for specifying and testing standard. ANSI/ASME, New York

  19. Donaldson RR (1972) A simple method for separating spindle error from test ball roundness error. Ann CIRP 21(1):125–126

    Google Scholar 

  20. Goddard EJ, Cowley A, Burdekin M (1972) A measuring system for the evaluation of spindle rotation accuracy. Proceedings of the 13th MTDR Conference, Birmingham, pp 125–131

  21. Vanherck P, Peters J (1973) Digital axis of rotation measurement. Ann CIRP 22(1):135–136

    Google Scholar 

  22. Arora GK, Mallanna C, Anantharaman BK, Babin P (1977) Measurement and evaluation of spindle running error. Int J Mach Tool Des Res 17(2):127–135

    Article  Google Scholar 

  23. Murthy TSR, Mallanna C, Visveswaran ME (1978) New methods of evaluating axis of rotation error. Ann CIRP 27(1):365–369

    Google Scholar 

  24. Mitsui K (1982) Development of a new measuring method for spindle rotation accuracy by three-point method. Proceedings of the 23rd MTDR Conference, Manchester, pp 115–121

  25. Chapman PD (1985) A capacitance based ultra-precision spindle analyzer. Precis Eng 7(3):129–137

    Article  Google Scholar 

  26. Hansen HJ (1988) A new dynamic spindle analyzer. LLNL Preprint UCRL 99490, California

  27. Palmer EW (1988) Goniometer with continuously rotating gratings for use as an angle standard. Precis Eng 10(3):147–152

    Article  Google Scholar 

  28. Dr. Johannes Heidenhain GmbH (1992) Rotary and angle encoder. Dr. Johannes Heidenhain GmbH, Traunreut

  29. Renishaw Transducer System Ltd (1989) Laser calibration system. Renishaw Transducer System Ltd, Gloucestershire

  30. HP 5528 (1987) A laser measurement system-improve machine tool productivity with laser calibration. Technical data, Hewlett Packard Co, Bristol

  31. Lin KY (1994) Application of laser interferometer to the automation calibration of angular indexing on machines tools. Ph.D. thesis, UMIST, Manchester

  32. Park H (1992) Development of a computer aided spindle error analyzer. M.Sc. Thesis, UMIST, Manchester

  33. Zhang GX, Wang RK (1993) Four-point method of roundness and spindle error measurement. Ann CIRP 42(1):593–596

    Article  Google Scholar 

  34. Park YC, Kim SW (1994) Optical measurement of spindle radial motion by Moire' technique of concentric-circle gratings. Int J Mach Tool Manuf 34(7):1019–1030

    Article  Google Scholar 

  35. AG Davis rotary calibrator. A. G. Davis Gage and Engineering Co

  36. Noguchi S, Tsukada T, Sakamoto A (1995) Evaluation method to determine radial accuracy of high-precision rotating spindle units. Precis Eng 17(4):266–273

    Article  Google Scholar 

  37. Idowu A, Gee AE (1996) Wide aperture interferometric spindle metrology: sensitivities and strategies. Proceedings of the Applied Optics Divisional Conference, Reading, pp 182–187

  38. Evans CJ, Hocken RJ, Estler WT (1996) Self calibration reversal, redundancy, error separation and absolute testing. Ann CIRP 45(2):617–634

    Article  Google Scholar 

  39. Zhang GX et al (1997) A multi-point method for spindle error motion measurement. Ann CIRP 46(1):441–445

    Article  Google Scholar 

  40. Lee ES, Wi HG (1998) A comprehensive technique for measuring the three-dimensional positioning accuracy of a rotating object. Int J Adv Manuf Technol 14:330–335

    Article  Google Scholar 

  41. Marsh E, Robert G (2000) Experiences with the master axis method for measuring spindle error motions. Precis Eng 24(50):57

    Google Scholar 

  42. Gao W, Kiyono S, Satoh E (2002) Precision measurement of multi-degree-of-freedom spindle errors using two-dimensional slope sensors. Ann CIRP 51(1):447–450

    Article  Google Scholar 

  43. JG Salsbury (2003) Implementation of the Estler face motion reversal technique. Precis Eng 27:189–194

    Article  Google Scholar 

  44. Liu CH, Jywe WY, Lee HW (2004) Development of a simple test device for spindle error measurement using a position sensitive detector. Meas Sci Technol 15(9):1733–1741

    Article  Google Scholar 

  45. Grejda R, Marsh E, Vallance R (2005) Techniques for calibrating spindles with nanometer error motion. Precis Eng 29(1):113–123

    Article  Google Scholar 

  46. Castro HFF (2008) A method for evaluating spindle rotation errors of machine tools using a laser interferometer. Int J Meas 41:526–537

    Article  Google Scholar 

  47. Evans CJ, Hocken RJ, Estler WT (1996) Self-calibration: reversal, redundancy, error separation, and absolute testing. Ann CIRP 45(2):483–492

    Article  Google Scholar 

  48. Spragg R, Whitehouse D (1968) Procedures of the Institute of Mechanical Engineers. Proc Inst Mech Eng 182:397–405

    Google Scholar 

  49. Grejda RD (2002) Use and calibration or ultra-precision axes of rotation with nanometer level metrology in mechanical engineering. Ph.D. Dissertation, The Pennsylvania State University, Pennsylvania, p 135

  50. Whitehouse DJ (1976) Some theoretical aspects of error separation techniques in surface metrology. J Phys E Sci Inst 9:531–536

    Article  Google Scholar 

  51. Machine axis identification standard EIA-267-B (2001) Axis and motion nomenclature for numerically controlled machines. Electronics Industries Association (EIA), Washington

  52. Khan AW, Liu F, Chen W (2009) Calibration of double ball bar (DBB) system 4th international symposium on advanced optical manufacturing and testing technologies: optical test and measurement technology and equipment. Proc SPIE 7283:72832H-1

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Abdul Wahid Khan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khan, A.W., Chen, W. A methodology for error characterization and quantification in rotary joints of multi-axis machine tools. Int J Adv Manuf Technol 51, 1009–1022 (2010). https://doi.org/10.1007/s00170-010-2677-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-010-2677-4

Keywords

Navigation