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Measurement and identification of geometric errors of translational axis based on sensitivity analysis for ultra-precision machine tools

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Abstract

Identification of geometric errors of translational axis is a key step to improve the accuracy of machine tools. However, during the procedure of measurement, installation errors of instruments are inevitable and should influence the measurement results. In order to avoid this and improve the reliability and accuracy of measurement, a novel identification measurement method is proposed. The errors of positioning and straightness of translational axis are measured by a laser interferometer in four installation positions. Twelve measured results are obtained, and then are used to identify six geometric errors of translation axis, based on the homogeneous transformation matrix and the least square method. Furthermore, an optimization method based on sensitivity analysis of the identification matrix is presented to obtain the optimum installation positions of the laser interferometer, to diminish the influence of the installation errors. Finally, simulations and experiments are conducted to validate the correctness and effectiveness of proposed method. The results indicate that the optimization identification method proposed is effective and accurate.

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References

  1. Chen JS, Yuan J, Ni J (1996) Thermal error modelling for real-time error compensation. Int J Adv Manuf Technol 12(4):266–275

    Article  Google Scholar 

  2. Yang JG, Ren YQ, Liu GL, Zhao HT (2005) Testing, variable selecting and modeling of thermal errors on an INDEX-G200 turning center. Int J Adv Manuf Technol 26(7–8):814–818

    Article  Google Scholar 

  3. Cui GW, Lu Y, Li JG (2012) Geometric error compensation software system for CNC machine tools based on NC program reconstructing. Int J Adv Manuf Technol 63(1–4):169–180

    Article  Google Scholar 

  4. Kiridena VSB, Ferreira PM (1994) Parameter estimation and model verifacation of first order quasistatic error model for three-axis machining centers. Int J Mach Tools Manuf 34(1):101–125

    Article  Google Scholar 

  5. Yi Z, Yang JG, Zhang K (2013) Geometric error measurement and compensation for the rotary table of five-axis machine tool with double ballbar. Int J Adv Manuf Technol 65(1–4):275–281

    Google Scholar 

  6. Schwenke H, Knapp W, Haitjema H (2008) Geometric error measurement and compensation of machines—an update. CIRP Ann Manuf Technol 57(2):660–675

    Article  Google Scholar 

  7. Ibaraki S, Knapp W (2012) Indirect measurement of volumetric accuracy for three-axis and five-axis machine tools: a review. Int J Autom Technol 6(2):110–124

    Article  Google Scholar 

  8. Lee JC, Lee HH (2016) Total measurement of geometric errors of a three-axis machine tool by developing a hybrid technique. Int J Precis Eng Man 17(4):427–432

    Article  Google Scholar 

  9. ISO230-2 (2006) Test code for machine tools—Part 2: determination of accuracy and repeatability of positioning numerically controlled axes, ISO

  10. Wei W, Kweon SH (2009) Development of an optical measuring system for integrated geometric errors of a three-axis miniaturized machine tool. Int J Adv Manuf Technol 43(7–8):701–709

    Google Scholar 

  11. Liu CH, Jywe WY (2005) Development of a laser-based high-precision six-degrees-of-freedom motion errors measuring system for linear stage. Rev Sci Instrum 76(5):055110–055110-6

    Article  Google Scholar 

  12. Lee JH, Yang SH (2005) Measurement of geometric errors in a miniaturized machine tool using capacitance sensors. J Mater Process Technol 164-165(10):1402–1509

    Article  Google Scholar 

  13. Gu T, Lin S (2016) An improved total least square calibration method for straightness error of coordinate measuring machine. Proc IMechE, Part B: J Engineering Manufacture 230(9):1665–1672

    Article  Google Scholar 

  14. Okafor AC, Ertekin YM (2000) Derivation of machine tool error models and error compensation procedure for three axes vertical machining center using rigid body kinematics. Int J Mach Tools Manuf 40(8):1199–1213

    Article  Google Scholar 

  15. Sergio A, David S, Jorge S (2012) Identification strategy of error parameter in volumetric error compensation of machine tool based on laser tracker measurements. Int J Mach Tools Manuf 53(1):160–169

    Article  Google Scholar 

  16. Lee DM, Lee HH, Yang SH (2013) Analysis of squareness measurement using a laser interferometer system. Int J Precis Eng Man 14(10):1839–1840

    Article  Google Scholar 

  17. Lee DM, Zhu ZK, Lee KL (2011) Identification and measurement of geometric errors for a five-axis machine tool with a tilting head using a double ball-bar. Int J Precis Eng Man 12(2):337–343

    Article  Google Scholar 

  18. Lee KL, Lee JC, Yang SH (2014) Performance evaluation of five-DOF motion in ultra-precision linear stage. Int J Precis Eng Man 15(1):129–134

    Article  Google Scholar 

  19. Chen GQ, Yuan JX, Ni J (2001) A displacement measurement approach for machine geometric error assessment. Int J Mach Tools Manuf 41(1):149–161

    Article  Google Scholar 

  20. Wang JD, Guo JJ (2011) Method of geometric error identification for numerical control machine tool based on laser tracker. Chin J Mech Eng-En 47(14):13–19

    Article  Google Scholar 

  21. Du Z, Zhang S (2010) Development of a multi-step measuring method for motion accuracy of NC machine tools based on cross grid encoder. Int J Mach Tools Manuf 50(3):270–280

    Article  Google Scholar 

  22. Aguado S, Samper D (2012) Towards an effective identification strategy in volumetric error compensation of machine tools. Meas Sci Technol 23(6):207–207

    Article  Google Scholar 

  23. Fan KC, Chen MJ (2000) A 6-degree-of-freedom measurement system for the accuracy of x-y stages. Precis Eng 24(1):15–23

    Article  Google Scholar 

  24. Zhang Z, Hu H (2014) Measurement and compensation of geometric errors of three-axis machine tool by using laser tracker based on a sequential multilateration scheme. Proc IMechE, Part B: J Engineering Manufacture 228(8):819–831

    Article  Google Scholar 

  25. Zhang Z, Hu H (2013) A general strategy for geometric error identification of multi-axis machine tools based on point measurement. Int J Adv Manuf Technol 69(5–8):1483–1497

    Article  Google Scholar 

  26. ISO230-1 (2012) Test code for machine tools—Part 1: geometric accuracy of machines operating under no-load or quasi-static conditions. ISO

  27. Donmez MA, Bloquist DS, Hocken RJ, Liu CR (1986) A general methodology for machine tool accuracy enhancement by error compensation. Precis Eng 8(4):187–196

    Article  Google Scholar 

  28. Kong LB (2008) A kinematics and experimental analysis of form error compensation in ultra-precision machining. Int J Mach Tools Manuf 48(12–13):1408–1419

    Article  Google Scholar 

  29. Lee RS, Lin YH (2012) Applying bidirectional kinematics to assembly error analysis for five- axis machine tools with general orthogonal configuration. Int J Adv Manuf Technol 62(9–12):1261–1272

    Article  Google Scholar 

  30. Sabourin L, Robin V (2012) Improving the capability of a redundant robotic cell for cast parts finishing. Ind Robot 39(4):381–391

    Article  Google Scholar 

  31. Corbel D, Company O (2010) Enhancing PKM accuracy by separating actuation and measurement. A 3DOF case study. J Mech Robot 2(3):191–220

    Article  Google Scholar 

  32. Golub GH, Van Loan CF (2012) Matrix computations, fourth edn. Johns Hopkins University Press, Maryland

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Authors and Affiliations

  1. Guangdong Provincial Key Laboratory of Micro-nano Manufacturing Technology and Equipment, School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou, Guangdong, 510006, China

    Weichao Peng, Hongjian Xia, Sujuan Wang & Xindu Chen

Authors
  1. Weichao Peng
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  2. Hongjian Xia
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  3. Sujuan Wang
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  4. Xindu Chen
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Correspondence to Hongjian Xia.

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Peng, W., Xia, H., Wang, S. et al. Measurement and identification of geometric errors of translational axis based on sensitivity analysis for ultra-precision machine tools. Int J Adv Manuf Technol 94, 2905–2917 (2018). https://doi.org/10.1007/s00170-017-1095-2

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  • DOI: https://doi.org/10.1007/s00170-017-1095-2

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