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A novel method for machining accuracy reliability and failure sensitivity analysis for multi-axis machine tool

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Abstract

In the state of machining service, to evaluate the machining accuracy reliability of multi-axis CNC machine tools, analyze the accuracy failure mode and the reliability sensitivity under the failure mode, this paper proposes a research method by the cross-correlation studies of geometric error parameters to improve and promote the accuracy reliability of CNC machine tools. Firstly, by multi-body system theory, the homogeneous coordinate transformation matrix between each body of the machine tool is established, and the spatial machining accuracy model is constructed. At the same time, considering the time series problem in the measurement process of geometric error parameters, this paper studies the correlation between the error parameters for reliability analysis and proposes a novel reliability analysis index for each measurement point in the machine tool workspace. To validation of the method, the analysis results of this paper are compared with those by Monte Carlo simulation. In addition, the accuracy failure conditions of the machine tool are studied, the failure state function of machine tool accuracy is established, and the accuracy failure modes that may occur are analyzed from this, to carry out the accuracy failure sensitivity analysis under the failure mode, and to identify key geometric errors which have a great impact on the machining accuracy reliability of machine tool in the failure mode. Finally, taking a 3-axis machine tool as an example, according to the analysis results, this paper puts forward measures to improve the accuracy reliability and verifies the feasibility of the proposed method.

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References

  1. Yu J (2012) Machine tool condition monitoring based on an adaptive Gaussian mixture model. Journal of Manufacturing Science and Engineering-Transactions of the Asme 134:3

    Article  Google Scholar 

  2. Vogl GW, Jameson NJ, Archenti A, Szipka K et al (2019) Root-cause analysis of wear-induced error motion changes of machine tool linear axes. Int J Mach Tools Manuf 143:38–48

    Article  Google Scholar 

  3. Zhang Z, Cheng Q, Qi B, Tao Z (2021) A general approach for the machining quality evaluation of S-shaped specimen based on POS-SQP algorithm and Monte Carlo method. J Manuf Syst 60:553–568. https://doi.org/10.1016/j.jmsy.2021.07.020

    Article  Google Scholar 

  4. Cheng Q, Qi B, Liu Z, Zhang C, Xue D (2019) An accuracy degradation analysis of ball screw mechanism considering time-varying motion and loading working conditions. Mech Mach Theory 134:1–23

    Article  Google Scholar 

  5. Li ZH, Feng WL, Yang JG, Huang YQ (2018) An investigation on modeling and compensation of synthetic geometric errors on large machine tools based on moving least squares method. Proc Inst Mech Eng Part B-J Eng Manuf 232(3):412–427

    Article  Google Scholar 

  6. Wang J, Guo J (2013) Algorithm for detecting volumetric geometric accuracy of NC machine tool by laser tracker. Chinese Journal of Mechanical Engineering 26(1):166–175

    Article  Google Scholar 

  7. Kan YN, Yang ZJ, Li GF, He JL, Wang YK, Li HZ (2016) Bayesian zero-failure reliability modeling and assessment method for multiple numerical control (NC) machine tools. J Cent South Univ 23(11):2858–2866

    Article  Google Scholar 

  8. Wang ZM (2011). Application of least square-support vector machines in reliability analysis of NC machine tools. Advanced Materials Science and Technology, Pts 1-2. Advanced Materials Research. 181-182. Durnten-Zurich: Trans Tech Publications Ltd; p. 166-71

  9. Li SZ, Yang ZJ, Tian HL, Chen CH, Zhu YF, Deng FQ et al (2021) Failure analysis for hydraulic system of heavy-duty machine tool with incomplete failure data. Appl Sci-Basel 11(3):18

    Google Scholar 

  10. Wu HR, Zheng HL, Li XX, Wang WK, Xiang XP, Meng XP (2020) A geometric accuracy analysis and tolerance robust design approach for a vertical machining center based on the reliability theory. Measurement 161:14

    Article  Google Scholar 

  11. Zhang ZL, Cai LG, Cheng Q, Liu ZF, Gu PH (2019) A geometric error budget method to improve machining accuracy reliability of multi-axis machine tools. J Intell Manuf 30(2):495–519

    Article  Google Scholar 

  12. Wu HR, Zheng HL, Li XX, Rong ML, Fan J, Meng XP (2020) Robust design method for optimizing the static accuracy of a vertical machining center. Int J Adv Manuf Technol 109(7-8):2009–2022

    Article  Google Scholar 

  13. Xiao MH, Geng GS, Li GH, Li H, Ma RN (2017) Analysis on dynamic precision reliability of high-speed precision press based on Monte Carlo method. Nonlinear Dyn 90(4):2979–2988

    Article  Google Scholar 

  14. Wang W, Zhang YM, Li CY (2017) Dynamic reliability analysis of linear guides in positioning precision. Mech Mach Theory 116:451–464

    Article  Google Scholar 

  15. Chen GD, Liang YC, Sun YZ, Chen WQ, Wang B (2013) Volumetric error modeling and sensitivity analysis for designing a five-axis ultra-precision machine tool. Int J Adv Manuf Technol 68(9-12):2525–2534

    Article  Google Scholar 

  16. Niu P, Cheng Q, Liu ZF, Chu HY (2021) A machining accuracy improvement approach for a horizontal machining center based on analysis of geometric error characteristics. Int J Adv Manuf Technol 112(9-10):2873–2887

    Article  Google Scholar 

  17. Wang W, Wu H. Sensitivity analysis of geometric errors for five-axis CNC machine tool based on multi-body system theory. In: Sung WP, Chen R, editors. Frontiers of manufacturing and design science Iii, Pts 1 and 2. Applied Mechanics and Materials. 271-2722013. p. 493-+

  18. Zhu SW, Ding GF, Qin SF, Lei J, Zhuang L, Yan KY (2012) Integrated geometric error modeling, identification and compensation of CNC machine tools. Int J Mach Tools Manuf 52(1):24–29

    Article  Google Scholar 

  19. Fan JW, Tao HH, Pan R, Chen DJ (2020) Optimal tolerance allocation for five-axis machine tools in consideration of deformation caused by gravity. Int J Adv Manuf Technol 111(1-2):13–24

    Article  Google Scholar 

  20. Cheng Q, Feng Q, Liu Z, Gu P, Cai L (2015) Fluctuation prediction of machining accuracy for multi-axis machine tool based on stochastic process theory. Proceedings of the Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science 229(14):2534–2550

    Article  Google Scholar 

  21. Guo SJ, Tang SF, Zhang DS (2019) A recognition methodology for the key geometric errors of a multi-axis machine tool based on accuracy retentivity analysis. Complexity 2019:21

    Article  Google Scholar 

  22. Guo S, Mei X, Jiang G, Zhang D, Hui Y (2016) Correlation analysis of geometric error for CNC machine tool. Nongye Jixie Xuebao/Transactions of the Chinese Society for Agricultural Machinery 47(10):383–389

    Google Scholar 

  23. Kim K, Kim MK (1991) Volumetric accuracy analysis based on generalized geometric error model in multi-axis machine tools. Mech Mach Theory 26(2):207–219

    Article  Google Scholar 

  24. Dorndorf U, Kiridena VSB, Ferreira PM (1994) (1994). OPTIMAL BUDGETING OF QUASI-STATIC MACHINE-TOOL ERRORS. J Eng Ind Trans ASME 116(1):42–53

    Article  Google Scholar 

  25. Jiang C, Zhang W, Han X, Ni BY, Song LJ (2015) A vine-copula-based reliability analysis method for structures with multidimensional correlation. J Mech Des 137(6):13

    Article  Google Scholar 

  26. Cheng Q, Dong L, Liu Z, Li J, Gu P (2018) A new geometric error budget method of multi-axis machine tool based on improved value analysis. Proceedings of the Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science 232(22):4064–4083

    Article  Google Scholar 

  27. Chen J-X, Lin S-W, Zhou X-L (2016) A comprehensive error analysis method for the geometric error of multi-axis machine tool. Int J Mach Tools Manuf 106:56–66

    Article  Google Scholar 

  28. Cai L, Li J, Cheng Q, Sun B, Wang Y (2016). A method to optimize geometric errors of machine tool based on SNR quality loss function and correlation analysis. In: Yuan HL, Agarwal RK, Tandon P, Wang EX, editors. 2016 the 3rd International Conference on Mechatronics and Mechanical Engineering. MATEC Web of Conferences. 952017

  29. Zhang P, Su LB, Qin GJ, Kong XH, Peng Y (2019) Failure probability of corroded pipeline considering the correlation of random variables. Eng Fail Anal 99:34–45

    Article  Google Scholar 

  30. Narazaki Y, Hoskere V, Spencer BF (2018) Free vibration-based system identification using temporal cross-correlations. Struct Control Health Monit 25(8):18

    Article  Google Scholar 

  31. Guo SJ, Jiang GD, Mei XS (2017) Investigation of sensitivity analysis and compensation parameter optimization of geometric error for five-axis machine tool. Int J Adv Manuf Technol 93(9-12):3229–3243

    Article  Google Scholar 

  32. Fu GQ, Fu JZ, Shen HY, Yao XH (2016) The tool following function-based identification approach for all geometric errors of rotary axes using ballbar. Proceedings of the Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science 230(19):3509–3527

    Article  Google Scholar 

  33. Xia HJ, Peng WC, Ouyang XB, Chen XD, Wang SJ, Chen X (2017) Identification of geometric errors of rotary axis on multi-axis machine tool based on kinematic analysis method using double ball bar. Int J Mach Tools Manuf 122:161–175

    Article  Google Scholar 

  34. Su H, Li J, Guo Z, Wen Z (2018) Nonprobabilistic reliability evaluation for in-service gravity dam undergoing structural reinforcement. IEEE Trans Reliab 67(3):970–986

    Article  Google Scholar 

  35. Wang C, Zhang S-R, Sun B, Wang G-H (2014) Methodology for estimating probability of dynamical system's failure for concrete gravity dam. J Cent South Univ 21(2):775–789

    Article  Google Scholar 

  36. Chen X, Chen Q, Bian X, Fan J (2017) Reliability evaluation of bridges based on nonprobabilistic response surface limit method. Math Probl Eng 2017:10

    Article  MATH  Google Scholar 

  37. Ghosh S, Ghosh S, Chakraborty S (2018) Seismic reliability analysis of reinforced concrete bridge pier using efficient response surface method-based simulation. Adv Struct Eng 21(15):2326–2339

    Article  Google Scholar 

  38. Bohez ELJ, Ariyajunya B, Sinlapeecheewa C, Shein TMM, Lap DT, Belforte G (2007) Systematic geometric rigid body error identification of 5-axis milling machines. Comput Aided Des 39(4):229–244

    Article  Google Scholar 

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Funding

The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by the National Natural Science Foundation of China (51975012) and Opening Project of the Key Laboratory of CNC Equipment Reliability, Ministry of Education, Jilin University.

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Qiang Cheng and Niu Peng is responsible for providing overall research ideas; Zhang Caixia, Hao Xiaolong, and Chuanhai Chen are responsible for the measurement of machine tool error data; Niu Peng and Congbin Yang are responsible for experimental data analysis.

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Correspondence to Qiang Cheng.

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Niu, P., Cheng, Q., Zhang, C. et al. A novel method for machining accuracy reliability and failure sensitivity analysis for multi-axis machine tool. Int J Adv Manuf Technol 124, 3823–3836 (2023). https://doi.org/10.1007/s00170-021-08003-4

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  • DOI: https://doi.org/10.1007/s00170-021-08003-4

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