Abstract
The positioning error of ball screw feed drive systems is mostly caused by thermal deformation of the ball screw shaft in machine tool feed systems. This paper presents an adaptive real-time model (ARTM) for predicting the temperature transient distribution and thermal error distribution of the ball screw shaft. FEM integrated with the Monte Carlo method is applied to determining the heat generation rates of two bearings, moving nut and two guides in the ball screw feed system. Then based on the data of the FEM calculations, an exponential function of the feed velocity and time is used to describe variation of the temperature difference between the measured surface point and the center of the kinematical pair with time. Finally, a numerical forecasting algorithm is developed to predict the thermal characteristics of the screw shaft and its effectiveness is verified by the experiments.
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Shi H, Ma C, Yang J, Zhao L, Mei XS, Gong GF (2015) Investigation into effect of thermal expansion on thermally induced error of ball screw feed drive system of precision machine tools. Int J Mach Tools Manuf 97:60–17
Bryan J (1990) International status of thermal error research. CRIP Ann Manuf Techn 39(2):645–656
Ramesh R, Mannan MA, Poo AN (2003) Thermal error measurement and modeling in machine tools. Part I: influence of varying operation condition. Int J Mach Tools Manuf 43:391–404
Mayr J, Jedrzejewsk UE, Donmez MA, Knapp W, Härttig F, Wendt K, Moriwaki T, Shore P, Schmitt R, Brecher C, Würz T, Wegener K (2012) Thermal issues in machine tools. CIRP Ann-Manuf Techn 61:771–793
Du ZC, Yang GJ, Yao ZQ, Xue BY (2002) Modeling approach of regression orthogonal experiment design for the thermal error compensation of a CNC turning center. J Mater Process Tech 129:619–623
Schwenke H, Knapp W, Haitjeme H, Weckenmann A, Schmitte R, Delbressine F (2008) Geometric error measurement and compensation of machines—an update. CRIP Ann Manuf Techn 57(2):660–675
Xu ZZ, Liu XJ, Kim HK, Shin JH, Lyu SK (2011) Thermal error forecast and performance evaluation for an air-cooling ball screw system. Int J Mach Tools Manuf 51:605–611
Wu H, Zhang HT, Guo QJ, Wang XH, Yang JG (2008) Thermal error optimization modeling and real-time compensation on a CNC turning center. J Mater Process Tech 207:172–179
Xu ZZ, Liu HJ (2014) Study on thermal behavior analysis of nut/shaft air cooling ball screw for high-precision feed drive. Int J Precis Eng Man 15(1):123–128
Tanabe I, Takada K (1994) Thermal deformation of machine tool structures using resin concrete. Jpn Soc Mech Engrs C 37(2):384–389
Moriwaki T (1988) Thermal deformation and its on-line compensation of hydrostatically supported precision spindle. CIRP Ann-Manuf Techn 37(1):393–396
Ramesh Babu S, Prabhu Raja V, Thyla PR, Thirumalaimuthukumaran M (2014) Prediction of transient thermo-mechanical behavior of the headstock assembly of a CNC lathe. Int J Adv Manuf Technol 74:17–24
Yeh SS, Su HC (2011) Development of friction identification methods for feed drives of CNC machine tools. Int J Adv Manuf Technol 52:263–278
Tan B, Mao XY, Liu HQ, Li B, He SP, Peng FY, Yin Y (2014) A thermal error model for large machine tools that considers environmental thermal hysteresis effects. Int J Mach Tools Manuf 82-83:11–20
Lee JH, Lee JH, Yang SH (2001) Thermal error modeling of a horizontal machining center using fuzzy logic strategy. J Manuf Process 3(2):120–127
Venugopal R, Barash M (1986) Thermal effects on the accuracy of numerically controlled machine tools. CRIP Ann Manuf Techn 35(1):255–258
Week M, Zangs L (1975) Computing the thermal behavior of machine tools using the finite element method-possibilities and limitations. Proceedings of the 16th MTDR Conference 16:185–194
Wu CH, Kung YT (2003) Thermal analysis for the feed drive system of a CNC machine center. Int J Mach Tools Manuf 43:1521–1528
Kim SK, Cho DW (1997) Real-time estimation of temperature distribution in a ball-screw system. Int Mach Tools Manuf 37(4):451–464
Heisel U, Koscsak G, Stehle T (2006) Thermography-based investigation into thermally induced positioning errors of feed drives by example of a ball screw. CRIP Ann Manuf Technol 55(1):423–426
Min X, Jiang S (2011) A thermal model of a ball screw feed drive system for a machine tool. Proc IMechE Part C: J Mech Eng Sci 225:187–193
Li ZH, Fan KG, Yang JG, Zhan Y (2014) Time-varying positioning error modeling and compensation for ball screw systems based on simulation and experimental analysis. Int J Adv Manuf Technol 73:773–782
Jedrzejewski J, Modrzycki W (1992) A new approach to modelling thermal behaviour of a machine tool under service conditions. CRIP Ann Manuf Techn 41(1):455–458
Yun WS, Kim SK, Cho DW (1999) Thermal error analysis for a CNC lathe feed drive system. Int J Mach Tools Manuf 39:1087–1101
Brooks SP (1998) Markov chain Monte Carlo method and its application. Underst Stat 47:69–100
ISO230-2:2006. Test code for machine tools—part 2: determination of accuracy and repeatability of positioning numerically controlled axes. International Standards Organization
ISO230-3:2007. Test code for machine tools—part 3: determination of thermal effects. International Standards Organization
Chen Y, Zhao CY, Zhang YM, Wen BC (2017) On the friction characteristics of CNC machine tool’s feed drive system. Journal of Northeastern University (Natural Science) 38(7):993–997 (in Chinese)
FANUC, FOCAS1: FANUC Open CNC API Specifications version 1-FOCAS1/Ethernet CNC/PMC Data window library, http://www.graco.unb.br/alvares/romi/Focas1/Disk2/Doc/FWLIB32.htm, 2003
Acknowledgements
This work was supported by the National Natural Science Foundation of China under grant 51375081. Simultaneously, it was supported by the important national science & technology specific projects ‘High-end CNC machine tools and basic manufacturing’ of China under grant 2013ZX0401-011.
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Li, Tj., Zhao, Cy. & Zhang, Ym. Adaptive real-time model on thermal error of ball screw feed drive systems of CNC machine tools. Int J Adv Manuf Technol 94, 3853–3861 (2018). https://doi.org/10.1007/s00170-017-1076-5
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DOI: https://doi.org/10.1007/s00170-017-1076-5