Abstract
Thermal error which has been widely studied in cutting machine tools, was ignored in the EDM machines in most cases, since there is usually no high-speed rotation for spindles. However, for large die-sinking EDM machines, due to heavy load of drive system and long processing cycle of large aeronautical parts, thermal error induced by jump motion has seriously impaired the machining accuracy and gradually been recognized. In this paper, the dynamic thermal behavior of spindle induced by periodic jump motions in large precision die-sinking EDM machine was studied for the first time. Noted that the Z-axis base and column show obvious temperature rise and the thermal error in Y direction is the largest, which is about 6.5 and 5 times compared with that in X and Z directions. Based on this, an efficient thermal error prediction model was presented. Thermal sensitive points were picked out through fuzzy clustering and correlation theory, taken as inputs of radial basis function (RBF) neural network to guarantee the accuracy. As a result, the prediction accuracy in X, Y and Z directions are 95.2 %, 92.5 % and 94.4 %, respectively. Finally, the effect of jump period on spindle thermal behavior was investigated, and suggestions for optimizing jump motion parameters were proposed to further improve the machining accuracy of large EDM machines.
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I. Ayesta, B. Izquierdo, J. A. Sanchez, J. M. Ramos, S. Plaza, I. Pombo and N. Ortega, Optimum electrode path generation for EDM manufacturing of aerospace components, Robot Cim-Int. Manuf, 37 (2016) 273–281.
M. A. Xavior, M. Manohar, P. M. Madhukar and P. Jeyapan-diarajan, Experimental investigation of work hardening, residual stress and microstructure during machining Inconel 718, J. Mech, Sci. Technol., 31 (10) (2017) 4789–4794.
H. K. Yoo, W, T. Kwon and S. Kang, Development of a new electrode for micro-electrical discharge machining (EDM) using Ti (C, N)-based cermet, Int, J. Precis. Eng. Manuf., 15 (4) (2014) 609–616.
E. Creighton, A. Honegger, A. Tulsian and D. Muk-hopadhyay, Analysis of thermal errors in a high-speed micro-milling spindle, Int. J. Mack Tool. Manu., 50 (4) (2010) 386–393.
L. Ding, J. Liu and Y. Cai, Research on the accuracy error model of large-scale precision six-axis linkage EDM machine tool. Electro. Mould, 1 (2018) 19–26.
K. OBwald, S. Schneider, L. Hensgen, A. Klink and F. Klocke, Experimental investigation of energy distribution in continuous sinking EDM, Cirp J. Manuf. Sci. Technol, 19 (2017) 36–42.
N. S. Mian, S. Fletcher, A, P. Longstaff and A. Myers, Efficient thermal error prediction in a machine tool using finite element analysis, Meas, Sci. Technol, 22 (8) (2011) 85–97.
J. Huang, Z. Zhou, M. Liu, E. Zhang, M. Chen, D, T. Pham and C. Ji, Real-time measurement of temperature field in heavy-duty machine tools using fiber Bragg grating sensors and analysis of thermal shift errors, Mechatronics, 31 (2015) 16–21.
H. Liu, E. M. Miao, X. Y. Wei and X. D. Zhuang, Robustness modeling method for thermal error of CNC machine tools based on ridge regression algorithm, Int, J. Mach. Tool. Manu., 113 (2016) 35–48.
A. M. Abdulshahed, A, P. Longstaff, S. Fletcher and A. Myers, Thermal error modelling of machine tools based on ANFIS with fuzzy c-means clustering using a thermal imaging camera. Math. Model, 39 (7) (2015) 1837–1852.
S. Wang, X. Li, J. Zhou and L. Kang, Research on thermal deformation of large-scale computer numerical control gear hobbing machines, J. Mech. Sci. Technol, 27 (5) (2013) 1393–1405.
C. Wu, J. Fan, Q. Wang and D. Chen, Machining accuracy improvement of non-orthogonal five-axis machine tools by a new iterative compensation methodology based on the relative motion constraint equation, Int, J. Mach. Tool. Manu., 124 (2018) 80–98.
Y. Li, W. Zhao, W. Wu, B. Lu and Y. Chen, Thermal error modeling of the spindle based on multiple variables for the precision machine tool,. Int. J. Adv. Manuf. Technol, 72 (9–12) (2014) 1415–1427.
C. Xia, J. Fu and Y. Xu, Machine tool selected point temperature rise identification based on operational thermal modal analysis, Int, J. Adv. Manuf. Technol, 70 (1–4) (2014) 19–31.
A. M. Abdulshahed, A, P. Longstaff and S. Fletcher, The application of ANFIS prediction models for thermal error compensation on CNC machine tools, Appl. Soft Comput., 27 (7) (2015) 158–168.
X. L. Deng, J. Z. Fu and H. Y. Shen, Thermal equilibrium test for multi spindle system of precision CNC machine tool, Journal of Zhejiang University (Engineering Science Edition), 48 (9) (2014) 1646–1653.
E. Gomez-Acedo, A. Olarra, J. Orive and L. N. L. de la Calle, Methodology for the design of a thermal distortion compensation for large machine tools based in state-space representation with Kalman filter, Int, J. Mach. Tool. Manu., 75 (12) (2013) 100–108.
C. S. Lee, E. Y. Heo, J, M. Kim, I, H. Choi and D. W. Kim, Electrode wear estimation model for EDM drilling, Robot Cim-Int. Manuf, 36 (2015) 70–75.
Y. Xin, X. Tian and L. Huang, Optimal machine tools selection using interval-valued data FCM clustering algorithm, Math, Probl. Eng, 2 (2014) 1902–1905.
H. Wang, L. Wang, T. Li and J. Han, Thermal sensor selection for the thermal error modeling of machine tool based on the fuzzy clustering method, Int, J. Adv. Manuf. Technol., 69 (1–4) (2013) 121–126.
D. Inamdar, G. Leblanc, R. J. Softer and M. Kalacska, The correlation coefficient as a simple tool for the localization of errors in spectroscopic imaging data, Rem. Sen., 10 (2) (2018) 231–257.
L. Sun, M. Ren, H. Hong and Y. Yin, Thermal error reduction based on thermodynamics structure optimization method for an ultra-precision machine tool, Int, J. Adv. Manuf. Technol, 88 (5–8) (2017) 1267–1277.
J. Zhang, P. Feng, C. Chen, D. Yu and Z. Wu, A method for thermal performance modeling and simulation of machine tools, Int, J. Adv. Manuf. Technol, 68 (5–8) (2013) 1517–1527.
J. H. Jung, J. P. Choi and S, J. Lee, Machining accuracy enhancement by compensating for volumetric errors of a machine tool and on-machine measurement, J, Mater. Process Technol, 174 (1-3) (2006) 56–66.
N, S. Mian, S. Fletcher, A, P. Longstaff and A. Myers, Efficient estimation by FEA of machine tool distortion due to environmental temperature perturbations, Precis. Eng., 37 (2) (2013) 372–379.
B. Tan, X. Mao, H. Liu, B. Li, S. He, F. Peng and L. Yin, A thermal error model for large machine tools that considers environmental thermal hysteresis effects, Int, J. Mach. Tool. Manu., 82–83 (7) (2014) 11–20.
S. Menard, Coefficients of determination for multiple logistic regression analysis, Am. Stat., 54 (1) (2000) 17–24.
Acknowledgments
This work is supported by National Natural Science Foundation of China (Grant No. 51775145, 61771156), Major Project of Applied Technology Research and Development Plan of Heilongjiang Province (Grant No. GA16A404) and Open Found of Key Laboratory of Microsystems and Microstructure Manufacturing Ministry of Education (HIT) (Grant No. 2016KM010).
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Recommended by Associate Editor Wonkyun Lee
Zhaoxi Zhao is a Ph.D. student in the School of Mechatronics Engineering of Harbin Institute of Technology and a member in Key Laboratory of Microsystems and Microstructures Manufacturing of Ministry of Education at the same institute. Her research work is focused on the dynamic and thermal analysis of large precision die-sinking EDM machine tools.
Zhenlong Wang is a Professor and an Associate Dean in the School of Mechatronics Engineering of Harbin Institute of Technology. His research area is on non-traditional machining technology, micro-machining technology, electromechanical control process and intelligent processing. In recent years, he has completed more than 30 projects, including the key projects of the National Natural Science Foundation and the National 863 Program, the advance research projects of the General Equipment Department, the basic scientific research projects of the National Defense Science and Industry Commission, and 973 projects.
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Zhao, Z., Zhang, J., Wang, Y. et al. Dynamic thermal behavior and thermal error prediction of spindle due to periodic jump motions in a large precision die-sinking EDM machine. J Mech Sci Technol 33, 3397–3405 (2019). https://doi.org/10.1007/s12206-019-0635-0
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DOI: https://doi.org/10.1007/s12206-019-0635-0