Thermal models are important in the process of predicting the thermal characteristics and corresponding thermal error of multi-link high-speed precision presses (MLHSPPs) with an oil-lubrication system. Previous models only involved the effects of bearing stiffness, temperature change of bearings, flexibility of crank shaft on the heat generation power, while the influences of revolute clearance joint and flexibility of linkage are seldom considered, which inevitably reduces the accuracy of thermal analysis. To overcome this problem, dynamic models of flexible multi-link mechanisms (MLM) with clearance, lubrication, crankshaft-bearing system are constructed, the interaction forces between pin and bushing are obtained to calculate its heat generation power. Then, an improved model of MLHSPP with lubrication is proposed to analyze the temperature evolution and the thermal error between slider and work table at the position of LDP, by considering bearing stiffness, temperature change of bearings, flexibility of crank shaft, linkage, clearance, lubrication and thermal contact resistance all together. Compared with results from traditional models, the simulation data from this improved thermal model agree well with experiment, which proves the validity of the proposed model. Furthermore, the temperature rise and the thermal error of MLHSPP between slider and work table at the position of LDP under different input speeds, lubricating oil flux and contact angles of ball bearing were also studied.
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J. Bryan, International status of thermal error research, CIRP Annals-Manufacturing Technology, 39 (2) (1990) 645–656.
H. Yang and J. Ni, Dynamic modeling for machine tool thermal error compensation, J. of Manufacturing Science & Engineering, 125 (2) (2003) 245–254.
S. Jiang, Z. G. Zhao, M. L. Sun, J. H. Guo and H. Yu, Analysis on thermal dynamic characteristics of CNC machine tool spindle, J. of Tianjin University, 46 (9) (2003) 846–850.
J. Zhu, J. Ni and A. J. Shih, Robust machine tool thermal error modeling through thermal mode concept, J. of Manufacturing Science & Engineering, 130 (6) (2008) 0610061–9.
I. A. Zverev, I. U. Eun, W. J. Chung and C. M. Lee, Thermal model of high-speed spindle units, KSME International J., 2 (5) (2003) 306–315.
C. W. Lin, J. F. Tu and J. Kamman, An integrated thermo-mechanical-dynamic model to characterize motorized machine tool spindles during very high speed rotation, International J. of Machine Tools & Manufacture, 43 (10) (2003) 1035–1050.
H. Q. Li and Y. C. Shin, Analysis of bearing configuration effects on high speed spindles using an integrated dynamic thermo-mechanical spindle model, International J. of Machine Tools & Manufacture, 44 (4) (2004) 347–364.
B. Bossmanns and J. F. Tu, A thermal model for high speed motorized spindles, International J. of Machine Tools & Manufacture, 39 (9) (1999) 1345–1366.
B. Bossmanns and J. F. Tu, A power flow model for high speed motorized spindles-heat generation characterization, J. of Manufacturing Science & Engineering, 123 (3) (2001) 494–505.
B. Shen, A. Shih and G. X. Xiao, A heat transfer model based on finite difference method for grinding, J. of Manufacturing Science & Engineering, 133 (3) (2011) 1–10.
J. Mayr, M. Ess, S. Weikert and K. Wegener, Simulation and prediction of the thermally induced deformations of machine tools caused by moving linear axis using the FDEM simulation approach, 23rd ASPE Annual Meeting, Portland, USA (2008) 168–171.
D. Y. Huang, J. Hong, J. H. Zhang and C. Li, Thermal resistance network for solving temperature field in spindle system, J. of Xi’an Jiaotong University, 46 (2012) 63–67.
C. H. Liu, G. J. Luo, W. He and X. X. Hu, Steady state thermal analysis of a spindle system based on thermal network, China Mechanical Engineering, 21 (6) (2010) 631–635.
H. T. Zhao, J. G. Yang and J. H. Shen, Simulation of thermal behavior of a CNC machine tool spindle, International J. of Machine Tools & Manufacture, 47 (6) (2007) 1003–1010.
M. Xu, S. Y. Jiang and Y. Cai, An improved thermal model for machine tool bearings, International J. of Machine Tools & Manufacture, 47 (1) (2007) 53–62.
T. Hookups, H. Cao, P. Kolár, Y. Altinatas and J. Zelený, Thermo-mechanical model of spindles, Cirp Annals-Manufacturing Technology, 59 (1) (2010) 365–368.
E. Creighton, A. Honegger, A. Tulsian and D. Mukhopadhyay, Analysis of thermal errors in a high-speed micro-milling spindle, International J. of Machine Tools & Manufacture, 50 (4) (2010) 386–393.
A. Zahedi and M. R. Movahhedy, Thermo-mechanical modeling of high speed spindles, Scientia Iranica, 19 (2) (2012) 282–293.
C. L. Zhao and X. S. Guan, Thermal analysis and experimental study on the spindle of the high-speed machining center, Aasri Procedia, 1 (4) (2012) 207–212.
E. Uhlmann and J. Hu, Thermal modelling of a high speed motor spindle, Procedia Cirp, 1 (1) (2012) 313–318.
S. T. Xiang, X. L. Zhu and J. G. Yang, Modeling for spindle thermal error in machine tools based on mechanism analysis and thermal basic characteristics tests, Proceedings of the Institution of Mechanical Engineers Part C J. of Mechanical Engineering Science, 228 (18) (2014) 3381–3394.
J. Lee, D. H. Kim and C. M. Lee, A study on the thermal characteristics and experiments of high-speed spindle for machine tools, International J. of Precision Engineering, 16 (2) (2015) 293–299.
C. Ma, J. Yang, L. Zhao, X. S. Mei and H. Shi, Simulation and experimental study on the thermally induced deformations of high-speed spindle system, Applied Thermal Engineering, 86 (2015) 251–268.
Z. C. Du, S. Y. Yao and J. G. Yang, Thermal behavior analysis and thermal error compensation for motorized spindle of machine tools, International J. of Precision Engineering & Manufacturing, 16 (7) (2015) 1571–1581.
S. Y. Jiang and H. B. Mao, Investigation of variable optimum preload for a machine tool spindle, International J. of Machine Tools and Manufacture, 50 (1) (2010) 19–28.
D. X. Zheng and W. F. Chen, Thermal performances on angular contact ball bearing of high-speed spindle considering structural constraints under oil-air lubrication, Tribology International, 109 (2017) 593–601.
J. J. Kim, Y. H. Jevon and D. W. Cho, Thermal behavior of a machine tool equipped with linear motors, International J. of Machine Tools & Manufacture, 44 (7) (2004) 749–758.
L. Wang, Z. M. Ke, F. Jia and X. S. Wang, Temperature field simulation and experiment research of high speed press, Forging & Stamping Technology, 36 (4) (2011) 80–84.
L. Wang, F. Y. Xu and X. S. Wang, Analysis of thermally induced machine tool errors of a crank press, Proceedings of the Institution of Mechanical Engineers Part B J. of Engineering Manufacture, 226 (9) (2012) 1465–1478.
Y. Chen, Y. Sun and W. X. Ding, Thermo-mechanical coupling model and dynamical characteristics of press actuator, Procedia Engineering, 81 (2014) 1657–1662.
F. F. Hu, Y. Sun and B. B. Peng, Dynamic characteristics analysis and experimental verification of high-speed precision punch press based on coupled thermal-mechanical model, Procedia Engineering, 81 (2014) 1651–1656.
Z. Chval, Effect of heat load on a forging press, Procedia Engineering, 69 (1) (2014) 897–901.
E. L. Zheng, F. Jia and S. H. Zhu, Thermal modelling and characteristics analysis of high speed press system, International J. of Machine Tools & Manufacture, 85 (7) (2014) 87–99.
E. L. Zheng, S. L. Xie, J. Zhang, Y. Zhu, X. Zhao, X. Z. Lin and M. Kang, An improved thermal model for characteristics analysis of multi-link ultra-precision press system, J. of Mechanical Science and Technology, 32 (1) (2018) 291–313.
L. Y. Kong, Simulation, experiment, and optimization method for thermal characteristics of machine tool, Heat Transfer-Asian Research, 46 (6) (2017) 532–545.
Z. X. Zhao, Y. K. Wang, Z. L. Wang and J. Y. Liu, Thermal analysis for the large precision EDM machine tool considering the spark energy during long-time processing, J. of Mechanical Science and Technology, 33 (2) (2019) 773–782.
M. Machado, J. Costa, E. Seabra and P. Flores, The effect of the lubricated revolute joint parameters and hydrodynamic force models on the dynamic response of planar multibody systems, Nonlinear Dynamics, 69 (1-2) (2012) 635–654.
Y. Cao and Y. Altintas, A general method for the modeling of spindle-bearing systems, J. of Mechanical Design, 126 (6) (2004) 557–566.
S. Wang, Real contact area of fractal-regular surfaces and its implications in the law of friction, J. of Tribology, 126 (1) (2004) 1–8.
S. G. Ponnambalam, P. Aravindan and M. S. Rao, Genetic algorithms for sequencing problems in mixed model assembly lines, Computers & Industrial Engineering, 45 (4) (2003) 669–690.
D. J. Cheng, J. H. Park, J. S. Suh, S. J. Kim and C. H. Park, Effect of frictional heat generation on the temperature distribution in roller linear motion rail surface, J. of Mechanical Science and Technology, 31 (3) (2017) 1477–1487.
X. Min and S. Y. Jiang, A thermal model of a ball screw feed drive system for a machine tool, Proceedings of the Institution of Mechanical Engineers, Part C: J. of Mechanical Engineering Science, 225 (1) (2011) 186–193.
S. Y. Jiang and S. L. Zhu, Dynamic characteristic parameters of linear guideway joint with ball screw, J. of Mechanical Engineering, 46 (2) (2010) 92–98.
S. Y. Jiang, Y. J. Zheng and H. Zhu, A contact stiffness model of machined joint surfaces based on fractal theory, J. of Tribology, 132 (1) (2010).
S. Jiang and Y. Zheng, An analytical model of thermal contact resistance based on the Weierstrass–Mandelbrot fractal function, Proceedings of the Institution of Mechanical Engineers Part C J. of Mechanical Engineering Science, 224 (4) (2010) 959–967.
A. Majumdar and B. Bhushan, Fractal model of elasticplastic contact between rough surfaces, J. of Tribology, 113 (1) (1991) 1–11.
H. Li and Y. C. Shin, Integrated dynamic thermomechanical modeling of high speed spindles, Part 1: Model development, J. of Manufacturing Science & Engineering, 126 (1) (2004) 148–158.
X. M. Zhang, Z. P. Ren and F. M. Mei, Heart Transfer, 5th ed., Construction Industry Press, Beijing, China (2001).
This work was supported by the following research projects: “The Fundamental Research Funds for the Central Universities”, Grant # KYTZ201603, “Innovation Fund of Science and Technology for Outstanding Youth from College of Engineering, Nanjing Agricultural University” Grant # YQ201606, and “Qing Lan Project of Jiangsu Province”, Grant # 80400103.
Recommended by Associate Editor Hyeong-Joon Ahn
Enlai Zheng received his B.S and Ph.D. in mechanical engineering from Nanjing Institute of Technology and Southeast University in 2008 and 2013. He is currently an Associate Professor of mechanical engineering at Nanjing Agricultural University. His research field is mainly focused on dynamic design and control of machine.
Yuanzhao Yang received his B.S. in mechanical engineering and automation, Nanjing Agricultural University in 2018. He is currently a postgraduate student and pursuing the M.S. in mechanical engineering from Nanjing Agricultural University. His research interest is thermal error modelling, analysis and compensation of machine.
Zhaohui Peng received his B.S. in material forming and control engineering from the College of Engineering, Nanjing Agricultural University in 2017. He is currently a postgraduate student pursuing the M.S. in mechanical engineering from Nanjing Agricultural University. His research interest is thermal error modelling, analysis and compensation of machine.
Yue Zhu received his B.S. and M.S. in mechanical engineering from Jiangsu University of Science and Technology, and Southwest University of Science and Technology in 1998 and 2007. He received his Ph.D. degree in mechanical engineering from Nanjing University of Aeronautics & Astronautics in 2011. He is currently a lecturer in mechanical engineering at Nanjing Agricultural University. His research interest is focused on model updating and validation, and vibration control.
Xiao Zhao received his B.S and Ph.D. in materials science and engineering from Huazhong University of Science and Technology in 2011 and 2016. He is currently a research fellow in the Faculty of Engineering and the Environment in University of Southampton. His research interest is focused on thermal error modelling and compensation of mechanical system.
Xiangze Lin received his B.S. and M.S. from Southeast University in 2000 and 2006. He received his Ph.D. from Nanjing University of Science and Technology in 2012. He is currently an Associate Professor in the College of Engineering, Nanjing Agricultural University. His main research interests include design and control of machine.
Min Kang received his B.S. and M.S. in mechanical engineering from North-eastern University and Xi’an Jiaotong University in 1986 and 1989. He received his Ph.D. in mechanical engineering from Nanjing University of Aeronautics and Astronautics in 2003. He is currently a Professor in the College of Engineering in Nanjing Agricultural University. His research interest is focused on design and control of machining technology and machine.
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Zheng, E., Yang, Y., Peng, Z. et al. Thermal characteristics analysis and error prediction for lubricated multi-link high-speed precision presses. J Mech Sci Technol 33, 2537–2559 (2019). https://doi.org/10.1007/s12206-019-0503-y
- Oil lubrication
- Angular contact ball bearing
- Absolute nodal coordinate formulation
- Finite element method
- Multi-link mechanism