Abstract
The convective heat transfer coefficient (CHTC) is a key parameter for thermal analysis. The calculation method of empirical equations cannot accurately reflect the real situation of an object, especially when the fluid temperature is a variable, making the CHTC calculation more difficult. Based on finite element (FE) thermal analysis, an iterative algorithm of FE thermal analysis combined with experimental data was proposed. Furthermore, in the thermal analysis process, the temperature of the object itself changes and the heat is not uniform. The adopted CHTCs dynamically varied with the uneven wall temperature and ambient temperature. A CHTC gradual change “dynamic boundary condition” application mode was used. The interactive iterative calculation was completed by the FE software ABAQUS 6.14 and MATLAB 2016b, and a program was written to improve the calculation accuracy of the CHTC using multiple iterations. Taking the machine tool ball screw feed system as an example, a large number of experiments were conducted over 1 year under different ambient temperatures to verify that the method described in this paper was accurate and feasible. In addition, the relationship between the CHTC and ambient temperature change was found determined, and an explanation was provided.
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Jędrzejewski J, Kaczmarek J, Kowal Z, Winiarski Z (1990) Numerical optimization of thermal behaviour of machine tools. CIRP Ann Manuf Technol 39(1):379–382
Lee JH, Yang SH (2002) Statistical optimization and assessment of a thermal error model for CNC machine tools. Int J Mach Tool Manu 42(1):147–155
Han J, Wang L, Wang H, Cheng N (2011) A new thermal error modeling method for CNC machine tools. Int J Adv Manuf Technol 62(1–4):205–212
Mayr J, Jedrzejewski J, Uhlmann E, Donmez MA, Knapp W, Hartig F, Wendt K, Moriwaki T, Shore P, Schmitt R, Brecher C, Wurz T, Wegener K (2012) Thermal issues in machine tools. CIRP Ann Manuf Technol 61(2):771–791
Babaelahi M, Sayyaadi H (2015) A new thermal model based on polytropic numerical simulation of Stirling engines. Appl Energy 141(1):143–159
Vyroubal J (2012) Compensation of machine tool thermal deformation in spindle axis direction based on decomposition method. Precis Eng 36(1):121–127
Zhao HT, Yang JG, Shen JH (2007) Simulation of thermal behavior of a CNC machine tool spindle. Int J Mach Tool Manu 47(6):1003–1010
Lee S (2011) An experimental apparatus measuring convective heat transfer coefficient from a heated fine wire traversing in nanofluids. J Mech Sci Technol 25(1):135–142
Weck M, McKeown P, Bonse R, Herbst U (1995) Reduction and compensation of thermal errors in machine tools. CIRP Ann Manuf Technol 44(2):589–598
Yang H, Yin GF, Fang H, Liu LX, Zhang DJ, Xu DW (2013) Research on calculation methods of convective heat transfer coefficients for machine tools' thermal analysis. J Sichuan Univ (engineering science edition) (in Chinese) 43(4):241–248
Li DX, Feng PF, Zhang JF, Wu ZJ, Yu DW (2014) Calculation method of convective heat transfer coefficients for thermal simulation of a spindle system based on RBF neural network. Int J Adv Manuf Technol 70(5–8):1445–1454
Fang CL, Sun FR, Yang L (2008) A numerical method on inverse determination of heat transfer coefficient based on thermographic temperature measurement. Chin J Chem Eng 16(6):901–908
Zhang JF, Feng PF, Chen C, Yu DW, Wu ZJ (2013) A method for thermal performance modeling and simulation of machine tools. Int J Adv Manuf Technol 68(5–8):1517–1527
Shi H, Zhang D, Yang J, Ma C, Mei X, Gong G (2015) Experiment-based thermal error modeling method for dual ball screw feed system of precision machine tool. Int J Adv Manuf Technol 82(9–12):1693–1705
Neugebauer R, Ihlenfeldt S, Zwingenberger C (2010) An extended procedure for convective boundary conditions on transient thermal simulations of machine tools. Prod Eng 4(6):641–646
Xu Z-Z, Choi C, L-j L, Li D-y, Lyu S-K (2015) Study on a novel thermal error compensation system for high-precision ball screw feed drive (2nd report: experimental verification). Int J Precis Eng Manuf 16(10):2139–2145
Awbi HB (1998) Calculation of convective heat transfer coefficients of room surfaces for natural convection. Energy and Buildings 28:219–227
Miao EM, Liu Y, Liu H, Gao ZH, Li W (2015) Study on the effects of changes in temperature-sensitive points on thermal error compensation model for CNC machine tool. Int J Mach Tool Manu 97:50–59
Miao EM, Gong YY, Dang LC, Miao JC (2014) Temperature-sensitive point selection of thermal error model of CNC machining center. Int J Adv Manuf Technol 74(5–8):681–691
Lou P, Liu NY, Chen YT, Liu Q, Zhou ZD (2017) The selection of key temperature measuring points for the compensation of thermal errors of CNC machining tools. Int J Manuf Res 12(3):338–350
Wu CH, Kung YT (2003) Thermal analysis for the feed drive system of a CNC machine center. Int J Mach Tool Manu 43(15):1521–1528
Kim JJ, Jeong YH, Cho DW (2004) Thermal behavior of a machine tool equipped with linear motors. Int J Mach Tool Manu 44(7–8):749–758
Xu M, Jiang SY, Cai Y (2007) An improved thermal model for machine tool bearings. Int J Mach Tool Manu 47(1):53–62
Lin B, Morgan MN, Chen XW, Wang YK (2008) Study on the convection heat transfer coefficient of coolant and the maximum temperature in the grinding process. Int J Adv Manuf Technol 42(11–12):1175–1186
Ma SJ, Liu G, Qiao G, Fu XJ (2015) Thermo-mechanical model and thermal analysis of hollow cylinder planetary roller screw mechanism. Mechanics Based Design of Structures and Machines 43(3):359–381
Costa SF, Duarte FM, Covas JA (2014) Thermal conditions affecting heat transfer in FDM/FFE: a contribution towards the numerical modelling of the process. Virtual and Physical Prototyping 10(1):35–46
Yun WS, Kim SK, Cho DW (1999) Thermal error analysis for a CNC lathe feed drive system. Int J Mach Tool Manu 39(7):1087–1101
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This work is supported by the National High Technology Research and Development Program of China (863 Program) by the grant no. 2015AA043302.
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Mao, X., Mao, K., Wang, F. et al. A convective heat transfer coefficient algorithm for thermal analysis of machine tools considering a temperature change. Int J Adv Manuf Technol 99, 1877–1889 (2018). https://doi.org/10.1007/s00170-018-2605-6
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DOI: https://doi.org/10.1007/s00170-018-2605-6