Abstract
In view of thermal resistance problem of the motorized spindle system, this paper proposes a thermal resistance network model of spindle-bearing-bearing pedestal based on the fractal and Hertz contact theory. According to this model and Kirchhoff’s law, the heat balance equations for thermal nodes are established and solved with Gauss-Seidel iterative method to gain temperature values of the main thermal nodes. In order to accurately understand thermal characteristics of the motorized spindle system, the effect of thermal contact resistance and thermal-conduction resistance is taken into consideration. Thermal simulation analysis is carried out on the motorized spindle system. On a precision horizontal machining center, the temperature rise of motorized spindle parts is implemented under different rotational speeds with LMS data acquisition system. It is shown that temperature values based on thermal resistance network model agree well with those of simulation analysis and experimental results. What is more, the whole thermal deformations of the main components of the motorized spindle system are analyzed.
Similar content being viewed by others
References
Liang RJ, Ye WH, Zhang HY, Yang QF (2012) The thermal error optimization models for CNC machine tools. Int J Adv Manuf Technol 63(9–12):1167–1176
Weck M, McKeown P, Bonse R, Herbst U (1995) Reduction and compensation of thermal errors in machine tools. CIRP Annals-Manuf Technol 44(2):589–598
Creighton E, Honegger A, Tulsian A, Mukhopadhyay D (2010) Analysis of thermal errors in a high-speed micro-milling spindle. Int J Mach Tools Manuf 50(4):386–393
Su H, Lu LH, Liang YC, Zhang Q, Sun YZ (2014) Thermal analysis of the hydrostatic spindle system by the finite volume element method. Int J Adv Manuf Technol 71(9–12):1949–1959
Bossmanns B, Tu JF (1999) A thermal model for high speed spindles. Int J Mach Tools Manuf 39(9):1345–1346
Bossmanns B, Tu JF (2001) A power flow model for high speed motorized spindles—heat generation characterization. Transactions of the ASME. J Manuf Sci Eng 123(3):494–505
Kim JJ, Jeong YH, Cho DW (2004) Thermal behavior of a machine tool equipped with linear motors. Int J Mach Tools Manuf 44(7–8):749–758
Liu JF, Chen XA (2014) Dynamic design for motorized spindles based on an integrated model. Int J Adv Manuf Technol 71(9–12):1961–1974
Fieberg C, Kneer R (2008) Determination of thermal contact resistance from transient temperature measurements. Int J Heat Mass Transf 51(5):1017–1023
Xu M, Jiang SY, Cai Y (2007) An improved thermal model for machine tool bearings. Int J Mach Tools Manuf 47(1):53–62
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
Holkup T, Cao H, Kolář P, Altintas Y, Zeleny J (2010) Thermo-mechanical model of spindles. CIRP Annals-Manuf Technol 59(1):365–368
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
Zhao HT, Yang JG, Shen JH (2007) Simulation of thermal behavior of a CNC machine tool spindle. Int J Mach Tools Manuf 47:1003–1010
Yan W, Komvopoulos K (1998) Contact analysis of elastic–plastic fractal surfaces. J Appl Phys 84(7):3617–3624
Wang S (2004) Real contact area of fractal-regular surfaces and its implications in the law of friction. J Tribol 126(1):1–8
Warren TL, Krajcinovic D (1995) Fractal models of elastic-perfectly plastic contact of rough surfaces based on the Cantor set. Int J Solids Struct 32(19):2907–2922
Nakajjima K (1995) Thermal contact resistance between balls and rings of a bearing under axial, radial, and combined loads. J Thermophys Heat Transf 9(1):88–95
Zhang X, Cong PZ, Fujii M (2006) A study on thermal contact resistance at the interface of two solids. Int J Thermophys 27(3):880–895
Wolff EG, Schneider DA (1998) Prediction of thermal contact resistance between polished surfaces. Int J Heat Mass Transf 41(22):3469–3482
Jackson RL, Ghaednia H, Elkady YA, Bhavnani SH, Knight RW (2012) A closed-form multiscale thermal contact resistance model. Components, Packag Manuf Technol, IEEE Trans 2(7):1158–1171
Wang S, Komvopoulos K (1994) A fractal theory of the interfacial temperature distribution in the slow sliding regime: part I—elastic contact and heat transfer analysis. J Tribol 116(4):812–822
Wang S, Komvopoulos K (1994) A fractal theory of the interfacial temperature distribution in the slow sliding regime: part II—multiple domains, elastoplastic contacts and applications. J Tribol 116(4):824–832
Majumdar A, Bhushan B (1991) Fractal model of elastic–plastic contact between rough surfaces. J Tribol 113(1):1–11
Bianchi A, Fautrelle Y, Etay J (2008) Transferts thermiques. Dalian University of Technology Press, Dalian
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, Z., Pan, M., Zhang, A. et al. Thermal characteristic analysis of high-speed motorized spindle system based on thermal contact resistance and thermal-conduction resistance. Int J Adv Manuf Technol 76, 1913–1926 (2015). https://doi.org/10.1007/s00170-014-6350-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-014-6350-1