A thermal model of a ball screw feed drive system for a machine tool

Abstract

The feed drive system is a major heat source of machine tools, which results in considerable thermal drift at the tool. Therefore, there is a need to establish a scientific and systematic model that can be used to predict the temperature distribution of the feed drive system. In this research, considering the thermal contact resistance between the bearing and its housing, an integrated thermal model has been developed by the aid of the finite-element method to analyse the temperature distribution of a ball screw feed drive system, in particular the theoretical determination of power losses caused by the friction in ball screw pair, rolling bearings, and guide ways. Thermal boundary conditions including the convective heat transfer coefficients and heat flux have been obtained using the Fourier's law. Results reveal that the ball screw shaft surface has a uniform temperature rise of 4.2 °C under a given condition. The temperature rise agrees with the data obtained by an infrared thermometer.

Keywords

ball screw feed drive system thermal model finite-element method temperature rise

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References

Bryan

, ‘International status of thermal error research (1990)’ CIRP Ann.– Manuf. Technol. 39 2 (1990): 645–656.

Junyong

Youmin

Tielin

, ‘Experimental research on factors influencing thermal dynamics characteristics of feed system’ Precis. Eng. 34 2 (2010): 357–368.

Heisel

Koscsák

Stehle

, ‘Thermography-based investigation into thermally induced positioning errors of feed drives by example of a ball screw’ CIRP Ann.– Manuf. Technol. 55 1 (2006): 423–426.

Kim

S. K.

Cho

A. W.

, ‘Real-time estimation of temperature distribution in a ball screw system’ Int. J. of Machine Tools & Manufacture 37 4 (1997): 451–464.

Yun

W. S.

Kim

S. K.

Cho

D. W.

, ‘Thermal error analysis for a CNC lathe feed drive system’ Int. J. Mach. Tools Manuf. 39 7 (1999): 1087–1101.

Huang

S.-C.

, ‘Analysis of a model to forecast thermal deformation of ball screw drive system’ Int. J. Mach. Tools Manuf. 35 8 (1995): 1099–1104.

Junyong

Youmin

Tielin

, ‘Research on the thermal dynamic characteristics and modeling approach of ball screw’ Int. J. Adv. Manuf. Technol. 43 5–6 (2008): 421–430.

Horejš

, ‘Thermo-mechanical model of ball screw with non-steady heat sources’ -mechanical model of ball screw with non-steady heat sourcesProceedings of the First International Conference on Thermal issues in emerging technologies, theory and applications, ThETA1, Cairo, 3–6 January 2007, pp. 133–137 (IEEE Computer Society USA).

C.-H.

Kung

Yu.-T.

, ‘Thermal analysis for the feed drive system of a CNC machine center’ Int. J. Mach. Tools Manuf. 43 15 (2003): 1521–1528.

10.

Schulz

Schmitt

, ‘Model-based determination of heat generation in the mechanical structure of high speed feed drive systems’ Prod. Eng. 1 2 (1994): 89–92.

11.

Harris

T. A.

, Roll bearing analysis (New York: Wiley Sons 1991).

12.

Palmgren

, Ball and roller bearing engineering (Philadelphia, PA: S.H. Burbank 1959).

13.

Tenjitus

, ‘Solution for heating of ball screw and environment engineering’ Key Compon. CNC Mach. Tool 3 (2002): 65–67.

14.

Guangren

, Foundation of Ball screw drive design (Beijing: Mechanical Industry Press 1987).

15.

Bossmanns

J. F.

, ‘A thermal model for high speed motorized spindles’ Int. J. Mach. Tools Manuf. 39 9 (1999): 1345–1366.

16.

Tanabe

Takada

, ‘Thermal deformation of machine tool structures using resin concrete’ Jpn. Soc. Mech. Engrs C 37 2 (1994): 384–389.

17.

Choi

J. K.

Lee

D. G.

, ‘Thermal characteristics of the spindle bearing system with a gear located on the bearing span’ Int. J. Mach. Tools Manuf. 38 9 (1998): 1017–1030.

18.

Qinghong

, ‘Analysis of thermal characteristics and thermal deformation of high-speed spindle system in NC precision lathe’ J. Southeast Univ., Nat. Sci. Ed. 35 2 (2005): 231–234.