0
Research Papers

A Predictive Model for Temperature Rise of Spindle–Bearing Integrated System

[+] Author and Article Information
Xiaolei Deng

College of Mechanical Engineering,
Quzhou University,
Quzhou 324000, China;
State Key Lab of Fluid Power
and Mechatronic Systems,
Department of Mechanical Engineering,
Zhejiang University,
Hangzhou 310027, China
e-mail: dxl@zju.edu.cn

Jianzhong Fu

State Key Lab of Fluid Power
and Mechatronic Systems,
Department of Mechanical Engineering,
Zhejiang University,
Hangzhou 310027, China

Yuwen Zhang

Fellow ASME
Department of Mechanical
and Aerospace Engineering,
University of Missouri,
Columbia, MO 65211

1This work was completed during the first author's visiting appointment at Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO 65211.

Contributed by the Manufacturing Engineering Division of ASME for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received January 3, 2014; final manuscript received December 17, 2014; published online January 20, 2015. Assoc. Editor: Allen Y. Yi.

J. Manuf. Sci. Eng 137(2), 021014 (Apr 01, 2015) (10 pages) Paper No: MANU-14-1007; doi: 10.1115/1.4029445 History: Received January 03, 2014; Revised December 17, 2014; Online January 20, 2015

Abstract

In order to obtain the thermal characteristics of the spindle–bearing integrated system of the computer numerical control (CNC) machine tools effectively, a mathematical model is established by employing the heat source method (HSM). The thermal characteristics of spindle–bearing system are identified by using the derived mathematical formula, and the presented model is validated by the finite element method (FEM) under four types of conditions corresponding to different heat intensities, heat transfer coefficients, geometrical model sizes, and heat source positions. Compared with the FEM, the presented model has better computational efficiency. The temperature fields of the two spindle systems of a CNC machine tool are predicted by using the present model. The predicted temperature field is compared with the measured data and results show that the maximum relative errors for the two systems are 0.41% and 8.38%, respectively. The proposed model has a potential to be applied in calculating temperature field and thermal deformation or other related engineering area.

<>

References

Mayr, J., Jedrzejewski, J., Uhlmann, E., Alkan Donmeze, M., Knapp, W., Härtig, F., Klaus, W., Toshimichi, M., Paul, S., Robert, S., Christian, B., Timo, W., and Wegenerb, K., 2012, “Thermal Issues in Machine Tools,” CIRP Ann. Manuf. Technol., 61(2), pp. 771–791.
Holkup, T., Cao, H. P., Kolar, Y., Kolářa, P., Altintas, Y., and Zelený, J., 2010, “Thermo-Mechanical Model of Spindles,” CIRP Ann. Manuf. Technol. 59(1), pp. 365–368.
Jedrzejewski, J., Kowal, Z., and Kwasny, W., 2004, “Hybrid Model of High Speed Machining Center Headstock,” CIRP Ann. Manuf. Technol., 53(1), pp. 285–288.
Su, H., Lu, L., Liang, Y., Zhang, Q., and Sun, Y., 2014, “Thermal Analysis of the Hydrostatic Spindle System by the Finite Volume Element Method,” Int. J. Adv. Manuf. Technol., 71(9–12), pp. 1949–1959.
Xiang, S. T., Lu, H. X., and Yang, J. G., 2014, “Thermal Error Prediction Method for Spindles in Machine Tools Based on a Hybrid Model,” J. Eng. Manuf., 9, pp. 1–11.
Abuaniza, A., Fletcher, S., and Longstaff, A. P., 2013, “Thermal Error Modeling of a Three Axes Vertical Milling Machine Using Finite Element Analysis (FEA),” Computing and Engineering Annual Researchers' Conference, CEARC'13, University of Huddersfield, Huddersfield, UK, pp. 87–92.
Deng, X. L., Fu, J. Z., He, Y., and Chen, Z. C., 2013, “Multi-Field Coupling Thermal Characteristics Analysis for Spindle System of Precision CNC Machine Tool,” J. Zhejiang Univ. (Eng. Sci.), 47(10), pp. 1863–1870.
Chien, C. H., and Jang, J. Y., 2008, “3-D Numerical and Experimental Analysis of a Built-in Motorized High-Speed Spindle With Helical Water Cooling Channel,” Appl. Therm. Eng., 28(17), pp. 2327–2336.
Creighton, E., Honegger, A., Tulsian, A., and Mukhopadhyay, D., 2010, “Analysis of Thermal Errors in a High-Speed Micro-Milling Spindle,” Int. J. Mach. Tools Manuf., 50(4), pp. 386–393.
Hou, Z. B., and He, S. J., 1984, Heat Conduction Within a Solid, Shanghai Science and Technology Publishing House, Shanghai, China, pp. 67–125.
Ranga, K., and Hou, Z. B., 2000, “Thermal Modeling of the Metal Cutting Process. Part I: Temperature Rise Distribution due to Shear Plane Heat Source,” Int. J. Mech. Sci., 42(9), pp. 1715–1752.
Hou, Z. B., and Ranga, K., 2000, “General Solutions for Stationary/Moving Plane Heat Source Problems in Manufacturing and Teratology,” Int. J. Heat Mass Transfer, 43(10), pp. 1679–1698.
Ranga, K., and Hou, Z. B., 2001, “Thermal Modeling of the Metal Cutting Process. Part II: Temperature Rise Distribution Due to Frictional Heat Source at the Tool-Chip Interface,” Int. J. Mech. Sci., 43(1), pp. 57–88.
Ranga, K., and Hou, Z. B., 2001, “Thermal Modeling of the Metal Cutting Process: Part III: Temperature Rise Distribution Due to the Combined Effects of Shear Plane Heat Source and the Tool-Chip Interface Frictional Heat Source,” Int. J. Mech. Sci., 43(1), pp. 89–107.
Hou, Z. B., 1986, “A New Approach of Thermal Behavior Analysis of Case-Shape Parts of Precision Machine-Tools,” J. Tongji Univ., 14(4), pp. 491–500.
Xu, L. Q., and Kong, Q. H., 1991, “Fast Calculation and Analysis for Temperature Field of Roltap,” Cutlery Res., 3, pp. 18–25.
Wang, F. L, 2003, “Research on Visualization and Evaluation Criteria of Temperature Field for Milling Insert With 3D Complex Groove,” Master thesis, University of Science and Technology, Harbin, China.
Guo, W. H., 2008, “Research on Temperature Field Under Irregular Hot Source of Milling Insert Based on CA,” Master thesis, Harbin University of Science and Technology, Harbin, China.
Wang, X., 2005, “The Analysis of Effect and the Identification for Heat Source on Heated Structure of RLV,” Master thesis, Northwestern Polytechnic University, Fremont, CA.
Ranga, K., and Hou, Z. B., 2009, “Unified Approach and Interactive Program for Thermal Analysis of Various Manufacturing Processes With Application to Machining,” Int. J. Mach. Sci. Technol., 13(2), pp. 143–176.
Carlaw, H. S., and Jaeger, J. C., 1986, Conduction of Heat in Solids, 2nd ed., Oxford University Press, Oxford, UK, pp. 188–214.
Gaponenko, N. P., and Zaks, D. I., 1969, “The Method of Images for Solving the Equations of Heat Conduction in Layered Media,” J. Eng. Phys., 17(3), pp. 1162–1166.
Ruan, D., 1999, “Heat Conduction due to Moving Heat Sources in Semi-Infinite Body,” J. Chongqing Univ. (Natural Science Edition), 22(1), pp. 66–71.
Li, L. Y., 2000, “Penetration Control on Top Face Information of Temperature Field in Arc Welding: A Three-Dimensional Analytical Model of Temperature Field and Experiment Evaluation,” Chin. J. Mech. Eng., 36(9), pp. 37–40.
Liu, H. W., and Liang, X. G., 2002, “Thermal Analysis of Single BULK-Si, SOI, and DSOI MOSFET,” J. Eng. Thermophys., 23(4), pp. 461–463.
Wang, H. X., Hua, P., Sun, J. S., and Yang, Z. D., 2004, “Analytical Solution of Temperature Field During MAG Welding Process Based on a Group of Elementary Point Heat Sources Along Coordinate Axes,” J. Shangdong Univ. (Eng. Sci.), 34(1), pp. 25–29.
Chai, J. A., Liang, Y. C., Li, Y. M., Meng, F. F., Fang, X. M., and Li, Y. M., 2008, “Heat Charge Simulation Method to Calculate Steady-State Temperature Field of Underground Heat Pipe,” High Voltage Appar., 44(1), pp. 43–46.
Jiang, Q., Shou, Q., Zheng, Y. J., Liang, Y. B., Hu, W., and Guo, Q., 2010, “Steering of Nonlocal Optical Soliton in Rectangular Boundary Lead Glass,” Acta Phys. Sin., 59(1), pp. 329–335.
Li, C. S., and Huang, D. B., 2007, Materials of Mechanical Engineering Handbook, Publish House of Electronics Industry, Beijing, China, pp. 69–169.
Harris, T. A., and Kotzals, M. N., 2007, Essential Concepts of Bearing Technology, CRC Press, Boca Raton, FL, pp. 151–201.

Figures

Fig. 3

Coordinate diagram of instantaneous finite large CSHS temperature field

Fig. 2

Coordinate diagram of instantaneous finite LHS temperature field

Fig. 1

Temperature field boundary treatment of spindle–bearing integrated system: (1) real heat source; (2) cylindrical surface; and (3) image heat source. (a) 3D CAD structure model. (b) 2D CAD structure model with heat sources, boundaries, and dimensions.

Fig. 4

The temperature rise history of a certain point A in the conductor

Fig. 9

Comparison of mathematical, experimental, and FEM results (the inset figures are temperature distribution contours of FE model: temperature at thermal equilibrium state). (a) C1 Sensit result. (b) C2 Sensit result.

Fig. 6

Comparison of results with the different geometry model size: H = 37.765 W, hc = 33 W/m2 °C (the inset figures are temperature distribution contours of FE model: temperature at t = 9000 s.)

Fig. 7

The sensors layout chart of measure points (left: a machine tool with eight temperature sensors configuration; middle: spindle–bearing system CAD model; and right: eight temperature sensors in CAD model).

Fig. 8

Experiment results of eight temperature sensors

Fig. 5

Comparison of results with the same geometry model size under different conditions (the inset figures are temperature distribution contours of FE model: temperature at t = 9000 s). (a) H = 50 W, hc = 35 W/m2 °C. (b) H = 80 W, hc = 35 W/m2 °C. (c) H = 50 W, hc = 25 W/m2 °C.

Fig. 10

Deformation of spindle in the axis of spindle

Fig. 11

Thermal error experiment setup. (a) Accessorial plane substitute. (b) Installation of noncontact laser sensor.

Fig. 12

Thermal deformation history curves of spindle in the axis direction

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related Proceedings Articles
Related eBook Content
Topic Collections