The Influence of Capillary Geometry on the Stiffness of Hydrostatic Bearings in Medium-Sized Cylindrical Grinding Machines: A Simulation Analysis

Authors

  • Manh-Toan Nguyen School of Mechanical Engineering, Hanoi University of Science and Technology, Hanoi 10000, Vietnam
  • The-Hung Tran School of Mechanical Engineering, Hanoi University of Science and Technology, Hanoi 10000, Vietnam
  • Duc-Do Le School of Mechanical Engineering, Hanoi University of Science and Technology, Hanoi 10000, Vietnam
  • Duc-Toan Tran School of Mechanical Engineering, Hanoi University of Science and Technology, Hanoi 10000, Vietnam
  • Duy-Thinh Bui School of Mechanical Engineering, Hanoi University of Science and Technology, Hanoi 10000, Vietnam
  • Bui Tuan Anh School of Mechanical Engineering, Hanoi University of Science and Technology, Hanoi 10000, Vietnam https://orcid.org/0000-0002-5630-0884
Volume: 14 | Issue: 4 | Pages: 15993-15999 | August 2024 | https://doi.org/10.48084/etasr.7976

Abstract

One of the most crucial parameters in the field of machine tool engineering is the stiffness of the machine tool spindle, as it has a direct impact on the precision and accuracy of machining. This paper presents a research on the effects of geometric parameters of capillary tubes, including diameter (dc) and length (lc), on the stiffness of hydrostatic bearings in machine tools. The oil pump pressure in this study was set at a range from 3 MPa to 5 MPa. The simulation results demonstrate the relationship between the capillary geometric parameters, pressure, and the stiffness of the hydrostatic spindle unit. These findings indicate a direct relationship between stiffness and pump pressure, with increases in pressure also raising lubricant temperature, which may impair cooling. The shape of the capillary directly affects the ratio of oil chamber pressure to pump pressure, which in turn affects hardness. The results of the study indicate that for spindles in machine tools, a dc ranging from 0.3 mm to 0.6 mm and a (lc/dc) ratio of between 20 and 100 are feasible based on the given stiffness requirement. It is possible to select an appropriate set of capillary parameters to achieve the best stiffness with specific requirements under the working conditions of hydrostatic bearings based on the results of the simulation analysis.

Keywords:

hydrostatic bearing, capillary parameters, stiffness, simulation analysis, machine tool

Downloads

Download data is not yet available.

References

V.-H. Pham, M.-T. Nguyen, and T.-A. Bui, "Oil pressure and viscosity influence on stiffness of the hydrostatic spindle bearing of a medium-sized circular grinding machine," International Journal of Modern Physics B, vol. 34, no. 22n24, Sep. 2020, Art. no. 2040156.

W. B. Rowe, "Chapter 2 - Basic Flow Theory," in Hydrostatic, Aerostatic and Hybrid Bearing Design, W. B. Rowe Ed. Oxford: Butterworth-Heinemann, 2012, pp. 25-48.

W. B. Rowe, "Chapter 5 - Flow Control and Restrictors," in Hydrostatic, Aerostatic and Hybrid Bearing Design, W. B. Rowe Ed. Oxford: Butterworth-Heinemann, 2012, pp. 83-113.

B.-S. Kim, G.-T. Bae, G.-N. Kim, H.-M. Moon, J. Noh, and S.-C. Huh, "A study on the thermal characteristics of the grinding machine applied hydrostatic bearing," Transactions of the Canadian Society for Mechanical Engineering, vol. 39, pp. 717–728, Sep. 2015.

H. Qiang, L. Lili, R. Fengzhang, and V. Alex, "Numerical Simulation and Experimental Study of the Hydrostatic Spindle with Orifice Restrictors," The Open Mechanical Engineering Journal, vol. 10, no. 1, Apr. 2016.

S. Uberti, G. Baronio, and D. Cambiaghi, "Study & Design of a Special Test Bench for Hydrostatic Spindle Housings,” DS 60: Proceedings of DESIGN 2010, the 11th International Design Conference, Dubrovnik, Croatia, pp. 1729–1740, 2010.

W. Chen, Y. Sun, Y. Liang, Q. Bai, P. Zhang, and H. Liu, "Hydrostatic spindle dynamic design system and its verification," Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, vol. 228, no. 1, pp. 149–155, Jan. 2014.

D.-D. Le and T.-A. Bui, "Analyzing the Effects of Lubrication Techniques on CNC Spindle Bearing Heat: An Experimental Investigation," Engineering, Technology & Applied Science Research, vol. 13, no. 5, pp. 11581–11585, Oct. 2023.

D.-D. Le, V.-H. Pham, and T.-A. Bui, "Computational and Experimental Investigation of Thermal Generation in CNC Milling Machine Spindle Βearing with the Oil-Air Lubrication Method," Engineering, Technology & Applied Science Research, vol. 14, no. 1, pp. 12900–12905, Feb. 2024.

T. A. Bui, D.-D. Le, D.-T. Tran, M.-T. Nguyen, V.-T. Tran, and N.-T. Bui, "Analyzing the Impact of Fly Ash Additive Ratio on Lubricant Properties, " Engineering, Technology & Applied Science Research, vol. 13, no. 5, pp. 11547–11554, Oct. 2023.

W. B. Rowe, "Chapter 9 - Recessed Hydrostatic Journal Bearings," in Hydrostatic, Aerostatic and Hybrid Bearing Design, W. B. Rowe Ed. Oxford: Butterworth-Heinemann, 2012, pp. 179-205.

Downloads

How to Cite

[1]
Nguyen, M.-T., Tran, T.-H., Le, D.-D., Tran, D.-T., Bui, D.-T. and Tuan Anh, B. 2024. The Influence of Capillary Geometry on the Stiffness of Hydrostatic Bearings in Medium-Sized Cylindrical Grinding Machines: A Simulation Analysis. Engineering, Technology & Applied Science Research. 14, 4 (Aug. 2024), 15993–15999. DOI:https://doi.org/10.48084/etasr.7976.

Metrics

Abstract Views: 151
PDF Downloads: 265

Metrics Information

Most read articles by the same author(s)