СOMPARATIVE CHARACTERISTICS AND SELECTION OF SPEED BEARINGS

The characteristics of bearing supports have been considered. Improving the efficiency of mechanical processing, the quality of operation of mechanisms that use sliding bearing supports, and ensuring stable operation are always important tasks. Solving these tasks contributes to reducing labor costs, reducing operating costs, and increasing the productivity of individual operations. The following main criteria are proposed for the selection of supports: the magnitude of the loads that supports can withstand; the range of allowable shaft rotation frequencies; accuracy in maintaining the position of the axis of shaft rotation; stability of shaft rotation (possibility of auto-oscillations and undesirable transient processes); energy costs and economic indicators of manufacturing and operation; vibroacoustic characteristics (noise level, sound level).

The study of the movement of the working body that separates the friction pairs in the bearing is based on two fundamental laws of hydrodynamic lubrication theory: the law of mass conservation and the law of momentum conservation. Mathematical models of supports with fluid lubrication, based on the Navier-Stokes equations, were used. The requirements for bearing supports are formulated on the basis of the tasks solved by the entire mechanism. The flow parameters of the working body affect the load-bearing capacity of radial bearings, and the proposed evaluation dependencies can also be used for tapered supports. The calculation results indicate a significant influence of the flow parameters of the working body on the expansion of the areas of rarefaction and the range of their values, as well as on the reduction of the area and range of increased pressures. It has been established that with small shaft eccentricities rotating at speeds of 60-70 m/s and with a radial clearance of 80 μm, the increase in load capacity can reach 20%. An important qualitative feature has been identified: with an increase in the Reynolds number Re*, the load capacity of the bearing increases. The greatest intensity of changes in load capacity due to the influence of flow parameters of the working body is observed at a relative eccentricity of e = 0.2 - 0.4. The terms in the Navier-Stokes equation that take into account the parameters of the working fluid flow can have values that are comparable to other terms, so ignoring them is not always permissible.

[1] S. Srinivasan, S. Sahoo, S. K. Acharya, "Hydrodynamic Characteristics of Porous Journal Bearing with End Seepage Effect", Journal of Engineering Tribology, vol. 233, no. 10, pp. 1567-1581, 2019.
[2] A. Kumar, A. Kumar, A. Dwivedi, "A Review on Hybrid Bearings for Turbomachinery Applications", Journal of Engineering for Gas Turbines and Power, vol. 142, no. 10, 2020.
[3] B. T. Yilbas, A. Javed, "Thermo-mechanical analysis of a circular journal bearing operating with couple stress lubricant using the stochastic finite element method", International Journal of Mechanical Sciences, vol. 194, pp. 105823, 2021.
[4] X. Chen, Y. Zhang, Y. Cao, "Investigation of the Dynamic Characteristics of a Rotor Supported by a Spherical Hydrodynamic Bearing", International Journal of Rotating Machinery, vol. 2019, pp. 1-12, 2019.
https://doi.org/10.1155/2019/2040637
https://doi.org/10.1155/2019/2040637
https://doi.org/10.1155/2019/2040637
[5] R. Kumar, S. K. Singh, S. S. Bhadauria, "Theoretical analysis of circular journal bearing with non-Newtonian couple stress lubricant", Journal of Mechanical Science and Technology, vol. 35, no. 2, pp. 657-667, 2021.
[6] C. Zhang, Y. Chen, Y. Wang, C. Cai, Y. Zhang, "Thermal Deformation and Temperature Distribution in a Hydrostatic Spindle System", International Journal of Precision Engineering and Manufacturing, vol. 18, no. 7, pp. 905-915, 2017.
[7] H. Liu, Z. Wei, L. Zhang, "A thermal error compensation model for spindle systems based on gray system theory and wavelet analysis", Precision Engineering, vol. 50, pp. 232-240, 2017.
[8] D. Cho, S. Lee, D. Lee, "Thermal behavior of hydrostatic bearings for machine tool spindle", Journal of Mechanical Science and Technology, vol. 29, no. 7, pp. 2943-2950, 2015.
[9] Z. Li, W. Li, X. Li, Y. Li, X. Li, "Thermal Analysis and Experimental Verification of Hydrostatic Spindle System in Ultra-Precision Grinding", Applied Sciences, vol. 9, no. 13, pp. 2768, 2019.
[10] M. Wojtewicz, T. Litwin, and A. Ratajczak, "Modeling and simulation of thermal errors in machine tools," Int. J. Adv. Manuf. Technol., vol. 87, no. 9-12, pp. 2829-2841, 2016.
[11] J. Chen, Y. Chen, K. Tang, and J. Zhang, "Thermal errors in machine tools: state-of-the-art review and future trends," Int. J. Adv. Manuf. Technol., vol. 95, no. 1-4, pp. 739-753, 2018.
[12] X. Guo, L. Li, Y. Liu, X. Zhang, and G. Zhang, "Thermal behavior analysis of hydrostatic bearing with cooling system in machine tool spindle," Int. J. Adv. Manuf. Technol., vol. 95, no. 5-8, pp. 2735-2746, 2018.
[13] P. Maneewarn, S. Boonchuay, and C. Petcherdchai, "Radial-Axial Hybrid Rolling Bearings for Machine Tool Spindles," Tribol. Int., vol. 113, pp. 338-345, 2017.
[14] D. Lee and D. Cho, "Design of Radial-Axial Hybrid Rolling Bearings for Spindle Applications," Int. J. Precis. Eng. Manuf., vol. 16, no. 6, pp. 1243-1252, 2015.
[15] Chen, J. Sun, and Y. Huang, "Dynamic modeling and optimization design of radial-axial combined bearings for high-speed spindle," Mech. Mach. Theory, vol. 133, pp. 1-21, 2019.
[16] J. Sun, Q. Chen, and Y. Huang, "Load distribution and stiffness analysis of hybrid radial-axial cylindrical roller bearing for high-speed spindle," Mech. Syst. Signal Process., vol. 103, pp. 108-124, 2018.
[17] X. Chen, J. Liu, and J. Liu, "A Comprehensive Dynamic Model for Angular Contact Ball Bearing-Based Spindle Systems," Mech. Syst. Signal Process., vol. 115, pp. 370-388, 2019.
[18] N. Arifin, A. Sugiana, and B. Yulianto, "Design and development of radial-axial cylindrical roller bearing for high speed spindle application," J. Eng. Technol. Sci., vol. 51, no. 2, pp. 236-249, 2019.
[19] J. Li, Y. Li, X. Li, and W. Li, "Optimization of Radial-Axial Rolling Bearings for High-Speed Machine Tool Spindles," Int. J. Adv. Manuf. Technol., vol. 89, no. 5-8, pp. 1391-1399, 2017.