Many researchers concentrate on improving the stiffness and stability of aerostatic bearings, however the contradiction between stiffness and stability is still existed. Therefore, orifice, multiple, and porous restrictors are designed to illustrate the influence of restrictor characteristics on the stability and stiffness of the aerostatic circular pad bearings. Because both the stiffness and stability of aerostatic bearings are determined by the internal pressure distribution, the full Navier-Stokes (N-S) equations are applied to solve internal pressure distribution in bearing film by using computational fluid dynamics (CFD) method. Simulation results present that the stiffness and stability of aerostatic circular pad bearings are influenced significantly by geometrical and material parameters, such as film thickness, orifice diameters, and viscous resistance coefficient. Verified by the experimental data, the micro vibration of orifice restrictor is almost the same as multiple restrictors with amplitude of 0.02 m/s2, but it is much stronger than the porous restrictors with acceleration of 0.006 m/s2. The optimal stiffness of multiple restrictors increased by 46%, compared to only 30.2 N/μm of orifice restrictor, and the porous restrictors had obvious advantage in the small film thickness less than 6 μm where the optimal stiffness increased to 38.3 N/μm. The numerical and experimental results provide guidance for improving the stiffness and stability of aerostatic bearings.
Hai-Long Cui
,
Yang Wang
,
Bao-Rui Wang
,
Hong Yang
,
Huan Xia
. Numerical Simulation and Experimental Verifcation of the Stifness and Stability of Thrust Pad Aerostatic Bearings[J]. Chinese Journal of Mechanical Engineering, 2018
, 31(2)
: 23
-23
.
DOI: 10.1186/s10033-018-0228-3
Many researchers concentrate on improving the stiffness and stability of aerostatic bearings, however the contradiction between stiffness and stability is still existed. Therefore, orifice, multiple, and porous restrictors are designed to illustrate the influence of restrictor characteristics on the stability and stiffness of the aerostatic circular pad bearings. Because both the stiffness and stability of aerostatic bearings are determined by the internal pressure distribution, the full Navier-Stokes (N-S) equations are applied to solve internal pressure distribution in bearing film by using computational fluid dynamics (CFD) method. Simulation results present that the stiffness and stability of aerostatic circular pad bearings are influenced significantly by geometrical and material parameters, such as film thickness, orifice diameters, and viscous resistance coefficient. Verified by the experimental data, the micro vibration of orifice restrictor is almost the same as multiple restrictors with amplitude of 0.02 m/s2, but it is much stronger than the porous restrictors with acceleration of 0.006 m/s2. The optimal stiffness of multiple restrictors increased by 46%, compared to only 30.2 N/μm of orifice restrictor, and the porous restrictors had obvious advantage in the small film thickness less than 6 μm where the optimal stiffness increased to 38.3 N/μm. The numerical and experimental results provide guidance for improving the stiffness and stability of aerostatic bearings.
[1] D Huo, K Cheng, F Wardle. Design of a 5-axis ultraprecision micro milling machine-ultramill:part 1:holistic design approach, design considerations, and specifications. International Journal of Advanced Manufacturing Technology, 2010, 47:867-877.
[2] S Y Gao, K Cheng, H Ding. Multiphyscials-based design and analysis of the high-speed aerostatic spindle with application to micro-milling. Proceedings of the IMechE, Part J:Journal of Engineering Tribology, 2016, 230(7):852-871.
[3] J L Yuan, F H Zhang, Y F Dai, et al. Development research of science and technologies in ultra-precision machining field. Chinese Journal of Mechanical Engineering, 2010, 46(8):161-177. (in Chinese)
[4] W Wang, Z Jiang, W Tao, et al. A new test part to identify performance of five-axis machine tool-part Ⅰ:geometrical and kinematic characteristics of S part. International Journal of Advanced Manufacturing Technology, 2015, 79:1-10.
[5] C An, Y Zhang, Q Xu, et al. Modeling of dynamic characteristic of the aerostatic bearing spindle in an ultra-precision fly cutting machine. International Journal of Machine Tools and Manufacture, 2010, 50(4):374-85.
[6] S Y Gao, K Cheng, H Ding. CFD based investigation on influence of orifice chamber shapes for the design of aerostatic thrust bearings at ultra-high speed spindles. Tribology International, 2015, 92:211-221.
[7] Y Li, H Ding. Influences of the geometrical parameters of aerostatic thrust bearing with pocketed orifice-type restrictor on its performance. Tribology International, 2007, 40:1120-1126.
[8] J Renn, C Hsiao. Experimental and CFD study on the mass flow-rate characteristic of gas through orifice-type restrictor in aerostatic bearings. Tribology International, 2004, 37:309-315.
[9] K Cheng, W B Rowe. A selection strategy for the design of externally pressurized journal bearings. Tribology International, 1995, 28(7):465-474.
[10] Y S Chen, C C Chiu, Y D Cheng. Influences of operational conditions and geometric parameters on the stiffness of aerostatic journal bearings. Precision Engineering, 2010, 34:722-734.
[11] M T Neves, V A Schwarz, G J Menon. Discharge coefficient influence on the performance of aerostatic journal bearings. Tribology International, 2010, 43:746-751.
[12] J J Du, G Q Zhang, D Liu. Influences of pressure-equalizing groove on the load capacity of externally pressurized gas journal bearings. Chinese Journal of Mechanical Engineering, 2012, 48(8):106-112. (in Chinese)
[13] X D Chen, X M He. The effect of the recess shape on performance analysis of the gas-lubricated bearing in optical lithography. Tribology International, 2006, 39:1336-1341.
[14] N Bhat, S Kumar, W Tan. Performance of inherently compensated flat pad aerostatic bearings subject to dynamic perturbation forces. Precision Engineering, 2012, 36:399-407.
[15] U Nishio, K Somaya, S Yoshimoto. Numerical calculation and experimental verification of static and dynamic characteristic of aerostatic thrust bearings with small feedholes. Tribology International, 2011, 44:1790-1795.
[16] Z W Wang, A Sun. Research and development for supersonic phenomenon of externally pressure gas lubrication bearings. Chinese Journal of Mechanical Engineering, 2006, 42(1):6-10. (in Chinese)
[17] W L Xiong, Z Q Hou, L Lv. Study on the mechanism of hydrostatic spindle rotational error motion. Chinese Journal of Mechanical Engineering, 2014, 50(4):112-119. (in Chinese)
[18] X D Chen, H Chen, X Luo. Air vortices and nano-vibration of aerostatic bearings. Tribology Letters, 2011, 42(2):179-183.
[19] J C Zhu, H Chen, X D Chen. Large eddy simulation of vortex shedding and pressure fluctuation in aerostatic bearings. Journal of Fluids and Structures 2013, 40:42-51.
[20] E Mohamed. CFD investigation of pressure depressions in aerostatic circular thrust bearings. Tribology International, 2009, 42:1108-1117.
[21] S Yoshimoto, M Yamamoto, K Toda. Numerical calculations of pressure distribution in the bearing clearance of circular aerostatic thrust bearings with a single air supply inlet. Transactions of the ASME, 2007, 29:384-390.
[22] T H Panzera, J C Rubio, C R Bowen. Microstructural design of materials for aerostatic bearings. Cement & Concrete Composites, 2008, 30:649-660.
[23] Y Otsu, M Miyatake, S Yoshimoto. Dynamic characteristics of aerostatic porous journal bearings with a surface restricted layer. Journal of Tribology, 2011, 133(1):186-192.
[24] A Charki, K Diop, S Champmartin. Numerical simulation and experimental study of thrust air bearings with multiple orifice. International Journal of Mechanical Sciences, 2013, 72:28-38.
[25] J Huang, J H Zhang, W D Shi, et al. 3D FEM analyses on flow field characteristics of the valveless piezoelectric pump. Chinese Journal of Mechanical Engineering, 2016, 29(4):825-831.
[26] D H Wu, S Q Yuan, Y Ren, et al. CFD investigation of the influence of volute geometrical variations on hydrodynamic characteristics of circulator pump. Chinese Journal of Mechanical Engineering, 2016, 29(2):315-324.
[27] N Z Wang, C Y Chang, Y Tao. An application of Newton's method to the lubrication analysis of air-lubricated bearings. Tribology Transactions, 1999, 42(2):419-424.