The internal feedback hydrostatic bearing features a distinctive structural design, playing a pivotal role in high-precision machine tools. Its performance significantly influences the improvement of machining accuracy and stiffness. In this study, the working principle of the internal feedback closed hydrostatic bearing is described, the equivalent liquid resistance model of oil circuit considering internal flow effect is established, an analysis method for evaluating the support performance of the internal feedback hydrostatic bearing is proposed, flow rate correction methods are proposed, and the influence of load-carrying capacity and flow rate due to inlet pressure, oil film thickness, and the size of the restrictor is discussed. The accuracy of the method is verified by simulation, and insights for the future development of hydrostatic bearings are provided.
WodtkeMLitwinW. Water-lubricated stern tube bearing-experimental and theoretical investigations of thermal effects. Tribol Int2021; 153: 106608.
2.
MichalecMSvobodaPKřupkaI. A review of the design and optimization of large-scale hydrostatic bearing systems. Eng Sci Technol Int J2021; 24: 936–958.
3.
RenTFengM. Anti-shock characteristics of water lubricated bearing for fuel cell vehicle air compressor. Tribol Int2017; 107: 56–64.
4.
KimSShinDPalazzoloAB. A review of journal bearing induced nonlinear rotordynamic vibrations. J Tribol2021; 143: 111802.
5.
YangCShaoSChengY. Analysis and optimization of an internal feedback hydrostatic turntable oil pad power consumption based on finite difference method. Int J Precis Eng Manuf2023; 24: 2211–2228.
6.
YuXWangFZhouD. Deformation characteristics of adaptive hydrostatic thrust bearing under extreme working conditions. J Braz Soc Mech Sci Eng2020; 42: 1–11.
7.
YuXTangBWangS. High-speed and heavy-load tribological properties of hydrostatic thrust bearing with double rectangular recess. Int J Hydrogen Energy2022; 47: 21273–21286.
8.
YuXFengYGaoW. Study on lubrication performance of hydrostatic clearance oil film considering multi-factor coupling. Int J Hydrogen Energy2022; 47: 40083–40098.
9.
WangJJiangSHuangJ. Simplified calculation of recess pressure considering the hydrodynamic effect. J Tribol2023; 145: 064101.
10.
GoharaMSomayaKMiyatakeM. Static characteristics of a water-lubricated hydrostatic thrust bearing using a membrane restrictor. Tribol Int2014; 75: 111–116.
11.
BouyerJWodtkeMFillonM. Experimental research on a hydrodynamic thrust bearing with hydrostatic lift pockets: influence of lubrication modes on bearing performance. Tribol Int2022; 165: 107253.
12.
AgrawalNSharmaSC. Effect of the ER lubricant behaviour on the performance of spherical recessed hydrostatic thrust bearing. Tribol Int2021; 153: 106621.
13.
GaoSShangYGaoQ. CFD-based investigation on effects of orifice length–diameter ratio for the design of hydrostatic thrust bearings. Appl Sci-Basel2021; 11: 959.
14.
WuHHuangYCuiH. A passive compensated method with hydraulic transmission for static infinite stiffness of thrust bearing. Tribol Int2021; 163: 107193.
15.
HuangHCYangSH. Thrust-bearing layout design of a large-sized hydrostatic rotary table to withstand eccentric loads for horizontal boring machine applications. Lubricants2022; 10: 49.
16.
ZoupasLWodtkeMPapadopoulosCI. Effect of manufacturing errors of the pad sliding surface on the performance of the hydrodynamic thrust bearing. Tribol Int2019; 134: 211–220.
17.
FangCYouWHuoD. Investigations of the static and dynamic characteristics of the precision hydrostatic spindle with mid-thrust bearing under different loads. Proc Inst Mech Eng, Part J: J Eng Tribol2022; 236: 732–747.
18.
HosokawaTSomayaKMiyatakeM. Static characteristics of aerostatic thrust bearings with multiple porous inlet ports. J Tribol2015; 137: 021702.
19.
GoharaMSomayaKMiyatakeM. Static characteristics of a water-lubricated hydrostatic thrust bearing using a membrane restrictor. Tribol Int2014; 75: 111–116.
20.
KangYShenPCChangYP. Modified predictions of restriction coefficient and flow resistance for membrane-type restrictors in hydrostatic bearing by using regression. Tribol Int2007; 40: 1369–1380.
21.
LaiTHChangTYYangYL. Parameters design of a membrane-type restrictor with single-pad hydrostatic bearing to achieve high static stiffness. Tribol Int2017; 107: 206–212.
22.
WeiBJiaoYWuX. Numerical calculation of fluid film force on journal bearings based on a biconjugate gradient-stabilized algorithm. J Tribol2022; 144: 114502.
23.
DuJLiangG. Performance comparative analysis of hydrostatic bearings lubricated with low-viscosity cryogenic fluids. Tribol Int2019; 137: 139–151.
24.
ZhangPPengY. Influence of rotation speed on motion accuracy of hydrostatic journal bearing. Nonlinear Dyn2021; 105: 2959–2980.
25.
LiangPLuCPanW. A new method for calculating the static performance of hydrostatic journal bearing. Tribol Int2014; 77: 72–77.
26.
KhaksePGPhalleVMManthaSS. Performance analysis of a nonrecessed hybrid conical journal bearing compensated with capillary restrictors. J Tribol2016; 138: 011703.
27.
WangJHuangJJiangS. Analysis of maximum radial load capacity of hydrostatic journal bearing considering supply pressure limitation by a novel method. Tribol Int2023; 184: 108484.
28.
ZhangYYuSLuC. An improved lumped parameter method for calculating static characteristics of multi-recess hydrostatic journal bearings. Proc Inst Mech Eng, Part J: J Eng Tribol2020; 234: 301–310.
29.
YangXWangYJiangG. Dynamic characteristics of hydrostatic active journal bearing of four oil recesses. Tribol Trans2015; 58: 7–17.
30.
LinXJiangS. Static characteristics of high-speed water-lubricated journal bearing considering turbulence and cavitation effects. J Tribol2023; 145: 124101–1.
31.
HuangXXuGJiangS. A multiple nodes model for journal bearing considering the distributed supporting effect and the shaft deformation. J Tribol2022; 144: 104501.
32.
YangCShaoSLiY. Performance analysis and restrictor structure improvement of an internal feedback hydrostatic turntable oil pad considering internal flow. Adv Theor Simul2024; 7: 2300822.
33.
WangZZhaoWChenY. Prediction of the effect of speed on motion errors in hydrostatic guideways. Int J Mach Tools Manuf2013; 64: 78–84.
34.
WangYLiuZChengQ. Analysis and optimization of nonlinear carrying performance of hydrostatic ram based on finite difference method and runge–kutta method. Adv Mech Eng2019; 11: 1–12.
35.
OhKWLeeKAhnB. Design of pressure-driven microfluidic networks using electric circuit analogy. Lab Chip2012; 12: 515–545.
