Influence mechanism of the oil film contact surface error of the hydrostatic guide rail on the geometric error of the guide rail
ZHANG Yun1, CAO Cong1,2, JIANG Zhong3, WANG LiPing1
1. Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China; 2. School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China; 3. Institute of Machinery Manufacturing Technology, China Academy of Engineering Physics, Mianyang 621900, China
Abstract:With the advancement of research and development of weapon systems in China's major scientific projects and defense fields, diamond turning is widely used in the processing of high-performance parts, such as the precision of physical experimental samples and optical parts. Hydrostatic guideways have become the core components of ultraprecision lathes due to their high precision and rigidity. Its geometric error is critical in determining the machining accuracy of ultraprecision lathes. The main factors influencing the geometric errors of hydrostatic guide rails are manufacturing and assembly errors, as well as deformation errors caused by oil pressure. In this research, the fluid-structure coupling simulation model and the bolt preloading mechanical model of the hydrostatic guideway are established to improve the geometric error and accuracy retention of the hydrostatic guideway and discuss the structural deformation and bolt preloading of the hydrostatic guideway caused by the pressure due to oil supply and other factors. The error in a mathematical model to characterize the oil film joint surface under the action of manufacturing, assembly, and oil pressure is proposed using the deformation law of tight structure, and the deformation error transfer model under the action of oil film homogenization is established. The influence mechanism of the oil film bonding surface error of the guide rail pressure plate on the geometric error of the worktable is analyzed. The research shows that the error in the homogenization effect of the pressure oil film of the hydrostatic guideway makes its geometric error much lower than the surface error of its parts, but the pressure oil film cannot completely homogenize the error on the oil film joint surface. The increase in amplitude, linear error PV value, and angle error PV value are proportional as the two types of errors have the same growth rate. The maximum linear and angular geometric errors are 0.22 μm and 1.58 μrad, respectively. This shows that as the surface shape error of the parts increases, the equalization effect of the oil film error gradually weakens. Furthermore, the straightness error of the hydrostatic guideway is more sensitive to the error amplitude of the oil film joint surface, whereas the angle error is more affected by the wavelength and phase difference of the joint surface error function. Finally, the method is used to design the tolerance of hydrostatic guide rail components. When the error amplitude of the oil film bonding surface is within 3 μm, the experimentally measured guide rail straightness error is 0.26 μm/140 mm, and the pitch angle error is 1.72 μrad. The prediction result of the error transfer model for the geometric error of the worktable is close to the experimentally measured result, implying that the model prediction is adequate and the angle error is relatively large. This method can effectively predict the geometric error of the worktable in the designing stage of the guideway. Further, the present research provides a valuable reference for the manufacture and equipment of the hydrostatic guideway of the ultraprecision lathe.
张云, 曹聪, 姜忠, 王立平. 液体静压导轨油膜结合面误差对导轨几何误差的影响机制[J]. 清华大学学报(自然科学版), 2023, 63(1): 52-61.
ZHANG Yun, CAO Cong, JIANG Zhong, WANG LiPing. Influence mechanism of the oil film contact surface error of the hydrostatic guide rail on the geometric error of the guide rail. Journal of Tsinghua University(Science and Technology), 2023, 63(1): 52-61.
[1] SHAMOTO E, PARK C H, MORIWAKI T. Analysis and improvement of motion accuracy of hydrostatic feed table [J]. CIRP Annals, 2001, 50(1): 285-290. [2] HIM G, OH J S, PARK C H. Analysis of 5-DOF motion errors influenced by the guide rails of an aerostatic linear motion stage [J]. International Journal of Precision Engineering and Manufacturing, 2014, 15(2): 283-290. [3] ZHA J, XUE F, CHEN Y L. Straightness error modeling and compensation for gantry type open hydrostatic guideways in grinding machine [J]. International Journal of Machine Tools and Manufacture, 2017, 112: 1-6. [4] XUE F, ZHAO W H, CHEN Y L, et al. Research on error averaging effect of hydrostatic guideways [J]. Precision Engineering, 2012, 36(1): 84-90. [5] XUE F, ZHAO W H, CHEN Y L. Influences of moisture expansion on motion errors of granite hydrostatic guideways [J]. Advanced Materials Research, 2011, 189-193: 4339-4345. [6] ZHANG P H, CHEN Y L, ZHANG C Y, et al. Influence of geometric errors of guide rails and table on motion errors of hydrostatic guideways under quasi-static condition [J]. International Journal of Machine Tools and Manufacture, 2018, 125: 55-67. [7] WANG Z W, ZHAO W H, CHEN Y L, et al. Prediction of the effect of speed on motion errors in hydrostatic guideways [J]. International Journal of Machine Tools and Manufacture, 2013, 64: 78-84. [8] TANG H, DUAN J A, ZHAO Q C. A systematic approach on analyzing the relationship between straightness & angular errors and guideway surface in precise linear stage [J]. International Journal of Machine Tools and Manufacture, 2017, 120: 12-19. [9] JEON S Y, KIM K H. A fluid film model for finite element analysis of structures with linear hydrostatic bearings [J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2004, 218(3): 309-316. [10] QI E B, FANG Z Y, SUN T, et al. A method for predicting hydrostatic guide error averaging effects based on three-dimensional profile error [J]. Tribology International, 2016, 95: 279-289. [11] SHI C C, WANG Z Z, PENG Y F. Influence of relative difference between paired guide rails on motion accuracy in closed hydrostatic guideways [J]. Journal of Mechanical Science and Technology, 2020, 34(2): 631-648. [12] SHI C C, WANG Z Z, PENG Y F, et al. Quasi-static kinematics model for motion errors of closed hydrostatic guideways in ultra-precision machining [J]. Precision Engineering, 2021, 71: 90-102. [13] ZHA J, CHEN Y L, WANG Z W. A tolerance design method for hydrostatic guideways motion accuracy based on error averaging effect [J]. Procedia CIRP, 2018, 75: 196-201. [14] BOWES S R, BIRD B M. Novel approach to the analysis and synthesis of modulation processes in power convertors [J]. Proceedings of the Institution of Electrical Engineers, 1975, 122(5): 507-513.