Abstract
In the process of ultra-precision grinding, the dynamic characteristics of the aerostatic spindle system are important factors affecting the machined surface morphology. In order to study the influence of the dynamic characteristics of the spindle system on the medium frequency waviness error of the silicon wafer surface, this paper first establishes a dynamic model of the aerostatic spindle system considering the grinding force and the eccentricity of the spindle rotor based on Newton’s law and the angular momentum law, analyzes the dynamic response and frequency characteristics of the spindle system, and conducts modal tests on the spindle system to verify the accuracy of the dynamic model. Then, the power spectral density analysis of the surface morphology of the silicon wafer after grinding is carried out, and the frequency components of the intermediate frequency band of the silicon wafer surface are obtained. Compared with the characteristic frequency of the spindle system and the vibration displacement curve of the end, it is found that the dynamic characteristics of the aerostatic spindle system are the main reason for the medium frequency waviness error on the surface of the silicon wafer. Finally, an optimization scheme for structural improvement of the aerostatic spindle system is given. Through the finite element analysis of the grinding machine, it is found that the vibration displacement of the spindle end after optimization is reduced by 52.8 % compared with that before optimization, which shows that the optimization scheme is effective and provides a reference for the structural design of the aerostatic spindle system.
Similar content being viewed by others
Data availability
Data used to support the findings of this study are available from the corresponding author upon request.
Code availability
Not applicable.
References
Gao S, Huang H, Zhu XL, Kang RK (2017) Surface integrity and removal mechanism of silicon wafers in chemo-mechanical grinding using a newly developed soft abrasive grinding wheel. Mater Sci Semicond Process 63:97–106. https://doi.org/10.1016/j.mssp.2017.02.001
Li JS, Wei W, Huang X, Liu PK (2020) Study on dynamic characteristics of ultraprecision machining and its effect on medium-frequency waviness error. Int J Adv Manuf Technol 108:2895–2906. https://doi.org/10.1007/s00170-020-05557-7
Tao HF, Liu YH, Zhao DW, Lu XC (2022) Effects of wheel spindle vibration on surface formation in wafer self-rotational grinding process. Int J Mech Sci 232. https://doi.org/10.1016/j.ijmecsci.2022.107620
Yang X, An CH, Wang ZZ, Wang QJ, Peng YF, Wang J (2016) Research on surface topography in ultra-precision flycutting based on the dynamic performance of machine tool spindle. Int J Adv Manuf Technol 87:1957–1965. https://doi.org/10.1007/s00170-016-8583-7
Guo MX, Jiang XH, Ding ZS, Wu ZP (2018) A frequency domain dynamic response approach to optimize the dynamic performance of grinding machine spindles. Int J Adv Manuf Technol 98:2737–2745. https://doi.org/10.1007/s00170-018-2444-5
Wu QH, Sun YZ, Chen WQ, Chen GD (2017) Theoretical and experimental investigation of spindle axial drift and its effect on surface topography in ultra-precision diamond turning. Int J Mach Tools Manuf 116:107–113. https://doi.org/10.1016/j.ijmachtools.2017.01.006
Gao Q, Zhao H, Lu LH, Chen WQ, Zhang FH (2020) Investigation on the formation mechanism and controlling method of machined surface topography of ultra-precision flycutting machining. Int J Adv Manuf Technol 106:3311–3320. https://doi.org/10.1007/s00170-019-04869-7
Chen DJ, Li SP, Zhang X, Fan JW (2022) Relationship between dynamic characteristics of air film of aerostatic spindle and mid-frequency of surface topography. Adv Manuf 10:428–442. https://doi.org/10.1007/s40436-022-00391-4
Dong ZW, Zhang SJ, Xiong ZW, Rao XX (2018) A generalized dynamic model for spindle vibration influencing surface topography in different ultra-precision machining processes. Int J Adv Manuf Technol 96:2471–2478. https://doi.org/10.1007/s00170-018-1814-3
Chen JB, Fang QH, Li P (2015) Effect of grinding wheel spindle vibration on surface roughness and subsurface damage in brittle material grinding. Int J Adv Manuf Technol 91:12–23. https://doi.org/10.1016/j.ijmachtools.2015.01.003
Liu L, Lu LH, Gao Q, Zhang R, Chen WQ (2017) External aerodynamic force on an ultra-precision diamond fly-cutting machine tool for kdp crystal machining. Int J Adv Manuf Technol 93:4169–4178. https://doi.org/10.1007/s00170-017-0850-8
Meng QY, Guo B, Wu GC, Xiang Y, Guo ZF, Jia JF, Zhao QL, Li KN, Zeng ZQ (2023) Dynamic force modeling and mechanics analysis of precision grinding with microstructured wheels. J Mater Process Technol 314. https://doi.org/10.1016/j.jmatprotec.2023.117900
Yin L, Liu QX, Zhang F, Zhou ZR, Ullah S (2019) Study for the identification of dominant frequencies and sensitive structure on machine tools using modal decoupling and structural sensitivity analysis. J Vib Eng Technol 7:507–517. https://doi.org/10.1007/s42417-019-00172-7
Niu J, Ding Y, Geng ZM, Zhu LM, Ding H (2018) Patterns of regenerative milling chatter under joint influences of cutting parameters, tool geometries, and runout. J Manuf Sci Eng J MANUF SCI E-T ASME 140. https://doi.org/10.1115/1.4041250
Wei RC, An CH, Wang ZZ, Xu Q, Lei XY, Zhang JF (2020) Dynamic performance analysis and quantitative evaluation for ultraprecision aerostatic spindle. Proc Inst Mech Eng B: J Eng Manuf 234:218–228. https://doi.org/10.1177/0954405419855239
An CH, Deng CY, Miao JG, Yu DP (2018) Investigation on the generation of the waviness errors along feed-direction on flycutting surfaces. Int J Adv Manuf Technol 96:1457–1465. https://doi.org/10.1007/s00170-018-1720-8
Ding YY, Rui XT, Chang Y, Lu HJ, Chen YH, Ding JG, Shehzad A, Chen GL, Gu JJ (2023) Optimal design of the dynamic performance of the ultra-precision fly cutting machine tool. Int J Adv Manuf Technol 124:567–585. https://doi.org/10.1007/s00170-022-10502-x
Yao WH, Kang RK, Guo XG, Zhu XL (2022) Effect of grinding residual height on the surface shape of ground wafer. J Mater Process Technol 299. https://doi.org/10.1016/j.jmatprotec.2021.117390
Chen D, Li S, Fan J (2022) A 3d turning surface model under the action of coupling dynamics of aerostatic spindle and cutting system. Int J Adv Manuf Technol 120:4617–4633. https://doi.org/10.1007/s00170-022-09006-5
Tao HF, Liu YH, Zhao DW, Lu XC (2022) The material removal and surface generation mechanism in ultra-precision grinding of silicon wafers. Int J Mech Sci 222. https://doi.org/10.1016/j.ijmecsci.2022.107240
Sun C, Niu YJ, Liu ZX, Wang YS, Xiu SC (2017) Study on the surface topography considering grinding chatter based on dynamics and reliability. Int J Adv Manuf Technol 92:3273–3286. https://doi.org/10.1007/s00170-017-0385-z
Zhu YD, Zhang QL, Zhao QL, To S (2021) The material removal and the nanometric surface characteristics formation mechanism of tic/ni cermet in ultra-precision grinding. Int J Refract Met Hard Mater 96. https://doi.org/10.1016/j.ijrmhm.2021.105494
Li D, Qiao Z, Walton K, Liu YT, Xue JD, Wang B, Jiang XQ (2018) Theoretical and experimental investigation of surface topography generation in slow tool servo ultra-precision machining of freeform surfaces. Materials (Basel) 11. https://doi.org/10.3390/ma11122566
Yin TF, Du HH, Zhang GQ, Hang W, To S (2023) Theoretical and experimental investigation into the formation mechanism of surface waviness in ultra-precision grinding. Tribol Int 180. https://doi.org/10.1016/j.triboint.2023.108269
Zhang CD, Yu WN, Yin L, Zeng Q, Chen ZX, Shao YM (2023) Modeling of normal contact stiffness for surface with machining textures and analysis of its influencing factors. Int J Solids Struct 262-263. https://doi.org/10.1016/j.ijsolstr.2022.112042
Zhu XL, Li Y, Dong ZG, Kang RK, Gao S (2020) Study into grinding force in back grinding of wafer with outer rim. Adv Manuf 8:361–368. https://doi.org/10.1007/s40436-020-00316-z
Zhang SJ, To S, Cheung CF, Wang HT (2012) Dynamic characteristics of an aerostatic bearing spindle and its influence on surface topography in ultra-precision diamond turning. Int J Mach Tools Manuf 62:1–12. https://doi.org/10.1016/j.ijmachtools.2012.04.007
Funding
This research is financially supported by the Program of National Natural Science Foundation of China (51991372), The Opening Foundation of Key Laboratory for Precision and Non-traditional Machining Technology (No. B202102) and The Key Support Plan for Foreign Experts (No. ZCZD2022002L).
Author information
Authors and Affiliations
Contributions
RK contributed significantly to analysis and manuscript preparation;
XZ contributed to the conception of the study;
JL performed the experiment;
ML performed the data analyses and wrote the manuscript;
JX helped perform the analysis with constructive discussions;
Corresponding author
Ethics declarations
Ethics approval
Not applicable.
Consent to participate
Not applicable.
Consent for publication
Not applicable.
Competing interests
The authors declare no competing interests.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Li, M., Zhu, X., Kang, R. et al. Effect of aerostatic spindle dynamic characteristics on the medium frequency waviness error of silicon wafer surface. Int J Adv Manuf Technol 130, 2587–2600 (2024). https://doi.org/10.1007/s00170-023-12755-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-023-12755-6