Skip to main content
Log in

Theoretical study on frequency spectrum characteristics of surface profiles generated in micro-end-milling process

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Micro-milling is a flexible and promising fabrication process. Based on the analysis of the surface formation process in micro-end milling, the theoretical surface model was established to investigate the influence of seven identified factors, i.e., minimum cut thickness (MCT), elastic recovery, plastic side flow, radial and axial runout, tool wear (corner radius and unbalanced wear coefficient), and vibration on the frequency spectrum characteristics. The increase of MCT coefficient and plastic side flow height could increase the amplitude of the sft and 2sft frequency, while the scenario for the elastic recovery coefficient witnessed a reverse trend. The amplitude of the 0.5sft frequency decreased with the increase of the radial runout offset, while the amplitude of sft frequency increased as the radial runout offset increased; the scenario for the influence of the radial runout angle was opposite. The increase of the axial runout offset could lead to the increase of the amplitude of both 0.5sft and sft frequency. The increase of corner radius could lead to a slight reduction of the amplitude of the 0.5sft and sft frequency. The occurrence of the vibration with high frequency leaded to a low spatial frequency. The corresponding tool wear experiment was conducted, and the frequency-spectrum characteristics of the micro-milled surface were compared with the simulated results to validate the established profile models. The paper successfully correlated the relative importance of the identified individual factors to the corresponding frequency spectrum characteristics, and it had potential applications in predicting and controlling the spatial content of machined surfaces.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22

Similar content being viewed by others

Availability of data and materials

The authors confirm that material supporting the findings of this work is available within the article. The collected data of this work are not available within the article.

References

  1. Aurich JC, Reichenbach IG, Guido MS (2012) Manufacture and application of ultra-small micro end mills. CIRP Ann Manuf Technol 61(1):83–86

    Article  Google Scholar 

  2. Sean AA, Chuan SK, Liu K (2012) An experimental study of micromilling of polymer materials for microfluidic applications. Int J Abras Technol 5(4):286–298

    Article  Google Scholar 

  3. Saptaji K, Gebremariam M, Azhari A (2018) Machining of biocompatible materials: a review. Int J Adv Manuf Technol 97:2255–2292

    Article  Google Scholar 

  4. Kara F, Köklü U, Kabasakaloğlu U (2020) Taguchi optimization of surface roughness in grinding of cryogenically treated AISI 5140 steel. Mater Test 62(10):1041–1047

    Article  Google Scholar 

  5. Kara F (2018) Optimization of surface roughness in finish milling of AISI P20+ S plastic-mold steel. Optimization 52(2):195–200

    Google Scholar 

  6. Kara F, Karabatak M, Ayyıldız M (2020) Effect of machinability, microstructure and hardness of deep cryogenic treatment in hard turning of AISI D2 steel with ceramic cutting. J Mater Res Technol 9(1):969–983

    Article  Google Scholar 

  7. Chen W, Zheng L, Xie W, Yang K, Huo D (2019) Modelling and experimental investigation on textured surface generation in vibration-assisted micro-milling. J Mater Process Technol 266:339–350

    Article  Google Scholar 

  8. Lai X, Li H, Li C, Lin Z, Ni J (2008) Modelling and analysis of micro scale milling considering size effect, micro cutter edge radius and minimum chip thickness. Int J Mach Tool Manu 48(1):1–14

    Article  Google Scholar 

  9. Rahman MA, Amrun MR, Rahman M, Kumar AS (2017) Investigation of the critical cutting edge radius based on material hardness. Int J Adv Manuf Technol 88(9-12):1–12

    Article  Google Scholar 

  10. De Oliveira FB, Rodrigues AR, Coelho RT, De Souza AF (2015) Size effect and minimum chip thickness in micromilling. Int J Mach Tool Manu 89:39–54

    Article  Google Scholar 

  11. Malekian M, Mostofa MG, Park SS, Jun MBG (2012) Modeling of minimum uncut chip thickness in micro machining of aluminum. J Mater Process Technol 212(3):553–559

    Article  Google Scholar 

  12. Shi Z, Li Y, Liu Z, Qiao Y (2017) Determination of minimum uncut chip thickness during micro-end milling inconel 718 with acoustic emission signals and fem simulation. Int J Adv Manuf Technol 98:37–45

    Article  Google Scholar 

  13. Cheung CF, Lee WB (2000) A multi-spectrum analysis of surface roughness formation in ultraprecision machining. Precis Eng 24:77–87

    Article  Google Scholar 

  14. Chen J, Zhao Q (2015) A model for predicting surface roughness in single-point diamond turning. Measurement 69:20–30

    Article  Google Scholar 

  15. Jing X, Tian Y, Yuan Y, Wang F (2017) A runout measuring method using modeling and simulation cutting force in micro end-milling. Int J Adv Manuf Technol 91:4191–4201

    Article  Google Scholar 

  16. Chen W, Su Y, Huo D, Teng X (2019) Modeling of the influence of tool runout on surface generation in micro milling. Chin J Mech Eng 32(1):2

    Article  Google Scholar 

  17. Grossi N, Scippa A, Sallese L, Montevecchi F, Campatelli G (2018) On the generation of chatter marks in peripheral milling: a spectral interpretation. Int J Mach Tool Manu 133:31–46

    Article  Google Scholar 

  18. Li H, Lai X, Li C, Feng J, Ni J Modelling and experimental analysis of the effects of tool wear, minimum chip thickness and micro tool geometry on the surface roughness in micro-end-milling. J Micromech Microeng 18(2):025006

  19. Ding H, Chen SJ, Cheng K (2011) Dynamic surface generation modeling of two-dimensional vibration-assisted micro-end-milling. Int J Adv Manuf Technol 53(9-12):1075–1079

    Article  Google Scholar 

  20. Wang R, Wang B, Barber G, Gu J, Schall JD (2019) Models for prediction of surface roughness in a face milling process using triangular inserts. Lubricants 7(1)

  21. Costes JP (2013) A predictive surface profile model for turning based on spectral analysis. J Mater Process Technol 213(1):94–100

    Article  Google Scholar 

  22. Chen W, Huo D, Teng X, Sun Y (2017) Surface generation modelling for micro end milling considering the minimum chip thickness and tool runout. Procedia CIRP 58:364–369

    Article  Google Scholar 

  23. Zhang X, Yu T, Zhao J (2020) Surface generation modeling of micro milling process with stochastic tool wear. Precis Eng 61:170–181

    Article  Google Scholar 

  24. Sun Z, To S, Zhang S, Zhang G (2018) Theoretical and experimental investigation into non-uniformity of surface generation in micro-milling. Int J Mech Sci 140:313–324

    Article  Google Scholar 

  25. Lu X, Hu X, Jia Z, Liu M, Gao S, Qu C (2018) Model for the prediction of 3D surface topography and surface roughness in micro-milling inconel 718. Int J Adv Manuf Technol 94(5):2043–2056

    Article  Google Scholar 

  26. Chen G, Liang Y, Sun Y (2014) Frequency domain error analysis in turning. Int J Adv Manuf Technol 73(5-8):929–940

    Article  Google Scholar 

  27. Cheung CF, Lee WB (2001) Characterisation of nanosurface generation in single-point diamond turning. Int J Mach Tool Manu 41(6):851–875

    Article  Google Scholar 

  28. Moon KS, Sutherland JW (1994) The origin and interpretation of spatial frequencies in a turned surface profile. J Eng Ind T ASME 116(3):340–347

    Article  Google Scholar 

  29. Hong MS, Ehmann KF (1995) Generation of engineered surfaces by the surface-shaping system. Int J Mach Tool Manu 35(9):1269–1290

    Article  Google Scholar 

  30. Kim KN (1999) Prediction and characterization of the machined surface topography in the frequency domain. Dissertation, Northwestern University

  31. Liu X, Jun MBG, Devor RE, Kapoor SG (2004) Cutting mechanisms and their influence on dynamic forces, vibrations and stability in micro-end milling. Asme International Mechanical Engineering Congress & Exposition. Anaheim, California USA, Nov 13–20

  32. Ramos A, Autenrieth H, Strauss T (2012) Characterization of the transition from ploughing to cutting in micro machining and evaluation of the minimum thickness of cut. J Mater Process Technol 212:594–600

    Article  Google Scholar 

  33. Kang I, Kim J, Seo Y (2011) Investigation of cutting force behaviour considering the effect of cutting edge radius in the micro-scale milling of AISI1045 steel. P I Mech Eng B J Eng 225:163–171

    Google Scholar 

  34. Huo D, Cheng K (2004) Experimental investigation on micromilling of oxygen-free, high conductivity copper using tungsten carbide, chemistry vapour deposition, and single-crystal diamond micro tools. P I Mech Eng B J Eng 224:995–1003

    Google Scholar 

  35. Arcona C, Dow TA (1988) An empirical tool force model for precision machining. J Manuf Sci Eng 120:700–707

    Article  Google Scholar 

  36. He CL, Zong WJ, Sun T (2016) Origins for the size effect of surface roughness in diamond turning. Int J Mach Tool Manu 100:22–42

    Article  Google Scholar 

  37. Lei N, Soshi M (2017) Vision-based system for chatter identification and process optimization in high-speed milling. Int J Adv Manuf Technol 89:2757–2769

    Article  Google Scholar 

Download references

Acknowledgements

This work is supported by the China Postdoctoral Science Foundation (Grant Nos. 2019M663043). The authors are also grateful to the colleagues for their essential contribution to the work.

Funding

The research leading to these results received funding from the China Postdoctoral Science Foundation (Grant Nos. 2019M663043).

Author information

Authors and Affiliations

Authors

Contributions

Experimentation: Tao Wang, Yinghua Chen; numerical modeling: Guoqing Zhang, Bin Xu; writing (original draft preparation): Tao Wang; writing (review and editing): Xiaoyu Wu, Shuangchen Ruan.

Corresponding author

Correspondence to Xiaoyu Wu.

Ethics declarations

Competing interests

The authors declare that they have no competing interests.

Ethical approval

Not applicable. The article follows the guidelines of the Committee on Publication Ethics (COPE) and involves no studies on human or animal subjects.

Consent to participate

Not applicable.

Consent to publish

Not applicable.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, T., Wu, X., Zhang, G. et al. Theoretical study on frequency spectrum characteristics of surface profiles generated in micro-end-milling process. Int J Adv Manuf Technol 113, 893–906 (2021). https://doi.org/10.1007/s00170-021-06686-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-021-06686-3

Keywords

Navigation