Skip to main content
Log in

Physics-informed interpretable machine learning method for DOC monitoring in peripheral milling

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

Abstract

Online monitoring of depths of cut (DOC) is an essential way to avoid machining defects, such as over-cutting and machining chatter. Data-driven machine learning method has been widely used to build the monitoring algorithms. However, deficient training data and un-interpretable algorithm make it difficult for application. Therefore, a physics-informed interpretable machine learning algorithm was proposed. Firstly, a physical simulation model incorporated with DOC was established with the rotation speed and feed speed as its inputs and time-domain signals of milling force as its outputs. The output force signals were quantitatively presented by time domain and frequency domain features. Secondly, six dimensionless features, namely the kurtosis, skewness, waveform factor, peak factor, pulse factor, and margin factor of the resultant milling force, were explored through sensitivity analysis method. They were sensitive to DOC but insensitive to milling force coefficient, speed, and feed speed. Then, a quantitative relationship model between features and DOC was established using the least squares linear regression algorithm, which has an intrinsic interpretability. Finally, the model was trained by a labeled 100-group experimental data. The results show that the accuracy of the proposed model for DOC monitoring is higher than 90%.

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

Similar content being viewed by others

Data availability

All data generated or analyzed during this study were available by emailing to author (sunl@just.edu.cn).

References

  1. Liu Y, Kilic ZM, Altintas Y (2022) Monitoring of in-process force coefficients and tool wear. Cirp J Manuf Sci Technol 38:105–119. https://doi.org/10.1016/j.cirpj.2022.04.009

    Article  Google Scholar 

  2. Sun W, Zhang D, Luo M (2021) Machining process monitoring and application: a review. Journal of Advanced Manufacturing. Sci Technol 1(2):2021001. https://doi.org/10.51393/j.jamst.2021001

    Article  Google Scholar 

  3. Altintas Y, Yellowley I (1987) The identification of radial width and axial depth of cut in peripheral milling. Int J Machine Tools Manuf 27:367–381. https://doi.org/10.1016/S0890-6955(87)80010-X

    Article  Google Scholar 

  4. Yang L, DeVor RE, Kapoor SG (2005) Analysis of force shape characteristics and detection of depth-of-cut variations in end milling. J Manuf Sci Eng 127:454–462. https://doi.org/10.1115/1.1947207

    Article  Google Scholar 

  5. Jiang Z, Qi X, Sun Y et al (2020) Cutting depth monitoring based on milling force for robot-assisted laminectomy. IEEE Trans Autom Sci Eng 17:2–14. https://doi.org/10.1109/TASE.2019.2920133

    Article  Google Scholar 

  6. Grossi N, Morelli L, Scippa A et al (2022) A frequency-based analysis of cutting force for depths of cut identification in peripheral end-milling. Mech Syst Signal Process 171:108943. https://doi.org/10.1016/j.ymssp.2022.108943

    Article  Google Scholar 

  7. Choi J, Yang M (1999) In-process prediction of cutting depths in end milling. Int J Machine Tools Manuf 39:705–721. https://doi.org/10.1016/S0890-6955(98)00067-4

    Article  Google Scholar 

  8. Leal-Munoz E, Diez E, Perez H et al (2018) Identification of the actual process parameters for finishing operations in peripheral milling. J Manuf Sci Eng Trans Asme 140. https://doi.org/10.1115/1.4039917

  9. Leal-Munoz E, Diez E, Perez H et al (2018) Accuracy of a new online method for measuring machining parameters in milling. Measurement: J Int Meas Confed 128:170–179. https://doi.org/10.1016/j.measurement.2018.06.018

    Article  Google Scholar 

  10. Prickett PW, Siddiqui RA, Grosvenor RI (2011) The development of an end-milling process depth of cut monitoring system. Int J Adv Manuf Technol 52:89–100. https://doi.org/10.1007/s00170-010-2711-6

    Article  Google Scholar 

  11. Gaja H, Liou F (2016) Automatic detection of depth of cut during end milling operation using acoustic emission sensor. Int J Adv Manuf Technol 86:2913–2925. https://doi.org/10.1007/s00170-016-8395-9

    Article  Google Scholar 

  12. Li X, Liu X, Yue C et al (2022) Systematic review on tool breakage monitoring techniques in machining operations. Int J Machine Tools Manuf 176:103882. https://doi.org/10.1016/j.ijmachtools.2022.103882

    Article  Google Scholar 

  13. Nasir V, Sassani F (2021) A review on deep learning in machining and tool monitoring: methods, opportunities, and challenges. Int J Adv Manuf Technol 115:2683–2709. https://doi.org/10.1007/s00170-021-07325-7

    Article  Google Scholar 

  14. Wang J, Xu C, Zhang J et al (2021) Big data analytics for intelligent manufacturing systems: a review. J Manuf Syst. https://doi.org/10.1016/j.jmsy.2021.03.005

  15. Mozaffar M, Liao S, Xie X et al (2022) Mechanistic artificial intelligence (mechanistic-ai) for modeling, design, and control of advanced manufacturing processes: current state and perspectives. J Mater Process Technol 302:117485. https://doi.org/10.1016/j.jmatprotec.2021.117485

    Article  Google Scholar 

  16. Wang J, Li Y, Zhao R et al (2020) (2020) Physics guided neural network for machining tool wear prediction. J Manuf Syst 57:298–310. https://doi.org/10.1016/j.jmsy.2020.09.005

    Article  Google Scholar 

  17. Chen G, Li Y, Liu X et al (2021) Physics-informed Bayesian inference for milling stability analysis. Int J Machine Tools Manuf 167:103767. https://doi.org/10.1016/j.ijmachtools.2021.103767

    Article  Google Scholar 

  18. Vogl GW, Regli DA et al (2022) Real-time estimation of cutting forces via physics-inspired data-driven model. CIRP Annals 71(1):317–320. https://doi.org/10.1016/j.cirp.2022.04.071

    Article  Google Scholar 

  19. Guo H, Zhang Y, Zhu K (2022) Interpretable deep learning approach for tool wear monitoring in high-speed milling. Comput Ind 138:103638. https://doi.org/10.1016/j.compind.2022.103638

    Article  Google Scholar 

  20. Xie J, Hu P, Chen J et al (2023) Deep learning-based instantaneous cutting force modeling of three-axis cnc milling. Int J Mech Sci 246:108153. https://doi.org/10.1016/j.ijmecsci.2023.108153

    Article  Google Scholar 

  21. Li Y, Wang J, Huang Z et al (2022) Physics-informed meta learning for machining tool wear prediction. J Manuf Syst 62:17–27. https://doi.org/10.1016/j.jmsy.2021.10.013

    Article  Google Scholar 

  22. Kline WA, DeVor RE, Lindberg JR (1982) The prediction of cutting forces in end milling with application to cornering cuts. Int J Machine Tool Design Res 22:7–22. https://doi.org/10.1016/0020-7357(82)90016-6

    Article  Google Scholar 

  23. Cai S, Cai Z, Yao B et al (2021) Identifying the transient milling force coefficient of a slender end-milling cutter with vibrations. J Manuf Process 67:262–274. https://doi.org/10.1016/j.jmapro.2021.04.068

    Article  Google Scholar 

  24. Duan Z, Li C, Ding W et al (2021) Milling force model for aviation aluminum alloy: academic insight and perspective analysis. Chin J Mech Eng 34:1–35. https://doi.org/10.1186/s10033-021-00536-9

    Article  Google Scholar 

Download references

Funding

This work was supported by the National Natural Science Foundation of China (62203193), the National Natural Science Foundation of China (51605207), and the General Project of Natural Science Research for Institutions of Higher Education of Jiangsu Province of China (21KJB510016)

Author information

Authors and Affiliations

Authors

Contributions

Guochao Li proposed the main analysis ideas, established the analysis framework, developed the physics simulation model, and helped to read and approve the final manuscript. Ru Jiang and Hao Zheng explored six dimensionless characteristics and established a quantitative relationship model between features and DOC. Shixian Xu and Li Sun provided analytical and linguistic guidance.

Corresponding author

Correspondence to Li Sun.

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.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, G., Zheng, H., Jiang, R. et al. Physics-informed interpretable machine learning method for DOC monitoring in peripheral milling. Int J Adv Manuf Technol 132, 179–191 (2024). https://doi.org/10.1007/s00170-024-13364-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-024-13364-7

Keywords

Navigation