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Influence of machining parameters in longitudinal-torsional ultrasonic vibration milling titanium alloy for milling force

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Abstract

To study the effect of different parameters on milling force for longitudinal-torsional ultrasonic vibration milling (LTUM) of titanium alloy, the kinematic theory of LTUM is combined with the model of milling transient cutting thickness to establish the milling force equation, and experiment was carried out. The experimental results showed that milling force was positively correlated with cutting speed, cutting depth, feed per tooth (milling force increased by about 40% in increasing the cutting speed from 40 to 100 m/min, 300% in increasing the depth of cut from 0.1 to 0.4 mm, and 25% in increasing the feed per tooth from 0.01 to 0.04 mm). Milling force was negatively correlated with ultrasonic amplitude, tool helix angle (milling force reduced by about 22% in increasing the ultrasonic amplitude from 1 to 4 μm, and 23% in increasing the tool helix angle from 30 to 45°). The milling force was minimized when the ultrasonic amplitude was 4 μm; cutting speed was 60 m/min; cutting depth was 0.1 mm; feed per tooth was 0.01 mm/z, and tool helix angle was 40°. Furthermore, the empirical model of milling force was established, and accuracy was verified by experimental data.

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References

  1. Zhao B, Li P, Zhang C, Wang X (2020) Effect of ultrasonic vibration direction on milling characteristics of TC4 titanium alloy. Acta Aeronautica et Astronautica Sinica 41:39–49. https://doi.org/10.7527/S1000-6893.2019.23301

    Article  Google Scholar 

  2. Cui C, Hu BM, Zhao L, Liu S (2011) Titanium alloy production technology, market prospects and industry development. Mater Des 32:1684–1691. https://doi.org/10.1016/j.matdes.2010.09.011

    Article  Google Scholar 

  3. Shen X, Xu G (2018) Study of milling force variation in ultrasonic vibration-assisted end milling. Mater Manuf Processes 33:644–650. https://doi.org/10.1080/10426914.2017.1364846

    Article  Google Scholar 

  4. Zhang X, Zhang J, Zhou H, Ren Y, Xu M (2018) A novel milling force model based on the influence of to ol geometric parameters in end milling. Adv Mech Eng 10:2072048906. https://doi.org/10.1177/1687814018798185

    Article  Google Scholar 

  5. Li Y, Yang ZJ, Chen C, Song YX, Zhang JJ, Du DW (2018) An integral algorithm for instantaneous uncut chip- thickness measuring in the milling process. Adv Prod Eng Manag 13:297–306. https://doi.org/10.14743/apem2018.3.291

    Article  Google Scholar 

  6. Zhu K, Zhang Y (2017) Modeling of the instantaneous milling force per tooth with tool run-out effect in high speed ball-end milling. Int J Mach Tools Manuf 118–119:37–48. https://doi.org/10.1016/j.ijmachtools.2017.04.001

    Article  Google Scholar 

  7. Zhu K, Li G (2021) Theoretical modeling and experimental study of micro milling force based on tool wear mapping. J Mech Eng 57:246–259. https://doi.org/10.3901/JME.2021.19.246

    Article  Google Scholar 

  8. Kim GM, Cho PJ, Chu CN (2000) Cutting force prediction of sculptured surface ball-end milling using Z-map. Int J Mach Tools Manuf 40:277–291. https://doi.org/10.1016/S0890-6955(99)00040-1

    Article  Google Scholar 

  9. Kim GM, Chong NC (2004) Mean cutting force prediction in ball-end milling using force map method. J Mater Process Tech 146:303–310. https://doi.org/10.1016/j.jmatprotec.2003.11.021

  10. Chen Q, Dai L, Liu Y, Shi Q (2020) A cortical bone milling force model based on orthogonal cutting distribution method. Adv Manuf 8:204–215. https://doi.org/10.1007/s40436-020-00300-7

    Article  Google Scholar 

  11. Shan C, Wang X, Yang X, Xiaobo L. (2016) Prediction of cutting forces in ball-end milling of 2.5D C/C composites. Chin J Aeronaut,7. https://doi.org/10.1016/j.cja.2015.12.015

  12. Jiang X, Kong X, He S, Wu K (2021) Modeling the superposition of residual stresses induced by cutting force and heat during the milling of thin-walled parts. J Manuf Process 68:356–370. https://doi.org/10.1016/j.jmapro.2021.05.048

    Article  Google Scholar 

  13. Li Z, Zhu L, Yang Z, Ma J, Cao W (2022) Investigation of tool-workpiece contact rate and milling force in elliptical ultrasonic vibration-assisted milling. Int J Adv Manuf Technol 118:585–601. https://doi.org/10.1007/s00170-021-07946-y

    Article  Google Scholar 

  14. Lotfi M, Akbari J (2021) Finite element simulation of ultrasonic-assisted machining: a review. Int J Adv Manuf Technol 116:2777–2796. https://doi.org/10.1007/s00170-021-07205-0

    Article  Google Scholar 

  15. Ni C, Zhu L, Ning J, Yang Z, Liu C (2019) Research on the characteristics of cutting force signal and chip in ultrasonic vibration-assisted milling of titanium alloys. J Mech Eng 55:207–216. https://doi.org/10.3901/JME.2019.07.207

    Article  Google Scholar 

  16. Niu Y, Jiao F, Zhao B, Gao G. (2019) Investigation of cutting force in longitudinal-torsional ultrasonic-assisted milling of Ti-6Al-4V. Materials (Basel),12. https://doi.org/10.3390/ma12121955

  17. Tao G, Ma C, Shen X, Zhang J (2017) Experimental and modeling study on cutting forces of feed direction ultrasonic vibration-assisted milling. Int J Adv Manuf Technol 90:709–715. https://doi.org/10.1007/s00170-016-9421-7

    Article  Google Scholar 

  18. Abootorabi Zarchi MM, Razfar MR, Abdullah A (2012) Investigation of the effect of cutting speed and vibration amplitude on cutting forces in ultrasonic-assisted milling. Proc IME B J Eng Manufact 226:1185–1191. https://doi.org/10.1177/0954405412439666

    Article  Google Scholar 

  19. Verma GC, Pandey PM, Dixit US (2018) Modeling of static machining force in axial ultrasonic-vibration assisted milling considering acoustic softening. Int J Mech Sci,136. https://doi.org/10.1016/j.ijmecsci.2017.11.048

  20. Gao G, Hu E, Xiang D, Zhao B (2018) Theoretical modeling of the milling force of C / C composites in ultrasonic milling. J Vib Shock 37:8–13. https://doi.org/10.13465/j.cnki.jvs.2018.10.002

    Article  Google Scholar 

  21. Niu Y, Jiao F, Zhao B, Tong J (2019) Experiment of machining induced residual stress in longitudinal torsional ultrasonic assisted milling of Ti-6AI-4V. Surf Technol 48:41–51. https://doi.org/10.16490/j.cnki.issn.1001-3660.2019.10.005

    Article  Google Scholar 

  22. Niu Y, Jiao F, Zhao B, Wang X (2019) 3D Finite element simulation and experimentation of residual stress in longitudinal torsional ultrasonic assisted milling. J Mech Eng 55:224–232. https://doi.org/10.3901/JME.2019.13.224

    Article  Google Scholar 

  23. Zhu L, Zhu C, Pei J, Li X, Wei W (2014) Prediction of three-dimensional milling forces based on finite element. Adv Mater Sci Eng 2014:1–7. https://doi.org/10.1155/2014/918906

    Article  Google Scholar 

  24. Yang Y, Wan M, Feng J et al (2017) Working mechanism of helix angle on peak cutting forces together with its design theory for peripheral milling tools. J Mater Process Technol. https://doi.org/10.1016/j.jmatprotec.2017.06.030

    Article  Google Scholar 

  25. Wang X (2018) SiCp/AL Milling mechanism and surface quality under ultrasonic excitation. Doctor North University of China

  26. Wang BS, Zuo JM, Wang ML, Hou JM (2012) Prediction of milling force based on numerical simulation of oblique cutting. Mater Manuf Processes 27:1011–1016. https://doi.org/10.1080/10426914.2011.654150

    Article  Google Scholar 

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

    Article  Google Scholar 

  28. Budak E, Altintas Y, Armarego E (1996) Prediction of milling force coefficients from orthogonal cutting data. J Manuf Sci Eng 118:216–224. https://doi.org/10.1115/1.2831014

    Article  Google Scholar 

  29. Altintas Y (2012) Manufacturing automation : metal cutting mechanics, machine tool vibrations, and CNC design / 2nd. Manufacturing automation : metal cutting mechanics, machine tool vibrations, and CNC design / 2nd.13–15

  30. Shang P, Huang S, Liu X, Yang Z, Liu T, Zhang J (2021) Modeling and experimental study on cutting forces of 2D vibration assisted micro-milling. China Mech Eng 32:648–657. https://doi.org/10.3969/j.issn.1004-132X.2021.06.003

    Article  Google Scholar 

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Funding

This research is supported by The National Natural Science Foundation of China project “Research on subsurface damage mechanism of ceramic matrix composites machined by high speed multi-dimensional ultrasonic” (Project code: 52005164).

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Authors and Affiliations

  1. School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo, 454000, People’s Republic of China

    Mingli Zhao, Junming Zhu, Shijie Song, Boxi Xue & Bo Zhao

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  1. Mingli Zhao
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  3. Shijie Song
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All related authors contributed to the conceptualization, data curation, investigation, methodology, writing—original draft, writing—review, and editing of the manuscript.

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Correspondence to Mingli Zhao.

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Zhao, M., Zhu, J., Song, S. et al. Influence of machining parameters in longitudinal-torsional ultrasonic vibration milling titanium alloy for milling force. Int J Adv Manuf Technol 123, 3587–3597 (2022). https://doi.org/10.1007/s00170-022-10509-4

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