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Vibration response analysis of thin-walled workpiece considering material removal effects during machining with variable pitch end mill

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Abstract

As a typical vibration-damping tool, the variable pitch end mill changes the dynamic characteristics of the system as the material is removed, which alters the cutting vibration response and affects the workpiece’s quality. In this paper, first, a cutting force model for the variable pitch end mill is established, while the cutting force coefficients are determined through the cutting experiment. The accuracy of the cutting force model is revealed by comparing the simulation with the experimental results, and then the frequency spectrum characteristics of the cutting force are analyzed in the presence of various spindle speeds and interdental angles. Second, the dynamic characteristics of the machining system are analyzed by the modal test and the finite-element analysis. In continuing, amplitude–frequency characteristic curves are carefully examined to get the modal parameters of a variable pitch end mill and aircraft aluminum alloy workpieces of different thicknesses, and subsequently, the mode shapes are determined by modal analysis. Finally, based on the above cutting force model and the system modal parameters, the free and forced vibration responses of the workpieces with various thicknesses are analyzed by employing dynamic system modeling simulations. The relationship between material removal and vibration response is obtained, which indicates that the vibration amplitude of the machining system gradually increases as the workpiece’s thickness lessens. The obtained results of forced vibration response analysis for thin-walled workpieces machined with various interdental angles reveal that the fourth type of end mill has the best vibration damping effect.

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References

  1. Zhang J (2018) Research on suppression of the forced vibration of the cutter based on the milling dynamics. J Mech Eng 54(17):94

    Article  Google Scholar 

  2. Zhang J, Liu CY (2018) Analysis of forced vibration response during milling of thin-walled workpieces. J Tsinghua Univ Nat Sci Ed 58(11):5

    Google Scholar 

  3. Campatelli G, Scippa A (2012) Prediction of milling cutting force coefficients for aluminum 6082–T4. Procedia CIRP 1(1):563–568

    Article  Google Scholar 

  4. Grossi N, Sallese L, Scippa A, Campatelli G (2015) Speed-varying cutting force coefficient identification in milling. Procedia Eng

  5. Marcos J (2013) Cutting forces parametric model for the dry high speed contour milling of aerospace aluminium alloys. Procedia Eng

  6. Rubeo MA, Schmitz TL (2016) Mechanistic force model coefficients: a comparison of linear regression and nonlinear optimization. Procedia Eng 45:311–321

    Google Scholar 

  7. Huang CY, Wang JJJ (2006) Mechanistic modeling of process damping in peripheral milling. J Manuf Sci Eng 129(1):12–20

    Article  Google Scholar 

  8. Liu J, Zeng GL, Zou YS, Liu L (2016) Instantaneous milling force mathematical model and experimental verification. Mach Des Manuf 11:1–4

    Google Scholar 

  9. Altintas Y, Budak E (1998) Analytical prediction of chatter stability in milling–part I: general formulation. J Dyn Syst Meas Contr 120:22–30

    Article  Google Scholar 

  10. Liu K, Sun J (2019) Milling force modeling and optimization of variable reduction for cone ball end milling cutter. Tool Eng 53(4):54–57

    Google Scholar 

  11. Yusoff AR, Mansor MH, Hussain HC, Abidin MAZ (2013) Analytical chatter stability prediction for irregular types of milling tools. Mater Sci Forum 773–774:420–426

    Article  Google Scholar 

  12. Sellmeier V, Denkena B (2011) Stable islands in the stability chart of milling processes due to unequal tooth pitch. Int J Mach Tools Manuf 51(2):152–164

    Article  Google Scholar 

  13. Nie W, Zheng M, Yu H, Xu S, Liu Y (2021) Analysis of vibration reduction mechanism for variable-pitch end mills in hardened steel. Int J Adv Manuf Technol

  14. Stepan G, Hajdu D, Iglesias A, Takacs D, Dombovari Z (2018) Ultimate capability of variable pitch milling cutters. CIRP Ann 67(1):373–376

    Article  Google Scholar 

  15. Tian WJ, Ren JX, Li L, Wang DZ, Zhang BG (2018) Experiment on milling stability of thin-walled parts based on process variable mode. J Mech Electr Eng 35(07):668–673

    Google Scholar 

  16. Adetoro OB, Sim WM, Wen PH (2010) An improved prediction of stability lobes using nonlinear thin wall dynamics. J Mater Process Technol 210(6–7):969–979

    Article  Google Scholar 

  17. Song Q, Ai X, Tang W (2011) Prediction of simultaneous dynamic stability limit of time-variable parameters system in thin-walled workpiece high-speed milling processes. Int J Adv Manuf Technol 55(9):883–889

    Article  Google Scholar 

  18. Campa FJ, Lacalle L, Celaya A (2011) Chatter avoidance in the milling of thin floors with bull-nose end mills: model and stability diagrams. Int J Mach Tools Manuf 51(1):43–53

    Article  Google Scholar 

  19. Alan S, Budak E, Özgüven HN (2010) Analytical prediction of part dynamics for machining stability analysis. Int J Autom Technol 4(3):259–267

    Article  Google Scholar 

  20. Budak E, Tun LT, Alan S (2012) Prediction of workpiece dynamics and its effects on chatter stability in milling. CIRP Ann Manuf Technol 61(1):339–342

    Article  Google Scholar 

  21. Ratchev S, Govender E, Nikov S, Phuah K, Tsiklos G (2003) Force and deflection modelling in milling of low-rigidity complex parts. J Mater Process Technol 143:796–801

    Article  Google Scholar 

  22. Yang Y, Zhang W, Ma Y, Wan M (2016) Chatter prediction for the peripheral milling of thin-walled workpieces with curved surfaces. Int J Mach Tools Manuf 109:36–48

    Article  Google Scholar 

  23. Wang D, Lser M, Ihlenfeldt S, Wang X, Liu Z (2019) Milling stability analysis with considering process damping and mode shapes of in-process thin-walled workpiece. Int J Mech Sci

  24. Shi J H, Song Q H, Liu Z Q, Ai X (2017) A novel stability prediction approach for thin-walled component milling considering material removing process. Chin J Aeronaut

  25. Wang X, Song Q, Liu Z (2020) Dynamic model and stability prediction of thin-walled component milling with multi-modes coupling effect. J Mater Process Technol 116869

  26. Iglesiasa A, Munoaac J, Ciuranab J, Dombovariac Z, Stepanc G (2016) Analytical expressions for chatter analysis in milling operations with one dominant mode. J Sound Vibr 403–421

    Article  Google Scholar 

  27. Jin X, Bin Q I, Jiang S, Sun Y (2015) Study on stability of milling thin-walled part. Mech Eng

  28. Ding Y, Zhu L (2016) Investigation on chatter stability of thin-walled parts considering its flexibility based on finite element analysis. Int J Adv Manuf Technol

  29. Matsubara A, Takata K, Furusawa M (2020) Experimental study of thin-wall milling vibration using phase analysis and a piezoelectric excitation test. CIRP Ann 69(1):317–320

    Article  Google Scholar 

  30. Kolluru K, Axinte D (2013) Coupled interaction of dynamic responses of tool and workpiece in thin wall milling. J Mater Process Technol 213(9):1565–1574

    Article  Google Scholar 

  31. Kolluru K, Axinte D (2014) Novel ancillary device for minimising machining vibrations in thin wall assemblies. Int J Mach Tools Manuf 85:79–86

    Article  Google Scholar 

  32. Susanto A, Yamada K, Mani K, Tanaka R, Sekiya K (2017) Vibration analysis in milling of thin-walled workpieces using Hilbert-Huang transform. Jpn Soc Mech Eng

  33. Ren JX, Yang BQ, Liang YS, Tian WJ, Yao CF (2010) Research on chatter suppression in machining thin-walled components based on rigidity optimization. Adv Mater Res 97–101:1947–1951

    Article  Google Scholar 

  34. Ma J, Zhang D, Wu B, Luo M, Bing C (2016) Vibration suppression of thin-walled workpiece machining considering external damping properties based on magnetorheological fluids flexible fixture – ScienceDirect. Chin J Aeronaut 29(4):1074–1083

    Article  Google Scholar 

  35. Totis G, Insperger T, Stepan G, Sortino M (2018) Stability analysis in milling by taking into account the influence of forced vibrations on the actual tool-workpiece engagement conditions. Procedia CIRP 77:453–456

    Article  Google Scholar 

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Funding

This work was supported in part by the Central Government for Supporting the Local High Level Talent (number 2020GSP11).

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All authors participated in the analysis and discussed the results and contributed to the final manuscript.

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Correspondence to Minli Zheng.

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Zheng, M., Liu, Y., Nie, W. et al. Vibration response analysis of thin-walled workpiece considering material removal effects during machining with variable pitch end mill. Int J Adv Manuf Technol 123, 1607–1623 (2022). https://doi.org/10.1007/s00170-022-10299-9

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