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Effect of component configuration on geometric tolerances during end milling of thin-walled parts

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Abstract

The static deflections of the cutting tool and thin-walled components are key sources contributing to the deviation of a machined surface from the design specifications during the end milling operation. The machined surface deviation is expressed using geometric tolerances such as flatness and cylindricity parameters specified as per the Geometric Dimensioning and Tolerancing (GD&T) standard (ASME Y14.5-2009 or ISO 1101). The present work investigates the effect of component configuration, engagement area, and workpiece curvature by comparing geometric errors during the end milling of zero and constant curvature thin-walled components. An integrated computational framework incorporating the mechanistic force model, finite element (FE)-based workpiece deflection model, cantilever beam formulation-based tool deflection model, and particle swarm optimization (PSO)-based geometric tolerance estimation model has been adopted from the previous work of authors. The effect of component geometry and cutter-workpiece transition are investigated on the geometric tolerance (flatness and cylindricity) by conducting computational studies and machining experiments under identical cutting conditions. The concept of “Equivalent Radial Depth of Cut (RDOC)” is introduced to derive component configurations with the identical cutter-workpiece transition area. The influence of workpiece curvature on the geometric tolerance parameters is also investigated in the paper. The outcomes are substantiated by performing computational studies and machining experiments. It is recognized that the relatively enhanced stiffness of the curved components offers an inherent machining advantage in comparison to straight components to the process planners.

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References

  1. Rao V, Rao P (2006) Effect of workpiece curvature on cutting forces and surface error in peripheral milling. Proc Inst Mech Eng Part B J Eng Manuf 220(9):1399–1407. https://doi.org/10.1243/09544054JEM397

    Article  Google Scholar 

  2. Bera TC, Desai KA, Rao PVM (2010) On milling of thin-walled tubular geometries. Proc Inst Mech Eng Part B J Eng Manuf 224(12):1804–1816. https://doi.org/10.1243/09544054JEM1925

    Article  Google Scholar 

  3. ASME Y14.5-2009 (2009) Geometric dimensioning and tolerancing- application, analysis & measurement. ASME Press, New York

    Google Scholar 

  4. ISO 1101:2017 (2017) Geometrical product specifications (gps) - geometrical tolerancing - tolerances of form, orientation, location and run-out. Geneva, Switzerland

  5. Obeidat SM, Raman S (2011) Process-guided coordinate sampling of end-milled flat plates. Int J Adv Manuf Technol 53(9-12):979–991. https://doi.org/10.1007/s00170-010-2885-y

    Article  Google Scholar 

  6. Sheth S, George PM (2016) Experimental investigation and prediction of flatness and surface roughness during face milling operation of wcb material. Procedia Technol 23:344–351. https://doi.org/10.1016/j.protcy.2016.03.036

    Article  Google Scholar 

  7. Sheth S, George PM (2016) Experimental investigation, prediction and optimization of cylindricity and perpendicularity during drilling of wcb material using grey relational analysis. Precis Eng 45:33–43. https://doi.org/10.1016/j.precisioneng.2016.01.002

    Article  Google Scholar 

  8. Mikó B, Rácz G (2018) Investigation of flatness and angularity in case of ball-end milling. Int Symp Prod Res :65–72. https://doi.org/10.1007/978-3-319-92267-6-5

  9. Agarwal A, Desai KA (2021) Modeling of flatness errors in end milling of thin-walled components. Proc Inst Mech Eng Part B J Eng Manuf 235(3):543–554. https://doi.org/10.1177/0954405420949214

    Article  Google Scholar 

  10. Agarwal A, Desai KA (2020) Predictive framework for cutting force induced cylindricity error estimation in end milling of thin-walled components. Precis Eng 66:209–219. https://doi.org/10.1016/j.precisioneng.2020.07.007

    Article  Google Scholar 

  11. Budak E, Altintas Y (1995) Modeling and avoidance of static form errors in peripheral milling of plates. Int J Mach Tools Manuf 35(3):459–476. https://doi.org/10.1016/0890-6955(94)P2628-S

    Article  Google Scholar 

  12. Yun WS, Ko JH, Cho DW, Ehmann KF (2002) Development of a virtual machining system, part 2: prediction and analysis of a machined surface error. Int J Mach Tools Manuf 42(15):1607–1615. https://doi.org/10.1016/S0890-6955(02)00138-4

    Article  Google Scholar 

  13. Yun WS, Ko JH, Lee HU, Cho DW, Ehmann KF (2002) Development of a virtual machining system, part 3: cutting process simulation in transient cuts. Int J Mach Tools Manuf 42(15):1617–1626. https://doi.org/10.1016/S0890-6955(02)00139-6

    Article  Google Scholar 

  14. Wan M, Zhang W, Qiu K, Gao T, Yang Y (2005) Numerical prediction of static form errors in peripheral milling of thin-walled workpieces with irregular meshes. J Manuf Sci Eng 127(1):13–22. https://doi.org/10.1115/1.1828055

    Article  Google Scholar 

  15. Ratchev S, Liu S, Huang W, Becker AA (2007) Machining simulation and system integration combining fe analysis and cutting mechanics modelling. Int J Adv Manuf Technol 35(1-2):55. https://doi.org/10.1007/s00170-006-0700-6

    Article  Google Scholar 

  16. Wu J, Wang J, Wang L, Li T, You Z (2009) Study on the stiffness of a 5-dof hybrid machine tool with actuation redundancy. Mech Mach Theory 44(2):289–305. https://doi.org/10.1016/j.mechmachtheory.2008.10.001

    Article  Google Scholar 

  17. Desai KA, Rao PVM (2012) On cutter deflection surface errors in peripheral milling. J Mater Process Technol 212(11):2443–2454. https://doi.org/10.1016/j.jmatprotec.2012.07.003

    Article  Google Scholar 

  18. Arora N, Agarwal A, Desai KA (2019) Modelling of static surface error in end-milling of thin-walled geometries. Int J Precis Technol 8(2-4):107–123. https://doi.org/10.1504/IJPTECH.2019.100947

    Google Scholar 

  19. Wang J, Ibaraki S, Matsubara A, Shida K, Yamada T (2015) Fem-based simulation for workpiece deformation in thin-wall milling. Int J Autom Technol 9(2):122–128. https://doi.org/10.20965/ijat.2015.p0122

    Article  Google Scholar 

  20. Bolar G, Joshi SN (2017) Three-dimensional numerical modeling, simulation and experimental validation of milling of a thin-wall component. Proc Inst Mech Eng Part B J Eng Manuf 231(5):792–804. https://doi.org/10.1177/0954405416685387

    Article  Google Scholar 

  21. Liu G, Dang J, Li C, Chen M (2020) Parametric study on the tool inclination angle for side milling thin-walled workpiece edges based on finite element simulation. Proc Inst Mech Eng Part B J Eng Manuf 234(3):439–452. https://doi.org/10.1177/0954405419876159

    Article  Google Scholar 

  22. Wimmer S, Hunyadi P, Zaeh MF (2019) A numerical approach for the prediction of static surface errors in the peripheral milling of thin-walled structures. Prod Eng 13(3-4):479–488. https://doi.org/10.1007/s11740-019-00901-7

    Article  Google Scholar 

  23. Qin G, Zhang W, Wan M (2006) A mathematical approach to analysis and optimal design of a fixture locating scheme. Int J Adv Manuf Technol 29(3):349–359. https://doi.org/10.1007/s00170-005-2509-0

    Article  Google Scholar 

  24. Papastathis TN, Ratchev SM, Popov AA (2012) Dynamics model of active fixturing systems for thin-walled parts under moving loads. Int J Adv Manuf Technol 62(9):1233–1247. https://doi.org/10.1007/s00170-011-3868-3

    Article  Google Scholar 

  25. Agarwal A, Desai KA (2020) Effect of workpiece curvature on axial surface error profile in flat end-milling of thin-walled components. Procedia Manuf 48:498–507. https://doi.org/10.1016/j.promfg.2020.05.074

    Article  Google Scholar 

  26. Wu G, Li G, Pan W, Wang X, Ding S (2020) A prediction model for the milling of thin-wall parts considering thermal-mechanical coupling and tool wear. Int J Adv Manuf Technol 107(11):4645–4659. https://doi.org/10.1007/s00170-020-05346-2

    Article  Google Scholar 

  27. Wu J, Wang J, Li T, Wang L (2007) Dynamic analysis of the 2-dof planar parallel manipulator of a heavy duty hybrid machine tool. Int J Adv Manuf Technol 34(3-4):413–420. https://doi.org/10.1007/s00170-006-0605-4

    Article  Google Scholar 

  28. Wu J, Yu G, Gao Y, Wang L (2018) Mechatronics modeling and vibration analysis of a 2-dof parallel manipulator in a 5-dof hybrid machine tool. Mech Mach Theory 121:430–445. https://doi.org/10.1016/j.mechmachtheory.2017.10.023

    Article  Google Scholar 

  29. Li ZL, Zhu LM (2016) Mechanistic modeling of five-axis machining with a flat end mill considering bottom edge cutting effect. J Manuf Sci Eng 138(11). https://doi.org/10.1115/1.4033663

  30. Agarwal A, Desai KA (2020) Importance of bottom and flank edges in force models for flat-end milling operation. Int J Adv Manuf Technol 107(3-4):1437–1449. https://doi.org/10.1007/s00170-020-05111-5

    Article  Google Scholar 

  31. Kops L, Vo DT (1990) Determination of the equivalent diameter of an end mill based on its compliance. CIRP Ann 39(1):93–96. https://doi.org/10.1016/S0007-8506(07)61010-5

    Article  Google Scholar 

  32. MATLAB 2019b (2019) Matlab and statistics toolbox release 2019b. The MathWorks, Inc., Natick

    Google Scholar 

  33. Desai K, Rao P (2016) Machining of curved geometries with constant engagement tool paths. Proc Inst Mech Eng Part B J Eng Manuf 230(1):53–65. https://doi.org/10.1177/0954405415616787

    Article  Google Scholar 

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Funding

The project is supported by Department of Science and Technology - Science and Engineering Research Board (DST-SERB) (Project No.: YSS/2015/000 495) and Ministry of Education (MoE), India.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Technology Jodhpur, Rajasthan, India

    Ankit Agarwal & Kaushal A. Desai

  2. Clemson University - International Center for Automotive Research, Greenville, SC, USA

    Ankit Agarwal

Authors
  1. Ankit Agarwal
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  2. Kaushal A. Desai
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Contributions

Ankit Agarwal: conceptualization, methodology, validation, investigation, formal analysis, writing—original draft preparation. Kaushal A. Desai: conceptualization, resources, supervision, validation, writing—reviewing and editing, project administration, fund acquisition.

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Correspondence to Ankit Agarwal.

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Agarwal, A., Desai, K.A. Effect of component configuration on geometric tolerances during end milling of thin-walled parts. Int J Adv Manuf Technol 118, 3617–3630 (2022). https://doi.org/10.1007/s00170-021-08185-x

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  • DOI: https://doi.org/10.1007/s00170-021-08185-x

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