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Prediction and experimental verification of the cutting forces in gear form milling

Including eccentricity and run-out tool errors

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Abstract

In this paper, a mathematical model is presented by which the cutting forces in gear form milling process are predicted using the mechanistic approach. To use this approach, a detailed description of the chip geometry is needed. Eccentricity and run-out tool errors are considered, which is of great importance as the chip thickness will by these errors vary for the subsequent cuts. The chip geometry is determined by comparing the path of the cutting edge with already removed material. The boundary of the chips is determinable from the cutting edge geometry, which is here derived in parametric form so spur and helical gears are manufactured correctly. Locally on the cutting edge, the cutting forces are resolved from orthogonal cutting data and on the basis that these forces are proportional to the instantaneous chip thickness. The load each individual cutting tooth experience in operation, as well as the complete load on the tool, are resolved by summing the forces along the cutting edge. In the model, all cut chips are determined for each machined gear tooth gap, with the gear blank boundaries considered. The paper ends with experimental validation using indexable insert milling cutters. It is shown that the model predicts the force shape well and the peak force levels within 12 %.

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References

  1. Hill R (1950) The mathematical theory of plasticity. Oxford University Press, London

    MATH  Google Scholar 

  2. Altintas Y (2012) Manufacturing automation: metal cutting mechanics, machine tool vibration, and cnc design. Cambridge University Press, New York

    Google Scholar 

  3. Özel T, Altan T (2000) Process simulation using finite element method—prediction of cutting forces, tool stresses and temperatures in high-speed flat end milling. Int J Mach Tools Manuf 40:713–738

    Article  Google Scholar 

  4. Svaboda A, Wedberg D, Lindgren L-E (2010) Simulation of metal cutting using a physically based plasticity model. Model Simul Mater Sci Eng 18:1–19

    Google Scholar 

  5. Childs T, Maekawa K, Obikawa T, Yamane Y (2000) Metal machining—theory and applications. New York

  6. Dewhurst P (1978) On the non-uniqueness of the machining process. Proc R Soc Lond A Math Phys Sci 360:587–610

    Article  Google Scholar 

  7. Fang N, Jawahir IS, Oxley PLB (2001) A universal slip-line model with non-unique solutions for machining with curled chip formation and a restricted contact tool. Int J Mech Sci 43:557–580

    Article  MATH  Google Scholar 

  8. Hanna NH, Tobias SA (1974) A theory of nonlinear regenerative chatter. ASME J Eng Ind 96:247–253

    Article  Google Scholar 

  9. Kienzle O (1952) Die Bestimmung von Kräften und Leistungen an spanenden Werkzeugen und Werkzeugmaschinen. VDI Zeitschrift 94/11/12:299–305

    Google Scholar 

  10. Jawahir IS, Balaji AK, Baker JR (2003) Towards integration of hybrid models for optimized machining performance in intelligent manufacturing systems. J Mater Process Technol 139:488–498

    Article  Google Scholar 

  11. Ferry WB, Altintas Y (2008) Virtual five-axis flank milling of jet engine impellers—part 1: mechanics of five-axis flank milling. ASME J Manuf Sci Eng 130:011005-1–011005-11

    Google Scholar 

  12. Sun Y, Guo Q (2011) Numerical simulation and prediction of cutting forces in five-axis milling processes with cutter run-out. Int J Mach Tool Manuf 51:806–815

    Article  Google Scholar 

  13. Wan M, Pan W-J, Zhang W-H, Ma Y-C, Yang Y (2014) A unified instantaneous cutting force model for flat end mills with variable geometries. J Mater Process Technol 214:641–650

    Article  Google Scholar 

  14. Wan M, Kilic ZM, Altintas Y (2015) Mechanics and dynamics of multifunctional tools. ASME J Manuf Sci Eng 137:011019-1–011019-11

    Article  Google Scholar 

  15. Vedmar L, Andersson C, Ståhl J-E (2009) A parametric analysis of the undeformed chip geometry in gear hobbing. ASME J Manuf Sci Eng 131:061003-1–061003-8

    Article  Google Scholar 

  16. Ehrmann KF (1990) Grinding wheel profile definition for manufacture of drill flutes. Ann CIRP 39:153–156

    Article  Google Scholar 

  17. Steth DS, Malkin S (1990) CAD/CAM for geometry and process analysis of helical groove machining. CIRP 39:129–132

    Article  Google Scholar 

  18. Häussler U (1999) Generalisierte Berechnung Rämulicher Verzahnung and ihre Anwendung auf Wälzfräserherstellung und Wälzfräsen (In German). PhD thesis, Universität Stuttgart

  19. Andersson C, Andersson M, Ståhl J-E (2011) Experimental studies of cutting force variation in face milling. Int J Mach Tools Manuf 51:67–76

    Article  Google Scholar 

  20. Svahn M, Vedmar L, Andersson C (2014) Gear tooth surface roughness of helical gears manufactured by a form milling cutter. In: International gear conference, vol 1. Lyon, France, pp 96–106

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Correspondence to Mattias Svahn.

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Svahn, M., Andersson, C. & Vedmar, L. Prediction and experimental verification of the cutting forces in gear form milling. Int J Adv Manuf Technol 82, 111–121 (2016). https://doi.org/10.1007/s00170-015-7309-6

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  • DOI: https://doi.org/10.1007/s00170-015-7309-6

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