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Modeling regenerative workpiece vibrations in five-axis milling

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Abstract

During milling—especially of thin-walled components—the dynamic behavior of the workpiece-tool-machine-system influences the milling process and particularly the quality of the resulting workpiece surface. This article focuses on the presentation of a simulation concept for predicting regenerative workpiece vibrations, which combines a finite element model for analyzing the dynamic behavior of the workpiece with a time domain simulation for the five-axis milling process. Both concepts, their linking, and the experimental setup for verifying the simulation will be described. A comparison of the simulation results with the data measured in experiments with regard to the vibration frequencies as well as the surface quality will be given.

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References

  1. Altintas Y, Brecher C, Weck M, Witt S (2005) Virtual machine tool. Ann CIRP 54(2):651–674

    Article  Google Scholar 

  2. Arnold R (1946) The mechanism of tool vibration in the cutting of steel. Proc Inst Mech Eng 154(4):261–284

    Article  Google Scholar 

  3. Tobias SA, Fishwick W (1958) The chatter of lathe tools under orthogonal cutting conditions. Trans ASME 80:1079–1088

    Google Scholar 

  4. Tlusty J, Polacek M (1963) The stability of the machine tool against self-excited vibration in machining. Proceedings of the ASME International Research in Production Engineering, Pittsburgh, pp 465–474

  5. Merrit HE (1963) Theory of self-excited machine-tool chatter. Contribution to machine-tool chatter. J Eng Ind 87(4):454–465

    Google Scholar 

  6. Le Lan JV, Marty A, Lorong P, Larue A, Coffignal G (2007) A simple method for form defect prediction of vibrating workpieces. In: Micari F, Filice L (eds) Proceedings of the 10th CIRP international workshop on modelling of machining operations, Reggio Calabria (Italy), August 27–28, pp 407–411

  7. Ning H, Zhigang W, Chengyu J, Bing Z (2003) Finite element method analysis and control stratagem for machining deformation of thin-walled components. J Mater Process Technol 139:332–336

    Article  Google Scholar 

  8. Corduan N, Costes J-P, Lapujoulade F, Larue A (2006) Experimental approach of milling stability of thin walled parts, comparison with time domain simulation. In: Grabec I, Govekar E (eds) Proceedings of the 9th CIRP international conference on modelling of machining operations, Bled (Slovenia), May 11–12, pp 131–137

  9. Gonzalo O, Peigne G, Gonzalez D (2006) Thin-walled features high speed machining simulation. In: Grabec I, Govekar E (eds) Proceedings of the 9th CIRP international conference on modelling of machining operations, Bled (Slovenia), May 11–12, pp 123–130

  10. Denkena B, Schmidt C (2007) Experimental investigation and simulation of machining thin-walled workpieces. In: SpringerLink, http://dx.doi.org/10.1007/s11740-007-0017-9

  11. Tsai JS, Liao CL (1999) Finite-element modelling of static surface errors in peripheral milling of thin-walled workpieces. J Mater Process Technol 95:235–246

    Article  Google Scholar 

  12. Wan M, Zhang W, Qiu K, Gao T (2005) Numerical prediction of static form eros in peripheral milling of thin-walled workpieces with irregular meshes. J MAE 127:13–22

    Google Scholar 

  13. Budak E, Altintas Y (1992) Flexible milling force model for improved surface error predictions. Proc Eng Des Anal ASME 47:89–94

    Google Scholar 

  14. Tlusty J, Ismail F (1981) Basic nonlinearity in machining chatter. Ann CIRP 18:335–344

    Google Scholar 

  15. Coffignal G, Lorong P, Planchat J, Yaqub S, Larue A (2006) Virtual machining: a general approach to deal with flexible workpieces. In: Micari F, Filice L (eds) Proceedings of the 10th CIRP international workshop on modelling of machining operations, Reggio Calabria, pp 477 –483

  16. Larue A, Lapujoulade F (2006) Prediction of surface quality in thin wall machining. In: Altintas Y (ed) Proceedings of the 2nd CIRP international conference on high performance cutting, Vancouver

  17. Weinert K, Surmann T (2006) Modelling of surface structures resulting from vibrating milling tools. Prod Eng XIII(2):133–138

    Google Scholar 

  18. Foley JD, Van Dam A, Feiner SK, Hughes JF (1995) Computer graphics, principles and practice. Addison-Wesley, Reading

  19. Weinert K, Surmann T (2003) Geometric simulation of the milling process for free formed surfaces. In: Weinert K (ed) Simulation aided offline process design and optimization in manufacturing sculptured surfaces, Witten Bommerholz (Germany), 21–30

  20. Weinert K, Surmann T (2001) Approaches for modelling engagement conditions in milling simulations. In: van Luttervelt CA (ed) Fourth CIRP international workshop modelling of machining operations, Delft, pp 67–69

  21. Surmann T (2006) Geometric model of the surface structure resulting from the dynamic milling process. In: Grabec I, Govekar E (eds) Proceedings of the 9th CIRP international conference on modelling of machining operations, Bled, Slovenia, pp 187–192

  22. Insperger T, Stepan G (2000) Stability of the milling process. Period Polytech Ser Mech Eng 44(1):47–57

    Google Scholar 

  23. Zienkiewicz OC (1984) Methode der finiten Elemente. Carl Hanser Verlag, München

    Google Scholar 

  24. Shewchuk JR (1994) An introduction to the conjugate gradient method without the agonizing pain. School of Computer Science, Carnegie Mellon University, Pittsburgh

  25. Gradišek J, Kalveram M, Insperger T, Weinert K, Stépán G, Govekar E, Grabec I (2005) On stability prediction for low radial immersion milling. IJMPT 9:117–130

    Google Scholar 

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Acknowledgments

This article is based on the research project "Simulation regenerativer Werkstückschwingungen bei der fünfachsigen Fräsbearbeitung von Freiformflächen", which is kindly supported by the German Research Foundation (DFG).

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Correspondence to Petra Kersting.

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Weinert, K., Kersting, P., Surmann, T. et al. Modeling regenerative workpiece vibrations in five-axis milling. Prod. Eng. Res. Devel. 2, 255–260 (2008). https://doi.org/10.1007/s11740-008-0113-5

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  • DOI: https://doi.org/10.1007/s11740-008-0113-5

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