Analytical Prediction of Part Dynamics for Machining Stability Analysis
Salih Alan*, Erhan Budak**, and H. Nevzat Özgüven*
*Department of Mechanical Engineering, Middle East Technical University, 06531 Ankara, Turkey
**Faculty of Engineering and Natural Sciences, Sabanci University, Orhanli, Tuzla, 34956 Istanbul, Turkey
An analytical procedure is developed to predict workpiece dynamics in a complete machining cycle in order to obtain frequency response functions (FRF), which are needed in chatter stability analyses. For this purpose, a structural modification method that is an efficient tool for updating FRFs is used. The mass removed by machining is considered to be a structural modification in order to determine the FRFs at different stages of the process. The method is implemented in a computer code and demonstrated on different geometries. The predictions are compared and verified by FEA. Predicted FRFs are used in chatter stability analyses, and the effect of part dynamics on stability is studied. Different cutting strategies are compared for increased chatter-free material removal rates considering part dynamics.
-  S. A. Tobias, “Machine-Tool Vibration,” Blackie & Son Ltd, 1965.
-  J. Tlusty, “Manufacturing Processes and Equipment,” Prentice Hall, 2000.
-  S. A. Tobias and W. Fishwick, “Theory of Regenerative Machine Tool Chatter,” The Engineer, Vol.205, pp. 199-203, 1958.
-  J. Tlusty and M. Polacek, “The stability of Machine Tools against Self Excited Vibrations,” ASME Int. Research in Production Engineering, Vol.1, pp. 465-474, 1963.
-  H. E. Merritt, “Theory of Self-excited Machine-tool Chatter,” J. of Engineering for Industry, Vol.87, pp. 447-454, 1965.
-  F. Koenigsberger and J. Tlusty, “Machine Tool Structures,” Vol.1, Pergamon Press, 1970.
-  I. Minis and R. Yanushevsky, “A New Theorethical Aproach for the Prediction of Machine Tool Chatter in Milling,” J. of Engineering for Industry, Vol.115, pp. 1-8, 1993.
-  E. Budak and Y. Altıntaş, “Analytical Prediction of Chatter Stability in Milling – Part I: General Formulation,” Trans. of the ASME, Vol.120, pp. 22-30, 1998.
-  E. Budak and Y. Altıntaş, “Analytical Prediction of Chatter Stability in Milling – Part II: Application of the General Formulation to Common Milling Systems,” Trans. of the ASME, Vol.120, pp. 31-36, 1998.
-  T. Schmitz and R. Donaldson, “Predicting High-Speed Machining Dynamics by Substructure Analysis,” Annals of the CIRP, Vol.49, No.1, pp. 303-308, 2000.
-  T. Schmitz, M. Davies, and M. Kennedy, “Tool Point Frequency Response Prediction for High-Speed Machining by RCSA,” J. of Manufacturing Science and Engineering, Vol.123, pp. 700-707, 2001.
-  A. Ertürk, H. N. Özgüven, and E. Budak, “Analytical Modeling of Spindle–tool Dynamics on Machine Tools Using Timoshenko Beam Model and Receptance Coupling for the Prediction of Tool Point FRF,” Int. J. of Machine Tools & Manufacture, Vol.46, pp. 1901-1912, 2006.
-  E. Budak, A. Ertürk, and H. N. Özgüven, “A Modeling Approach for Analysis and Improvement of Spindle-holder-tool Assembly Dynamics,” Annals of the CIRP, Vol.55, pp. 369-372, 2006.
-  A. Ertürk, H. N. Özgüven, and E. Budak, “Effect analysis of bearing and interface dynamics on tool point FRF for chatter stability in machine tools by using a new analytical model for spindle – tool assemblies,” Int. J. of Machine Tools & Manufacture, Vol.47, pp. 23-32, 2007.
-  U. Bravo, O. Altuzarra, L. N. López de Lacalle, J. A. Sánchez, and F. J. Campa, “Stability Limits ofMilling Considering the Flexibility of the Workpiece and the Machine,” Int. J. of Machine Tools & Manufacture, Vol.45, pp. 1669-1680, 2005.
-  V. Thevenot, L. Arnaud, G. Dessein, and G. Cazenave-Larroche, “Influence ofMaterial Removal on the Dynamic Behaviour of Thinwalled Structures in Peripheral Milling,” Machining Science and Technology, Vol.10, pp. 275-287, 2006.
-  V. Thevenot, L. Arnaud, G. Dessein, and G. Cazenave-Larroche, “Integration of Dynamic Behaviour Variations in the Stability Lobes Method: 3D Lobes Construction and Application to Thin-walled Structure Milling,” The International Journal of Advanced Manufacturing Technology, Vol.27, pp. 638-644, 2006.
-  J. V. Le Lan, A. Marty, and J. F. Debongnie, “Providing Stability Maps for Milling Operations,” Int. J. of Machine Tools & Manufacture, Vol.47, pp. 1493-1496, 2006.
-  I. Mañé, V. Gagnol, B. C. Bouzgarrou, and P. Ray, “Stabilitybased Spindle Speed Control During Flexible Workpiece Highspeed Milling,” International Journal of Machine Tools & Manufacture, Vol.48, pp. 184-194, 2007.
-  K. Weinert, P. Kersting, T. Surmann, and D. Biermann, “Modeling Regenerative Workpiece Vibrations in Five-axis Milling,” Production Engineering Research and Development, Vol.2, No.3, pp. 255-260, 2008.
-  S. Atlar, E. Budak, and H. N. Özgüven, “Modeling Part Dynamics and Chatter Stability in Machining Considering Material Removal,” 1st Int. Conf. on Process Machine Interactions, Hannover, pp. 61-72, 2008.
-  H. N. Özgüven, “Structural Modifications Using Frequency Response Functions,” Mechanical Systems and Signal Processing, Vol.4, No.1, pp. 53-63, 1990.
-  CutPro, Manufacturing Automation Lab.
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