Automated Upgraded Generalized Full-Discretization Method …
103
Acknowledgements The matrices for the elastic workpiece model were kindly provided by
Dominik Hamann. This help is greatly appreciated. The described research was partially done
while C.G. Ozoegwu visited the ITM at the University of Stuttgart in 2019. This stay was funded by
the Priority Program SPP 1897 “Calm, Smooth, Smart” of the DFG (German Research Foundation).
This support is highly appreciated.
References
1. Altinta, Y., Budak, E.: Analytical prediction of stability lobes in milling. CIRP Ann. Manuf.
Technol. 44(1), 357–362 (1995)
2. Insperger, T., Stépán, G.: Stability of the milling process. Period. Polytechn. Mech. Eng. 44(1),
47–57 (2000)
3. Ding, Y., Zhu, L., Zhang, X., Ding, H.: Numerical integration method for prediction of milling
stability. J. Manuf. Sci. Eng. 133(3), 1–9 (2011)
4. Ozoegwu, C., Ofochebe, S., Omenyi, S.: A method of improving chatter-free conditions with
combined-mode milling. J. Manuf. Process. 21, 1–13 (2016)
5. Altintas, Y., Montgomery, D., Budak, E.: Dynamic peripheral milling of flexible structures.
Precis. Eng. 13(3), 137–145 (1991)
6. Bravo, U., Altuzarra, O., López De Lacalle, L.N., Sánchez, J.A., Campa, F.J.: Stability limits
of milling considering the flexibility of the workpiece and the machine. Int. J. Mach. Tools
Manuf. 45(15), 1669–1680 (2005)
7. Herranz, S., Campa, F.J., De Lacalle, L.N., Rivero, A., Lamikiz, A., Ukar, E., Sánchez, J.A.,
Bravo, U.: The milling of airframe components with low rigidity: a general approach to avoid
static and dynamic problems. Proc. Inst. Mech. Eng. Part B: J. Eng. Manuf. 219(11), 789–801
(2005)
8. Thevenot, V., Arnaud, L., Dessein, G., Cazenave-Larroche, G.: Integration of dynamic
behaviour variations in the stability lobes method: 3D lobes construction and application to
thin-walled structure milling. Int. J. Adv. Manuf. Technol. 27(7–8), 638–644 (2006)
9. Thevenot, V., Arnaud, L., Dessein, G., Cazenave-Larroche, G.: Influence of material removal
on the dynamic behavior of thin-walled structures in peripheral milling. Mach. Sci. Technol.
10(3), 275–287 (2006)
10. Adetoro, O.B., Sim, W.M., Wen, P.H.: An improved prediction of stability lobes using nonlinear
thin wall dynamics. J. Mater. Process. Technol. 210(6–7), 969–979 (2010)
11. Budak, E., Tunç, L.T., Alan, S., Özgüven, H.N.: Prediction of workpiece dynamics and its
effects on chatter stability in milling. CIRP Ann. Manuf. Technol. 61(1), 339–342 (2012)
12. Song, Q., Liu, Z., Wan, Y., Ju, G., Shi, J.: Application of Sherman-Morrison-Woodbury formulas in instantaneous dynamic of peripheral milling for thin-walled component. Int. J. Mech.
Sci. 96–97, 79–90 (2015)
13. Yang, Y., Zhang, W.H., Ma, Y.C., Wan, M.: Chatter prediction for the peripheral milling of
thin-walled workpieces with curved surfaces. Int. J. Mach. Tools Manuf. 109, 36–48 (2016)
14. Ahmadi, K.: Finite strip modeling of the varying dynamics of thin-walled pocket structures
during machining. Int. J. Adv. Manuf. Technol. 89(9–12), 2691–2699 (2017)
15. Song, Q., Shi, J., Liu, Z., Wan, Y.: A time-space discretization method in milling stability
prediction of thin-walled component. Int. J. Adv. Manuf. Technol. 89(9–12), 2675–2689 (2017)
16. Shi, J., Song, Q., Liu, Z., Ai, X.: A novel stability prediction approach for thin-walled component milling considering material removing process. Chin. J. Aeronaut. 30(5), 1789–1798
(2017)
17. Song, Q., Ai, X., Tang, W.: 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(9–12), 883–889 (2011)
103
Acknowledgements The matrices for the elastic workpiece model were kindly provided by
Dominik Hamann. This help is greatly appreciated. The described research was partially done
while C.G. Ozoegwu visited the ITM at the University of Stuttgart in 2019. This stay was funded by
the Priority Program SPP 1897 “Calm, Smooth, Smart” of the DFG (German Research Foundation).
This support is highly appreciated.
References
1. Altinta, Y., Budak, E.: Analytical prediction of stability lobes in milling. CIRP Ann. Manuf.
Technol. 44(1), 357–362 (1995)
2. Insperger, T., Stépán, G.: Stability of the milling process. Period. Polytechn. Mech. Eng. 44(1),
47–57 (2000)
3. Ding, Y., Zhu, L., Zhang, X., Ding, H.: Numerical integration method for prediction of milling
stability. J. Manuf. Sci. Eng. 133(3), 1–9 (2011)
4. Ozoegwu, C., Ofochebe, S., Omenyi, S.: A method of improving chatter-free conditions with
combined-mode milling. J. Manuf. Process. 21, 1–13 (2016)
5. Altintas, Y., Montgomery, D., Budak, E.: Dynamic peripheral milling of flexible structures.
Precis. Eng. 13(3), 137–145 (1991)
6. Bravo, U., Altuzarra, O., López De Lacalle, L.N., Sánchez, J.A., Campa, F.J.: Stability limits
of milling considering the flexibility of the workpiece and the machine. Int. J. Mach. Tools
Manuf. 45(15), 1669–1680 (2005)
7. Herranz, S., Campa, F.J., De Lacalle, L.N., Rivero, A., Lamikiz, A., Ukar, E., Sánchez, J.A.,
Bravo, U.: The milling of airframe components with low rigidity: a general approach to avoid
static and dynamic problems. Proc. Inst. Mech. Eng. Part B: J. Eng. Manuf. 219(11), 789–801
(2005)
8. Thevenot, V., Arnaud, L., Dessein, G., Cazenave-Larroche, G.: Integration of dynamic
behaviour variations in the stability lobes method: 3D lobes construction and application to
thin-walled structure milling. Int. J. Adv. Manuf. Technol. 27(7–8), 638–644 (2006)
9. Thevenot, V., Arnaud, L., Dessein, G., Cazenave-Larroche, G.: Influence of material removal
on the dynamic behavior of thin-walled structures in peripheral milling. Mach. Sci. Technol.
10(3), 275–287 (2006)
10. Adetoro, O.B., Sim, W.M., Wen, P.H.: An improved prediction of stability lobes using nonlinear
thin wall dynamics. J. Mater. Process. Technol. 210(6–7), 969–979 (2010)
11. Budak, E., Tunç, L.T., Alan, S., Özgüven, H.N.: Prediction of workpiece dynamics and its
effects on chatter stability in milling. CIRP Ann. Manuf. Technol. 61(1), 339–342 (2012)
12. Song, Q., Liu, Z., Wan, Y., Ju, G., Shi, J.: Application of Sherman-Morrison-Woodbury formulas in instantaneous dynamic of peripheral milling for thin-walled component. Int. J. Mech.
Sci. 96–97, 79–90 (2015)
13. Yang, Y., Zhang, W.H., Ma, Y.C., Wan, M.: Chatter prediction for the peripheral milling of
thin-walled workpieces with curved surfaces. Int. J. Mach. Tools Manuf. 109, 36–48 (2016)
14. Ahmadi, K.: Finite strip modeling of the varying dynamics of thin-walled pocket structures
during machining. Int. J. Adv. Manuf. Technol. 89(9–12), 2691–2699 (2017)
15. Song, Q., Shi, J., Liu, Z., Wan, Y.: A time-space discretization method in milling stability
prediction of thin-walled component. Int. J. Adv. Manuf. Technol. 89(9–12), 2675–2689 (2017)
16. Shi, J., Song, Q., Liu, Z., Ai, X.: A novel stability prediction approach for thin-walled component milling considering material removing process. Chin. J. Aeronaut. 30(5), 1789–1798
(2017)
17. Song, Q., Ai, X., Tang, W.: 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(9–12), 883–889 (2011)