Journal of Vibration Testing and System Dynamics
On The Temporal and Spectral Characteristics of Micro-Milling Dynamics
Journal of Vibration Testing and System Dynamics 1(3) (2017) 177--193 | DOI:10.5890/JVTSD.2017.09.001
Eric B. Halfmann; C. Steve Suh
Nonlinear Engineering and Control Lab, Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123, USA
Download Full Text PDF
Abstract
Due to different chip formation mechanisms, increased tool-radius to feed-rate ratio, and higher spindle speeds, micro-milling is a highly nonlinear process which can produce multiple and broadband frequencies that negatively impact the process. Micro-milling is investigated through the development and analysis of a nonlinear micromilling dynamic model. A lumped mass-spring-damper system is assumed for modeling the dynamic properties of the tool. The force mechanism utilized is a slip-line field model that provides the advantage of being highly dynamic by accounting for the constantly changing effective rake angle and slip-line variables. Accurate prediction of the chip thickness is important in correctly predicting the dynamics of the system since the force mechanism and its variables are a function of the chip thickness. A novel approach for calculating the instantaneous chip thickness which accounts for the tool jumping out of the cut and elastic recovery of the workpiece is presented. The derivation for the effective rake angle is given and the helical angle is accounted for resulting in a three dimensional micro-milling model. The model generates the high frequency force components that are seen in experimental data available in literature. The effect that the helical angle and system stiffness has on the resulting cutting forces is also investigated. It is shown that dynamic instability has the greatest impact on tool performance and improving the dynamic response is a necessity for achieving high speed ultra-stable micro-machining.
References
-
[1]  | Ehrfeld, W. and Ehrfeld, U. (2001), Progress and Profit through micro technologies. Commercial applications of MEMS / MOEMS, Proceedings of SPIE, 4557, 1-10. |
-
[2]  | Dornfeld, D., Min, S., and Takeuchi, Y. (2006), Recent Advances in Mechanical Micromachining, Annals of the CIRP, 55, 745-768. |
-
[3]  | Chae, J., Park, S.S., and Freiheit, T. (2006), Investigation of Micro-cutting Operations, International Journal of Machine Tools & Manufacture, 46, 313-332. |
-
[4]  | Altintas, Y. and Budak, E. (1995), Analytical Prediction of Stability Lobes in Milling, Annals of the CIRP, 44, 357-362. |
-
[5]  | Altintas, Y. (2001), Analytical Prediction of Three Dimensional Chatter Stability in Milling, JSME International Journal, 44(3), 717-723. |
-
[6]  | Altintas, Y., Stepan, G., Merdol, D., and Dombovari, Z. (2008), Chatter Stability of Milling in Frequency and Discrete Time Domain, CIRP Journal of Manufacturing Science and Technology, 1, 35-44. |
-
[7]  | Weingaertner, W.L., Schroeter, R.B., Polli, M.L., and Gomes, J.O. (2006), Evaluation of High-speed Milling Dynamic Stability through Audio Signals, Journal of Materials and Processing Technology, 179, 133-138. |
-
[8]  | Yun, W.S. and Cho, D.W. (2000), An Improved Method for the Determination of 3D Cutting Force Coefficients and Runout Parameters in End Milling, International Journal of Advanceed Manufacturing Technology, 16, 851-858. |
-
[9]  | Moradi, H., Vossoughi, G., Movahhedy, M., and Salarieh, H. (2011), Optimal Control of the Regenerative Chatter in Nonlinear Milling Process, DETC2011-47527, Proceedings of ASME IDETC/CIE, 1-9. |
-
[10]  | Tlusty, J. and Smith, S. (1990), Update on High-Speed Milling Dynamics, Journal of Engineering for Industry, 112, 142-149. |
-
[11]  | Chittipolu, S. (2009), Failure Prediction and Stress Analysis of Microcutting Tools, Master Thesis, Texas A&M University, College Station, TX. |
-
[12]  | Malekian, M., Park, S., and Jun, M. (2009), Modeling of Dynamic Micro-milling Cutting Forces, International Journal of Machine Tools & Manufacture, 49, 586-598. |
-
[13]  | Basuray, P.K., Misra, B.K., and Lal, G.K. (1977), Transition from Ploughing To Cutting during Machining with Blunt Tools, Wear, 43(3), 341-349 |
-
[14]  | Bao, W.Y. and Tansel, I.N. (2000), Modeling Micro-end-milling Operations Part I: Analytical Cutting Force Model, International Journal of Machine Tools & Manufacture, 40, 2155-2173. |
-
[15]  | Kang, I.S., Kim, J.S., Kim, J.H., Kang, M.C., and Seo, Y.W. (2007), A Mechanistic Model of Cutting Force in the Micro end Milling Process, Journal of Materials Processing Technology, 187-188, 250-255 |
-
[16]  | Vogler, M.P., Kapoor, S.G., and DeVor, R.E. (2004), On the Modeling and Analysis ofMachining Performance in Micro-Endmilling, Part II: Cutting Force Prediction, Journal of Manufacturing Science and Engineering, 126, 695-705. |
-
[17]  | Vogler, M.P., DeVor, R.E., and Kapoor, S.G. (2003), Microstructure-Level Force Prediction Model for Micromilling of Multi-Phase Materials, Journal of Manufacturing Science and Engineering, 125, 202-209. |
-
[18]  | Arcona, C. and Dow, T.A. (1998), An Empirical Tool Force Model for Precision Machining, Journal of Manufacturing Science and Engineering, 120, 700-707. |
-
[19]  | Lee, H.U., Cho, D.W., and Ehmann, K.F. (2008), A Mechanistic Model of Cutting Forces in Micro-End- Milling with Cutting-Condition-Independent Cutting Force Coefficients, Journal of Manufacturing Science and Engineering, 130, 1-9. |
-
[20]  | Fang, N. (2003), Slip-line Modeling of Machining with a Rounded Edge Tool – Part I: New Model and Theory, Journal of the Mechanics and Physics of Solids, 51, 715-742. |
-
[21]  | Kim, J.D. and Kim, D.S. (1995), Theoretical Analysis of Micro-Cutting Characteristics in Ultra-Precision Machining, Journal of Materials Processing Technology, 49(3), 387-398. |
-
[22]  | Waldorf, D.J., DeVor, R.E., and Kapoor, S.G. (1998), A Slip-Line Field for Ploughing During Orthogonal Cutting, Journal of Manufacturing Science and Engineering, 120, 693-699. |
-
[23]  | Jun, M.B., Liu, X., DeVor, R.E., and Kapoor, S.G. (2006), Investigation of the Dynamics of Microend Milling – Part I: Model Development, Journal of Manufacturing Science and Engineering, 128, 893-900. |
-
[24]  | Jun, M.B., DeVor, R.E., and Kapoor, S.G. (2006), Investigation of the Dynamics of Microend Milling – Part II: Model Validation and Interpretation, Journal of Manufacturing Science and Engineering, 128, 901-912. |
-
[25]  | Liu, X., DeVor, R.E., and Kapoor, S.G. (2006), An Analytical Model for the Prediction of Minimum Chip Thickness in Micromachining, Journal of Manufacturing Science and Engineering, 128, 474-481. |
-
[26]  | Jardret, V., Zahouani, H., Loubet, J.L., and Mathia, T.G. (1998), Understanding and Quantification of Elastic and Plastic Deformation During a Scratch Test, Wear, 218, 8-14. |
-
[27]  | Matsumura, T., Miyahara, Y., and Ono, T. (2008), Dynamic Characteristics in the Cutting Operations with Small Diameter End Mills, Journal of Advanced Mechanical Design, Systems, and Manufacture, 2(4), 609-618. |
-
[28]  | Rahnama, R., Sajjadi, M., and Park, S.S. (2009), Chatter Suppression in Micro End Milling with Process Damping, Journal of Material Processing Technology, 209, 5766-5776. |
-
[29]  | Kunpeng, Z., San, W.Y., and Soon, H.G. (2009), Wavelet Analysis of Sensor Signals for Tool Condition Monitoring: A Review and Some New Results, International Journal of Machine Tools & Manufacture, 49, 537-553. |
-
[30]  | Huang, N.E., et al. (2009), On Instantaneous Frequency, Advances in Adaptive Data Analysis, 1(2), 177-229. |
-
[31]  | Gandarias, S., Dimov, S., Pham, D.T., Ivanov, A., Popov, K., Lizarralde, R., and Arrazola, P.J. (2006), New Methods for Tool Failure Detection in Micromilling, Proc. IMechE Part B: J. Engineering Manufacture, 220(2), 137-144. |
-
[32]  | Tansel, I., Rodriguez, M., Trujillo, E., and Li. W. (1998), Micro-end-milling – I. Wear and breakage, International Journal of Machine Tools & Manufacture, 38(12), 1419-1436. |
-
[33]  | Fang, F.Z., Wu, H., Liu, X.D., Liu, Y.C., and Ng, S.T. (2003), Tool geometry study in micromachining, Journal of Micromechanics and Microengineering, 13(5), 726-731. |