Altintas, Y., 2000, "*Manufacturing Automation: Metal Cutting Mechanics, Machine Tool Vibrations, and CNC Design*", Cambridge University Press, Cambridge.

Altintas, Y., and Weck, M., 2004, “Chatter Stability of Metal Cutting and Grinding,” CIRP Ann.—Manuf. Technol., 53 (2), pp. 619–642.

[CrossRef]Balachandran, B., 2001, “Nonlinear Dynamics of Milling Processes,” Philos. Trans. R. Soc. London, Ser. A, 359 , pp. 793–819.

[CrossRef]Wiercigroch, M., and Budak, E., 2001, “Sources of Nonlinearities, Chatter Generation and Suppression in Metal Cutting,” Philos. Trans. R. Soc. London, Ser. A359 (1781), pp. 663–693.

[CrossRef]Schmitz, T. L., 2000, “Predicting High-Speed Machining Dynamics by Substructure Analysis,” CIRP Ann. – Manuf. Technol., 49 (1), pp. 303–308.

[CrossRef]Schmitz, T. L., Davies, M. A., and Kennedy, M. D., 2001, “Tool Point Frequency Response Prediction for High-Speed Machining by RCSA,” ASME J. Manuf. Sci. Eng., 123 (4), pp. 700–707.

[CrossRef]Budak, E., Altintas, Y., and Armarego, E. J. A., 1996, “Prediction of Milling Force Coefficients from Orthogonal Cutting Data,” ASME J. Manuf. Sci. Eng., 118 (2), pp. 216–224.

[CrossRef]Altintas, Y., Stépán, G., Merdol, D., and Dombovari, Z., 2008, “Chatter Stability of Milling in Frequency and Discrete Time Domain,” CIRP J. Manuf. Sci. Technol., 1 (1), pp. 35–44.

[CrossRef]Minis, I., and Yanushevsky, R., 1993, “A New Theoretical Approach for the Prediction of Machine Tool Chatter in Milling,” J. Eng. Ind., 115 (1), pp. 1–8.

Altintas, Y., and Budak, E., 1995, “Analytical Prediction of Stability Lobes in Milling,” CIRP Ann.—Manuf. Technol., 44 (1), pp. 357–362.

[CrossRef]Budak, E., and Altintas, Y., 1998, “Analytical Prediction of Chatter Stability in Milling—Part I: General Formulation,” ASME J. Dyn. Syst,. Meas., Control, 120 (1), pp. 22–30.

[CrossRef]Budak, E., and Altintas, Y., 1998, “Analytical Prediction of Chatter Stability in Milling—Part II: Application of the General Formulation to Common Milling Systems,” ASME J. Dyn. Syst., Meas., Control, 120 (1), pp. 31–36.

[CrossRef]Merdol, S. D., and Altintas, Y., 2004, “Multi Frequency Solution of Chatter Stability for Low Immersion Milling,” ASME J. Manuf. Sci. Eng., 126 (3), pp. 459–466.

[CrossRef]Davies, M. A., Pratt, J. R., Dutterer, B., and Burns, T. J., 2002, “Stability Prediction for Low Radial Immersion Milling,” ASME J. Manuf. Sci. Eng., 124 (2), pp. 217–225.

[CrossRef]Insperger, T., and Stépán, G., 2002, “Semi-Discretization Method for Delayed Systems,” Int. J. Numer. Methods Eng., 55 (5), pp. 503–518.

[CrossRef]Insperger, T., and Stépán, G., 2004, “Updated Semi-Discretization Method for Periodic Delay-Differential Equations with Discrete Delay,” Int. J. Numer. Methods Eng., 61 (1), pp. 117–141.

[CrossRef]Insperger, T., Stépán, G., and Turi, J., 2008, “On the Higher-Order Semi-Discretizations for Periodic Delayed Systems,” J. Sound Vib., 313 (1–2), pp. 334–341.

[CrossRef]Seguy, S., Insperger, T., Arnaud, L., Dessein, G., and Peigné, G., 2010, “On the Stability of High-Speed Milling with Spindle Speed Variation,” Int. J. Adv. Manuf. Technol., 48 (9–12), pp. 883–895.

[CrossRef]Seguy, S., Dessein, G., Arnaud, L., and Insperger, T., 2010, “Control of Chatter by Spindle Speed Variation in High-Speed Milling,” Adv. Mater. Res., 112 (1), pp. 179–186.

[CrossRef]Sims, N. D., Mann, B., and Huyanan, S., 2008, “Analytical Prediction of Chatter Stability for Variable Pitch and Variable Helix Milling Tools,” J. Sound Vib., 317 (3–5), pp. 664–686.

[CrossRef]Dombovari, Z., Altintas, Y., and Stepan, G., 2010, “The Effect of Serration on Mechanics and Stability of Milling Cutters,” Int. J. Mach. Tools Manuf., 50 (6), pp. 511–520.

[CrossRef]Bayly, P. V., Halley, J. E., Mann, B. P., and Davies, M. A., 2001, “Stability of Interrupted Cutting by Temporal Finite Element Analysis,” Proceedings of the ASME Design Engineering Technical Conference, Vol. 6C , pp. 2361–2370.

Bayly, P. V., Mann, B. P., Schmitz, T. L., Peters, D. A., Stepan, G., and Insperger, T., 2002, “Effects of Radial Immersion and Cutting Direction on Chatter Instability in End-Milling,” American Society of Mechanical Engineers, Manufacturing Engineering Division, MED, Vol. 13 , pp. 351–363.

Mann, B. P., Young, K. A., Schmitz, T. L., and Dilley, D. N., 2005, “Simultaneous Stability and Surface Location Error Predictions in Milling,” ASME J. Manuf. Sci. Eng., 127 (3), pp. 446–453.

[CrossRef]Mann, B. P., Edes, B. T., Easley, S. J., Young, K. A., and Ma, K., 2008, “Chatter Vibration and Surface Location Error Prediction for Helical End Mills,” Int. J. Mach. Tools Manuf., 48 (3–4), pp. 350–361.

[CrossRef]Butcher, E. A., Ma, H., Bueler, E., Averina, V., and Szabo, Z., 2004, “Stability of Linear Time-Periodic Delay-Differential Equations Via Chebyshev Polynomials,” Int. J. Numer. Methods Eng., 59 (7), pp. 895–922.

[CrossRef]Maghami Asl, F., and Ulsoy, A. G., 2003, “Analysis of a System of Linear Delay Differential Equations,” ASME J. Dyn. Syst., Meas., Control, 125 (2), pp. 215–223.

[CrossRef]Yi, S., Nelson, P. W., and Ulsoy, A. G., 2007, “Delay Differential Equations Via the Matrix Lambert W Function and Bifurcation Analysis: Application to Machine Tool Chatter,” Math. Biosci. Eng., 4 (2), pp. 355–368.

Olvera, D., Calva, V., Gonzalez, J. L., Pacheco, J., Elias-Zuniga, A., and De Lacalle, L. N. L., 2008, “Milling Stability Lobes Computation through the Lambert W Function,” Transactions of the North American Manufacturing Research Institution of SME, Vol. 36 , pp. 233–239.

Olgac, N., and Sipahi, R., 2005, “A Unique Methodology for Chatter Stability Mapping in Simultaneous Machining,” ASME J. Manuf. Sci. Eng., 127 (4), pp. 791–800.

[CrossRef]Olgac, N., and Sipahi, R., 2007, “Dynamics and Stability of Variable-Pitch Milling,” J. Vib. Control, 13 (7), pp. 1031–1043.

[CrossRef]Butcher, E. A., Bobrenkov, O. A., Bueler, E., and Nindujarla, P., 2009, “Analysis of Milling Stability by the Chebyshev Collocation Method: Algorithm and Optimal Stable Immersion Levels,” J. Comput. Nonlinear Dyn., 4 (3), pp. 031003.

[CrossRef]Ding, Y., Zhu, L., Zhang, X., and Ding, H., 2010, “A Full-Discretization Method for Prediction of Milling Stability,” Int. J. Mach. Tools Manuf., 50 (5), pp. 502–509.

[CrossRef]Ding, Y., Zhu, L., Zhang, X., and Ding, H., 2011, “On a Numerical Method for Simultaneous Prediction of Stability and Surface Location Error in Low Radial Immersion Milling,” ASME J. Dyn. Syst., Meas. Control, 133 (2), p.
024503.

[CrossRef]Insperger, T., 2010, “Full-Discretization and Semi-Discretization for Milling Stability Prediction: Some Comments,” Int. J. Mach. Tools Manuf., 50 (7), 658–662.

[CrossRef]Feng, K., and Shi, Z.-C., 2001, "*Mathematical Theory of Elastic Structures*", Springer, Berlin; New York.

Yang, D., and Zhao, Z., 2006, "*The Boundary Element Theory and Application*", Beijing Institute of Technology Press, Beijing, in Chinese.

Delves, L. M., and Mohamed, J. L., 1985, "*Computational Methods for Integral Equations*", Cambridge University Press, Cambridge.

Li, X., 2008, "*Integral Equations*", Science Press, Beijing, in Chinese.

Gradisek, J., Kalveram, M., Insperger, T., Weinert, K., Stepan, G., Govekar, E., and Grabec, I., 2005, “On Stability Prediction for Milling,” Int. J. Mach. Tools Manuf.45 (7–8), pp. 769–781.

[CrossRef]Yang, W. Y., Cao, W., Chung, T.-S., and Morris, J., 2005, "*Applied Numerical Methods Using Matlab*", Wiley-Interscience, Hoboken, NJ.

Farkas, M., 1994, "*Periodic Motions*", Springer-Verlag, New York.

Serre, D., 2002, "*Matrices: Theory and Applications*", Springer-Verlag, New York.

Altintas, Y., Engin, S., and Budak, E., 1999, “Analytical Stability Prediction and Design of Variable Pitch Cutters,” ASME J. Manuf. Sci. Eng., 121 (2), pp. 173–178.

[CrossRef]Insperger, T., Mann, B. P., Stepan, G., and Bayly, P. V., 2003, “Stability of up-Milling and Down-Milling, Part 1: Alternative Analytical Methods,” Int. J. Mach. Tools Manuf., 43 (1), pp. 25–34.

[CrossRef]Henninger, C., and Eberhard, P., 2008, “Improving the Computational Efficiency and Accuracy of the Semi-Discretization Method for Periodic Delay-Differential Equations,” Eur. J. Mech. A/Solids, 27 (6), pp. 975–985.

[CrossRef]Budak, E., 2003, “An Analytical Design Method for Milling Cutters with Nonconstant Pitch to Increase Stability, Part I: Theory,” ASME J. Manuf. Sci. Eng., 125 (1), pp. 29–34.

[CrossRef]Budak, E., 2003, “An Analytical Design Method for Milling Cutters with Nonconstant Pitch to Increase Stability, Part 2: Application,” ASME J. Manuf. Sci. Eng., 125 (1), pp. 35–38.

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