Use of inverse stability solutions for identification of uncertainties in the dynamics of machining processes
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Research on dynamics and stability of machining operations has attracted considerable attention. Currently, most studies focus on the forward solution of dynamics and stability in which material properties and the frequency response function at the tool tip are known to predict stable cutting conditions. However, the forward solution may fail to perform accurately in cases wherein the aforementioned information is partially known or varies based on the process conditions, or could involve several uncertainties in the dynamics. Under these circumstances, inverse stability solutions are immensely useful to identify the amount of variation in the effective damping or stiffness acting on the machining system. In this paper, the inverse stability solutions and their use for such purposes are discussed through relevant examples and case studies. Specific areas include identification of process damping at low cutting speeds and variations in spindle dynamics at high rotational speeds.
KeywordsInverse stability Machining dynamics High speed milling Process damping Spindle dynamics
The authors acknowledge the support of Turkish National Science Foundation (Grant No. 108M340).
- 1.Taylor FW (1907) On the art of cutting metals. American Society of Mechanical Engineers, New YorkGoogle Scholar
- 4.Tlusty J, Polacek M (1963) The stability of machine tools against self-excited vibrations in machining. Int Res Prod Eng 465–474Google Scholar
- 5.Das MK, Tobias SA (1967) The relation between the static and the dynamic cutting of metals. Int J Mach Tool Des Res 763:89Google Scholar
- 6.Koenigsberger F, Tlusty J (1967) Machine tool structures-Vol. I: stability against chatter. Pergamon Press, OxfordGoogle Scholar
- 7.Opitz H, Bernardi F (1970) Investigation and calculation of the chatter behavior of lathes and milling machines. Ann CIRP 18:335–343Google Scholar
- 10.Tlusty J (1978) Analysis of the state of research in cutting dynamics. Ann CIRP 27(2):583–589Google Scholar
- 16.Harris TA (2001) Rolling bearing analysis, 4th edn. Wiley, New YorkGoogle Scholar
- 20.Kruth JP, Liu AMM, Vanherck P et al (2002) A strategy for selection of optimal cutting parameter in high-speed milling to avoid chatter vibration. Int J Prod Eng Comput 4(5):35–42Google Scholar
- 21.Kilic ZM, Iglesias A, Munoa J et al (2010) Investigation of tool wear on the stability of milling process using an inverse method. In: CIRP 2nd international conference on process machine interactions, Vancouver, CanadaGoogle Scholar
- 29.Opitz H, Weck MC (1970) Determination of the transfer function by means of spectral density measurements and its application to dynamic investigation of machine tools under machining conditions. In: Proceedings of the 10th international MTDR conference, University of Manchester Institute of Science and Technology, ManchesterGoogle Scholar
- 30.Minis IE, Magrab EB, Pandelidis IO (1990) Improved methods for the prediction of chatter in turning Part 1: determination of structural response parameters. Trans ASME 112:12–20Google Scholar