Abstract
The parameter study of a machine-tool with intermittent cutting is completed for eccentricity frequency and amplitude. The effects with respect to chip length are also incorporated, such that comparisons of the parameter maps can be accomplished. Specific areas within the parameter maps are studied, via switching components, to explain the complicated motions within. In such a case, the switching characteristics are shown in relation to the eccentricity frequency. The complexity of the periodic solution structure, with regard to the vector fields and map** quantities, is discussed. Furthermore, the traditional definition of a stability boundary is extended beyond that in literature. The most useful data is the overlay of the number of map**s and minimum switching force product record. This aspect illustrates the extent and location of complexity in the machine-tool model studied herein.
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References
Traverso MG, Zapata R, Schmitz TL, Abbas AE (2009) Optimal experimentation for selecting stable milling parameters: a Bayesian approach. In: Proceedings of the ASME 2009 international manufacturing science and engineering conference MSEC2009-84032
Chandrasekaran H, Thoors H (1994) Tribology in interrupted machining: role of interruption cycle and work material. Wear 179:83–88
Wiercigroch M (1997) Chaotic vibration of a simple model of the machine tool-cutting process system. Trans ASME J Vib Acoust 119:468–475
Navarro-Lopez EM (2009) An alternative characterization of bit-sticking phenomena in a multi-degree-of-freedom controlled drillstring. Nonlinear Anal Real World Appl 10(5):3162–3174
Luo AC (2005) A theory for non-smooth dynamical systems on connectable domains. Commun Nonlinear Sci Numer Simul 10:1–55
Gegg BC, Suh CS, Luo ACJ (2008) Chip stick and slip periodic motions of a machine tool in the cutting process. In: ASME manufacturing science and engineering conference proceedings, MSEC ICMP2008/DYN-72052
Gegg BC, Suh CS, Luo ACJ (2008) Periodic motions of a machine tool with intermittent cutting. In: International mechanical engineering conference and exposition proceedings, IMECE ASME2008/VIB-67109
Gegg BC, Suh Steve, Luo ACJ (2008) Analytical prediction of interrupted cutting periodic motions in a machine tool. NSC2008-97, NSC, Porto, Portugal
Luo AC, Gegg BC (2004) Grazing phenomena in a periodically forced, linear oscillator with dry friction. Commun Nonlinear Sci Numer Simul 11(7):777–802
Gegg BC, Suh CS, Luo ACJ (2007) Periodic motions of the machine tools in cutting process. DETC2007/VIB-35166, Las Vegas, Nevada
Gegg BC, Suh S, Luo ACJ (2009) Interrupted cutting periodic motions in a machine tool with a friction boundary, Part I: modeling and theory. ASME J Manuf Sci Eng (in press 2010)
Gegg BC (2009) An investigation of the complex motions inherent to machining systems via a discontinuous systems theory approach. PhD dissertation, Texas A&M University, College Station, Texas
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Gegg, B.C., Suh, S.C.S., Luo, A.C.J. (2010). A Parameter Study of a Machine Tool with Multiple Boundaries. In: Luo, A. (eds) Dynamical Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-5754-2_8
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DOI: https://doi.org/10.1007/978-1-4419-5754-2_8
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