Nonlinear Analysis of Temperature during Orthogonal Turning

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In this paper orthogonal turning processes are analyzed for different depth of cut. The temperature during the machining is analyzed. The nonlinear dynamics of the orthogonal turning are characterized with fft, phase plane, time delay, embedding dimension and largest Lyapunov exponents. The Lyapunov exponents can be used as a dynamic stability index for the system. The largest Lyapunov exponents for two different depth of cut show the chaotic behavior of the system.

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309-314

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March 2018

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© 2018 Trans Tech Publications Ltd. All Rights Reserved

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[1] Valery Marinov, Manufacturing Technology, Chapter: Cutting Temperature, pp.74-76.

Google Scholar

[2] Francis C. Moon and Tamas Kalmar-Nagy, Nonlinear models for complex dynamics in cutting materials, Phil. Trans. R. Soc. Lond. A (2001) 359, pp.695-711.

Google Scholar

[3] Wiercigroch, M., Krivtsov, A., Frictional chatter in orthogonal metal cutting, Phil. Trans. R. Soc. Lond. A (2001) 359, p.713 – 738.

DOI: 10.1098/rsta.2000.0752

Google Scholar

[4] Grzegorz Litak, Arkadiusz Syta, Marian Wiercigroch, Identification of chaos in a cutting process by the 0–1 test, Chaos, Solitons and Fractals 40 (2009) 2095–2101.

DOI: 10.1016/j.chaos.2007.09.093

Google Scholar

[5] M.T. Rosenstein, J.J. Collins, and C.J. De Luca, A practical method for calculating largest Lyapunov exponents from small data sets, Physica D, 65, 117-134. (1993).

DOI: 10.1016/0167-2789(93)90009-p

Google Scholar

[6] Grzegorz LITAK, Rafał Rusinek and Andrzej Teter, Nonlinear Analysis of Experimental Time Series of a Straight Turning Process, Meccanica 39: p.105–112, (2004).

DOI: 10.1023/b:mecc.0000005140.26808.28

Google Scholar

[7] Bartosz Powałka, Mirosław Pajor, Stefan Berczyński, Identification of nonlinear cutting process model in turning, Advances in manufacturing science and technology, Vol. 33, No. 3, 2009, pp.17-25.

Google Scholar

[8] Mohammad. S. Hajmohammadi, Mohammad R. Movahhedy, Investigation of thermal effects on machining chatter using FEM simulation of chip formation, Procedia CIRP 1 ( 2012 ) p.50 – 55.

DOI: 10.1016/j.procir.2012.04.007

Google Scholar

[9] Tamas Insperger, Gabor Stepan, Janos Turi, State-dependent delay in regenerative turning processes, Nonlinear Dyn (2007) 47, p.275–283.

DOI: 10.1007/s11071-006-9068-2

Google Scholar

[10] X. -H. Long, B. Balachandran, B. P. Mann, Dynamics of milling processes with variable time delays, Nonlinear Dyn (2007) 47, p.49–63.

DOI: 10.1007/s11071-006-9058-4

Google Scholar

[11] Abdelkader Karas, Mohamed Bouzit, Development of a thermal model in the metal cutting process for prediction of temperature distributions at the tool-chip-workpiece interface, Journal of theoretical and applied mechanics, 51, 3, pp.553-567, Warsaw (2013).

Google Scholar