Journal
NONLINEAR DYNAMICS
Volume 69, Issue 3, Pages 1255-1262Publisher
SPRINGER
DOI: 10.1007/s11071-012-0344-z
Keywords
Cutting process; 0-1 test; Multiscale entropy
Categories
Funding
- European Union [POIG.0101.02-00-015/08]
- [FP7-REGPOT-2009-1]
- [245479]
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We examine the regenerative cutting process by using a single degree of freedom nonsmooth model with a friction component and a time delay term. Instead of the standard Lyapunov exponent calculations, we propose a statistical 0-1 test analysis for chaos detection. This approach reveals the nature of the cutting process signaling regular or chaotic dynamics. For the investigated deterministic model, we are able to show a transition from chaotic to regular motion with increasing cutting speed. For two values of time delay showing the different response, the results have been confirmed by the means of the spectral density and the multiscaled entropy.
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