Nonlinear dynamics in orthogonal turning process

Marghitu, Dan B.; Ciocirlan, Bogdan O.; Crăciunoiu, Nicolae

doi:10.1016/s0960-0779(00)00195-8

Cited by 13 publications

(4 citation statements)

References 10 publications

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“…It was later demonstrated that dry friction and stick-and-slip motion may be essential factors leading to chatter vibrations [15,16,17]. Recently, chaotic and intermittent oscillations caused by various system nonlinearities were theoretically predicted and experimentally detected [18,19,20,21,22,23,24,25,26,27,28]. Stochastic mechanisms of chatter generation usually attributed to the initial workpiece surface roughness were also studied [21,29].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of stainless steel turning: Analysis by flicker-noise spectroscopy

Litak

Polyakov

Timashev

et al. 2013

Physica A: Statistical Mechanics and its Applications

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We use flicker-noise spectroscopy (FNS), a phenomenological method for the analysis of time and spatial series operating on structure functions and power spectrum estimates, to identify and study harmful chatter vibrations in a regenerative turning process. The 3D cutting force components experimentally measured during stainless steel turning are analyzed, and the parameters of their stochastic dynamics are estimated. Our analysis shows that the system initially exhibiting regular vibrations associated with spindle rotation becomes unstable to high-frequency noisy oscillations (chatter) at larger cutting depths. We suggest that the chatter may be attributed to frictional stick-and-slip interactions between the contact surfaces of cutting tool and workpiece. We compare our findings with previously reported results obtained by statistical, recurrence, multifractal, and wavelet methods. We discuss the potential of FNS in monitoring the turning process in manufacturing practice.

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Section: Introductionmentioning

confidence: 99%

Dynamics of stainless steel turning: Analysis by flicker-noise spectroscopy

Litak

Polyakov

Timashev

et al. 2013

Physica A: Statistical Mechanics and its Applications

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“…Recently, apart from the widely developed chatter vibrations chaotic oscillations caused by various system nonlinearities were predicted and detected [12,13,14,15,16,17,18,19,20]. The recent technological demand is to improve the final surface properties of the workpiece and to minimize the production time with higher cutting speeds [21].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of a regenerative cutting process

2012

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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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“…Finally, the role of the dry friction and the stick-and-slip motion [10][11][12] was indicated and studied extensively. Recently, apart from the widely studied conditions of regular chatter vibrations, noise like chaotic oscillations caused by various system nonlinearities were predicted and detected [13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a stainless steel turning process by statistical and recurrence analyses

Litak

Rusinek

2012

Meccanica

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This paper explores the cutting force oscillations. Forces have been measured during the stainless steel turning. We provide the results of standard statistical analysis of the corresponding time series together with their recurrence properties. We claim that the system, which initially exhibits regular vibrations, is unstable to chaotic oscillation for some fairly larger cutting depths. This characteristic transition in the cutting dynamics can be monitored by recurrences and could have the important implications to design a new control procedure.

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Nonlinear dynamics in orthogonal turning process

Cited by 13 publications

References 10 publications

Dynamics of stainless steel turning: Analysis by flicker-noise spectroscopy

Dynamics of stainless steel turning: Analysis by flicker-noise spectroscopy

Nonlinear dynamics of a regenerative cutting process

Dynamics of a stainless steel turning process by statistical and recurrence analyses

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