Practical Stability Limits in Turning

́r-Nagy, Tama ́s Kalma

doi:10.1115/detc2009-87645

Cited by 4 publications

(6 citation statements)

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“…That is, the truncated nonlinearity in the regenerative cutting force will not predict the existence of a saddle-node bifurcation point right after contact loss occurs. The details of machine tool dynamics can be found in Kalm ar-Nagy [4], where stable periodic motions are predicted. Performing numerical continuation analysis, we obtain the LCO surfaces for without and with NES being applied (Fig.…”

Section: A Practical Tool Model With Contactmentioning

confidence: 99%

“…In practical machining processes, regenerative limit cycle oscillations (LCOs) create adverse effects on machining quality, and many papers deal with the stability and bifurcations of machining processes, as well as with various passive and active means to improve their stability (see, for example, Refs. [1][2][3][4][5][6][7][8]).…”

Section: Introductionmentioning

confidence: 99%

“…Kalm ar-Nagy et al [3] analytically proved, by means of the center manifold theorem [18], the existence of subcritical Hopf bifurcation in an SDOF machine tool model with the regenerative cutting force. Furthermore, practical stability limit in turning process was investigated by considering contact loss issues in the regenerative cutting force [4], which can predict stable, steadystate periodic tool vibrations (or limit cycle oscillations-LCOs). Nankali et al [19,20], proposed application of the NES system to a time-delayed machine tool system.…”

Section: Introductionmentioning

confidence: 99%

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Targeted Energy Transfers for Suppressing Regenerative Machine Tool Vibrations

Nankali

Lee

Kalmár‐Nagy

2016

Journal of Computational and Nonlinear Dynamics

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We study the dynamics of targeted energy transfers in suppressing chatter instability in a single-degree-of-freedom (SDOF) machine tool system. The nonlinear regenerative (time-delayed) cutting force is a main source of machine tool vibrations (chatter). We introduce an ungrounded nonlinear energy sink (NES) coupled to the tool, by which energy transfers from the tool to the NES and efficient dissipation can be realized during chatter. Studying variations of a transition curve with respect to the NES parameters, we analytically show that the location of the Hopf bifurcation point is influenced only by the NES mass and damping coefficient. We demonstrate that application of a well-designed NES renders the subcritical limit cycle oscillations (LCOs) into supercritical ones, followed by Neimark-Sacker and saddle-node bifurcations, which help to increase the stability margin in machining. Numerical and asymptotic bifurcation analyses are performed and three suppression mechanisms are identified. The asymptotic stability analysis is performed to study the domains of attraction for these suppression mechanisms which exhibit good agreement with the bifurcations sets obtained from the numerical continuation methods. The results will help to design nonlinear energy sinks for passive control of regenerative instabilities in machining.

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Section: A Practical Tool Model With Contactmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Targeted Energy Transfers for Suppressing Regenerative Machine Tool Vibrations

Nankali

Lee

Kalmár‐Nagy

2016

Journal of Computational and Nonlinear Dynamics

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“…In practical machining process, regenerative LCOs would create adverse effects on machining quality, and various passive and active means have been considered to improve machining stability boundary (e.g., see [3][4][5][6][7][8]). In particular, direct use or variations of linear/nonlinear tuned mass damper (TMD [7,8]) are probably the most popular approach to passive chatter suppression.…”

Section: Introductionmentioning

confidence: 99%

Targeted Energy Transfer for Suppressing Regenerative Instabilities in a 2-DOF Machine Tool Model

Nankali

Lee

Kalmár‐Nagy

2013

Volume 8: 22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noi

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We study targeted energy transfer (TET) mechanisms by applying a nonlinear energy sink (NES) to suppress regenerative instabilities in a 2-DOF planar machine tool model. With the help of a numerical continuation tool, DDEBIFTOOL, we show that the tool instability is generated through a subcritical Hopf bifurcation in this simplified tool model. Studying modal energy exchanges reveals that only one of the DOFs is predominant, which may lead to the standard single-DOF machine tool model. Then, we apply an ungrounded NES to the 2-DOF tool model such that the NES interacts only with the dominant mode, which turns out to be more efficient than applying the NES to the other insignificant mode. Simple numerical simulations and bifurcation analysis demonstrate that the three typical TET mechanisms can be identified — That is, recurrent burstouts and suppression, and partial and complete suppression of tool instability.

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“…turning and milling. As for turning, the governing equation is relatively simple because the tool has one cutting tooth which still is in contact with the workpiece, so the depth of cut is positive [12,13,15,16]. In the case of milling, the direction and value of the cutting force change due to rotation of the multiblade tool, and the cutting is interrupted as each tooth enters and leaves the workpiece.…”

Section: Introductionmentioning

confidence: 99%

Influence of frictional mechanism on chatter vibrations in the cutting process–analytical approach

Weremczuk

Rusinek

2016

Int J Adv Manuf Technol

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The paper examines a nonlinear one-degree-offreedom model of the cutting process. The classical regenerative mechanism of chatter is enriched by an additional friction phenomenon which generates frictional chatter. Additionally, the nonlinear cubic stiffness of the tool is taken into account. The aim of the paper is to investigate interactions between regeneration and the frictional effect. The proposed model is solved by the multi-time scale method. The cutting process stability (trivial solution) is determined in order to produce stability lobe diagrams and determine the influence of friction on the process. Finally, the maps of chatter amplitudes are presented and new frictional stability lobe diagrams are proposed to analyse the influence of friction.

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Practical Stability Limits in Turning

Cited by 4 publications

References 0 publications

Targeted Energy Transfers for Suppressing Regenerative Machine Tool Vibrations

Targeted Energy Transfers for Suppressing Regenerative Machine Tool Vibrations

Targeted Energy Transfer for Suppressing Regenerative Instabilities in a 2-DOF Machine Tool Model

Influence of frictional mechanism on chatter vibrations in the cutting process–analytical approach

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