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

Nankali, Amir; Lee, Young S.; Kalmár‐Nagy, Tamás

doi:10.1115/detc2013-13510

Cited by 3 publications

(2 citation statements)

References 9 publications

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“…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. They utilized numerical techniques to obtain basin of attraction for different TET mechanisms.…”

Section: Introductionmentioning

confidence: 99%

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: Introductionmentioning

confidence: 99%

Targeted Energy Transfers for Suppressing Regenerative Machine Tool Vibrations

Nankali

Lee

Kalmár‐Nagy

2016

Journal of Computational and Nonlinear Dynamics

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“…These include conventional mechanical linear vibration absorbers [5] , vibro-impact absorbers [6] , friction damping absorbers [7] , self-tunable absorbers [8] , piezoelectric absorbers based on shunt circuits [9] and nonlinear energy sinks [10] . Numerical and experimental studies exhibited their promising performance in terms of stabilization of machining operations, allowing larger depth of cut in stable conditions, which enables to increase production speed.…”

Section: Introductionmentioning

confidence: 99%

Enforcing Linear Dynamics Through the Addition of Nonlinearity

Habib

Grappasonni

Kerschen

2016

Conference Proceedings of the Society for Experimental Mechanics Series

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A passive vibration absorber, termed the nonlinear tuned vibration absorber (NLTVA), is designed for the suppression of chatter vibrations. Unlike most passive vibration absorbers proposed in the literature, the NLTVA comprises both a linear and a nonlinear restoring force. Its linear characteristics are tuned in order to optimize the stability properties of the machining operation, while its nonlinear properties are chosen in order to control the bifurcation behavior of the system and guarantee robustness of stable operation. In this study, the NLTVA is applied to turning machining.

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Quenching chatter instability in turning process with a vibro-impact nonlinear energy sink

Gourc

Seguy

Michon

et al. 2015

Journal of Sound and Vibration

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a b s t r a c tThis paper investigates the passive control of chatter instability in turning processes using a vibro-impact nonlinear energy sink (NES). The workpiece is assumed to be rigid and the tool is flexible. A dynamical model including a nonlinear cutting law is presented and the stability lobes diagram is obtained. The behavior of the system with the vibro-impact NES is investigated using an asymptotic analysis. A control mechanism by successive beating is revealed, similarly to the strongly modulated response in the case of NES with cubic stiffness. It is shown that such a response regime may be beneficial for chatter mitigation. An original experimental procedure is proposed to verify the sizing of the vibro-impact NES. An experimental setup is developed with a vibro-impact NES embedded on the lathe tool and the results are analyzed and validated.

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

Cited by 3 publications

References 9 publications

Targeted Energy Transfers for Suppressing Regenerative Machine Tool Vibrations

Targeted Energy Transfers for Suppressing Regenerative Machine Tool Vibrations

Enforcing Linear Dynamics Through the Addition of Nonlinearity

Quenching chatter instability in turning process with a vibro-impact nonlinear energy sink

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