Chatter Control in Turning Process with a Nonlinear Energy Sink

This paper presents the interest of an original absorber of vibration in order to reduce chatter vibration in turning process. The device is composed of a linear oscillator corresponding to a flexible cutting tool subject to chatter strongly coupled to a Nonlinear Energy Sink (NES), with purely cubic stiffness. The novelty of this work is the use of a nonlinear cutting law, more accurate for modeling the cutting process. The delayed equations of motion are analyzed using a combination of the method of multiple scales and harmonic balance. Different types of responses regimes are revealed such as periodic response and also Strongly Modulated Response (SMR). Analytic results are then compared with numerical simulations. Finally, the potential of the NES is demonstrated to control chatter in turning process.

[1]  Alexander F. Vakakis,et al.  Non-linear dynamics of a system of coupled oscillators with essential stiffness non-linearities , 2004 .

[2]  Gábor Stépán,et al.  Stability of up-milling and down-milling, part 2: experimental verification , 2003 .

[3]  Oleg Gendelman,et al.  Strongly modulated response in forced 2DOF oscillatory system with essential mass and potential asymmetry , 2008 .

[4]  Alexander F. Vakakis,et al.  Nonlinear Dynamics of a System of Coupled Oscillators With Essential Stiffness Nonlinearities , 2003 .

[5]  Ali H. Nayfeh,et al.  Analysis of the cutting tool on a lathe , 2011 .

[6]  Berend Denkena,et al.  TOOL ADAPTOR FOR ACTIVE VIBRATION CONTROL IN TURNING OPERATIONS , 2004 .

[7]  Oleg Gendelman,et al.  Bifurcations of Nonlinear Normal Modes of Linear Oscillator with Strongly Nonlinear Damped Attachment , 2004 .

[8]  Angelo Luongo,et al.  Dynamic analysis of externally excited NES-controlled systems via a mixed Multiple Scale/Harmonic Balance algorithm , 2012 .

[9]  Sébastien Seguy,et al.  Chatter milling modeling of active magnetic bearing spindle in high-speed domain , 2011 .

[10]  Gilles Dessein,et al.  SUPPRESSION OF PERIOD DOUBLING CHATTER IN HIGH-SPEED MILLING BY SPINDLE SPEED VARIATION , 2011 .

[11]  Hamed Moradi,et al.  Tuneable vibration absorber design to suppress vibrations: An application in boring manufacturing process , 2008 .

[12]  Jean-Max Redonnet,et al.  Predicting the dynamic behaviour of torus milling tools when climb milling using the stability lobes theory , 2013 .

[13]  Neil D. Sims,et al.  Vibration absorbers for chatter suppression: A new analytical tuning methodology , 2007 .

[14]  Claude-Henri Lamarque,et al.  Vibratory energy exchange between a linear and a nonsmooth system in the presence of the gravity , 2012 .

[15]  S. A. Tobias,et al.  Theory of finite amplitude machine tool instability , 1984 .

[16]  Claude-Henri Lamarque,et al.  Quasiperiodic energy pumping in coupled oscillators under periodic forcing , 2006 .

[17]  Gilles Dessein,et al.  Dynamical Modeling of Spindle with Active Magnetic Bearing for Milling Process , 2011 .

[18]  Min Wang,et al.  Feasibility study of nonlinear tuned mass damper for machining chatter suppression , 2011 .

[19]  Tamás Kalmár-Nagy,et al.  Suppression of Machine Tool Chatter Using Nonlinear Energy Sink , 2011 .

[20]  Guilhem Michon,et al.  Delayed dynamical sytem strongly coupled to a nonlinear energy sink : application to machining chatter , 2012 .

[21]  A. Galip Ulsoy,et al.  Analysis of a System of Linear Delay Differential Equations , 2003 .