Breakthrough of regenerative chatter modeling in milling by including unexpected effects arising from tooling system deflection

Self-excited anomalous vibrations called chatter affected milling operations since the beginning of the industrial era. Chatter is responsible for bad surface quality of the machined part and it may severely damage machining system elements. Although the significant advances of recent years, state of the art dynamic models are not yet able to completely explain chatter onset even when some conventional cutting tools are applied for conventional milling operations. In this work, a more general model of regenerative chatter is presented. The model takes into account some additional degrees of freedom and cutting forces which are neglected in the classical approach. By so doing, a more accurate representation of milling dynamics is obtained, especially when considering large diameter cutters. An improved mathematical formulation of regenerative cutting forces is provided with respect to a very recent publication where the new model has been first outlined. This approach allows −45 % of computation time. Moreover, here a new, independent, and stronger experimental validation is provided, where the new model successfully predicts an increase of about +(50 ÷ 100) % of the stability boundaries with respect to the classical prediction, thus showing the potential breakthrough of the new approach.

[1]  Weihong Zhang,et al.  A unified instantaneous cutting force model for flat end mills with variable geometries , 2014 .

[2]  Michele Monno,et al.  Efficient evaluation of process stability in milling with Spindle Speed Variation by using the Chebyshev Collocation Method , 2014 .

[3]  Henk Nijmeijer,et al.  Automatic In-Process Chatter Avoidance in the High-Speed Milling Process , 2010 .

[4]  Elso Kuljanić,et al.  Multisensor approaches for chatter detection in milling , 2008 .

[5]  David J. Ewins,et al.  Modal Testing: Theory, Practice, And Application , 2000 .

[6]  Gholamreza Vossoughi,et al.  Dynamics of regenerative chatter and internal resonance in milling process with structural and cutting force nonlinearities , 2012 .

[7]  Giacomo Bianchi,et al.  The effects of dynamic interaction between machine tool subsystems on cutting process stability , 2012 .

[8]  Matthew A. Davies,et al.  On the Dynamics of Chip Formation in Machining Hard Metals , 1997 .

[9]  L. Trefethen Spectral Methods in MATLAB , 2000 .

[10]  Christian Brecher,et al.  Chatter suppression with an active workpiece holder , 2010, Prod. Eng..

[11]  Gábor Stépán,et al.  On Stability and Dynamics of Milling at Small Radial Immersion , 2005 .

[12]  Yusuf Altintas,et al.  Generalized mechanics and dynamics of metal cutting operations for unified simulations , 2016 .

[13]  Zoltan Dombovari,et al.  Chatter stability of milling in frequency and discrete time domain , 2008 .

[14]  Yusuf Altintas,et al.  Analytical Prediction of Stability Lobes in Milling , 1995 .

[15]  R. L. Kegg,et al.  An Explanation of Low-Speed Chatter Effects , 1969 .

[16]  I. Grabec Chaotic dynamics of the cutting process , 1988 .

[17]  G. Totis,et al.  RCPM—A new method for robust chatter prediction in milling , 2009 .

[18]  Yusuf Altintas,et al.  Manufacturing Automation: Metal Cutting Mechanics, Machine Tool Vibrations, and CNC Design , 2000 .

[19]  G. Litak,et al.  APPROXIMATE ANALYTICAL SOLUTIONS FOR PRIMARY CHATTER IN THE NON-LINEAR METAL CUTTING MODEL , 2003 .

[20]  Zichen Chen,et al.  Magnetorheological fluid-controlled boring bar for chatter suppression , 2009 .

[21]  Erhan Budak,et al.  An Analytical Design Method for Milling Cutters With Nonconstant Pitch to Increase Stability, Part 2: Application , 2003 .

[22]  Berend Denkena,et al.  Stable islands in the stability chart of milling processes due to unequal tooth pitch , 2011 .

[23]  Ed Bueler,et al.  CHEBYSHEV COLLOCATION FOR LINEAR, PERIODIC ORDINARY AND DELAY DIFFERENTIAL EQUATIONS: A POSTERIORI ESTIMATES , 2008 .

[24]  Natarajan Shankar,et al.  Mitigation of chatter instabilities in milling by active structural control , 2001 .

[25]  Yusuf Altintas,et al.  An Improved Time Domain Simulation for Dynamic Milling at Small Radial Immersions , 2003 .

[26]  Min Wan,et al.  Study on the construction mechanism of stability lobes in milling process with multiple modes , 2015 .

[27]  S. A. Tobias Machine-tool vibration , 1965 .

[28]  Gábor Stépán,et al.  On stability prediction for milling , 2005 .

[29]  Erhan Budak,et al.  An analytical design method for milling cutters with nonconstant pitch to increase stability, Part I: Theory , 2003 .

[30]  M. Sortino,et al.  Wavelet-like Analysis in the Frequency-Damping Domain for Modal Parameters Identification , 2016 .

[31]  M. Sortino,et al.  Robust Analysis of Stability in Internal Turning , 2014 .

[32]  Shyh-Chour Huang,et al.  A combination method of the theory and experiment in determination of cutting force coefficients in ball-end mill processes , 2015, J. Comput. Des. Eng..

[33]  Manfred Weck,et al.  Chatter Stability of Metal Cutting and Grinding , 2004 .

[34]  M. Sortino,et al.  Modeling the dynamic properties of conventional and high-damping boring bars , 2013 .

[35]  L. Taner Tunç,et al.  Prediction of workpiece dynamics and its effects on chatter stability in milling , 2012 .

[36]  Min Wan,et al.  Study of static and dynamic ploughing mechanisms by establishing generalized model with static milling forces , 2016 .

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

[38]  Fathy Ismail,et al.  Stability lobes in milling including process damping and utilizing Multi-Frequency and Semi-Discretization Methods , 2012 .

[39]  Neil D. Sims,et al.  Optimisation of variable helix tool geometry for regenerative chatter mitigation , 2011 .

[40]  Giuseppe Catania,et al.  Theoretical–experimental modeling of milling machines for the prediction of chatter vibration , 2011 .

[41]  Zoltan Dombovari,et al.  The effect of serration on mechanics and stability of milling cutters , 2010 .

[42]  Francisco J. Campa,et al.  Chatter avoidance in the milling of thin floors with bull-nose end mills: Model and stability diagrams , 2011 .

[43]  Matej Sulitka,et al.  Simulation of dynamic properties of a spindle and tool system coupled with a machine tool frame , 2011 .

[44]  D. Segalman,et al.  Suppression of Regenerative Chatter via Impedance Modulation , 2000 .

[45]  Jokin Munoa,et al.  Cylindrical milling tools: Comparative real case study for process stability , 2014 .

[46]  Gábor Stépán,et al.  Multiple chatter frequencies in milling processes , 2003 .

[47]  I. Yellowley,et al.  A new approach to the modeling of oblique cutting processes , 2009 .

[48]  Fritz Klocke,et al.  Development of an innovative plate dynamometer for advanced milling and drilling applications , 2014 .

[49]  Berend Denkena,et al.  High speed process damping in milling , 2012 .

[50]  Michele Monno,et al.  Upgraded stability analysis of milling operations by means of advanced modeling of tooling system bending , 2017 .