Chatter dynamic analysis for a planing model with the effect of pulse

In this paper, the phenomena of chatter vibration in a typicalplaning process is discussed from impulsive point of view. Considering theinstantaneous vibration as an impulse, we present the planing model as asecond-order impulsive dynamical system, which is a specic discontinuousone. Then we investigate its chatter conditions via the method of ow theoryin discontinuous systems, analyze ow's dynamical behaviors on separationsurface and get general results on chatter criterion. Finally, such dynamicalanalysis and criterion are applied to a specic planing model of coal plough.

[1]  XiaoQi Chen,et al.  A novel chatter stability criterion for the modelling and simulation of the dynamic milling process in the time domain , 2003 .

[2]  Marian Wiercigroch,et al.  Sources of nonlinearities, chatter generation and suppression in metal cutting , 2001, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

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

[4]  Li Gui-xuan.  Single-degree-of-freedom dynamic model of coal plough and its simulation , 2009 .

[5]  Xilin Fu,et al.  New approach in dynamics of regenerative chatter research of turning , 2014, Commun. Nonlinear Sci. Numer. Simul..

[6]  Jon R. Pratt,et al.  The Stability of Low Radial Immersion Milling , 2000 .

[7]  B. J. Stone,et al.  An Investigation of the Transient Effects during Variable Speed Cutting , 1980 .

[8]  Guillem Quintana,et al.  Chatter in machining processes: A review , 2011 .

[9]  Albert C. J. Luo,et al.  Discontinuous Dynamical Systems , 2012 .

[10]  Tony Atkins,et al.  Prediction of sticking and sliding lengths on the rake faces of tools using cutting forces , 2015 .

[11]  R N Arnold,et al.  Cutting Tools Research: Report of Subcommittee on Carbide Tools: The Mechanism of Tool Vibration in the Cutting of Steel , 1946 .

[12]  Xilin Fu,et al.  Chatter dynamic analysis for Van der Pol Equation with impulsive effect via the theory of flow switchability , 2014, Commun. Nonlinear Sci. Numer. Simul..

[13]  Tsu-Chin Tsao,et al.  A new approach to stability analysis of variable speed machining systems , 1993 .

[14]  Albert C. J. Luo,et al.  Discontinuous Dynamical Systems on Time-varying Domains , 2009 .

[15]  V. Lakshmikantham,et al.  Theory of Impulsive Differential Equations , 1989, Series in Modern Applied Mathematics.

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

[17]  H. E. Merritt.  Theory of Self-Excited Machine-Tool Chatter: Contribution to Machine-Tool Chatter Research—1 , 1965 .