Workpiece dynamic analysis and prediction during chatter of turning process

Abstract In turning operations, a common problem that can drastically degrade the quality of a machined part is regenerative chatter. Proper machine design, such as increased stiffness and damping of the machine tool structure can broaden the range of stable operating conditions. However, the inherent geometry of the tool and workpiece can sometimes severely limit the range of stable cutting. In this case, active control is needed in order to allow for a sufficiently broad range of stability. This work investigates turning relatively compliant workpieces, therefore it is the body that undergoes the bulk of the motion during chatter. Since it is highly impractical to instrument the workpiece, a Neural Network trained with Particle Swarm Optimization is used to transform a radial displacement measurement made at the cutting tool to an estimation of the radial displacement of the workpiece. This could serve as an observer in a real time control system that could mitigate chatter by appropriately actuating an active toolholder such as a fast tool servo. The workpiece displacement was predicted with an average RMSE of 1.41 and 1.70 μm for the two testing datasets. This current approach differs from other chatter detection investigations because with the direct displacement measurement of the toolholder and the output from the Neural Network observer, there is information about both bodies’ motions. In this way, direct conclusions can be made about the stability of cutting in a chatter detection scheme. In addition, the nature of the transition from stable cutting to chatter is investigated by experimentally measuring the variation in uncut chip thickness over time.

[1]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[2]  E. Govekar,et al.  TIME SERIES ANALYSIS IN METAL CUTTING : CHATTER VERSUS CHATTER-FREE CUTTING , 1998 .

[3]  Chun Liu,et al.  An Analytical Model of Cutting Dynamics. Part 1: Model Building , 1985 .

[4]  Kornel Ehmann,et al.  Active chatter suppression by on-line variation of the rake and clearance angles in turning— principles and experimental investigations , 1994 .

[5]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[6]  Alan V. Oppenheim,et al.  Discrete-Time Signal Pro-cessing , 1989 .

[7]  M. Rahman In-Process Detection of Chatter Threshold , 1988 .

[8]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[9]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[10]  J. Tlusty,et al.  A Critical Review of Sensors for Unmanned Machining , 1983 .

[11]  Shih-Chieh Lin,et al.  Low vibration control system in turning , 1992 .

[12]  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 .

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

[14]  Russell C. Eberhart,et al.  Parameter Selection in Particle Swarm Optimization , 1998, Evolutionary Programming.

[15]  Steven Y. Liang,et al.  Chatter stability of a slender cutting tool in turning with tool wear effect , 1998 .

[16]  Yung C. Shin,et al.  A comprehensive dynamic cutting force model for chatter prediction in turning , 1999 .

[17]  R. Eberhart,et al.  Comparing inertia weights and constriction factors in particle swarm optimization , 2000, Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No.00TH8512).

[18]  Hong Chen,et al.  Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems , 1995, IEEE Trans. Neural Networks.

[19]  Y. S. Tarng,et al.  Chatter suppression in turning operations with a tuned vibration absorber , 2000 .

[20]  S. A. Tobias,et al.  A Graphical Analysis of Regenerative Machine Tool Instability , 1962 .

[21]  G. M. Zhang,et al.  Dynamic Generation of Machined Surfaces Part 1: Description of a Random Excitation System , 1991 .

[22]  M. S. Fofana,et al.  Nonlinear regenerative chatter in turning , 2001 .

[23]  S. Smith,et al.  Use of Audio Signals for Chatter Detection and Control , 1992 .

[24]  C. K. Chen,et al.  A stability analysis of turning a tailstock supported flexible work-piece , 2006 .

[25]  S. A. Tobias,et al.  A Theory of Nonlinear Regenerative Chatter , 1974 .

[26]  N. K. Chandiramani,et al.  Dynamics of 2-dof regenerative chatter during turning , 2006 .

[27]  Edvard Govekar,et al.  Using Coarse-Grained Entropy Rate to Detect Chatter in Cutting , 1998 .

[28]  Boualem Boashash,et al.  Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals , 1992, Proc. IEEE.