Two DOF modeling with three-dimensional forces and robust chatter control in metal cutting by piezo-actuator

In turning, the occurrence of self-excited vibration, the so called chatter, is undesirable as it gives rise to production problems, causing detrimental effects on the machined surface finish and to decreasing the machining efficiency. In this paper, in order to suppress chatter, a piezoactuator is introduced for the regulation of the machine tool displacement and the metal cutting system is modeled as a two-degree-of-freedom uncertain system with three-dimensional forces. The novelty of the proposed model is the inclusion of hysteresis nonlinearities and time lag, which can explain cause of the chatter. To overcome the chatter during the cutting progress, a robust adaptive control law is proposed and the simulation results show that the proposed adaptive control law significantly eliminates the chatter phenomena.

[1]  Chun-Yi Su,et al.  Adaptive control of a class of nonlinear systems preceded by an unknown backlash-like hysteresis , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[2]  Y. Koren.  Flank Wear Model of Cutting Tools Using Control Theory , 1978 .

[3]  Paul Albrecht,et al.  Dynamics of the Metal-Cutting Process , 1965 .

[4]  Martin Hosek,et al.  A new perspective and analysis for regenerative machine tool chatter , 1998 .

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

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

[7]  Chun-Yi Su,et al.  Robust adaptive control of a class of nonlinear systems with unknown backlash-like hysteresis , 2000, IEEE Trans. Autom. Control..

[8]  M. E. Merchant.  Mechanics of the Metal Cutting Process. I. Orthogonal Cutting and a Type 2 Chip , 1945 .

[9]  J. F. Cuttino,et al.  Performance optimization of a fast tool servo for single-point diamond turning machines , 1999 .

[10]  Kee S. Moon,et al.  Surface Texture Improvement in the Turning Process Via Application of a Magnetostrictively Actuated Tool Holder , 1998 .

[11]  Z. Geng,et al.  Modeling and intelligent chatter control strategies for a lathe machine , 1996, Proceeding of the 1996 IEEE International Conference on Control Applications IEEE International Conference on Control Applications held together with IEEE International Symposium on Intelligent Contro.

[12]  S. Kato,et al.  On the Cause of Regenerative Chatter Due to Workpiece Deflection , 1974 .

[13]  Etsuo Marui,et al.  Chatter Vibration of Lathe Tools. Part 2: On the Mechanism of Exciting Energy Supply , 1983 .

[14]  S. Smith,et al.  Stabilizing chatter by automatic spindle speed regulation , 1992 .

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

[16]  C. M. Kwan,et al.  Modeling and intellligent chatter control strategies for a lathe machine , 1996 .

[17]  Masanori Ohori,et al.  Self-Excited Chatter and its Marks in Turning , 1984 .

[18]  M. Merchán.  Mechanics of the Metal Cutting Process I , 1945 .

[19]  M. E. Merchant.  Mechanics of the Metal Cutting Process. II. Plasticity Conditions in Orthogonal Cutting , 1945 .

[20]  Bi Zhang,et al.  Chatter Suppression via an Oscillating Cutter , 1997, Manufacturing Science and Engineering: Volume 2.

[21]  Etsuo Marui,et al.  Chatter Vibration of Lathe Tools. Part 1: General Characteristics of Chatter Vibration , 1983 .

[22]  Etsuo Marui,et al.  Regenerative Chatter Vibration Occurring in Turning With Different Side Cutting Edge Angles , 1995 .

[23]  S. M. Pandit,et al.  Stability of Random Vibrations With Special Reference to Machine Tool Chatter , 1975 .