AN INSTANTANEOUS RIGID FORCE MODEL FOR 3-AXIS BALL-END MILLING OF SCULPTURED SURFACES

An instantaneous rigid force model for prediction of cutting forces in ball-end milling of sculptured surfaces is presented in this paper. A commercially available geometric engine is used to represent the cutting edge, cutter and updated part geometries. The cutter used in this work is an insert type ball-end mill. Intersecting an inclined plane with the cutter ball nose generates the cutting edge. Immersion geometry along the tool path is computed using the contact face between the ball-end mill and the solid model of the updated part. The engaged portion of the cutting edge is divided into small differential oblique cutting edge segments. Friction, shear angles and shear stresses are obtained from orthogonal cutting data available in the open literature. For each tool rotational position, the cutting force components are calculated by summation of the differential cutting forces. The developed model has been verified through experiments performed on several workpieces with different front and side angles. The predicted cutting forces have shown good agreement with experimental results. The developed model can be used as an efficient tool for predicting cutting performance in ball-end milling of sculptured surfaces of dies and moulds.

[1]  Philip K. Chan,et al.  In-process detection and suppression of chatter in milling , 1992 .

[2]  Allan Douglas Spence,et al.  Solid modeller based milling process simulation , 1992 .

[3]  Yusuf Altintas,et al.  Prediction of Ball End Milling Forces , 1996 .

[4]  Hsi-Yung Feng,et al.  The prediction of cutting forces in the ball-end milling process—I. Model formulation and model building procedure , 1994 .

[5]  Yusuf Altintas,et al.  Prediction of ball-end milling forces from orthogonal cutting data , 1996 .

[6]  M. C. Shaw.  Metal Cutting Principles , 1960 .

[7]  Ruxu Du,et al.  Generation of Milled Surfaces Including Tool Dynamics and Wear , 1993 .

[8]  J. Tlustý,et al.  Special Aspects of Chatter in Milling , 1983 .

[9]  D. W. Wu,et al.  A New Approach of Formulating the Transfer Function for Dynamic Cutting Processes , 1989 .

[10]  Min-Yang Yang,et al.  The prediction of cutting force in ball-end milling , 1991 .

[11]  Hsi-Yung Feng,et al.  The prediction of dimensional error for sculptured surface productions using the ball-end milling process. Part 1: Chip geometry analysis and cutting force prediction , 1995 .

[12]  Yusuf Altintas,et al.  Prediction of Milling Force Coefficients From Orthogonal Cutting Data , 1996 .

[13]  Behnam Moetakef Imani,et al.  An improved process simulation system for ball-end milling of sculptured surfaces , 1998 .

[14]  Toshio Sata,et al.  A Cutting Simulation System for Machinability Evaluation Using a Workpiece Model , 1989 .

[15]  Peter Bertok,et al.  A System for Monitoring the Machining Operation by Referring to a Predicted Cutting Torque Pattern , 1983 .

[16]  Mohamed A. Elbestawi,et al.  Closed form formulation of cutting forces for ball and flat end mills , 1997 .

[17]  Allan D. Spence,et al.  On the dynamics of ball end milling: modeling of cutting forces and stability analysis , 1998 .

[18]  Yusuf Altintas,et al.  Mechanics and Dynamics of Ball End Milling , 1998 .