A flexible force model for end milling of low-rigidity parts

Abstract There is a high complexity associated with modelling of cutting forces in machining of thin-wall parts due to the variable part/tool deflection and changing tool immersion angle. The paper reports on a new analytical flexible force model suitable for static machining error compensation of low rigidity components. The model is based on an extended perfect plastic layer model integrated with a finite element model for prediction of part deflection. At each computational step, the flexible force is calculated by taking into account the changes of the immersion angles of the engaged teeth. The material removal process at any infinitesimal segment of the milling cutter teeth is considered as oblique cutting, for which the cutting force is calculated using an orthogonal–oblique transformation. Both the force model and the experimental verifications, use a statistical analysis of the average force. To verify the model the theoretically predicted force is compared with the measured force using a set of cutting trials.

[1]  Svetan Ratchev,et al.  Force and deflection modelling in milling of low-rigidity complex parts , 2003 .

[2]  Satoshi Sakamoto,et al.  Prediction of cutting forces and machining error in ball end milling of curved surfaces -I theoretical analysis , 2001 .

[3]  Yusuf Altintas,et al.  Modeling and avoidance of static form errors in peripheral milling of plates , 1995 .

[4]  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 .

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

[6]  John W. Sutherland,et al.  An Improved Method for Cutting Force and Surface Error Prediction in Flexible End Milling Systems , 1986 .

[7]  Yusuf Altintas,et al.  Dynamic peripheral milling of flexible structures , 1992 .

[8]  Yusuf Altintas,et al.  Mechanics and dynamics of general milling cutters.: Part I: helical end mills , 2001 .

[9]  M. C. Shaw,et al.  Mechanics of Machining: An Analytical Approach to Assessing Machinability , 1989 .

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

[11]  W. Kline,et al.  The Prediction of Surface Accuracy in End Milling , 1982 .

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

[13]  Jer-Shyong Tsai,et al.  Finite-element modeling of static surface errors in the peripheral milling of thin-walled workpieces , 1999 .

[14]  Chia-Hsiang Menq,et al.  The prediction of dimensional error for sculptured surface productions using the ball-end milling process. Part 2: Surface generation model and experimental verification , 1995 .