Proposal of Contour Line Model for High-Speed End Milling Simulation
Isamu Nishida and Keiichi Shirase
1-1 Rokko-dai, Nada-ku, Kobe, Hyogo 657-8501, Japan
A contour line model for end milling simulation, which realizes high-speed arithmetic processing by reducing memory usage, is proposed. In this model, a 3-dimensional shape can be expressed by superimposing the contour lines of the cross-sections obtained by dividing the workpiece along any axial direction. Therefore, the memory usage is reduced compared to a Z-map model or a voxel model as the interior information of the object can be eliminated. The contour line model can also be applied to complicated shapes having overhangs. Furthermore, cutting volume can be calculated from the interference area enclosed by two contour lines of the workpiece and the tool cross-sections. The workpiece shape can be changed by eliminating the interference area. In the contour line model, cutting force can also be predicted with an instantaneous rigid force model using the uncut chip thickness for each cutting edge from the positional relationship between the interference area and the cutting edge. To validate the proposed model, cutting experiments were conducted, which confirmed that the predicted machining shape had good agreement with the actual machined shape. Furthermore, it was confirmed that the cutting force can be predicted accurately.
-  J. Tlusty and P. MacNeil, “Dynamics of Cutting Forces in End Milling,” CIRP Annals, Vol.24, No.1, p. 21, 1975.
-  D. Mongomery and Y. Altintas, “Mechanism of cutting force and surface generation in dynamic milling,” J. of Engineering for Industry, Vol.113, No.2, p. 21, 1991.
-  Y. Altintas and P. Lee, “A General Mechanics and Dynamics Model for Helical End Mills,” CIRP Annals, Vol.45, No.1, p. 59, 1996.
-  K. Shirase and Y. Altintas, “Cutting force and dimensional surface error generation in peripheral milling with variable pitch helical end mills,” Int. J. of Machine Tools and Manufacture, Vol.36, No.5, pp. 567-584, 1996.
-  T. Matsumura, T. Furuki, and E. Usui, “Prediction of Cutting Process with Curved-Edge End Mill (1st Report),” The Japan Society of Mechanical Engineers, Vol.69, No.688, pp. 3396-3402, 2003.
-  W. Ferry and D. Yip-Hoi, “Cutter-workpiece engagement calculations by parallel slicing for five-axis flank milling of jet engine impellers,” ASME J. of Manufacturing Science and Engineering, Vol.130, No.5, 051011, 2008.
-  A. D. Spence and Z. Li, “Parallel Processing for 2-1/2D Machining Simulation,” Proc. of the 6th ACM Symp. on Solid Modeling and Applications (SMA ’01), pp. 140-148, 2001.
-  T. Nishikawa, K. Kikuta, M. Mondou, T. Tsutsumoto, and J. Kaneko, “Machining Error Compensation System in End Milling,” J. of the Japan Society for Precision Engineering, Vol.78, No.11, pp. 975-979, 2012.
-  Y. Takeuchi, M. Sakamoto, Y. Abe, R. Orita, and T. Sata, “Development of a personal CAD/CAM system for mold manufacture based on solid modeling techniques,” CIRP Annals, Vol.38, No.1, p. 429, 1989.
-  M. Inui, “Fast Simulation of Sculptured Surface Milling with 3-Axis NC Machine,” Trans. of Information Processing Society of Japan, Vol.40, No.4, pp. 1808-1815, 1999.
-  A. Sullivan, H. Erdim, R. Perry, and S. Frisken, “High Accuracy NC Milling Simulation Using Composite Adaptively Sampled Distance Fields,” J. of Computer-Aided Design, Vol.44, pp. 522-536, 2012.
-  T. Kishinami, S. Kanai, H. Shinjo, H. Nakahara, and K. Saito, “An application of voxel representation to machining simulator,” J. of the Japan Society for Precision Engineering, Vol.55, No.1, pp. 105-110, 1989.
-  M. Balasuabramaniam, P. Laxmiprasad, S. Sarma, and Z. Shaikh, “Generating 5-axis NC roughing paths directly from a tessellated representation,” Computer-Aided Design, Vol.32, No.4, pp. 261-277, 2000.
-  S. Hauth, Y. Murtezaoglu, and L. Linsen, “Extended linked voxel structure for point-to-mesh distance computation and its application to NC collision detection,” Computer-Aided Design, Vol.41, No.12, pp. 896-906, 2009.
-  T. Hasegawa, R. Sato, and K. Shirase, “Cutting Force Simulation Referring Workpiece Voxel Model for End-milling Operation and Adaptive Control Based on Predicted Cutting Force,” J. of the Japan Society for Precision Engineering, Vol.82, No.5, pp. 467-472, 2016.
-  M. Inui and N. Umezu, “Implementation of a 5-Axis Milling Simulation System Using Triple Dexel Models,” J. of the Japan Society for Precision Engineering, Vol.76, No.3, pp. 361-366, 2010.
-  Y. Tsuchitana, J. Kaneko, and K. Horio, “Fast Simulation Algorithm of Voxel Representation Method for Multi Axis Control Machining,” J. of the Japan Society for Precision Engineering, Vol.79, No.5, pp. 467-472, 2013.
-  I. Nishida, R. Sato, and K. Shirase, “High Speed Computational Algorithm in Voxel Based Milling Process Simulation for Minute Time and Minute Space Resolution Analysis,” J. of the Japan Society for Precision Engineering, Vol.84, No.2, pp. 175-181, 2018.
-  I. Nishida, R. Okumura, R. Sato, and K. Shirase, “Cutting Force Simulation in Minute Time Resolution for Ball End Milling Under Various Tool Posture,” J. of Manufacturing Science and Engineering (ASME), Vol.140, No.2, 021009, 2017.
-  I. Nishida, R. Okumura, R. Sato, and K. Shirase, “Voxel Based End-milling Simulation Considering Elastic Deflection of Tool System,” J. of the Japan Society for Precision Engineering, Vol.84, No.6, pp. 572-577, 2018.
-  I. Nishida and K. Shirase, “Machining Error Correction Based on Predicted Machining Error Caused by Elastic Deflection of Tool System,” J. of the Japan Society for Precision Engineering, Vol.85, No.1, pp. 91-97, 2019.
-  I. Nishida, R. Tsuyama, R. Sato, and K. Shirase, “Customized End Milling Operation of Dental Artificial Crown without CAM Operation,” Int. J. Automation Technol., Vol.12, No.6, pp. 947-954, 2018.
-  H. Narita, “A Determination Method of Cutting Coefficients in Ball End Milling Forces Model,” Int. J. Automation Technol., Vol.7, No.1, pp. 39-43, 2013.
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