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Wholly smoothing cutter orientations for five-axis NC machining based on cutter contact point mesh. (English) Zbl 1380.70009
Summary: Cutting forces with respect to different cutter orientations are analyzed for five-axis NC machining of a ball-end cutter. A measure is then defined to quantify the effects of cutter orientation variation. According to the measure, a novel model and algorithm are proposed to wholly optimize cutter orientations based on a cutter contact (CC) point mesh. The method has two advantages. One is that the cutter orientation smoothness along the feed direction and pick-feed direction are both wholly optimized. The other is that only the accessibility cones of mesh points are required to compute and the computation efficiency is improved. These advantages are shown by simulating the machining efficiency, the stability of feed velocities and the smoothness of cutting force. A computational example and a cutting experiment are finally given to illustrate the validity of the proposed method.

70B15 Kinematics of mechanisms and robots
Full Text: DOI
[1] Wang Q H, Li J R, Gong H Q. Graphics-assisted cutter orientation correction for collision-free five-axis machining. Int J Prod Res, 2007, 45(13): 2875–2894
[2] Kersting P, Zabel A. Optimizing NC-tool paths for simultaneous five-axis milling based on multi-population multi-objective evolutionary algorithms. Adv Eng Softw, 2009, 40(6): 452–463 · Zbl 1280.90027
[3] Peng F Y, Su Y C, Zou X M, et al. Global interference and collision detection based on hierarchical OBB tree in the 5-axis machining of impeller. China Mech Eng, 2007, 18(3): 304–307
[4] Wang Q H, Li J R, Zhou R R. Graphics-assisted approach to rapid collision detection for multi-axis machining. Int J Adv Manuf Tech, 2006, 30(9–10): 853–863
[5] Jiang H, Yu Y, Wang X C. Research on interference detection and tool position modification of 5-axis NC machining of grooves with complicated surfaces. Mech Sci Technol, 2007, 26(3): 274–278
[6] Chiou J C J, Lee Y S. Optimal tool orientation for five-axis tool-end machining by swept envelope approach. J Manuf Sci E-T ASME, 2005, 127(4): 810–818
[7] Cai Y L, Xi G, Fan H Z. Detection and correction for global tool interference during 5-axis NC machining of sculptured surface. Chinese J Mech Eng, 2002, 38(9): 131–135
[8] Ho M C, Hwang Y R, Hu C H. Five-axis tool orientation smoothing using quaternion interpolation algorithm. Int J Mach Tool Manu, 2003, 43(12): 1259–1267
[9] Wang N, Tang K. Automatic generation of gouge-free and angular-velocity-compliant five-axis tool path. Comput Aided Design, 2007, 39(10): 841–852 · Zbl 05861447
[10] Morishige K, Takeuchi Y, Kase K. Tool path generation using C-space for 5-axis control machining. J Manuf Sci E-T ASME, 1999, 121(1): 144–149
[11] Yin Z P, Ding H, Xiong Y L. Accessibility analysis in manufacturing processes using visibility cones. Sci China Ser E-Tech Sci, 2002, 45(1): 47–57
[12] Balasubramaniam M, Laxmiprasad P, Sarma S, et al. Generating 5-axis NC roughing paths directly from a tessellated representation. Comput Aided Design, 2000, 32(4): 261–277 · Zbl 05860739
[13] Balasubramaniam M, Sarma S E, Marciniak K. Collision-free finishing toolpaths from visibility data. Comput Aided Design, 2003, 35(4): 359–374 · Zbl 05860983
[14] Bi Q Z, Wang Y H, Ding H. A GPU-based algorithm for generating collision-free and orientation-smooth five-axis finishing tool paths of a ball-end cutter. Int J Prod Res, 2010, 48(4): 1105–1124
[15] Jun C S, Cha K, Lee Y S. Optimizing tool orientations for 5-axis machining by configuration-space search method. Comput Aided Design, 2003, 35(6): 549–566 · Zbl 05861000
[16] Yan R, Peng F Y, Li B. Tool-posture optimization and stiffness index analysis for multi-axis NC machine tools. China Mech Eng, 2008, 19(22): 2699–2702
[17] Castagnetti C, Duc E, Ray P. The domain of admissible orientation concept: A new method for five-axis tool path optimization. Comput Aided Design, 2008, 40(9): 938–950 · Zbl 05861550
[18] Xiong C H. An approach to error elimination for multi-axis CNC machining and robot manipulation. Sci China Ser E-Tech Sci, 2007, 50(5): 560–574 · Zbl 1303.70009
[19] Lamikiz A, de Lacalle L N L, Sánchez J A, et al. Cutting force estimation in sculptured surface milling. Int J Mach Tool Manu, 2004, 44(14): 1511–1526
[20] Lee P, Altintas Y. Prediction of ball-end milling forces from orthogonal cutting data. Int J Mach Tool Manu, 1996, 36(9): 1059–1072
[21] Morishige K, Wakayama H. Optimum tool path generation for 5-Axis control machining considering change in tool attitude for whole of machining surface. J Jpn Soc Precis Eng, 2006, 72(5): 652–656
[22] Lavernhe S, Tournier C, Lartigue C. Optimization of 5-axis high-speed machining using a surface based approach. Comput Aided Design, 2008, 40(10–11): 1015–1023 · Zbl 05861557
[23] Persson P O, Strang G. A simple mesh generator in MATLAB. SIAM Rev, 2004, 46(2): 329–345 · Zbl 1061.65134
[24] Dam E B, Koch M, Lillholm M. Quaternions, Interpolation and Animation. Technical Report DIKU-TR. 1998
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