Algorithm of Identifying Pencil-Cutting Regions for Free-Form Surface

Abstract:

This paper presents a methodology for pencil-cutting regions detection in five axis NC machining of free-form surfaces. The local interference of surface occurs when the radius of the local surface curvature is smaller than that of the cutter. It is a time-consuming work to calculate the free-form surface curvature by differential geometry, so the arc radius is used to approximately compute the curvature radius of the surface to judge the local interference. Computer implementation and practical examples are also presented in this paper.

• Periodical: Applied Mechanics and Materials (Volumes 236-237)
• Pages: 454-458
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.236-237.454
• Online since: November 2012
• Authors: Wan Jun Li
• Keywords: B-Spline, Curvature Radius, Deviation Error, Pencil-Cutting Regions

References

[1] D.C.H. Yang, Z. Han. Interference detection and optimal tool selection in 3-axis NC maching of free-form surfaces[J]. Computer-Aided Design, 1999, 31: 303-315.

DOI: 10.1016/s0010-4485(99)00031-7

[2] Tao Chen, Peiqing Ye, Jinsong Wang. Local interference detection and avoidance in five-axis NC machining of sculptured surfaces[J]. Int J Adv Manuf Technol, 2005, 25: 343-349.

DOI: 10.1007/s00170-003-1921-6

[3] Ren Y, Yau HT, Lee Y-S. Contraction tool method and clean-up tool path generation for machining polynomial models [J]. Computer Ind, 2004: 54(1): 17–33.

DOI: 10.1016/j.compind.2003.09.003

[4] Zhu W, Lee Y-S. Five axis pencil-cut planning and virtual prototyping with a 5-DOF haptic interface [J. Computer Aided Des, 2004: 36(13): 1295–307.

DOI: 10.1016/j.cad.2004.01.013

[5] Yongfu Ren, Weihang Zhu, Yuan-Shin Lee. Material side tracing and curve refinement for pencil-cut machining of complex polyhedral models [J]. Computer-Aided Design, 2005: 1015 -1026.

DOI: 10.1016/j.cad.2004.10.003

[6] Meng Shuyun. Fundamental Research on High Precision Interpolation Algorithm of Curves and Sculptured Surface for Open Architecture CNC Systems[D]. Nan Jing: Nan Jing University of Aeronautics and Astronautics, (2006).

[7] Yuan-Shin Lee, Yawei Ma, George Jegadesh. Rolling-ball method and contour marching approach to identifying critical region for complex surface machining [J]. Computer in Industry, 2000: 163-180.

DOI: 10.1016/s0166-3615(99)00042-1

[8] MEI Zhongyi, FAN Yuqing. An Algorithm for subdividing and Approximating NURBS Surface into Quadrilateral Mesh [J]. Journal of Engineering Graphcs, 2003, 3: 105-110.

[9] Shin Fazhong. GAGD&NURBS [M]. Bei Jing: High Education Press, 2001: 284-293.

[10] HUO Ying, YANG Maokui. Tool Path Generation for Five-axis NC Machining Based on Improved Iso-scallop Method[J]. Manufacturing Technology & Machine and Tool, 2005, (3): 67-69.

[11] Yan Sijie, Zhou Yunfei, Chen Xuedong et al. Research on Interference Check and Avoidance in Five-Axis NC Machining[J]. China Mechanical Engineering, 2006, 17(17): 1822-1825.

[12] HE Xueming, LI Jiankang, ZHANG Rong et al. Interference Detection in NC Machining of Freeform Surfaces Using an End Milling Cutter[J]. Journal of Southern Yangtze University (Natural Science Edition), 2005, 4(3): 295-301.

[13] Yao Yunping, Yan Jiayun. Research on Interference Avoidance in Sculpture Surface Machining[J]. Tool Engineering, 2006, 40: 37-39.