Mathematics Modelling of Hobbing Gear with Arbitrary Tooth Profile and Investigation

Abstract:

Based on space meshing theory, the coordinate relation between the hob and the gear is established using the general tool which is used to product a standard involute gear. The space conversion matrix of hobbing movement is deduced. The movement controlling model of CNC gear-hobbing machine of the gear with arbitrary tooth profile is built. By taking cosine gear as an example, the modelling is studied. It provides a theoretical foundation for machining the arbitrary profile gear and the complex surface.

• Periodical: Applied Mechanics and Materials (Volume 103)
• Pages: 404-409
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.103.404
• Online since: September 2011
• Authors: Hua Rong Hu, Shan Ming Luo, Lei Chen
• Keywords: Arbitrary Tooth Profile, Controlling Model, Cosine Gear

References

[1] Luo Shanming, Wu Yue, Wang Jian, et al. The Generation Principle and Mathematical Models of a Novel Gear Drive. Mechanism and Machine Theory, 2008, 43(12): 1543-1556.

DOI: 10.1016/j.mechmachtheory.2007.12.007

[2] F. L. Litvin, I. gnacio Gonzalez-Perez, et al., Generation of planar and helical elliptical gear by application of rack-cutter, hob, and shaper. Computer Methods Application of Mechanical Engineering. 2007, 196: 4321-4336.

DOI: 10.1016/j.cma.2007.05.003

[3] Hidehiro Yoshino, Ming Shao. etc. Design and Manufacture of Pinion Cutters for Finishing Gear with an Arbitrary Profile. JSME International Journal, Series III, 1992, 35(2): 313-319.

DOI: 10.1299/jsmec1988.35.313

[4] Ishibashi,A. and Yoshino,H. Design and Manufacture of Gear Cutting Tools and Gears with an Arbitrary Profile, Arbitrary Profile. JSME Int.J., 1987, 30(265): 1159-1166.

DOI: 10.1299/jsme1987.30.1159

[5] Gu Baokang. New Process of Making the High-precision Gear. WMEM, 1996(3): 71-72.

[6] Wang Xiaochun, Wu Xutang, Liyanbin. Closely Curvature Method -A Free Surface Processing and New Concepts. Xi'an Jiaotong University Journal. 1992, 26(5): 51-58.

[7] Yao Nanxun, Wang Dianlong. Grinding Alien Degeneration of the Conjugate Curved Principle. Journal of Mechanical Engineering. 1988, 24(4): 47-52.

[8] Yu Huawen, Zhou Yunfei, Li Zuoqing. CNC Generating Method with Standard Hob for Arbitrary Gear Profile. The Chinese Mechanical Engineering, 2000, 11(5): 555-557.

[9] Wu. Yanming, Wang. Chunxian. CNC. Machining. Technology. of. Gear. with. Longitudinal. Correction. Journal. of. Manufacturing. Technology. and. Machine. Tools, 2000(6): 32-34.

[10] Hu Chibin, Ding Heyan, Yan Keming etc. Simultaneous-control Methods of CNC for Hobbing Noncircular Helical Gears. Journal of Chinese Mechanical Engineering, 1998, 15(24): 2175-2178.

[11] Ji Xiaohong, Chui Ying. As any Form Profile Gear Numerical Control Machining Theory and Computer Simulate Study. Journal of Jiaozuo Tech (natural science edition), 2000, 19(1): 35-40.

[12] small module gear processing, editorial. Small module gear processing. Beijing: defense industry press, (1972).

[13] Hou Qizhen, Xu Zhihua. Design of Multi-axis Coordinate Motion Architecture for CNC Gear Hobbing Machine Based on Speed Control. Machine Tool and Hydraulic, 2007, 35(4): 53-55.

[14] Jensen C.G. and Anderson D.C. Accurate Tool Placement and Orientation for Finish Surface Maching. ASME Winter Annual Meeting, (1992).

[15] Renker, H. Collision-Free Five-Axis Milling of Twisted Ruled Surfaces Annuals of the CIRP. CIRP Annals-Manufacturing Technology, 1993, 42(1): 457-461.

DOI: 10.1016/s0007-8506(07)62485-8