In process of cutting tooth surface on planar worm gear
the single-indexing form-cutting method is with low-level efficiency
operation complexity and high error-ratio. To avoid these defects
a continuous-indexing form-cutting method was presented. A mathematical model of fly cutting was proposed by adopting the moving frame
the majorized function was established for minimizing the maximal error. The gyration radius of fly cutter and slope angle of cutter holder were optimized. The error of finish surface in the case was controlled in ±0.01 mm
the surface and error distribution were simulated. The machining precision was tested by contact check-up. It is noted that the red contact mark appearing on tooth surface of worm gear coincides well with the theoretical contact area.
LITVIN F L, GONZALEZ-PEREZ I, YUKISHIMA K, et al. Generation of planar and helical elliptical gears by application of rack-cutter, hob, and shaper [J]. Computer Methods in Applied Mechanics and Engineering, 2007,196(41/44):4321-4336.
LIN Chao, QIU Hua, QIN Datong, et al. Study for simulation analysis and experiment on high-speed dry gear milling by flying cutter [J]. VDI Berichte, 2005, 1904(1):795-808.
LUO Wenjun, ZHANG Guanghui. Research on machining method of planar worm gear using single-tooth flying cutter index-continuously [J]. China Mechanical Engineering, 2006,17(3):277-278.
梅向明,黄敬之.微分几何 [M].2版.北京:高等教育出版社, 1988:149-163.
YANN H, MICHAEL G, JEAN P V. Numerical simulation and optimization of worm gear cutting [J]. Mechanism and Machine Theory, 2006,41(9):1090-1110.
IBRAHIM M D, STEPHEN C V. Off line simulation system of machining processes [J]. Journal of the Franklin Institute, 2007,344:565-576.
SAI W B, SALAH N B, LEBRUN J L. Influence of machining by finishing milling on surface characteristics [J]. International Journal of Machine Tools and Manufacture, 2001,41(3):443-450.