| Citation: | RUI Chengjie, LI Haitao, YANG Jie, et al. Influence of circumferential positioning error of an hourglass worm wheel hob on land width[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(6): 1096-1105. doi: 10.13700/j.bh.1001-5965.2018.0607(in Chinese)
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Land surfaces of an hourglass worm wheel hob needs to be controlled within a range to ensure the strength and sharpness of cutting edges. Circumference positioning errors lead to the changes of the land width. In order to grind out the required land surfaces, this paper studies the influence of the circumferential positioning errors on the land width. A mathematical model for solving the land width with the circumferential positioning error is established. The variation of the land width along the axial direction and the tooth height direction of the hob is studied. Effects of the circumferential positioning errors on the land width are simulated based on a four-axis linkage virtual hourglass worm grinding machine in VERICUT. The results show that the circumferential positioning errors have the greatest influence on the land width of the side teeth of the hob. There is a strong correlation between the land width and the errors, showing a linear relationship. In an example, the allowable range of the circumferential positioning error is between -0.122° and 0.054° when the land width
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