Crossed-axis helical gears and hypoid gears are two conventional crossed-axis power transmission devices. Helipoid gears, a novel gear proposed herein, possess the merits of the crossed-axis helical and hypoid gears. A mathematical model of the proposed helipoid gear cut by shapers is also derived according to the cutting mechanism and the theory of gearing. The investigation shows that the tooth surface varies with the number of teeth of the shaper. Computer graphs of the helipoid gear are presented according to the developed gear mathematical model, and the tooth surface deviations due to the number of teeth of the shaper are also investigated.
Mathematical Model and Surface Deviation of Helipoid Gears Cut by Shaper Cutters
Contributed by the Power Transmission and Gearing Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received November 2001; revised Associate Editor: A. Kahraman.
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Wu, J., Liu, C., Tsay, C., and Nagata, S. (June 11, 2003). "Mathematical Model and Surface Deviation of Helipoid Gears Cut by Shaper Cutters ." ASME. J. Mech. Des. June 2003; 125(2): 351–355. https://doi.org/10.1115/1.1564570
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