Abstract
To obtain the change tendency of output angular velocity and tangential contact force of a gear when the pinion under the step input during meshing of a new type of spiral bevel gear, which is a logarithmic spiral bevel gear, the tooth flank equation of logarithmic spiral bevel gear is deduced based on the formation mechanism of the tooth flank formation. A three-dimensional model of a pair of logarithmic spiral bevel gears whose number of teeth was 37:9, with modules being 4.5 mm, normal pressure angle being 20 degrees and spiral angle being 35 degrees were built and assembled. Based on Hertz elastic contact theory, the calculation formulas and parameters sets of contact force for conventional spiral bevel gear meshing simulation and logarithmic spiral bevel gear meshing simulation were done. Consider the dynamic simulation about meshing angular velocity and tangential contact force for conventional spiral bevel gear meshing and logarithmic spiral bevel gear meshing, respectively. Finally, by analyzing and comparing the simulation data, the results show that under the same input conditions, the fluctuation of the gear angular velocity and tangential contact force of logarithmic spiral bevel gear meshing are smaller than the conventional spiral bevel gear. That is, the transmission stationary of logarithmic spiral bevel gear meshing is superior to conventional spiral bevel gear.
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Recommended by Editor Yeon June Kang
Tieming Xiang received his B.S. and M.S. from South China University of Technology in 2002 and 2008, respectively. He is currently a doctoral student at College of Mechanical Engineering and Automation, Huaqiao University, China, his research interests include mechanical dynamics and CAE.
Lizhi Gu received his B.S, M.S. and Ph.D at Harbin Institute of Technology in 1982, 1990 and 2000, respectively. Currently, he is a Professor at Huaqiao University, China. His research interests include metal cutting and advanced manufacturing technology, CAD / CAPP / FMS and digital design and manufacturing.
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Xiang, T., Gu, L. & Xu, J. The meshing angular velocity and tangential contact force simulation for logarithmic spiral bevel gear based on Hertz elastic contact theory. J Mech Sci Technol 30, 3441–3452 (2016). https://doi.org/10.1007/s12206-016-0702-8
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DOI: https://doi.org/10.1007/s12206-016-0702-8