Design Methodology of the Bevel Gear with Helical Teeth

Authors: Khalturin M.A. Published: 10.01.2024
Published in issue: #4(147)/2023  

DOI: 10.18698/0236-3941-2023-4-34-54

Category: Mechanical Engineering and Machine Science | Chapter: Machine Science  
Keywords: bevel gear, displacement coefficient, relative slip coefficient, specific pressure coefficient, overlap coefficient


The paper considers a method for accurate design of a bevel gear with helical teeth. A distinctive feature of the method lies in possibility of the gearing angular correction at insignificant gear ratios (approxi-mately 1--1.9) increasing wear resistance of the gear. The method involves production of the gear parts only on a CNC machine or 3D-printer. It provides the bevel wheels with helical teeth with high degree of accuracy and maximum compliance of quality indicators with the calculated ones. Classic production of the bevel wheels with helical teeth is rather approximate. The required manufacturing quality is achieved by additional simulation of the contact patch and calculation of the error function. Using the helical teeth trajectory (instead of a circular one, etc.) makes it possible to significantly simplify the 3D simulation process. Formation of a spherical involute with the required calculated dependencies forming the method basis is shown. The proposed method is characterized by insignificant amount of calculations compared to the standard method. To design a gear, it is required to know the module, the number of gear and wheel teeth, the displacement coefficients of each part profiles, the gearing width and the helix initial angle. The method also provides for qualitative assessment of the designed gear based on the coefficients of relative slip, specific pressure and overlap. A table of recommended displacement coefficients is provided. To automate the design, the Bevel Gears x64 program written as part of studying the spatial gearing is proposed. An example of calculating geometric parameters of the bevel gear with helical teeth is considered; a 3D-model and the actual assembly of such a gear are also presented

Please cite this article in English as:

Khalturin M.A. Design methodology of the bevel gear with helical teeth. Herald of the Bauman Moscow State Technical University, Series Mechanical Engineering, 2023, no. 4 (147), pp. 34--54 (in Russ.). DOI: https://doi.org/10.18698/0236-3941-2023-4-34-54


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