Contact Trace of Internal Meshing Double Circular-Arc Spiral Bevel Gears

Background: Nutation transmission with conical movable teeth is a patent about a new type of spacial movable tooth drive that was developed based on the bevel planetary gear drive with a difference in the number of small teeth. Objective: The aim of this study was to establish the fractal contact model and calculate the contact strength of the center gear in the nutation transmission with conical movable teeth based on the M-B fractal contact theory and also to demonstrate the validity of the present solution by comparing it with the FEM results and the Hertz contact results. Methods: Based on the fractal theory, the relationship between the loads and the area for the tapered roller teeth in contact with the center disk was obtained, and the four basic parameters were simulated to analyze the effect of the fractal contact model in MATLAB. Results: The accuracy of the fractal contact model was verified using numerical simulation and analysis of the relationship diagram for the real contact area and load and the contact area ratio chart with different parameters. Conclusion: Based on the FEM theory, the Hertz elastic contact theory, and the fractal theory, the tooth surface contact strength of the center disk was compared and analyzed, which enabled us to demonstrate the validity of the present solution, and measures were taken to optimize and improve the followup design of the nutation drive.

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Meshing and Bearing Analysis of Nutation Drive with Face Gear

Wang

Li-li

Wang

et al. 2020

MENG

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Background: The nutation drive is being extensively interested due to its ability to achieve a high reduction ratio with a compact structure and the potential for low vibration, high efficiency and design flexibility, while many problems including the difficulty to process the inner bevel gear, less number of teeth in engagement and not suitable for high-power transmission have restricted the development of it. Objective: The purpose of this paper is to analyze the contact strength of a patent about a new nutation drive developed on the basis of meshing between two face gears, which has the advantages of both face gear and nutation drive, including large transmission ratio, large coincidence, small size, compact structure and strong bearing capacity. Methods: Based on the meshing principle and basic structure of nutation face gear drive, the contact strength of nutation face gear transmission is analyzed by Hertz contact analysis method and FEM method. Results: The maximum stress values of nutation face gear teeth are compared by two methods, which verifies the accuracy of Hertz contact analytical method in calculating the contact strength of nutation face gear teeth. Furthermore, nine groups of three-dimensional models for nutation face gear drive with transmission ratio of 52 and different cutter parameters are established. Conclusion: The study analyzes the contact stress of fixed and rotary face gears in meshing with planetary face gears, and obtains the distribution law of contact stress and the influence of the number of teeth and parameters of the cutter on the load-carrying capacity.

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Contact Trace of Internal Meshing Double Circular-Arc Spiral Bevel Gears

Cited by 3 publications

References 6 publications

Feasibility analysis of using a two-stage nutation drive as joint reducer for industrial robots

Feasibility analysis of using a two-stage nutation drive as joint reducer for industrial robots

Analysis of Contact Strength for Nutation Transmission with Conical Movable Teeth by Fractal Theory

Meshing and Bearing Analysis of Nutation Drive with Face Gear

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