Design and Bending Stress Analysis of Non-circular Gears with Different Contact Ratio

doi:10.3901/JME.2022.19.206

Abstract

Abstract: Non-circular gear transmission has a wide range of application scenarios. For the non-circular gear transmission, based on the principle and method of gear engagement and material mechanics, the design method of non-circular gear with high contact ratio is proposed. The principle of non-circular gear transmission and the construction method of pitch curve are discussed. The curvature radius of pitch curve and contact ratio of non-circular gear pair are calculated. The calculation models of time-varying meshing stiffness and load sharing ratio of non-circular gears with different contact ratio are established, and the bending stress equation of tooth root of non-circular gears with different contact ratio is derived. The variation rules of contact ratio, time-varying meshing stiffness, time-varying load sharing ratio and tooth root bending stress of non-circular gear pair under different structural parameters are discussed, and the maximum load position of the gear tooth is determined. The simulation analysis and experimental measurement of tooth root bending stress of non-circular gear with different contact ratio are carried out, and the results are compared with the theoretical calculation results. The maximum errors are about 4.8% and 5.9% respectively, which verified the rationality and correctness of the theoretical method and laid a foundation for the engineering application of non-circular gear transmission with high contact ratio.

Key words: design, non-circular gear, contact ratio, time-varying meshing stiffness, load sharing ratio, bending stress

CLC Number:

TH114

YU Yongquan, LIN Chao, HU Yanan. Design and Bending Stress Analysis of Non-circular Gears with Different Contact Ratio[J]. Journal of Mechanical Engineering, 2022, 58(19): 206-220.

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