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<p>Aiming to address the issues associated with the over-positioning structure and the demanding manufacturing and assembly precision requirements of rotate vector (RV) reducer, a novel 2&#xa0;K-H internal meshing planetary gear reducer, accompanied by a new involute-cycloid tooth profile curve, is proposed. To enhance the load carrying capacity and dynamic characteristics of the proposed reducer, a method for profile and lead modification of the working gear is proposed. Firstly, the mathematical equations of the tooth surface considering modification are derived and geometric model of the modified gear pair is also reconstructed. Then, loaded tooth contact analysis is employed to quantitatively evaluate the influence of four individual modification strategies—drum profile modification, line profile modification, drum lead modification, and line lead modification—as well as their comprehensive modification, on contact pattern, contact stress, and transmission error. Finally, the influence of different shaft angle errors on the meshing behavior of modified gear pair has been carried out. The results demonstrate that, in comparison with drum and line modifications applied individually to the profile or lead, the contact pattern area and contact stress distribution of comprehensive modified gear are significantly improved. During both meshing-in and out stages, the maximum contact stresses of the gear pair are reduced from 711.83 to295.75&#xa0;MPa before modification to 242.57&#xa0;MPa and 132.21&#xa0;MPa after modification, reducing by 65.92 and 55.29%, respectively. Compared with the unmodified case, the contact stress and transmission error of the comprehensive-modified gear pair exhibits reduced sensitivity to the shaft angle errors, effectively mitigating meshing shocks and ensuring smoother gear transmission.</p>

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Influence of modification and shaft angle error on the meshing and mechanical performance of internal meshing planetary reducer with involute-cycloid tooth

  • 期刊论文

  • 发表日期：

    2026年1月6日

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  • Mo Jingyu,
  • Luo Shanming,
  • Gong Xu,
  • Lin Xiaochuan,
  • Liao Longxing

摘要

Aiming to address the issues associated with the over-positioning structure and the demanding manufacturing and assembly precision requirements of rotate vector (RV) reducer, a novel 2 K-H internal meshing planetary gear reducer, accompanied by a new involute-cycloid tooth profile curve, is proposed. To enhance the load carrying capacity and dynamic characteristics of the proposed reducer, a method for profile and lead modification of the working gear is proposed. Firstly, the mathematical equations of the tooth surface considering modification are derived and geometric model of the modified gear pair is also reconstructed. Then, loaded tooth contact analysis is employed to quantitatively evaluate the influence of four individual modification strategies—drum profile modification, line profile modification, drum lead modification, and line lead modification—as well as their comprehensive modification, on contact pattern, contact stress, and transmission error. Finally, the influence of different shaft angle errors on the meshing behavior of modified gear pair has been carried out. The results demonstrate that, in comparison with drum and line modifications applied individually to the profile or lead, the contact pattern area and contact stress distribution of comprehensive modified gear are significantly improved. During both meshing-in and out stages, the maximum contact stresses of the gear pair are reduced from 711.83 to295.75 MPa before modification to 242.57 MPa and 132.21 MPa after modification, reducing by 65.92 and 55.29%, respectively. Compared with the unmodified case, the contact stress and transmission error of the comprehensive-modified gear pair exhibits reduced sensitivity to the shaft angle errors, effectively mitigating meshing shocks and ensuring smoother gear transmission.