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The tooth surface structure of high reduction hypoid (HRH) gears is complex, making it challenging to perform contact analysis using conventional commercial software. This paper proposes a contact analysis model specifically for HRH gears. A method for determining the pinion machine tool settings is proposed, based on the differential geometry properties of osculating surfaces. The Ease-off topography is established, the tooth surface contact characteristics are obtained, and the load distribution and contact stress distribution of tooth surface under different loads are calculated. A numerical example verifies the accuracy of the proposed calculation model for HRH gears. The contact patterns under varying loads exhibit point contact characteristics, and the load distribution is deemed reasonable. Finally, a rolling test of the HRH gears is conducted. The contact patterns show good consistency with the theoretically designed patterns, confirming the feasibility of the proposed design method.

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Calculation of Contact Characteristics for High Reduction Hypoid Gears Using Surfaces Synthesis Analysis

  • 会议论文

  • 发表日期：

    2026年

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  • Dewan Gu,
  • Bingyang Wei,
  • Kaiwang Yang,
  • Jianjun Yang

摘要

The tooth surface structure of high reduction hypoid (HRH) gears is complex, making it challenging to perform contact analysis using conventional commercial software. This paper proposes a contact analysis model specifically for HRH gears. A method for determining the pinion machine tool settings is proposed, based on the differential geometry properties of osculating surfaces. The Ease-off topography is established, the tooth surface contact characteristics are obtained, and the load distribution and contact stress distribution of tooth surface under different loads are calculated. A numerical example verifies the accuracy of the proposed calculation model for HRH gears. The contact patterns under varying loads exhibit point contact characteristics, and the load distribution is deemed reasonable. Finally, a rolling test of the HRH gears is conducted. The contact patterns show good consistency with the theoretically designed patterns, confirming the feasibility of the proposed design method.