Abstract This study aims to improve the static and dynamic characteristics of a helical gear pair by optimizing the parameters of linear tip-relief. The static analysis intends to reduce the maximum contact stress to extend the service life of the gear pair, while the dynamic analysis attempts to reduce the dynamic transmission error (DTE). First, mathematical models of a helical gear pair generated by rack-cutters with linear tip-relief were developed based on the theory of gearing. Tooth contact analysis enabled us to estimate static transmission error and contact pattern of the gear pair under various assembly errors. Additionally, the contact stress contour and mesh stiffness were calculated through loaded tooth contact analysis by using finite element analysis. A dynamic model of the helical gear pair was also developed to simulate the dynamic characteristics under various rotational speeds, including DTE and vibration energy. Finally, the simulation results revealed that the high contact stress, DTE, and vibration energy of the original helical gear set were successfully reduced by the improved linear tip-relief parameters.

中文翻译：

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设计具有足够线性齿尖释放的斜齿轮组，从而改善静态和动态特性

摘要 本研究旨在通过优化线性齿尖释放参数来改善斜齿轮副的静态和动态特性。静态分析旨在降低最大接触应力以延长齿轮副的使用寿命，而动态分析旨在降低动态传动误差（DTE）。首先，基于齿轮理论建立了由齿条刀具产生的斜齿轮副的数学模型。齿接触分析使我们能够估计齿轮副在各种装配误差下的静态传动误差和接触模式。此外，接触应力轮廓和啮合刚度是通过使用有限元分析的加载齿接触分析来计算的。还开发了斜齿轮副的动态模型，以模拟各种转速下的动态特性，包括 DTE 和振动能量。最后，仿真结果表明，改进的线性齿尖释放参数成功降低了原始斜齿轮组的高接触应力、DTE 和振动能量。