The article presents a comprehensive study on the tooth bending strength of spur gears with a progressive curved path of contact, or so-called S-gears. Systematic gear meshing simulations were conducted to study the effects of S-gear geometry parameters on tooth bending strength. Different S-gear geometries were analysed in a systematically organized manner, and a comparison was made against a standard 20° pressure angle involute shape. Furthermore, different material combinations, e.g. polymer/polymer, steel/polymer, and steel/steel, of both drive and driven gear were analysed within a meaningful range of loads. The gear profile shape, material combination of the drive and the driven gear, and the transmitted load were found as the main parameters affecting gear tooth bending stress. Complex, non-linear relations between the recognized effects and the corresponding root stress were observed. Based on the numerical results, a shape factor, which considers the above-mentioned effects, was introduced, and a model for root strength control of S-gears was proposed and verified employing the finite element method (FEM).

中文翻译：

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具有渐进弯曲接触路径的齿轮的齿弯曲强度

本文对具有渐进弯曲接触路径的正齿轮或所谓的 S 齿轮的齿弯曲强度进行了全面研究。进行了系统的齿轮啮合模拟，以研究 S 齿轮几何参数对轮齿弯曲强度的影响。以系统组织的方式分析了不同的 S 齿轮几何形状，并与标准的 20° 压力角渐开线形状进行了比较。此外，在有意义的负载范围内分析了驱动齿轮和从动齿轮的不同材料组合，例如聚合物/聚合物、钢/聚合物和钢/钢。发现齿轮齿廓形状、驱动和从动齿轮的材料组合以及传递的载荷是影响轮齿弯曲应力的主要参数。复杂的，观察到识别的影响和相应的根应力之间的非线性关系。基于数值结果，引入了考虑上述影响的形状因子，提出了S齿轮齿根强度控制模型，并采用有限元法（FEM）进行了验证。