Loaded tooth contact analysis (LTCA) has always been a significant contact mechanical performance optimization technique for spiral bevel and hypoid gears. To distinguish with the conventional simulated loaded tooth contact analysis (SLTCA) based on economical software package, numerical loaded tooth contact analysis (NLTCA) and its innovative semi-analytical determination approach is developed. In full consideration of tooth flank flexural behavior characteristic, double-curved shell finite element modeling is performed and then improved tooth contact analysis (TCA) is applied for data-driven determination of loaded tooth contact points. Then, in additional to the global boundary condition, the accurate local boundary conditions is also investigated. In particular, local Rayleigh-Ritz method is used to get new semi-analytically tooth compliance determination by considering computational accuracy and efficiency. Furthermore, NLTCA model is established in considerations of the accurate contact point matching, compatibility and equilibrium conditions. Finally, the main NLTCA evaluations including load distribution, loaded contact pattern, loaded contact pressure and distribution, and loaded transmission error in consideration of time-varying meshing characteristics, respectively. The provided numerical instance can verify the proposed methodology.

载荷齿接触分析（LTCA）一直是螺旋锥齿轮和准双曲面齿轮的重要接触机械性能优化技术。为了与基于经济软件包的常规模拟负载齿接触分析（SLTCA）区别开来，开发了数值负载齿接触分析（NLTCA）及其创新的半分析确定方法。在充分考虑齿面弯曲行为特征的情况下，进行了双曲线壳有限元建模，然后将改进的齿接触分析（TCA）应用于数据驱动的负载齿接触点的确定。然后，除了全局边界条件之外，还研究了准确的局部边界条件。尤其是，考虑到计算精度和效率，使用局部Rayleigh-Ritz方法获得新的半解析式牙齿柔度确定。此外，考虑到精确的接触点匹配，兼容性和平衡条件，建立了NLTCA模型。最后，分别考虑时变啮合特性，主要的NLTCA评估包括载荷分布，载荷接触模式，载荷接触压力和分布以及载荷传递误差。提供的数值实例可以验证所提出的方法。NLTCA的主要评估分别包括考虑时变啮合特性的载荷分布，载荷接触模式，载荷接触压力和分布以及载荷传递误差。提供的数值实例可以验证所提出的方法。NLTCA的主要评估分别包括考虑时变啮合特性的载荷分布，载荷接触模式，载荷接触压力和分布以及载荷传递误差。提供的数值实例可以验证所提出的方法。