内齿圈结构类型柔性及均载与动载特性对比分析

随着工业的发展，对于行星传动系统均载和动载亦提出了更高的要求，在传统的内齿圈结构的基础上薄壁柔性内齿圈及采用弹性支撑等类型的柔性内齿圈得以设计与应用。各类型内齿圈的结构特点与柔性差异及对系统均载和动载的影响甚少有文献报道，造成了系统传动构件在设计选用时的盲点。通过搭建各内齿圈结构有限元模型，对比分析了各内齿圈的结构特点与柔性差异，结合行星传动系统动力学模型，获得了考虑系统误差时不同内齿圈结构下系统均载系数和动载系数的差异。分析表明传统内齿圈的柔性最差，系统的均载系数和动载系数较采用柔性内齿圈结构明显偏大。薄壁柔性内齿圈结构的均载效果最好且波动平滑，但系统的各支路的动载系数波动增大。弹性销内齿圈结构综合时变啮合刚度波动剧烈，处于销钉位置时刚度明显增大，系统的均载系数降低且杂乱无章，动载系数增大。

Analysis and comparison of the flexible and load sharing and dynamic load factor of the type of ring gear

With the development of industry, higher requirements for the load sharing and dynamic load factor of planetary transmission system have been put forward. On the basis of traditional ring gear structure, thin-walled ring gear, new material ring gear and elastic support ring gear have been designed and applied. However, the structural characteristics and flexibility differences of each ring and their influence on the system load sharing and dynamic load factor have been rarely reported in the literature, resulting in the blind spot in the design and selection of the system components. In this paper, by establishing the finite element models of each ring structure, the structural characteristics and flexibility differences of each ring were compared and analyzed. Combined with the dynamic model of planetary transmission system, the differences of the system''s load sharing and dynamic load factor under different structures were obtained when the system errors were considered. The analysis shows that the flexibility of the traditional ring gear is the worst, and the system''s load sharing and dynamic load factor are obviously larger than those of the flexible ring gear. The thin-walled flexible ring gear has the best load-sharing effect and the fluctuation is smooth, but the dynamic load factor fluctuation of each branch of the system increases. Due to the structural characteristics of the elastic-pin ring gear, the comprehensive time-varying meshing stiffness fluctuates violently, and the stiffness increases obviously when it is at the pin position. Although the load sharing of the system is reduced, it is chaotic and the dynamic load factor of the system is obviously enhanced.