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至今,在轮齿疲劳方面人们已经讨论了关于齿根断裂或齿面损伤,但仅仅是从齿面硬度考虑。然而,我们知道齿面Hertzian应力和危险截面的应力取决于较多齿轮参数和一系列系数,如K,Y和Z。因此,我们产生了这样一种想法,就是分析在确定载荷作用下,上面所提那些参数如何影响齿根应力或齿面疲劳。如上所述,我们采用了V_F与V_H之比,V_F是与齿根弯曲有关的所需的量,V_H是有关Henzian应力所需的量。分析结果如下: V_F/V_H之值取决于齿数Z_1和齿数比范围u=1～5,它随u的增大而逐渐升高,在改进的齿面上此值小于1。这种情况同样适用于表面硬化齿轮,但齿数范围仅在Z_1<21。对于更多的齿数或齿数比,情况就改变了,即V_F>V_H。这意味着在上述限制量是可信的,即计算齿根应力可以获得齿轮的尺寸,换言之,仅是这样的表面硬化齿轮更多地处于断裂危险。
Hitherto, there have been discussions on tooth root fracture or tooth flank wear regarding gear tooth fatigue, but only from tooth surface hardness considerations. However, we know that the stress of Hertzian tooth and the stress of dangerous cross section depend on more gear parameters and a series of coefficients, such as K, Y and Z. So we came up with the idea of analyzing how the above mentioned parameters affect tooth root stress or tooth surface fatigue under certain load. As mentioned above, we use the ratio of V_F to V_H, V_F is the amount required for root deforming, and V_H is the amount required for Henzian stress. The results of the analysis are as follows: The value of V_F / V_H depends on the number of teeth Z_1 and the range of teeth ratio u = 1 to 5, which gradually increases with increasing u, which is less than 1 on the improved flank. The same applies to case hardened gears, but the range of teeth is only Z_1 <21. For more teeth or gear ratio, the situation has changed, that V_F> V_H. This means that at the above limit, the amount of confinement is credible, ie the gear tooth size can be obtained by calculating the root stress, in other words only such a case hardened gear is more at risk of rupture.