On the Bending Stress of a Spur Gear : 1 st Report, Stress at the Fillet Curve and Inner Stress at the Root of Gear Tooth
On the Bending Stress of a Spur Gear : 1 st Report, Stress at the Fillet Curve and Inner Stress at the Root of Gear Tooth
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关于直齿轮的弯曲应力：第一次报告，圆角曲线处的应力和齿轮齿根处的内应力
DOI：
10.1299/jsme1958.5.161
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发表时间：
1961
期刊：
影响因子：
--
通讯作者：
Y. Terauchi
中科院分区：
文献类型：
--
作者：
Toshio Aida;Y. Terauchi
本文从理论上计算了直齿圆柱齿轮轮齿的弯曲应力，从而确定了直齿圆柱齿轮的弯曲强度。本文应用二维弹性理论和传递函数，导出了轮齿圆角曲线处应力的计算公式。通过对各种载荷条件下用这些公式计算的应力的考察，得出了在计算轮齿弯曲应力时考虑剪切力是合理的结论。然后他们引入了计算内应力的公式，并得出了如下结果：内应力显示出比圆角曲线处的应力小的值，因此通过计算圆角曲线处的最大应力来确定轮齿的弯曲强度是合理的。
The present study was carried out for the purpose of calculating the bending stress of a gear tooth theoretically and finding the bending strength of a spur gear. Using the two-dimensional elastic theory and the transform function, the authors introduced equations for the calculation of the stress at the fillet curve of a gear tooth. Investigating the stress calculated by these equations in various loading conditions, the authors reached the conclusion that it was reasonable to take the shearing force into consideration for the calculation of the bending stress of a gear tooth. Then they introduced equations for the calculation of the inner stress, and obtained the following result : the inner stress shows a smaller value than the stress at the fillet curve, so it is reasonable to determine the bending strength of a gear tooth by calculating the maximum stress at the fillet curve.