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本文首先推导出内啮合圆柱直齿轮的齿形计算法,其次用二维弹性理论和近似内齿轮齿形的映像函数(映像图形)进行齿根应力分析,表明其计算结果与由有限元法得到的结果及测定结果是一致的,最后用这种分析法对不同齿数,不同变位系数的内齿轮进行齿根应力分析,阐明变位,负荷位置等对齿根应力的影响以及最大齿根应力产生位置。
In this paper, the tooth shape calculation method of the internal gear spur gear is deduced. Secondly, the root stress analysis of the tooth root is carried out by using the two-dimensional elastic theory and the image function of the approximate gear tooth profile (image pattern), which shows that the calculation results are in agreement with the finite element method The results and the determination results are consistent. Finally, this analysis method is used to analyze the tooth root stress of the internal gear with different number of teeth and different displacement coefficients to clarify the effect of displacement and load position on the tooth root stress and the maximum root stress Create a location.