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一、前言内齿轮齿形系数是内齿轮强度设计的关键,但现有的计算方法比较粗糙,且对内齿轮危险截面的位置究竟在何处也存在着两种观点,一种是根据材料力学的等强度理论,把抛物线与齿廓的切点作为危险点,另一种是用切线法来确定危险点。本文拟采用后者对内齿轮齿形系数公式进行推导。我们知道目前最常用的齿轮加工方法是切制法中的展成法,它是运用包络原理求共轭曲线的方法来加工齿廓的,内外齿轮的加工都是如此。ISO中外齿轮齿形系数公式便是通过包络原理来推导的,而现有
I. INTRODUCTION The gear tooth profile factor of internal gear is the key to the design of internal gear strength. However, the existing calculation method is rough, and there are two kinds of viewpoints about the location of the dangerous cross-section of the internal gear. One is based on material mechanics The equal strength theory, the parabola and tooth contour cut point as a dangerous point, and the other is the use of tangent method to determine the dangerous point. This paper intends to use the latter to derive the gear form factor of internal gear. We know that the most commonly used gear machining method is the development method in the cutting method, which is to process the tooth profile by using the envelope principle to find the conjugate curve. Both the internal and external gear machining are the same. ISO gear tooth form factor formula is derived by the envelope principle, and the existing