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本文以齿条型刀具为基础,按30°切线法,论述了零齿差传动外齿轮弯曲强度计算中的齿形系数的确定方法.为零齿差传动外齿轮弯曲强度精确计算,提供了必需的条件.本文顺便又对家本尚久等的《直齿轮弯曲强度计算公式中的齿形系数》(日文)一文中求φ30°的近似法,作了确切严密的推导,得到精确公式。并以级数展开的方法求得φ30°;因而使利用30°切线法确定的齿形系数,可以达到所要求的任何精确的程度.
In this paper, based on the rack-type cutter, according to the 30 ° tangent method, the method to determine the tooth profile coefficient in the calculation of the bending strength of the external gear with zero-tooth differential transmission is discussed.The accurate calculation of the bending strength of the external gear with zero-tooth differential transmission provides the necessary The exact approximation of φ30 ° in the article “Tooth Profile Coefficients in the Calculation Formula of Spur Gears’ Bending Strength” (Japanese) is also given in this paper. The exact formula is derived. And by the method of series expansion of φ30 °; so that the use of 30 ° tangent method to determine the profile coefficient, you can achieve any required degree of precision.