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近似方法的依据是当蜗杆特性系数 q 值较大,蜗杆线数 Z_x 较小时,阿基米德蜗轮将近似于一个斜齿轮。因此,阿基米德蜗轮的公法线可按斜齿轮的方法作首次近似计算。这时必须注意:①斜齿轮名义模数和名义压力角与蜗轮在定义上不相同,前者为法向而后者为轴向;②斜齿轮节圆柱母线是直线而蜗轮节圆柱母线为圆弧(见图)。因此蜗轮公法线 L 总是相近似的斜齿轮的公法线 L′大一个△值。即 L-L′=△。A为修正值。另一方面,由于以上原因蜗轮公法线的卡测齿数和近似斜齿轮的卡测齿数也略有差别。下面我们分别求出近似公式。1.卡测齿数的近似公式斜齿轮公法线测量的卡测齿数计算公式:
The approximate method is based on the fact that the Archimedes worm wheel will approximate a bevel gear when the value q of the worm characteristic factor is large and the number of worm threads Z_x is small. Therefore, the normal line of the Archimedes worm gear can be calculated according to the helical gear method for the first time. At this time must pay attention to: ① helical gear nominal modulus and nominal pressure angle and the definition of the worm is not the same, the former for the normal and the latter for the axial; ② helical gear cylinder line is a straight line and worm cylinder section cylindrical bus arc See figure). Therefore, the common normal line L of the worm gear common normal L is almost larger by one than the common normal L ’of the helical gear. That is, L-L ’= △. A is the correction value. On the other hand, due to the above reasons, the number of teeth measured by the common normal worm gear is slightly different from that measured by the helical gear. Below we find the approximate formula. 1. Card measured tooth approximate formula Helical gear normal measured card test tooth count formula: