第十二章 齿轮传动

12.1 概述

12.2 渐开线齿轮

12.3 渐开线标准直齿圆柱齿轮的啮合传动

12.4 渐开线齿轮的切齿原理及变位齿轮的概念

12.5 渐开线直齿圆柱齿轮传动的设计

12.6 其它齿轮传动

12.2 渐开线齿轮

12.2.1 渐开线的形成及基本性质

1. 渐开线的形成

2.渐开线的性质

根据渐开线的形成,可知渐开线具有下列一些特性:

1)发生线沿基圆滚过的直线长度,等于基圆上被滚过的圆弧长度;

2)发生线KN是渐开线在任意点K的法线。因此,发生线上任一点的法线必切于基圆。

3)渐开线齿廓上某点的法线与该点的速度方向线所夹的锐角αk称为该点的压力角。

由上式可知,渐开线上各点的压力角是不相等的。

4)渐开线的形状完全取决于基圆的大小。

如图所示,基圆半径相等,则渐开线相同;基圆半径愈小,则渐开线愈弯曲;基圆半径愈大,则渐开线愈平直;基圆半径为无穷大时,则渐开线就变成直线。

5)基圆内无渐开线。

12.2.2 渐开线标准直齿圆柱齿轮的基本参数和几何尺寸

1.齿轮各部分的名称和主要参数

齿轮各部分的名称

zp=pd

d=(p/p)z

m=p/p

m ——模数,单位为mm

d=mz

cosa=db/d=db/mz

2.基本参数

标准直齿圆柱齿轮的基本参数有五个:z、m、α、ha*、c*,其中ha*称为齿顶高系数,c*称为顶隙系数。这两个系数在我国已标准化了,ha*=1,c*=0.25。

3.几何尺寸计算

几何尺寸计算公式见表。

公法线长度



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