直齿轮基圆半径公式是什么?

2025-03-15 21:12:05
推荐回答(1个)
回答1:

基圆直径=分度圆直径×分度圆压力角的余弦。COS即是余弦函数的符号。分度圆直径=齿数×模数。分度圆压力角一般为20度,个别情况下也有采用15度等其他数值的。

注:其中角度采用°而不是弧度。cos20°=0.9397,基圆直径=75×cos20°=70.48mm

基圆指的是在凸轮中以凸轮轮廓最小向径为半径所作的圆。最短向径即为基圆半径。

基圆半径的大小对凸轮机构的影响

增大凸轮基圆半径对机构工作的影响:

有利方面:

(1) 减小凸轮机构的压力角,改善传力性能,避免自锁,提高机构效率。

(2) 减小从动件所受侧向力,有利于提高导轨寿命。

(3) 增大凸轮廓线的曲率半径,有利于避免干涉,同时接触应力也可降低。

不利方面:

(1) 增大机构尺寸和重量。

(2) 凸轮廓线周长增加,增加了凸轮的加工量和加工难度。

(3) 凸轮表面速度增大,加剧了加工误差对凸轮

机构工作特性的影响。

设计凸轮机构时,在保证机构正常工作的条件下,希望凸轮基圆半径尽可能小一些。

凸轮基圆半径的确定

凸轮机构的基圆半径对机构的结构尺寸有着直接影响,而基圆半径  与凸轮机构的压力角

之间存在关联关系,因此基圆半径  也会对机构的受力性能产生间接影响。

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