1044451796 发表于 2019-7-5 18:16:09

这个用虚位移原理最容易理解,忘记的同学可以复习一下理论力学,虚位移原理在动力分析时很有用

电机转一圈做功,T x 2pi
轴向力做功 F x 螺纹导程

不考虑摩擦,两者相等
实际应用要考虑摩擦,乘一个效率系数。

0804lrp 发表于 2020-3-25 17:57:42

尘世天涯 发表于 2018-6-6 16:50
如果把丝杆做个等效转换,这个问题就比较简单了




图不对,丝杆本质上是螺纹,也就是螺旋线,可以这么理解,是竖直运动与圆周运动共同作用下形成的,即竖直上走了一个节距P,圆周走了2Πr,所以三角形应该是两条直角边分别为节距P与2Πr,至于扭矩可以用功的思想解答,理想条件下,功是相等的,一个节距上,外力做工大小为F·P,扭矩做的功是W·2Π,这两个是相等的,即F·P=W·2Π,所以W=F·P/2Π,实际情况扭矩是有电机产生的,因此有效率上面的公式修正为F·P=W·2Π·η,所以有W=F·P/2Π·η,也就是上面的截图没有问题。

重诚WBL 发表于 2020-3-25 19:58:10

尘世天涯 发表于 2018-6-7 12:51
换个方式来解读一下,以做功的方式

这里为了便于理解,先忽略丝杆的机械效率


这个理解了,感谢

李邈 发表于 2020-5-20 17:27:31

本帖最后由 李邈 于 2020-5-20 17:28 编辑

推导过程见图

黄飞鸿弟弟 发表于 2020-12-13 10:09:27

梦回旧时光 发表于 2018-6-6 16:24
输入的扭矩做功= 扭矩 * 2pi

输出的推力做功 = 推力 * 螺距

这个好看的懂

我爱你阿飞FEI 发表于 2021-9-23 14:21:48

尘世天涯 发表于 2018-6-6 16:50
如果把丝杆做个等效转换,这个问题就比较简单了




丝杠做功确实可以等效成斜坡做功,但是上坡的高度才是有效做功的距离啊,斜面表示的是丝杆旋转一整圈和滑块接触的长度,当然不是圆的周长2πr,应该是螺旋线的长度啊。正解见24楼

我爱你阿飞FEI 发表于 2021-9-23 14:23:45

尘世天涯 发表于 2018-6-7 09:56
这么理解就清楚了:

斜边相当于螺母上某一点实际划过的距离,把这个距离拉直,就变成了斜边


长直角边是2πr,短直角边是导程ph,斜边是螺旋线的长度

我爱你阿飞FEI 发表于 2021-9-23 15:39:56

李邈 发表于 2020-5-20 17:27
推导过程见图

补充一个高清图
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

fuyu389 发表于 2021-9-23 17:41:32

梦回旧时光 发表于 2018-6-6 16:24
输入的扭矩做功= 扭矩 * 2pi

输出的推力做功 = 推力 * 螺距

牛,物理学的好,这样从本质上分析简便多了

雪舞枫 发表于 2021-9-23 17:53:42

其实从功上分析是最简单的,再不考虑摩擦等效率情况下,转动做功与直动相同F x s=T x θ你转化以下θ跟S之间的关系,等式就出来了。
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查看完整版本: 计算丝杆推力扭矩时公式是怎么推导出来的