情人泪 发表于 2022-4-1 11:12:04

有偿求助:连杆力矩如何计算

有偿求助大师们,小弟愿出500威望值请教这个问题,提供详细解答者我将为你充值500威望。
如图所示:电机连杆A=30mm,连杆B=136mm,连杆C=60mm,连杆C顶端锁在轴承上,
连杆C(蓝色零件)底部安装有夹子,夹着物体进行摆动,摆动角度为60度,物体质量最大为3KG;
连杆A+B+C的质量总和为0.5KG;
请问:
1、电机的力矩如何计算?
2、惯量是多大?
3、这个机构的各连杆尺寸是否合理,效率如何?

sgxap666 发表于 2022-4-1 11:29:21

SW可以算的呀

情人泪 发表于 2022-4-1 12:01:51

sgxap666 发表于 2022-4-1 11:29
SW可以算的呀

我的sw motion 点不开,我也没用过,怕搞不准,你能否代劳帮我算一下,我等会儿给你充值威望!

晓昀 发表于 2022-4-1 12:38:29

机架中心距离是多少?

斯文棒棒 发表于 2022-4-1 13:09:50

Adams可以算一下

情人泪 发表于 2022-4-1 13:31:25

晓昀 发表于 2022-4-1 12:38
机架中心距离是多少?

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
这个尺寸是135

情人泪 发表于 2022-4-1 13:39:34

晓昀 发表于 2022-4-1 12:38
机架中心距离是多少?


电机轴到轴承的距离是135mm

前景钱 发表于 2022-4-1 13:58:02

连杆要解决死点。

雪舞枫 发表于 2022-4-1 13:58:49

楼主你要是想精确计算的话ABC三个杆需要分别提供重量质心,还有负重的质心位置都要提供下

山中渔人 发表于 2022-4-1 14:22:37

本帖最后由 山中渔人 于 2022-4-1 14:26 编辑

已知数据最大夹角大概135度,旋转后有死角,不能用!
已知数据电机连杆改成长15mm,最大夹角大概62度!
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查看完整版本: 有偿求助:连杆力矩如何计算