## 字幕列表 影片播放

• Theoretically, what could be done to a rod and ball joint to increase the swivel angle?

理論上，怎樣才能增加杆和球接頭的旋轉角度？

• Is it worth talking about the swivel angle?

旋轉角度是否值得一談？

• Did that make sense, or should we go over what the swivel angle means?

這樣說有道理嗎，還是我們應該再複習一下旋轉角度的含義？

• Could you show us what the swivel angle means?

您能告訴我們旋轉角度是什麼意思嗎？

• Yeah, okay.

好吧

• So here's a rod-end ball joint, or sometimes it's called a heim joint.

這是一個杆端球形接頭，有時也被稱為鉸接接頭。

• It just spins around like that.

它就這樣轉來轉去。

• And typically, you'll have a rod that goes through it like that.

通常情況下，你會有一根杆穿過它。

• And this rod will be usually fixed in place so that the ball joint can't slide back and forth like that.

這根杆通常會被固定在原位，這樣球形接頭就不會來回滑動了。

• It'll just be fixed relative to the axial length of your rod.

它只是相對於釣竿的軸向長度固定不變。

• But this rod can swivel like this.

但這根釣竿可以這樣旋轉。

• And if we look at it, this is the lowest position that your rod can be.

如果我們看一下，這是你的釣竿所能達到的最低位置。

• And then this is the highest position it can be.

然後，這就是它所能達到的最高境界。

• And so the difference there, so if we use some tools here to approximate that angle, you're going to have a line there.

是以，如果我們使用一些工具來近似這個角度，就會出現一條線。

• And then if we come down like this, we're going to have another line right here.

如果我們像這樣下來，這裡就會有另一條線。

• So this angle right here, that angle, that is the maximum swivel angle that this ball joint will accommodate.

是以，這個角度就是這個球形接頭可以容納的最大旋轉角度。

• So if this is 90 degrees, how much would we approximate that this swivel angle is?

那麼，如果是 90 度，這個旋轉角度大概是多少？

• Yeah, so that's maybe 65 degrees or something like that.

是的，大概是 65 度左右。

• And actually, 65 degrees is usually kind of an upper limit for these rod-end ball joints.

實際上，65 度通常是這些杆端球形接頭的上限。

• Most of them are actually down more like 25 or 30 degrees, but then they have these super swivel ball joints that go even further.

實際上，它們中的大多數都下降了 25 或 30 度左右，但這些超級旋轉球形接頭可以進一步下降。

• I believe this is one of those super swivel varieties.

我想這應該是超級轉環的一種。

• Okay, so now that we've talked about what that swivel angle is, let's say theoretically we could get 65 degrees right here, but our application needs 70 degrees, just a little bit more than what we can actually accommodate.

好了，既然我們已經討論了旋轉角度的問題，那麼理論上我們可以在這裡獲得 65 度的旋轉角度，但我們的應用需要 70 度，這比我們實際能容納的角度多了一點。

• How might we modify something, either the rod or the ball joint?

我們該如何改裝連桿或球節？

• How might we modify it so that we can get another 5 degrees?

我們該如何修改它，才能再提高 5 度？

• I do have a question.

我有一個問題。

• Could you access the lesson?

您可以訪問該課程嗎？

• Oh yeah.

哦，是的。

• So the question was, if we scroll all the way up, what's important to remember, point number one, and go to 1A.

是以，問題是，如果我們一路向上滾動，第一點中最重要的是什麼，然後轉到 1A。

• Okay.

好的

• It says, allows for 3 degrees of rotational freedom.

它說，允許 3 個旋轉自由度。

• So you said 3 degrees here, but it shows that we have approximately 65 there.

所以你說這裡是 3 度，但它顯示我們那裡大約有 65 度。

• Oh, I see.

哦，我明白了。

• I see the confusion. 3 degrees, a degree of freedom, in this context, doesn't mean a degree of angle.

我明白你的困惑了。3 度，一個自由度，在這裡並不意味著一個角度。

• A degree of freedom would mean motion.

自由度意味著運動。

• For example, let's draw something.

例如，我們來畫一些東西。

• Actually, let's take a look at this rail and carriage.

其實，讓我們來看看這條鐵路和這節車廂。

• This rail and carriage allows for one degree of freedom, just back and forth.

這種軌道和車廂只有一個自由度，即來回移動。

• It doesn't have anything to do with an angle measurement, but when we say one degree of freedom, it means it can move back and forth.

它與角度測量無關，但當我們說一個自由度時，這意味著它可以前後移動。

• It could be rotational also.

也可能是旋轉。

• There are really just two types of degrees of freedom.

自由度實際上只有兩種。

• There's linear motion, so this, and then there's rotational motion, so like a shaft that was spinning like that.

有直線運動，比如這個，還有旋轉運動，比如像這樣旋轉的軸。

• Those are the types of degrees of freedom.

這些就是自由度的類型。

• You can have up to 6 degrees of freedom.

您最多可以有 6 個自由度。

• For example, in a CNC machine, some people talk about 5-axis CNC machines, and that the 5-axis, the 5 degrees of freedom, would be 3 in the linear direction, so you'd have 1 here, and you'd have 2 there, like that way, and then you'd have 3 up and down like this, so those are 3, but we're talking about a 5-axis CNC machine.

例如，在數控機床中，有些人說的是五軸數控機床，五軸，即 5 個自由度，在線性方向上是 3 個，所以這裡有 1 個，那裡有 2 個，像這樣，然後像這樣上下有 3 個，所以這些是 3 個，但我們說的是五軸數控機床。

• The other 2 degrees of freedom would be rotational, so you might have rotation like that, and then you might also have rotation in that direction.

另外 2 個自由度是旋轉自由度，所以你可能會有這樣的旋轉，然後你也可能會沿著這個方向旋轉。

• When we say 3 degrees of freedom, what we're saying is it can move in 3 different methods of motion.

當我們說 3 個自由度時，我們的意思是它可以以 3 種不同的方式運動。

• Let's find the 3 degrees of freedom.

讓我們找出 3 個自由度。

• Back and forth, 1, rotation, 2, where's the 3rd?

來來回回，1，旋轉，2，第 3 次呢？

• Typically, you're not moving back and forth like this.

通常情況下，你不會像這樣來回移動。

• If you're using a ball-end rod joint or a rod-end ball joint, you're usually going to lock the rod into the ball joint, so this degree of freedom usually is not happening.

如果使用的是球頭連桿接頭或杆頭球頭接頭，通常會將連桿鎖入球頭接頭，是以通常不會有這種自由度。

• Again, talking about degrees of freedom, x, y, and z are typically used to describe the 3 different directions of motion, so if we were to draw that out in 3D, it might look something like this, where this is up and down, this is out in that direction, and then this is this direction, so this might be the x-direction of freedom, the y-direction of freedom, and the z-direction of freedom.

同樣，談到自由度，X、Y 和 Z 通常用來描述三個不同的運動方向，是以，如果我們將其繪製成三維圖，它可能看起來像這樣，這裡是上下方向，這裡是那個方向，然後這裡是這個方向，是以這裡可能是 X 自由度方向、Y 自由度方向和 Z 自由度方向。

• About each of those directions, you can also have rotational.

關於每個方向，還可以有旋轉。

• So this would have 6 degrees of freedom, right?

是以，這將有 6 個自由度，對嗎？

• That's right. 6 degrees of freedom is really the most degrees of freedom that anything can have.

沒錯。6 個自由度是任何事物所能擁有的最大自由度。

• For this one right here, we're not going to count this one.

對於這個人，我們就不算了。

• Technically, that's possible, but usually you're not going to have that in a rod-end ball joint, but you'd have this right here.

從技術上講，這是可能的，但通常情況下，杆端球形接頭不會出現這種情況，但這裡會出現這種情況。

• Which is what?

哪個是什麼？

• This is a rotational degree, so if we were looking...

這是一個輪換學位，所以如果我們正在尋找...

• Let's see, what's the best way to look at that?

讓我想想，最好的辦法是什麼？

• If we align it like this, so this axis, this rod right here, let's say that that's our x-axis, and we're able to rotate in this direction, so which axis of rotation would that correspond to in our little sketch here?

如果我們像這樣對齊，那麼這個軸，這裡的這根杆，假設它是我們的 X 軸，我們可以朝這個方向旋轉，那麼在我們的小草圖中，它對應的是哪個旋轉軸呢？

• Y?

Y?

• No.

• What, z?

什麼，z？

• Z.

Z.

• Yep, it would be z, exactly.

沒錯，正是 Z。

然後，這個怎麼樣？

• Then that has to be y, I suppose.

我想，那就一定是 y 了。

• Yep, that's y.

沒錯，就是你。

• And then the third one, which realistically, maybe I shouldn't even say a third degree, because it's probably not common either, but it could be, you could use it.

然後是第三種，現實中，也許我都不應該說第三種，因為它可能也不常見，但它可能是，你可以用它。

• It would be...

這將是...

• It's kind of hard to see it rotating.

很難看到它旋轉。

• Let's see, I think there's a feature.

讓我想想，我覺得有一個功能。

• There we go, you can see that feature moving now.

好了，你可以看到這個功能正在移動。

• That would be the third degree of rotation, which is which one?

那就是三度旋轉，哪個是三度旋轉？

• X.

X.

• Yep, x.

是的，X。

• So those would be the three degrees of rotation, and really it's z here, and y there.

是以，這就是三度旋轉，實際上就是這裡旋轉 z，那裡旋轉 y。

• Those are the main two degrees of freedom.

這就是主要的兩個自由度。

• Okay, so back to the original question, which was, theoretically, what could be done to a rod and ball joint to increase the swivel angle?

好了，回到最初的問題，即從理論上講，怎樣才能增加杆和球接頭的旋轉角度？

• Yes.

是的。

• And what I thought, we could wear it out, I suppose.

我想，我們可以把它穿出來。

• So I just chip away, right here, just start chipping away, and chipping away at the top, so I can reach higher or lower.

所以，我就從這裡開始削，從頂部開始削，這樣我就能削得更高或更低。

• Right, yeah.

對，是的

• So show...

所以顯示...

• Let's look at exactly where the limit to that rotational travel occurs.

讓我們來看看旋轉行程的極限到底在哪裡。

• Yeah, right there, right?

對，就在那兒，對嗎？

• Right here, the rod strikes the casing for the ball joint, and that's what limits its travel.

就在這裡，連桿撞擊到球形接頭的外殼，從而限制了其行程。

• So just like you said, yeah, use the term wear away.

所以，就像你說的，是的，用 "磨損 "這個詞。

• I would probably use something more intentional, like cut the rod, cut a feature around the diameter of the rod to make that part of the rod smaller in diameter and increase that travel.

我可能會使用一些更有意識的方法，比如切割杆，在杆的直徑周圍切割一個特徵，使這部分杆的直徑變小，從而增加行程。

• That's probably the easiest thing to do.

這可能是最容易做到的。

• Technically, you could also machine away some of the material on the casing so it doesn't strike the casing there, but that's going to be a more difficult operation to perform.

從技術上講，你也可以用機器磨掉套管上的一些材料，這樣它就不會撞擊到套管上，但這將是一個更難完成的操作。

• Is that recommended?

建議這樣做嗎？

• No.

• Not recommended to machine away some of the casing.

不建議加工掉部分外殼。

• I think it would be permissible in certain applications to turn down the diameter of your rod.

我認為，在某些應用中，可以將杆的直徑調小。

• You could get away with that, but I would not cut the casing of the ball joint.

你可以這樣做，但我不會切割球形接頭的外殼。

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無論您是有意開始機械設計師新職業的個人，還是有意培訓工程新員工的公司，我們的特色課程都能幫助學生掌握成為高效機械設計工程師所需的實用技能。

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座位有限。

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Theoretically, what could be done to a rod and ball joint to increase the swivel angle?

# 機械設計：杆端球形接頭討論 (Mechanical Design: Rod End Ball Joints Discussion)

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Amy Lin 發佈於 2024 年 07 月 31 日