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How to draw a semi-coil pipe with equal arc length on a standard elliptical head?

2019-03-29View Original

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As shown in the picture, if you can draw it, you can also know the length.
Reply #22019-03-29
I quoted the picture from another forum, but the other party didn't publish the drawing method, so does anyone know how to draw it? It’s best to upload the source files!
Reply #32019-03-29
This post was last edited by Fortunately You on 2019-4-1 11:23. It is not an involute. Someone asked about it some time ago. The answer is wrong, it should be Archimedes spiral.
Reply #42019-03-29
How to draw it? I thought it was Archimedes spiral
Reply #52019-03-29
It’s available online, just search it and you’ll find it. However, since this is a three-dimensional bend, you may also need to consider vertical variables. Can they be ignored?
Reply #62019-03-29
I searched a lot of information on Du Niang, and there were advanced mathematical methods that I couldn't understand, so I gave up decisively. There is also a method where the top view is equidistant, but the main view is unequal in arc length. So at present, I don’t know how to get the 3D drawing method of equal arc length. Or it is possible to draw and measure the total length of the first half of the coil on the elliptical head in CAD, but I don’t know how to do it at the moment. Is there anyone who knows how to do it? Please give me some advice.
Reply #72019-03-29
Let’s build a physical model. How about you get some wire and coil it yourself?
Reply #82019-03-30
The moderator's picture should look like a spiral composed of n eccentric semicircles. Find the center and radius of each semicircle and the problem is solved.
Reply #92019-03-30
Haha, actually I just want to build a physical model, but unfortunately I can’t. I want to ask everyone if you know how to do it ;
Reply #102019-03-30
Thank you for your answer. It would be best if you could use SolidWorks to draw it and query the properties, but unfortunately you can't.
Reply #112019-04-01
It's Archimedes' spiral. It's drawn in the plane, and then the height of each point is modified on the vertical plane, and then connected into a three-dimensional line.

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