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hyperboloid parabolic


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Quite honestly that looks like a simple revolve for what is shown.  It looks like a simple roller bushing, especially with that hardness and grooves.  LMAO

I'd make one the easy way then challenge them to check it and prove it wasn't good.

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The use of the word is deceptive I agree, but what someone has done has used the shape of one and then used the shape of the other as the revolution defintion. Not correct way to define it. I would agree with others here make one and have them check it and tell you how it is wrong. If they have a sample or mastergauge to check to that would be even better. If not then make a sample and have them verify it. 

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On ‎7‎/‎26‎/‎2018 at 8:32 PM, Colin Gilchrist said:

Honestly dude, looking at that data, I can't see how anyone would be able to "tell" what that shape was supposed to be? How are they going to measure that "Hyperbolic Parabola"?

I think that is just a load of crap, from someone who didn't understand how to properly describe the shape they want you to create.

I would draw out the intersection points (They give you the lowest diameter as 85.5mm), and construct a 3 point arc that connects the endpoints of the 33.5mm line, and bottom point.

How are they going to inspect it? Do they have a template? Or would they just be taking a series of XZ Points, along the Contour?

The method I used to make that would depend entirely on how they plan to inspect this mythical Hyperbolic Parabola.

Hahaha!

As I was reading down this thread, THIS was the exact conclusion I came to as well!

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JoshC  : since v3.1 , or roughly 1991 . 

Ellipsed , would not be the right equation .

The nice thing about a hyperboloid parabolic is that it is in essence a ruled  surface, so you can find  cross sections in it which form a line .  The 35 degs would be  I assume the angle (measured from the axis of the bushing) which used to make a cross section would give you a linear cross section of that surface.  Having said that I don't know at the moment how that would help one to draw  the curved surface....

Gracjan

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Ok , so the solution was so childlishly simple , once I read my own answer.  :)))))))) 

The big clue is the a) 35 degs and the fact that  that  this surface is b) a ruled surface . 

Cooking instructions

1. draw a circle of diameter D63 mm. in the xy plane 

2. xform it 33.5 mm along the Z - axis .

3 ROTATE THE XFORMED CIRCLE AROUND THE CENTER THE  35 degs  as the drawing specified.  Just to make it idiotproof to oneself connect the two circles' endpoints with a line . 

 This is our cross-section which forms a line.

4 . Create a ruled surface using the two arcs. Et voila! We have a  hyperbolic paraboloid 893910928_THEGIZMO.thumb.png.46493a54a82696e6341840a471d58518.png

 

Now , one has to make of course a cross section and verify the 58.5 measurement  in the waist line , but so far even I am impressed by myself for the simplicity of the

instructions that were encoded into the drawing . :)

 

Gracjan

 

 

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Just as I suspected , a rotation of the upper arc of 35 degs does not give us an angle of 35 from the side , it gives us 28.3 , so the rotation angle of the upper arc should be.....

48.13 degs.  Now this gives us a waist line of 57.52 mm , so  I'm guessing the input data is somehow incorrect.  

GIZMO2.thumb.png.dcc8488f01eda6211023d3a0acc3a236.png

 

 

 

 

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The fact that the angle 35 vs the 32.91 that  I observed  seemed  out of  touch  I went back and rotated the line linking the two creator arcs  so that the line would be perpendicular to the projection where I am measuring the angle .... and I got a new result of 34.9 degs, so  the 2d drawing was perfectly right on the money, just as I suspected .  

Gracjan

 

gizmo3.thumb.png.9f1624b829d86bd4b606770127faafc0.png

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