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Variable diameter circle 
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#1
Mar514, 01:47 PM

P: 37

I am interested to see if there is a way of creating a metal ring which has a variable diameter, the only way I imagine that this can be done is using segments which come together to form a circle, once pulled away the diameter changes however, the problem I face is that when the segments are pulled out, they leave a gap as shown here:
http://gyazo.com/bd38ce382a16a9f6a1739c42ad30d404 To fill this gap, additional segments would need to be manufactured and would defeat the purpose of having a variable diameter. Is something like this even possible, if not a perfect circle, is there a way of doing this to get a varying geometry which is very similar to a circle? I am interested to see any ideas at all that anyone may have about this even if they are nothing to do with segment please share. 


#3
Mar614, 09:34 AM

P: 37

That was exactly what I was looking for, Thank you.
Just out of interest, can this be reversed? I mean rather than having a circle form on the inside is it possible to form the circle on the outside so that as the segments move it expands outwards? 


#4
Mar614, 11:20 AM

PF Gold
P: 6,358

Variable diameter circle



#5
Mar814, 04:23 AM

Sci Advisor
Thanks
P: 1,923

There are many unusual approximate solutions to such a problem.
Maybe if you could identify the application it would be worth posting other solutions. 


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