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I would like to find the common volume between cylinders for different radii and at different angles (3-D). Can I do this using ANSYS design modeller? Or what can I use (preferably a free download for a student please) and how long would it take to compute one solution?

I essentially would like to create a lookup table for the common volume between different cylinders that look like this for example. cylinders Thank you for your help!

657933
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  • This sounds like something you could do with Excel? If you really want to work in 3D space, any software that can do boolean operations will work - Fusion 360 springs to mind re: free for students. – Jonathan R Swift Jul 10 '19 at 10:33
  • Sorry I am quite new to all of this, how would you do it on Excel? – 657933 Jul 10 '19 at 13:03
  • The volume of a standard Tricylinder is $V=8(2-\sqrt{2})r^3$ - you can calculate the formulae for other situations using relatively basic maths. Can you provide some diagrams/images showing what sort of shapes you're actually looking at? – Jonathan R Swift Jul 10 '19 at 19:16
  • N.B. If you go the Excel route, this would be better suited at the Math Stack Exchange - if you stay here, you're at risk of being too vague - software recommendation isn't really our 'thing', I'm afraid – Jonathan R Swift Jul 10 '19 at 19:17
  • Thank you, I have added a picture now above. Ah I have looked at formula but for the different radii and different angles, it gets quite complicated so I think I will need a design software so I can find the volume for particular cases as I cannot find a general solution. Would this best be done using fusion? Thank you! – 657933 Jul 10 '19 at 19:21
  • See this paper for the case where the two cylinders are infinitely long. https://pdfs.semanticscholar.org/e8a1/00e42c4a79f959bc1000be619c00dd5f939a.pdf – Biswajit Banerjee Jul 11 '19 at 04:37
  • Hi I can do the case for two cylinders, but when it comes to 6 for different radii and angles it gets a lot more complicated and I cannot solve it myself! Unless you know papers for more cylinders? Thank you – 657933 Jul 12 '19 at 14:59

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