True! I have transferred the shape into a CAD program and I had to calculate (approximated) Bézier splines to keep the nodes at a reasonable level. I think I ended up with 12 nodes or so to get a smooth contour that was fairly similar to the shape I was going for. The continuation of this is...
I tried your excel-file and it crashes as soon as I edit length, width, and string length. :-/
My don't crash so I stick with the analytical solution for now. I think I'll just go with brute force for the corners, when I have some spare time.
BVU, I have read all your posts. Stating "I'm not sure I follow you" was me trying to be polite about the fact that your approximation is not so good. :angel: The shape is ellipsoid in appearance but it is not an ellipsoid.
So, as stated before. I have an analytical expression for the sides...
I'm not sure I follow your calculations BVU. Is it what I'm looking for..?
I attached the excel I tried the calculations in. There you can see the segments I still haven't got, the corners. Oh, I should mention that I used Libreoffice for this tinkering.
Edit, these spread sheets are a bit...
For the "sides" I came up with this, which seems to be right when I plot it.
##y(x)=\frac{\sqrt{e}*\sqrt{2x+e}*\sqrt{4a^{2}-4ax+4ea-2ex+e^{2}}}{\sqrt{4a^{2}+8ea+4e^{2}}}##
y is the displacement, for lack of better word, from this rectangle sides.
Edit, e is the extension of the string, i.e...
Thanks BVU! I just need a software able to plot the points/lines. I think I'm going to use this shape for some cnc-stuff so excel won't cut the cheese.
Would you mind elaborate on how you derived at the arctan() solution?
Thanks Factchecker for the input!
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My question is, how to...
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Thanks for all the input! I'll check the numerical approach suggested.
So far I only really tried to attack the issue by contacting the manufacturer of the measuring device I'm tinkering with to see if I can change the sample rate.
Hi
How do I find the frequencies in a signal obtained by samplings with a random sample rate? Normally I use a fft analysis, but then I have a fixed sample rate.
Thanks!