Did someone already do the math about belt-forces?

Did someone already do the math about belt-forces? Like for a generic 6mm wide 2GT-Belt with a 500g carriage and 5000mm/s² acceleration at max 300mm/s speed, using 20 teeth pulleys on a 40Ncm NEMA17?

They’re relatively basic physics equations, but I haven’t done them for your kind of numbers.

Well, with 500g carriage and 5m/s^2 acceleration, 2.5 Newton force is needed to accelerate the carriage. Or was that what you meant?

It was meant to set in relation with belt-stretching. I think, that most of my ringing artefacts are caused by a stretching belt…

According to the attached photo, the working tension(or force) for the 6 mm wide belt is about 26 Newtons and the breaking point is 516 Newtons. It’s hard to believe that 2.5 Newtons would stretch the belt significantly, but I’ve been also thinking that belts could be the reason. I’ll try to find the whole datasheet for GT2 belt.

Actually, if the working tension is 26 Newtons and the acceleration force is 2.5 Newtons, it makes always ±10% change in the tensioning when the direction of the print head changes. I think that is pretty much!

According to PDF-file linked down, I made some calculations about the elongation of the belt. It shows that with 5 m/s^2 acceleration, 0.5 kg mass, 6 mm wide and 500 mm long belt you get elongation of 0.06 mm. I’d say that could easily be seen from the side of the print.

I can’t say for sure that my calculations are correct, and I made them by assuming that fiberglass reinforcement stretches linearly.

http://sciencefactoryhawaii.com/wp-content/uploads/2016/03/The_World_of_Timing_Belts.pdf
missing/deleted image from Google+

I searched for 20min on http://gates.com for a datasheet of the “GT3 2MGT” without success. Now, I wrote their german department an email with the request for a datasheet. Let’s see if I get an answer.

Interesting PDF that you linked.