How to calculate natural frequency of timing belt

[friscoboya]

Hello

I am designing a shaft and it will be powered via belt pulley system. The ideal RPM of the shaft is 8000 RPM. How do I calculate the natural frequency of the timing belt to ensure resonance is never met? From what I read online it has to do with belt pretension, but even then I am little lost. Equations and links would be helpful.

Thank you

 

[CWatters]

Not really my field but if I had to approach this problem I would look at this...

https://en.m.wikipedia.org/wiki/String_vibration

Treat each unsupported length of belt as a potentially vibrating string. Remember the tension in each side is different when its running. Calculate likely resonant frequencies for both sides.

Then think about possible drivers at or near those frequencies? For example the rate at which teeth engage or disengage with the ends of an unsupported length? Perhaps the pulley speeds (in revolutions per second) or perhaps the whole belt speed (in revolutions per second)?

But perhaps there is a more formal method?

 

[Tom.G]

32 000 000 hits from a search using: https://www.google.com/search?&q=max+speed+timing+belt

A quick look shows you might find these useful starting points in your search.
http://www.roymech.co.uk/Useful_Tables/Drive/Timing_belts.html
https://www.optibelt-usa.com/fileadmin/files/Catalogs_and_Manuals/TECH_MANUAL_TIMING_BELTS.pdf

Some sites indicate maximum belt speeds around 25 to 50 m/s, and pully rotational speed limits based on pulley construction.

 

[JBA]

You can get a basic formula that is given for V-belts based on pulley diameter, drive rpm and belt length in item no. 5 of the below website
https://www.mromagazine.com/features/troubleshooter-s-guide-to-vibration-3/