The Gates company make the Gates Carbon Belt to replace bike chains with a carbon fiber belt (encased in some polymer). My Priority Bicycle 600x has this belt drive, along with matching sprockets and a Pinion C1.12 "transmission", where all gearing/shifting takes place.
To check proper tension, Gates supplies an app [0] that also has you pluck the belt to measure the frequency. For my bike the appropriate tension is at 60Hz. Tension is adjusted by moving the rear axle backward or forward.
[0] https://play.google.com/store/apps/details?id=com.gates.carb...
EDIT: the advantages are ... no fragile derailleur; no chain lube; long belt lifespan; low maintenance
It sounds like you've done plenty of experiments and don't need any theory to make this work, but have you looked at the physics/mathematics of the vibrations? Does the frequency you detect correspond to https://en.wikipedia.org/wiki/Vibration_of_a_circular_membra..., for example? I'm guessing that the interlocking strings are best modelled as a membrane rather than individual strings (https://en.wikipedia.org/wiki/String_vibration) but the racquet head isn't circular, so it's a bit beyond my level of maths to do that properly.
I suppose that to do the maths we'd need to know the spacing of the strings and the mass per unit length of the strings. (And the dimensions of the racquet head, of course, but that must be easy to look up.)
Also, would this work just as well for tennis and squash racquets?
EDIT: Perhaps https://en.wikipedia.org/wiki/Dimensional_analysis would give you the formula, and the constant you could get by experiment, and then the same formula might be applicable to any similarly shaped racquet.
Ah, the string spacing cancels out, doesn't it? I'd expect the frequency to be proportional to sqrt(t/d)/a, where t is the string tension in Newtons, d is the linear density of the strings in kg/m, and a is the diameter of the racquet head (assuming they're all the same shape and measured in the same way, which probably isn't true, unfortunately).
yeah. Spot on. For the app, I don't take into account the density, but racket head is taken into account. Prominent shapes are oval and isometric, so I have separate co-efficients for those, which were learned using regression. One challenge that I haven't figured out yet is when 2 different types of strings are used. It seems, some advanced players use different strings at different tensions for the horizontal and vertical strings. Like 32x28lbs or other similar configurations.
Very useful. I just tried it with my spare racquet, and it seems about right. I have always wondered if my main racquet has lost tension, so it'll be really useful for that.
For making money, I'd suggest reaching out to professional re-stringers and asking if they want to advertise (once you have some nice analytics to brag about). Maybe even localise them based on geolocation data so you can have more re-stringers without cluttering it up. It's a value-add to your users so everyone should be happy.
You could probably even reach out to some YouTubers (I personally like BadmintonInsight). Since it's free, I would imagine some of them would do a video on it just to help their viewers.
Finding stringers nearby is really cool idea. Yeah, BadmintonInsight is a really good channel. I'll try reaching out.
Proves that there's literally an app to do anything. I'm amazed. Good job!
thank you :)
While I don't play Badminton (and so can't test with a racket on hand) this seems very cool! I also thought about something similar for judging bikewheel spoke tension - I guess I have to research this a bit more now.
As for monetization: I personally don't have problems with static ads served from your domain. Find some celebrity or brand and ask them if they want to have you serve their banner.
if spokes come in standard guages, it should work for bikewheels as well. There may be some differences due to the bike rim material, but in case of badminton, I found out that frame material could be ignored safely.
Great solution to a real problem. Very “hacker” of you - nice job!
haha, thanks :D