Changing gearing -- front vs rear
Kabara, Richard M.
richard.kabara at pw.utc.com
Mon Jun 23 14:54:27 PDT 2008
Architeuthis dux, whooooh, we are on two different wavelengths here, I was
talking about wear...looks like you are using the sprocket/pin counts to
find the source of the vibration??? That's a far-out theory...
Two different (but related) issues:
1) Wear: the "numerology" wear effect is real in *gears*, but as I stated,
it is unlikely the "numerology" is affecting Jim's chain and sprocket wear
issue, even if he had a 90 link chain, which obviously he doesn't.
The chain 'hop' I described COULD be the source of the vibration at 41 mph,
since the vibration happens in any gear at that 41 mph. We can do the math
to get the hop frequency (14X the c/s sprocket rotation speed) then put a
bunch of accelerometers and an oscilloscope on Jim's bike to test it out...
I don't have the actual rear tire diameter here, so let's estimate 25"
41 mile/hour X 63360 in/mile X 1/3600 hour/second X 1/(PI(25)) rev/in
= 9.2 rev/s
So the rear wheel rotates 9.2 rev/s at 41 mph (wow, that sounds high? Is my
The c/s sprocket rotates 44/14 X 9.2 rev/s = 28.9 rev/s = 28.9 Hz for a
1E (once per rev) excitation
Since the chain hop happens 14 times per c/s sprocket rotation (14E), the
frequency would be ~400 Hz. Well, that sounds way too high for Jim's
estimate of 20 Hz, so it's probably not his vibration excitation :-(
As with many vib issues, there are many potential excitation sources, when
an excitation frequency matches up with a resonant mode of a component like
the engine cases, frame, metal panel, etc it will result in a vibration that
Jim can hear and feel at 41 mph.
When he switched back to a 15 tooth, the vibration disappeared. The rear
wheel is still going 41 mph, but the counter/shaft is turning slightly
Architeuthis dux wrote:
Chain/sprocket numerology is a hotly debated topic on one of my other
lists.. I'm a skeptic, but lets run some numbers...
F:14 = 2 * 7
R:44 = 2 * 2 * 11
C:108 = 2 * 2 * 3 * 3 * 3
Same F/C every 7 * 2 * 3 * 3 * 3 = 378
among these is theoretically the 15:44 with a 108-link chain, although I
think other factors like maintenance and cleanliness would almost always
outweigh this numerology silliness unless you were to pick some sort of
really pathologically terrible combination.)
Jim, what was the approximate frequency of your resonance? And what
gear were you in?
More information about the SV650