Saturday, December 20, 2008

Engine Considerations

I'm sure that reading MaxECU you got the impression that something is not clear or is simply difficult to understand it.
I try now to share my mechanic considerations: let's talk about the engine and the power transmission and tourque. I do not like to repeat what is already available in Wikipedia at: http://en.wikipedia.org/wiki/Horsepower (or in italian language: http://it.wikipedia.org/wiki/Coppia_motrice), in particolar is important to mention the following relationship between Tourque, RPM and Power:




In simple words our byke works like this: the generated power is constant and depends only on the used engine, while the Tourque available at the rear weel is depending on the used gear, on the final transmission ration and on the weel circonference (so depending on how much we have inflate the tyre, the temperaure, ec..).
Yamaha declares for the R6 2003 model:

Gear Ratio - 1st Gear 37/13 (2.846)
Gear Ratio - 2nd Gear 37/19 (1.947)
Gear Ratio - 3rd Gear 28/18 (1.556)
Gear Ratio - 4th Gear 32/24 (1.333)
Gear Ratio - 5th Gear 25/21 (1.190)
Gear Ratio - 6th Gear 26/24 (1.083)

Primary Reduction Ratio 86/44 (1.955)
Secondary Reduction Ratio 48/16 (3.000)


The final transmission ratio is (just multiply the above numbers):
Gear Ratio
1 -> 0.54
2 -> 0.79
3 -> 0.99
4 -> 1.15
5 -> 1.29
6 -> 1.42

Therfore the final model for Engine RPM = 6000 (g/min) is:

Now, assuming the Rear Weel circonference as 2.83m, I calculate:


Here another calculation sheet for Engine RPM = 12000 (g/min):

The above Engine Hz and RearWeel Hz values has been used for the software debug and simulation.

At the end, with such model I was able to simulate the accelleration speed on the Mugello Circuit Streight, here the result:

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