RMac said:
Very cool explanation. Shame about the pie throwing contest embedded in it though. So, I wonder why I found the R1200GS to have heavier vibration than the S10 both times I test rode it?
Because the theory is taking about mass reciprocation. There are more things going on than just that. When you start a BMW you will get the "lurch to the right" so you have other things like torque effects coming into it. As well as that some bikes are built thin and have different frame resonances and the motor is pulsing side to side as well.
You have recoil action when the cylinder fires, just like a gun. The pressure is pushing the piston down and the head up hopefully along with the motor. The piston usually looses and goes down. The block flexes as well becaue the crank and head are tied together by the block and it has to cope with that force , some flex more than others. Lot's of little things going on that tend to bust the apparently perfect balance of the boxer.
If you rev a Boxer it wants to twist along the length of the bike, Each bang is a "twist pulse" so the bike reacts by twsting left bar up, right bar down or Vice versa depending on the which way the motor is rotating. The resonance will be the same but out of phase.
The twin will want to twist the bikes front up or down. YAMAHA tried to make that twist force centre of the bike. Both ends of the bars will rise in unison and the resonance will be up down but the same (in phase).
Then their are bell mode standing waves that will change according to frequency (revs) and the bars and frame have their own little party going on there.
BMW already have the twist force centre, but it can change cornering attitude slightly if you accelerate hard.
And then there is combustion instability, especially in lean engines, It's hard to make every bang the same, so you get torque reactions induced that way as well.
So, as I used to say to people on the phone, If you like it better, It's better. It was a lot simpler than trying to explain it.
It was a different engineering field but the crap was the same.
Cheers
Graham