acotrel said:
comnoz said:
Actually the more I think about this what you are saying makes sense, but I also remember when I was in balancing school we used the Norton engine as an example and the instructor showed how the 53% or thereabouts factor created the lowest average forces.
Now I am going to have to dig out my books and see if I can figure out how that was determined. Jim
'lowest average force' - at what revs ?
Lowest average force at ALL rpm.
The imbalance caused by the reciprocating piston and small-end increases as the square of rpm,but only acts inline with the cylinder axis and is not constant during the cycle.
The imbalance caused by the counterweight also increases as the square of rpm,but acts radially.Only at TDC and BDC is it acting directly against the imbalance caused by reciprocating parts.If it cancels out 50% of the reciprocating imbalance at TDC,it does that at ALL rpm.
At maximum piston speed (about 75 deg before and after TDC),there is no imbalance force from the reciprocating piston and small-end.At those points,the the imbalance of the counterweight is unopposed and shaking everything in the horizontal (or near horizontal) direction.Before TDC the counterweight is pulling the crank rearward.After TDC,the counterweight is pulling the crank toward the front of the bike.
That situation would be about the best you could hope for.The counterweight opposes 1/2 the reciprocating inertia at TDC (there is still serious imbalance).The counterweight,being unopposed at 75 degrees before and after TDC,gives the same amount of serious imbalance at those points (mainly in the horizontal direction,forward and rearward).At BDC the counterweight would balance most of the reciprocating inertia.If the wet balance factor was 70.18%,it would totally balance the reciprocating inertia at BDC with a standard rod length and stroke.I'm suggesting that 64.9% would be a good compromise.That would be about 70% dry.
If vertical imbalance caused the frame to vibrate more noticably than horizontal imbalance does,then you would increase the balance factor for comfort sake.Increasing the balance factor would still cause higher forces in the horizontal direction,but could prevent or lower frame vibration at a certain frequency.If the natural frequency of the frame happened to match your cruising rpm,you would appreciate this change.
That's about as well as I can explain it.