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As you are saying,rotational balance is a factor along with dampening.I balance piston and rod assemblies to .05g on other engines,the effect of balancing on overall performance is astounding,not only does it lessen vibration they shift easier and there is less overall wear on the entire drivetrain.My question is on your offset weight effect..not arguing that offset weight can be assigned a value,my question is does the flywheel dampen the effect of the added weight.In your example about the rods,your calculations come to 52 pounds..does the dampening effect of the flywheel 'absorb' some of the offset?is their a factor of flywheel weight in determining overall effect on balance?
I am not qualified to answer your questions in any scholastically educated way, only from the stance of actually doing it, of knowing how to go about getting it done to an acceptable functional level.
It would stand to reason that there would be a greater change to the center of a rotational mass if 52 lbs were added to a 10 lb flywheel vs. a 65 lb flywheel.
You are calling the extra weight on the flywheel an offset of weight,,,
it appears to be a confusing way to think about.
Because there is rotational vibration,,, then there is already an offset of weight so to speak to the central line of rotation. The bearings force the rotating mass into one plane or rotation and hold it there while the mass itself wants to rotate on another center line. It is the rotating piece trying to straighten itself in to a balanced center of rotation that is felt.
All of the weight out of line with the forced center of rotation then becomes like a rock spun around by a rope, the faster you spin it the further it will fly when you let go as the g forces increase.
When weight is added to the rotating mass to counter act the force of the rock pulling on the center line, it is now being held to the center line by the opposing weight,,called the counterweight. Theoretically it is now held into a balanced orbit and will go nowhere but around the center of rotation.
The idea of adding weight to the flywheel to alter the center line of rotation works to put the rotating mass back on the correct center line, even if the out of balance is a rod, or even a missing rod. The added weight is not then an offset of weight out there slinging around, it is pulling the entire mass closer to the proper center line of rotation.
Other forces are created, but it has to do with torque or leverage along the center line, but not actual out of balance in the plane of rotation.
If you were in the space station with a perfectly balanced model a flywheel
and crankshaft, and you spun it, it would spin perfectly on the axis of the bearings. If any weight is added it will find a new center line of rotating mass.
The confusion comes in because the counterweight does not have to be directly opposite the area of increased mass to center the rotation.
Many engines have been built with out of balance harmonic balancers,
or out of balance weighted flywheels to counter balance some other out of balance at another point along the rotating mass, the extra tension helps to curb other harmonic vibrations or something like that,,, heck I don't know, I just do it, I never think about it.
That can pose a real problem, or at least a perceived problem when balancing 2 or 3 piece drive lines, built on the ground with no lathe. Then balanced, and I don't mean on a lathe, I mean on the vehicle,, wheels removed and running it up and doing it by hand.
weight added anywhere along the entire mass will affect the entire mass, even with all the u-joints and carriers involved,,, and as such it can be difficult to ascertain exactly where the out of balance is truly at as to get it at that point directly,,,moment of inertia is some strange stuff and I don't get it at all.
But I do play a pretty mean fiddle on certain days.