Using analysis option create a point at the cg of the flywheel,then create an alalysis to calculate the distance b/w the center axis and the cg point.in optimisation specify the criteria that the distance b/w the center axis and the cg should be zero and select the dim which can vary in limits. run the analysis U GOT THE DESIGN its as simple as that.mail me if u have any doubts.
Yup. Constrain the imbalance to an acceptable small (abs) value and minimize mass. To achieve the maximum inertia and the minimum mass simultaneously, you would have to create a new function that is mass/inertia and minimize that function. Fun stuff.
as long as the flywheel is a revolved featre!!! its cg lies along the revolution axis. even if you have a ribbed construction andribs equally placed the cog lies along the axis of rotation and any one axis perpendicular to that, no doubt in it.
I think you wish to minimize the mass or weight for the required MOI. as we know MOI is directly proportional to mass and square of radius( distance of CG of section from axis) I=(mr^2)/2you may consider moving the bulk towards the perifery of the flywheel. you are constrained with OD, width and mass I assume.
According to my knowledge, by design all the flywheels will be balanced. Balancing needs only after manufacturing or after machining when the actual part deviate from the designed dimensions and eccentricity exist. So I think it is not in the scope! Since parts will be accurate in CAD.