tjakeman,
Do you want inertia reduction or weight reduction? The main purpose of a flywheel is to increase the engine's rotating inertia so that it suffers less variation in angular velocity between cylinder firing events (ie. so it runs "smoother"). The fact that the flywheel face provides a convenient location for a clutch friction surface, and the flywheel OD is perfect for locating a starter ring gear, are simply secondary functions of a typical flywheel.
The weight of the flywheel can usually be reduced without reducing its inertia, simply by optimizing the distribution of the required material mass.
Analyzing a flywheel is fairly straightforward:
-The crank attachment should be analyzed for taking the max sum of instantaneous cranking torques produced by all of the cylinders, through the bolted flange joint solely by friction.
-As others noted, friction clutch components are designed primarily by thermal capacity. The flywheel should have sufficient thermal mass and heat transfer away from the friction face such that the clutch friction face does not experience a temperature rise that will cause mechanical failure or de-tempering of a heat treated metal alloy. The heat input from the clutch is a function of the power that must be absorbed over the period of time that clutch slippage is required to synchronize the transmission and engine speeds.
-Unless you're using a low strength, cast material for your flywheel, or running very high rotational speeds, then burst strength is likely not an issue. But still, for rotating components a very conservative analysis FoS is definitely in order.
-If your flywheel incorporates a ring gear for the starter, be sure to check that your material has adequate surface compressive strength for the gear tooth contact loads produced by the starter pinion gear. These contact stresses can actually be quite high, even for a lightly loaded, low cycle starter gear mesh.
-Fianlly, be sure to check your flywheel for structural frequency modes. It should not have any that might couple with firing frequencies produced in the engine, or even possibly meshing frequencies produced in the transmission gears.
Hope that helps.
Terry