How to Calculate Inertia and Kinetic Energy for a High Inertia Flywheel?

[Dean Winchester]

Hello,

I have to design a high inertia flywheel for energy storage. The flywheel must be something like in the drawing I attached. The question is: how can I calculate the Inertia and the stored kinetic energy in this type of flywheel?
Can I consider it like a classic "Rim , hub and spokes" flywheel, thus considering it like if there was a continuous rim, and use the classic formulas found in literature, such as I_rim=m*R_m^2 (where R_m is the mean radius) for the inertia of the rim and E=1/2*I_r*w^2 for the kinetic energy stored?

Thanks a lot for your help!

 

[Puma]

I would approach it as 3 concentric circles, calculate the energy of each disc and add them together.

https://www.physicsforums.com/threads/rotational-kinetic-energy-of-a-solid-disk.181191/

 

[Lok]

Just curious?
Why not use the Inertia calculations of said CAD program? It's much more precise than a mathematical assumption based formulation, as those intersections and fillets will have high error coefficients.