Shape Optimization of a Flywheel

The article presents the problem of the use of flywheels as an energy storage. More specifically focused on the issue of the optimal shape for isotropic materials and shapes, for which you can analytically determine the internal stress. The optimality criterion takes into account parameters such as moment of inertia (stored energy) and energy density. Efforts were made to choose a compromise between these two conflicting values, and therefore have been used multi-criteria optimization methods