Shape optimization of a flywheel

Abstract This paper deals with finding the best thickness distribution along the radius of a centrally bored flywheel under the objective of reaching an even stress distribution. A global numerical shape optimization procedure is used, employing a two-dimensional Finite-Element-Method (FEM) model, and a one-dimensional analytical model based on simplified mechanical considerations and inspired by Stodola's solution for an evenly stressed turbine disk without central bore. Both models are presented in detail and the results compared. The simplified model yields interesting conclusions.