Optimal design of wheel rim in elastic mechanics

In the context of shape optimization, this article proposes a numerical method for designing wheel rims as linear elastic structures. Our approach is based on a combination of the classical shape derivative and the Lagrangian method. The compliant shape derivative with respect to the domain variation has been computed by using Cea fast derivation method. With a novel utilization of the gradient shape optimization strategy, we present a numerical scheme for the optimal design of wheel rims. A remeshing technique is implemented to achieve the regularization of shapes. Design applications are examined on a general vehicle in various circumstances to illustrate the efficiency of the presented scheme. The proposed method applies to different wheel designs due to its simplicity and generic nature.