Application of a weighted sensitivity approach for topology optimization analysis of time dependent problems based on the density method

Abstract

In this study, we apply a weighted sensitivity approach to topology optimization analysis based on the density method in dynamic oscillation problems. In our proposed technique, strain energy is employed as the performance function. The self-adjoint relation is derived from the strain energy. However, when using this technique, the properties of the mesh prevent the acquisition of a non-oscillatory density distribution. Employing our proposed weighted sensitivity, however, reduces the numerical oscillation of the sensitivity in the search direction, resulting in a clear density distribution. We present the results of a comparison of the sensitivity and density distributions.