Considerations On Relationship Between Each Sensitivity Term and Results of Topology Optimization in Unsteady Oscillation Problem for 3D Cantilever Beam

Abstract

In this study, we carried out the topology optimization based on the density method in the unsteady oscillation problems. This paper considers two items, the proposal of new performance function and the relationship between each sensitivity term and results of topology optimization. In other studies, the adjoint analysis must be performed for the propose of minimizing strain energy. Optimization problems are classified into the problem of maximizing work in the negative and the problem of minimizing work in the positive, and self-adjoint relationships are derived. When using this method for cantilever beam model, there is a problem that numerous high-density elements is distributed at the load point, i.e., the tip. By classifying the sensitivity, it is found that the mass term has a great influence on the problem. In our study, some results are shown by changing the penalization parameter in the SIMP method that determines the mass coefficient, damping coefficient and elastic coefficient.