Density-Based Topology Optimization AnalysisUsing the Modified Optimality Criteria Methodin 3-dimensional Dynamic Oscillation Problems

Abstract

Update equations are important in the field of computational mechanics. In the topology optimization problem, the optimality criteria (OC) method is commonly employed as an update equation. The OC method updates design variables faster than the steepest descent method and was developed for topology optimization based on homogenization method and density method. However, because the OC method has certain arbitrary parameters for updating, the results may depend on the parameters. The modified OC method that we have developed does not require arbitrary parameters. Notably, the penalization parameter, which is a parameter that must be set to represent the material property, had less influence on the density distribution when the modified OC method was employed in static problems. Based on the aforementioned analysis, the purpose of this study was to investigate whether the same trend could be obtained in density-based topology optimization for dynamic oscillation problems. As a result, even when the penalization parameter was varied, the density distribution when using the modified OC method was clearer than that when using the OC method.