Abstract
In the topology optimization analysis based on the homogenization design method or the density approach, the checkerboards, that is the formation of regions of alternating solid and void elements ordered in a checkerboard-like fashion, often appear in the optimum solutions. Therefore, the filtering method is necessary for these approaches. In this paper, we present an effective filtering method for the topology optimization analysis using the optimality criteria method as optimizer. In this method, the value of the gravity control function is controlled as a constrained condition. The gravity control function is defined from the relations of the density of an element with that of its neighbor elements. An example of MBB beam is shown to demonstrated the effectiveness of the present method.
