Topology optimization analysis for minimization of strain energy using the modified optimality criteria method

Abstract

In this study we apply a modified optimality criteria method to density-based topology optimization analysis in static problems. The modified optimality criteria method was developed based on Newton's method and the optimality criteria method. Unlike the optimality criteria method, the modified optimality criteria method does not require the setting of weighting factors. We show the results of the respective density distributions obtained by the optimality criteria method and the modified optimality criteria method for a cantilever beam model. Finally, using the optimization of an automotive part, we demonstrate the industrial applicability of the modified optimality criteria method.