Otimização topológica binária de estruturas com abordagem de tensão

Abstract

his paper presents an innovative approach in the field of topological optimization, focusing on the Topology Optimization of Binary Structures (TOBS) method. The main objective is to develop a topological optimization algorithm that differentiates itself by using stress as the sensitivity criterion, in contrast to the commonly adopted deformation. To this end, a modified form of the P-norm is devised, and auxiliary functions are introduced to overcome computational problems. The motivation for this choice lies in the search for more efficient and realistic solutions to engineering problems, where stress plays a crucial role in determining structural integrity. Aiming for more precise optimization aligned with practical demands, clamped beam cases with forces applied at different points were analyzed, thus validating the proposed methodology through case studies and comparing it with conventional approaches, highlighting its effectiveness and advantages in optimizing complex structures. The obtained results demonstrate not only the feasibility of the proposed approach but also its potential to significantly improve the performance and reliability of structural designs, achieving cases with a reduction of more than 20% in the maximum stress of the final structure, while maintaining the strain energy with a difference of approximately 3%. However, it is notable that the methodology is not yet fully mature, often suffering from large oscillations and requiring more iterations to reach convergence. This work contributes to the advancement of the field of topological optimization, emphasizing the importance of considering stress as a sensitivity criterion. By exploring new horizons in this area, it opens up space for practical application in various engineering sectors, providing