A crossing sensitivity filter for structural topology optimization with chamfering, rounding, and checkerboard-free patterns

Chamfering and rounding are the most common features of structures and mechanisms. Introducing these features is another way to make material usage more efficient by lowering or avoiding stress con centrations and making the structure even stronger. In this brief note, a new crossing sensitivity filter is proposed for structural topology optimization with chamfering and rounding. This method also ensures the final optimal solution without checkerboard patterns or mesh-dependency. It can also partially prevent one-node hinges. Numerical examples that include both design of stiffest/strongest structures and synthesis of compliant mechanisms are provided.