LAUSR

Abstract This manuscript discusses shape and position preserving designs in harmonic vibration problems using topology optimization. Shape preserving designs are obtained considering the active input power as the objective function and the local time-averaged potential energy as constraint. This approach is compared to another measure used in the literature, the local dynamic compliance, and the results show improved results with a more stable solution procedure. Regarding position preserving design, a new formulation is proposed, where the local time-averaged kinetic energy is used as design constraint. Some examples are presented and discussed in details, indicating the effectiveness of the proposed approaches as well as the physical interpretation of the designs.