Robust Topology Optimization of Resonant Structures Considering Uncer- tainty in the Excitation Frequency

Resumo

This article addresses robust continuous topology optimization of resonant structures under uncertain

excitation frequency. The harmonic dynamic response is evaluated by a density-weighted norm and the optimiza-
tion problem is solved by using the Method of Moving Assymptotes. The formulation is assessed by using a

common benchmark problem. Results show that the proposed formulation leads to the design of resonant struc-
tures with improved robustness. Results also show that the mechanism used by the optimizer to improve robustness

depends on the magnitude of the target excitation frequency: at lower frequencies, a low-energy resonance is used
to create an interval around the target frequency with minimized dynamic response variations whereas at higher
frequencies, a pair of high-energy resonances is located at the neighborhood of the target excitation frequency to
create the same effect and improve the dynamic robustness.