Applying a topology optimization projection scheme for structures under free and forced vibration

Resumo

This work addresses topology optimization applied to structures under free and forced vibrations using
the density approach. A SIMP-like model is used to penalize the stiffness and the mass distribution. The density
approach applied to structures under vibration is prone to intermediate densities in the final solution and to
numerical instabilities on a larger scale than the static approaches. In this paper a projection scheme is applied to
overcome the numerical instabilities characteristic of this type of approach using a Heaviside projection function
is applied in both cases. The Heaviside function also reduces de intermediate densities in the final solution when
compared both to the linear function and to the application of the classical sensitivity filter. Numerical examples
are presented to illustrate the application of the projection-based technique applied to free and forced vibration
problems.