Master lecture Timo Ahlburg
Vibro-acoustic metamaterials, which are specially designed to control the transmission of sound and vibration, offer interesting applications in the context of civil engineering. For example, they could be used in façade systems to filter out noise in certain frequency ranges.
However, metamaterials often have a complex microstructure resulting from the underlying unit cells, which requires complex simulations, especially in real applications of finite size. Extensive research has been carried out on suitable homogenization methods, such as the Relaxed Micromorphic Model (RMM), but the simulation of finite-size metamaterials remains a challenge.
In this work, the suitability of the RMM for finite-size metamaterials is specifically investigated using a parametric frequency analysis. For a given finite-size material, the boundary-to-mass ratio, the frequency and the material model are varied. In addition, different cuts of the same metamaterial are considered, resulting in different unit cells.