Additive manufacturing (AM) is gaining high interest because the possibility of building components with specific architecture designed and tailored on the application. Among these geometries, lattice structures have been the first developed with the aim of creating a certain geometry that could mimic the cellular or the trabecular ones. The great possibility offered by the design freedom for AM may allow to create a new class of structures that are inspired by hierarchical materials. The aim of this thesis is to design a new geometry that mimics the mechanical behaviour of a metallic-ceramic, hierarchical structure which is susceptible to internal vibrations under localized loads.