Porous materials are widely used for noise control due to their light weight and excellent sound absorption, except in the low frequency range. This paper presents two configurations where a poroelastic material is structured to address this limitation by taking advantage of a skeleton resonance at low frequency. The design allows easy adjustment of the targeted frequency without increasing the mass density or sacrificing space. First, the acoustic propagation in a duct is considered. It is controlled by an array of poroelastic lamellae, which provides an increased sound attenuation around the first bending resonance of the lamellae. Secondly, the sound transmission through a single or double panel partition is addressed. It is mitigated by a network of poroelastic clamped beams, the first bending resonance of which is adjusted to the first mode of the finite size plate or to the mass-spring-mass resonance of the double panel. For both configurations, experimental proofs of the concept are shown. Finally, a numerical model, which can take into account the periodicity of the structure, makes it possible to analyse the dissipation mechanisms and the effect of the governing parameters, such as the mass ratio, the Young’s modulus and the airflow resistivity.