The objective of this works is to investigate the interest of analogous piezoelectric networks for vibration mitigation of multiple nonlinear resonances. An electrical network providing a similar dynamics as the considered structure is first designed according to linear considerations. Then, a nonlinear electrical component is added to the network to ensure both a spatial analogy and a principle of similarity regarding the mathematical form of the mechanical nonlinearity. Once the electrical network and the mechanical structure are coupled through an array of piezoelectric elements, it is shown that such an analogous coupling offers strong benefits for vibration mitigation over a broad frequency range and a broad range of excitation amplitudes.