To widen the frequency domain of vibroacoustic analysis of finite elements methods and the SEA (Statistical Energy Analysis), Simplified Energy Method MES (french abbreviation) using quadratic variables can cover as well medium as high frequencies. This method is based on an analysis of the vibratory and acoustic propagative waves. In this work, Inverse MES formulation is proposed. From a vector of energy density and vibroacoustic intensity data, inverse MES formulation can raise sources. It makes it possible to identify vibration sources in two-dimensional systems (excited plate in inflection...) and acoustic sources in three-dimensional systems (excited acoustic cavity...). Inverse MES formulation is numerically validated in several cases. A parametric analysis is carried out in order to test the robustness and the effectiveness of this approach. For example, the sensitivity with the data input or with nature of considered sources is treated. A comparison between numerical results founded by MES and those founded by SEA are discussed to present MES advantages at identifying sources. An industrial application ofthe inverse formulation of the method is carried out within the framework of this work. It shows its reliability in the case of a cabin excited by a white noise. Finally, MES shows its utility to reduce harmful sound detected in cabins. An optimization program is developed making it possible to find the best distribution of the poroelastic layers and to define their characteristics.
