An energy-based automatic sub-structuring method in low- and medium-frequency ranges for uncertain computational vibroacoustic model

Abstract : An energy-based automatic sub-structuring method is proposed. The established energy formulation is applicable in the low- and medium-frequency ranges when using a stochastic vibroacoustic model. The idea evolved from recent work which aimed to take into account system parameters and model uncertainties in vibroacoustic modeling by applying a probabilistic approach of uncertainties. Numerical and experimental results showed statistical properties of the frequency response functions in low- and medium-frequency ranges in a stochastic context. Thus, although inspired from the Statistical Energy Analysis (SEA) method, the used energy formulation is a quite different method and it has the advantage of being applicable in low-frequency ranges where the SEA and its derivations fail to apply. The stochastic model is constructed using the non-parametric probabilistic approach. A simplified model is constructed based on the proposed energy formulation.