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

M. Kassem (1, 2) , Christian Soize (1) , L. Gagliardini (2)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle
2 PSA Peugeot Citroen

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.

Mots clés: uncertainty quantification; vibroacoustics; automatic sub-structuring method; low frequency; medium frequency; SEA; statistical energy analysis; automotive vehicle; nonparametric probabilistic method; modeling errors; model uncertainties; random uncertainties; random matrix

Domaines: Mécanique [physics.med-ph]; Probabilités [math.PR]; Statistiques [math.ST]; Vibrations [physics.class-ph]

M. Kassem, Christian Soize, L. Gagliardini. An energy-based automatic sub-structuring method in low- and medium-frequency ranges for uncertain computational vibroacoustic model. NOVEM 2009, Noise and Vibration: Emerging Methods, Klebe College, Oxford, Apr 2009, Oxford, United Kingdom. pp.1-10. ⟨hal-00691745⟩