Uncertainty propagation in a nonlinear reduced-order model in internal elasto-acoustics

Abstract : The present research concerns the uncertainty propagation in elasto-acoustics, taking into account the geometrical nonlinearities induced by the large displacements/deformations of the structure and assuming the internal acoustic fluid occupying an internal cavity coupled to the structure to remain in a linear range of vibration. The problem is formulated with structural displacements and fluid pressures unknowns. Uncertainties are implemented from a mean nonlinear reduced-order model using the non-parametric probabilistic approach. More particularly, a dedicated stiffness operator self-containing all the information concerning both linear and nonlinear stiffness terms is constructed. A particular attention concerns the modeling of such stiffness operator through a second local reduction so that the size of the random germ be of reasonable size and be identical whether uncertainties are investigated on only linear or nonlinear stiffness terms. A numerical application is presented.
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Submitted on : Monday, September 11, 2017 - 8:18:42 PM
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Evangéline Capiez-Lernout, Christian Soize, Quentin Akkaoui, Roger Ohayon. Uncertainty propagation in a nonlinear reduced-order model in internal elasto-acoustics. Congrès Français de Mécanique (CFM 2017), Aug 2017, Lille, France. pp.1204-1209. ⟨hal-01585715⟩

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