ROM for nonlinear vibroacoustic problems with structural and acoustic nonlinearities

Youssef Gerges (1) , Emeline Sadoulet-Reboul (1) , Morvan Ouisse (1) , Noureddine Bouhaddi (1)

1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

This paper presents a reduced order method dedicated to nonlinear vibroacoustic problems. Both structural and acoustics behavior are nonlinear. The structural nonlinearity is due to large displacements while the acoustic nonlinearity is due to the high intensity level in the fluid. The Kuznetsov equation is used to formulate the nonlinear acoustic problem. The reduced order model is based on the Ritz bases of the uncoupled linear problem. Nonlinear behavior is considered as a perturbation of the linear model so that the resolution is compared to a reanalysis problem. The Combined Approximation method dedicated to reanalysis problems is used to enriche the Ritz reduced basis.

Domaines: Mécanique [physics.med-ph]

Youssef Gerges, Emeline Sadoulet-Reboul, Morvan Ouisse, Noureddine Bouhaddi. ROM for nonlinear vibroacoustic problems with structural and acoustic nonlinearities. 1st Euro-Mediterranean Conference on Structural Dynamics and Vibroacoustics (MEDYNA 2013), Jan 2013, Libya. pp.1 - 4. ⟨hal-00993443⟩