Open AccessExtension of modal reduction methods to non-linear coupled structure-acoustic problems
Author(s) -
Youssef Gerges,
Émeline Sadoulet-Reboul,
Morvan Ouisse,
Noureddine Bouhaddi
Publication year - 2011
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/ejcm.20.227-245
Subject(s) - reduction (mathematics) , context (archaeology) , modal , extension (predicate logic) , closing (real estate) , modal analysis , basis (linear algebra) , finite element method , mathematics , structural engineering , mathematical analysis , computer science , geometry , engineering , materials science , paleontology , political science , polymer chemistry , law , biology , programming language
This paper proposes a robust reduction method dedicated to non-linear vibroacoustic problems in the context of localized geometrical non-linearities. The method consists in enriching the truncated uncoupled modal basis of the linear model by a static response due to unit forces on the non-linear degrees of freedom and by the static response of the fluid due to the interaction with the structure. To show the effectiveness of the proposed method, numerical simulations of responses of an elastic plate closing an acoustic cavity and a hang-on exhaust are performed.