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A normal modes tech...
A normal modes technique to reduce the order of poroelastic models : application to 2D and coupled 3D models
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- Dazel, Olivier (author)
- Université du Maine, Le Mans France,LAUM
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- Brouard, B. (author)
- Université du Maine, Le Mans France,LAUM
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- Groby, J. -P (author)
- Université du Maine, Le Mans France,LAUM
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- Göransson, Peter (author)
- KTH,MWL Marcus Wallenberg Laboratoriet
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(creator_code:org_t)
- 2013-07-25
- 2013
- English.
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In: International Journal for Numerical Methods in Engineering. - : Wiley-Blackwell. - 0029-5981 .- 1097-0207. ; 96:2, s. 110-128
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- A reduced-order model for structures involving poroelastic materials is proposed in this paper. The approach is based on a separation of the solid and fluid phases of the porous material into separate substructures. For each individual substructure, a decoupled normal mode basis is considered, from which a set of vectors for the decomposition is selected. The preserved modes are completed by an additional family to correct for the influence of the static response of the non-preserved. It is shown that the only neglected phenomenons in the model are the inertia of the non-preserved modes and part of their intercoupling. The following three features render the proposed scheme computationally attractive: (i) real valued matrices are involved in the transformations; (ii) the assembly of complex, frequency dependent matrices is only performed at the stage of solving for a particular frequency; and (iii) the number of normal modes required are selected using a novel method.The computational efficacy is demonstrated, on a simple but realistic 3D case, through numerical results obtained using a reduced number of DOFs, showing a significant reduction of computational cost compared with traditional methods.
Keyword
- acoustics
- dynamical systems
- linear solvers
Publication and Content Type
- ref (subject category)
- art (subject category)
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