A normal modes technique to reduce the order of poroelastic models: application to 2D and coupled 3D models
2013 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 96, no 2, 110-128 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
Wiley-Blackwell, 2013. Vol. 96, no 2, 110-128 p.
acoustics, dynamical systems, linear solvers
Engineering and Technology
IdentifiersURN: urn:nbn:se:kth:diva-134572DOI: 10.1002/nme.4551ISI: 000324301600003ScopusID: 2-s2.0-84884288838OAI: oai:DiVA.org:kth-134572DiVA: diva2:667647
QC 20131127. QC 201602122013-11-272013-11-252016-02-12Bibliographically approved