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Derivation of the state matrix for dynamic analysis of linear homogeneous media
KTH, School of Engineering Sciences (SCI), Centres, VinnExcellence Center for ECO2 Vehicle design. KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Marcus Wallenberg Laboratory MWL.ORCID iD: 0000-0003-2140-0479
LAUM UMR CNRS 6613.
KTH, School of Engineering Sciences (SCI), Centres, VinnExcellence Center for ECO2 Vehicle design. KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Marcus Wallenberg Laboratory MWL.ORCID iD: 0000-0003-1855-5437
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Marcus Wallenberg Laboratory MWL. Siemens Industry Software.ORCID iD: 0000-0003-4503-4151
2016 (English)In: Journal of the Acoustical Society of America, ISSN 0001-4966, E-ISSN 1520-8524, Vol. 140, no 2, EL218-EL220 p.Article in journal (Refereed) Published
Abstract [en]

A method to obtain the state matrix of an arbitrary linear homogeneous medium excited by a plane wave is proposed. The approach is based on projections on the eigenspace of the governing equations matrix. It is an alternative to manually obtaining a linearly independent set of equations by combining the governing equations. The resulting matrix has been validated against previously published derivations for an anisotropic poroelastic medium.

Place, publisher, year, edition, pages
Acoustical Society of America (ASA), 2016. Vol. 140, no 2, EL218-EL220 p.
Keyword [en]
Anisotropic media, Excited states, A-plane, Eigenspaces, Governing equations, Homogeneous media, Homogeneous medium, Linearly independents, Poroelastic medium, State matrices
National Category
Other Mechanical Engineering
Research subject
Engineering Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-190728DOI: 10.1121/1.4960624ISI: 000383916100012Scopus ID: 2-s2.0-84983405426OAI: oai:DiVA.org:kth-190728DiVA: diva2:952438
Note

QC 20161014

Available from: 2016-08-12 Created: 2016-08-12 Last updated: 2016-11-09Bibliographically approved
In thesis
1. On multilayered system dynamics and waves in anisotropic poroelastic media
Open this publication in new window or tab >>On multilayered system dynamics and waves in anisotropic poroelastic media
2016 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The mechanical and acoustic anisotropy of media is a governing factor in the behaviour of multilayered systems including such media. The understanding of the mechanisms conditioning the dynamic behaviour of multilayered systems is of paramount importance. In particular, the intrinsic anisotropy of poroelastic media presents a potential for the optimal design of systems for multifunctional performances. Indeed, these multilayered systems are bound by stiffness, thermal and acoustic performance constraints in simultaneously. A plane wave method is presented to study the influence of material orientation in the dynamic behaviour of multilayered systems composed of anisotropic poroelastic media. The method is applied to a system composed of an anisotropic open-celled melamine foam core in between two metal sheets. This particular multilayered configuration allows to shed light on phenomena intrinsic to layers composed of anisotropic poroelastic materials, such as the frequency shift of the fundamental resonance of the panel, or the compression-shear coupling effects taking place in the poroelastic core layers. The latter phenomena is of particular importance, as it is evidenced on the unconventional polarisation of waves in anisotropic poroelastic media. Finally, the method is adapted to the optimisation of multilayered systems for acoustic performance. the design variables are consequently the core material orientations with respect to the global coordinate system. The solutions to the optimisation problem are analysed in terms of dynamic behaviour, thus allowing to correlate acoustic performance of the overall structure, and the response of each individual layer.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2016. 57 p.
Series
TRITA-AVE, ISSN 1651-7660 ; 2016:77
Keyword
poroelastic media, anisotropy, plane waves, multilayered systems, dynamics, acoustics, optimisation, matériaux poro-visco-élastique, anisotropie, ondes planes, panneaux multicouches, dynamique, acoustique, optimisation, Poroelastiska material, anisotropi, planvågor, flerskiktssystem, dynamik, akustik, optimering
National Category
Vehicle Engineering
Research subject
Vehicle and Maritime Engineering
Identifiers
urn:nbn:se:kth:diva-195801 (URN)978-91-7729-172-5 (ISBN)
Public defence
2016-12-06, F3, Lindstedtsvägen 26, Stockholm, 10:00 (English)
Opponent
Supervisors
Note

QC 20161110

Available from: 2016-11-10 Created: 2016-11-09 Last updated: 2016-11-10Bibliographically approved

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Parra Martinez, Juan PabloGöransson, PeterCuenca, Jacques
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Citation style
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