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Derivation of the state matrix for dynamic analysis of linear homogeneous media

Juan Pablo Parra Martinez 1 Olivier Dazel 2 Peter Göransson 1 Jacques Cuenca 3
1 KTH - Royal Institute of Technology [Stockholm]
2 LAUM - Laboratoire d'Acoustique de l'Université du Mans
3 Siemens Industry Software
Abstract : 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.
Keywords : Multivariable calculus Biot model State functions Acoustics Spatial dependence Porous media Coordinate system
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https://hal-univ-lemans.archives-ouvertes.fr/hal-02458833
Contributeur : Olivier Dazel <>
Soumis le : mercredi 29 janvier 2020 - 06:35:38
Dernière modification le : jeudi 21 janvier 2021 - 16:06:25

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UNIV-LEMANS | LAUM | CNRS

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Juan Pablo Parra Martinez, Olivier Dazel, Peter Göransson, Jacques Cuenca. Derivation of the state matrix for dynamic analysis of linear homogeneous media. Journal of the Acoustical Society of America, Acoustical Society of America, 2016, 140 (2), pp.EL218-EL220. ⟨10.1121/1.4960624⟩. ⟨hal-02458833⟩

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