title: Derivation of the state matrix for dynamic analysis of linear homogeneous media.
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.
authors: MWL/Centre for ECO Vehicle Design, KTH Royal Institute of Technology, Teknikringen 8, SE-10044 Stockholm, Sweden.
authors: Juan Pablo
authors: JP
authors: Parra Martinez
authors: Laboratoire d'Acoustique de l'Université du Maine-UMR CNRS 6613, Avenue Olivier Messiaen, F-72085 Le Mans Cedex, France.
authors: Olivier
authors: O
authors: Dazel
authors: MWL/Centre for ECO Vehicle Design, KTH Royal Institute of Technology, Teknikringen 8, SE-10044 Stockholm, Sweden.
authors: Peter
authors: P
authors: Göransson
authors: Siemens Industry Software, Interleuvenlaan 68, B-3001 Leuven, Belgium jppm@kth.se, olivier.dazel@univ-lemans.fr, pege@kth.se, jacques.cuenca@siemens.com.
authors: Jacques
authors: J
authors: Cuenca