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

Juan Pablo Parra Martinez | Zendy; Olivier Dazel | Zendy; Peter Göransson | Zendy; Jacques Cuenca | Zendy

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

Author(s) -

Juan Pablo Parra Martinez,

Olivier Dazel,

Peter Göransson,

Jacques Cuenca

Publication year - 2016

Publication title -

the journal of the acoustical society of america

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.619

H-Index - 187

eISSN - 1520-8524

pISSN - 0001-4966

DOI - 10.1121/1.4960624

Subject(s) - matrix (chemical analysis) , eigenvalues and eigenvectors , homogeneous , poromechanics , mathematics , mathematical analysis , set (abstract data type) , state (computer science) , eigendecomposition of a matrix , physics , computer science , algorithm , materials science , porous medium , combinatorics , quantum mechanics , porosity , composite material , programming language

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.

QC 20161014

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