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

J Acoust Soc Am

Siemens Industry Software, Interleuvenlaan 68, B-3001 Leuven, Belgium

Published: August 2016


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Article 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.

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http://dx.doi.org/10.1121/1.4960624DOI Listing

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