Engineering Mechanics

International Conference

Proceedings Vol. 18 (2012)


ENGINEERING MECHANICS 2012

18th INTERNATIONAL CONFERENCE
May 14 – 17, 2012, Svratka, Czech Republic
;
Editors: Jiří Náprstek and Cyril Fischer

Copyright © 2012 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-86246-39-0 (printed, Extended Abstracts)
ISBN 978-80-86246-40-6 (electronic)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

Computational homogenization of acoustic problem in perforated plates
V. Lukeš, E. Rohan
pages 843 - 848, full text

We consider acoustic wave propagation described by Helmholtz equation and involving homogenized transmission conditions imposed along a thin perforated interface separating two halfspaces occupied by the acoustic medium. The homogenized transmission conditions are imposed on this perforated interface. The transmission conditions were obtained as the two-scale homogenization limit of the standard acoustic problem imposed in the layer perforated by a sieve-like obstacle with periodic structure. By using the sensitivity analysis we can solve the problem of an optimal design of the perforation to minimize the transmission loss in a domain embedding the interface. The perforated periodic structure is represented by a reference computational cell, whereby its geometry is controlled by the spline functions.


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