cism courses and lectures - ciando

CISM COURSES AND LECTURES

Series Editors:

The RectorsGiulio Maier - Milan

Jean Salençon - PalaiseauWilhelm Schneider - Wien

The Secretary GeneralBernhard Schrefler - Padua

Executive EditorPaolo Serafini - Udine

The series presents lecture notes, monographs, edited works andproceedings in the field of Mechanics, Engineering, Computer Science

and Applied Mathematics.Purpose of the series is to make known in the international scientificand technical community results obtained in some of the activities

organized by CISM, the International Centre for Mechanical Sciences.

INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES

COURSES AND LECTURES - No. 505

COMPUTATIONAL ASPECTS OFSTRUCTURAL ACOUSTICS AND

VIBRATION

EDITED BY

GÖRAN SANDBERGLTH, LUND UNIVERSITY, SWEDEN

ROGER OHAYONCNAM, PARIS, FRANCE

This volume contains 113 illustrations

This work is subject to copyright.All rights are reserved,

whether the whole or part of the material is concernedspecifically those of translation, reprinting, re-use of illustrations,

broadcasting, reproduction by photocopying machineor similar means, and storage in data banks.

© 2008 by CISM, UdinePrinted in ItalySPIN 12567607

All contributions have been typeset by the authors.

ISBN 978-3-211-89650-1 SpringerWienNewYork

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Variational Formulations of Interior Structural-Acoustic… 3

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Variational Formulations of Interior Structural-Acoustic… 9

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Variational Formulations of Interior Structural-Acoustic… 15

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Variational Formulations of Interior Structural-Acoustic… 19

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