Finite Difference and Finite Element Methods
Applications of the finite difference and finite element techniques to vibroacoustic problems are presented. The basic ideas and the mathematical descriptions are outlined for both of the methods and examples are given to demonstrate the potential of such
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Series Editors: The Rectors of CISM Sandor Kaliszky - Budapest Mahir Sayir - Zurich Wilhelm Schneider - Wien The Secretary General of CISM Giovanni Bianchi - Milan Executive Editor Carlo Tasso - Udine
The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series is to make known in the international scientific and 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 LECfURES - No. 396
FLUID-STRUCTURE INTERACTIONS IN ACOUSTICS
EDITED BY DOMINIQUE HABAULT C.N.R.S. - L.M.A., FRANCE
~ Springer-Verlag Wien GmbH
This volume contains 135 iIIustrations
This work is subject to copyright. AII rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks.
© 1999 by Springer-Verlag Wien Origina11y published by CISM, Udine in 1999. SPIN 10728749
In order to make this volume available as economically and as rapidl)' as possible the authors' typescripts have been reproduced in their original forms. This method unfortunately has its typographical limitations but it is hoped that they in no way distract the reader.
ISBN 978-3-211-83147-2 ISBN 978-3-7091-2482-6 (eBook) DOI 10.1007/978-3-7091-2482-6
PREFACE Nowadays, environmental pollution by noise and vibration is an important nuisance. The necessity of reducing this pollution has increased during the last decades. Silence is now one of the main qualities for a car, a train, a plane, a building ... A great number of studies are conducted (in universities and in industry) on the noise radiation phenomena which are responsible for this kind of pollution. Generally speaking, noise radiation is caused by the coupling between a structure which vibrates because or mechanical and/or flow excitations and the surrounding fluid. The expressions "fluid-structure interactions" and "Vibro-Acoustics" are also used to refer to these phenomena. The course presents an advanced overview on interaction phenomena between a structure and a fluid, including nonlinear aspects. Chapters 1 and 2 are mainly dedicated to the description of the phenomena and provide the basic equations. Chapter 1 is concerned with the description or the vibrations or thin bodies immersed in a fluid and submitted to deterministic or random excitations. Chapter 2 is concerned with the des.cr_iption or the fluid flow (turbulent flows, turbulent boundary layer, wall-pressure fluctuations) and or the vibro-acoustic response or a flexible structure to the adjacent turbulent wall-pressure field. Chapters 3 to 5 are dedicated to analytical and numerical methods to compute the displacement on the structure and the sound pressure radiated in the fluid. They include the description or methods suc
