New directions in linear acoustics and vibration: quantum chaos, random matrix theory, and complexity
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| Other Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
New York, NY
Cambridge University Press
2015
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| Edition: | First paperback edition |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | IX, 274 Seiten Illustrationen |
| ISBN: | 9781107513457 9780521885089 |
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| 245 | 1 | 0 | |a New directions in linear acoustics and vibration |b quantum chaos, random matrix theory, and complexity |c edited by Matthew Wright, University of Southampton, Richard Weaver, University of Illinois |
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| adam_text | Contents
Foreword by Michael Berry page vii
Introduction.......................................................1
Matthew Wright and Richard Weaver
1 The Semidassical Trace Formula...................................5
Matthew Wright
2 Wave Chaos for the Helmholtz Equation............................24
Olivier Legrand and Fabrice Mortessagne
3 The Unreasonable Effectiveness of Random Matrix Theory for
the Vibrations and Acoustics of Complex Structures................42
Richard Weaver
4 Gaussian Random Wavefields and the Ergodic Mode Hypothesis .... 59 Mark R. Dennis
5 Short Periodic Orbit Theory of Eigenfunctions....................77
Eduardo G. Vergini and Gabriel G. Carlo
6 Chaotic Wave Scattering...........................................96
Jonathan P. Keating and Marcel Novaes
7 Transfer Operators Applied to Elastic Plate Vibrations...........110
Niels Spndergaard
8 Mesoscopics in Acoustics.........................................123
Richard Weaver
9 Diagrammatic Methods in Multiple Scattering......................131
Joseph A. Turner and Goutam Ghoshal
10 Time-Reversed Waves in Complex Media.............................146
Mathias Fink
vi Contents
11 Ocean Acoustics: A Novel Laboratory for Wave Chaos..............169
Steven Tomsovic and Michael Brown
12 Mesoscopic Seismic Waves............;.............................188
Michel Campillo and Ludovic M arger in
13 Random Matrices in Structural Acoustics............................206
Christian Soize
14 The Analysis of Random Built-Up Engineering Systems................231
Robin Langley
References 251
Index 271
“The chapters in this fine collection provide abundant demonstration of the continuing fertility, in the understanding of acoustic spectra, of periodic-orbit theory and the statistical approach.”
- Sir Michael Berry, University of Bristol
The field of acoustics is of immense industrial and scientific importance. The subject is built on the foundations of linear acoustics, which is widely regarded as so mature that it is fully encapsulated in the physics texts of the 1950s. This view was changed by developments in physics such as the study of quantum chaos. Developments in physics throughout the last four decades, often equally applicable to both quantum and linear acoustic problems but overwhelmingly more often expressed in the language of the former, have explored this. There is a significant new amount of theory that can he used to address problems in linear acoustics and vibration, hut only a small amount of reported work does so. This book is an attempt to bridge the gap between theoreticians and practitioners, as well as the gap between quantum and acoustic. Tutorial chapters provide introductions to each of the major aspects of the physical theory and are written using the appropriate terminology of the acoustical community.
The book will act as a quick-start guide to the new methods while providing a wide-ranging introduction to the physical concepts.
is a senior lecturer in Acoustics at the Institute of Sound and Vibration Research (ISVR). His B.Eng. was in engineering acoustics and vibration, and his Ph.D. was in Volterra series characterization and identification of nonlinear bioacoustic systems, both from the University of Southampton. Since then he has worked on Row control for drag and noise reduction, turbofan inlet design, aeroacoustic theory, violin acoustics, and quantum chaos in acoustics, for the study of which he was awarded an EPSRC Advanced Research Fellowship.
I iis current interests include wind farm noise and the neuroscience of hearing. He is a Fellow of the Institute of Acoustics, a Fellow of the Institute of Mathematics and Its Applications, a Senior Member of the American Institute of Aeronautics and Astronautics, a Member of the Acoustical Society of America, and the hook reviews editor of the Journal of Sound and Vibration. He teaches musical instrument acoustics and acoustical design.
received an A. Ik degree in physics from Washington University in St. Louis in 1971 and a Ph.D. in astrophysics from Cornell University in 1977.1 le has been at the University of Illinois since 1981, after a research associateship in theoretical elastic wave propagation and ultrasonics at Cornell. He was elected a Fellow of the Acoustical Society of America in 199G and received the Hetenyi Award from the Society for Experimental Mechanics in 2004. He is associate editor of the Journal of the Acoustical Society of America.
Cover art: foreground - a generic vibrating structure used to test the theory developed in Chapter 14. Courtesy ofVincent Cotoni, HSI Croup. Background - isotropic random vvavefield formed by the superposition of 320 plane waves vvitli uniformly distributed random directions and phases. Courtesy of Mark R. Dennis, University of Bristol.
Cover design by Alice Soloway
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| spelling | New directions in linear acoustics and vibration quantum chaos, random matrix theory, and complexity edited by Matthew Wright, University of Southampton, Richard Weaver, University of Illinois First paperback edition New York, NY Cambridge University Press 2015 IX, 274 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Schallwelle (DE-588)4191490-9 gnd rswk-swf Schallwelle (DE-588)4191490-9 s DE-604 Wright, Matthew edt Weaver, Richard edt Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028192192&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028192192&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
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| title | New directions in linear acoustics and vibration quantum chaos, random matrix theory, and complexity |
| title_auth | New directions in linear acoustics and vibration quantum chaos, random matrix theory, and complexity |
| title_exact_search | New directions in linear acoustics and vibration quantum chaos, random matrix theory, and complexity |
| title_full | New directions in linear acoustics and vibration quantum chaos, random matrix theory, and complexity edited by Matthew Wright, University of Southampton, Richard Weaver, University of Illinois |
| title_fullStr | New directions in linear acoustics and vibration quantum chaos, random matrix theory, and complexity edited by Matthew Wright, University of Southampton, Richard Weaver, University of Illinois |
| title_full_unstemmed | New directions in linear acoustics and vibration quantum chaos, random matrix theory, and complexity edited by Matthew Wright, University of Southampton, Richard Weaver, University of Illinois |
| title_short | New directions in linear acoustics and vibration |
| title_sort | new directions in linear acoustics and vibration quantum chaos random matrix theory and complexity |
| title_sub | quantum chaos, random matrix theory, and complexity |
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