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"Sound-waves -- Mathematical models"
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Computational acoustics : theory and implementation
by
Bergman, David R.
in
Sound-waves
,
Sound-waves -- Computer simulation
,
Sound-waves -- Mathematical models
2018
Covers the theory and practice of innovative new approaches to modelling acoustic propagation
There are as many types of acoustic phenomena as there are media, from longitudinal pressure waves in a fluid to S and P waves in seismology. This text focuses on the application of computational methods to the fields of linear acoustics. Techniques for solving the linear wave equation in homogeneous medium are explored in depth, as are techniques for modelling wave propagation in inhomogeneous and anisotropic fluid medium from a source and scattering from objects.
Written for both students and working engineers, this book features a unique pedagogical approach to acquainting readers with innovative numerical methods for developing computational procedures for solving problems in acoustics and for understanding linear acoustic propagation and scattering. Chapters follow a consistent format, beginning with a presentation of modelling paradigms, followed by descriptions of numerical methods appropriate to each paradigm. Along the way important implementation issues are discussed and examples are provided, as are exercises and references to suggested readings. Classic methods and approaches are explored throughout, along with comments on modern advances and novel modeling approaches.
* Bridges the gap between theory and implementation, and features examples illustrating the use of the methods described
* Provides complete derivations and explanations of recent research trends in order to provide readers with a deep understanding of novel techniques and methods
* Features a systematic presentation appropriate for advanced students as well as working professionals
* References, suggested reading and fully worked problems are provided throughout
An indispensable learning tool/reference that readers will find useful throughout their academic and professional careers, this book is both a supplemental text for graduate students in physics and engineering interested in acoustics and a valuable working resource for engineers in an array of industries, including defense, medicine, architecture, civil engineering, aerospace, biotech, and more.
Finite Element and Boundary Methods in Structural Acoustics and Vibration
by
Atalla, Noureddine
,
Sgard, Franck
in
Acoustical engineering
,
Acoustical engineering -- Mathematical models
,
Boundary element methods
2015
A unique and in-depth presentation of the finite element method (FEM) and the boundary element method (BEM) in structural acoustics and vibrations, this book illustrates the principles using a logical and progressive methodology, which leads to a thorough understanding of their physical and mathematical principles and their implementation to solve a wide range of problems in structural acoustics and vibration. This book helps readers to understand the principles, use of the FEM, and the BEM in structural acoustics and vibrations.
Sound Visualization and Manipulation
2013
Unique in addressing two different problems – sound visualization and manipulation – in a unified way
Advances in signal processing technology are enabling ever more accurate visualization of existing sound fields and precisely defined sound field production. The idea of explaining both the problem of sound visualization and the problem of the manipulation of sound within one book supports this inter-related area of study. With rapid development of array technologies, it is possible to do much in terms of visualization and manipulation, among other technologies involved with the spatial distribution of sound. This book aims to explore various basic functions for the visualization and manipulation and demonstrate to the reader how these properties determine the quality of visualization and manipulation. The first half of the book introduces some basic and general concepts and theories and the second part of the book explains a number of techniques in sound visualization and manipulation. It offers a unified presentation to two very different topics - sound field visualization techniques based on microphone arrays, and techniques for generation of controlled sound fields using loudspeaker arrays. The authors emphasize the similarities between these two physical problems and between the mathematical methods used for solving them.
With extensive examples throughout the book, chapters include: Acoustic Wave Equation and its Basic Physical Measures, Acoustic Wave Equation and its Basic Physical Measures, Basic Theory of Sound Visualization, Acoustic Holography, Beamforming, Basic Theory of Sound Manipulation, Sound Focusing, and Sound Field Reproduction.
* The first book to combine both the visualization and manipulation of sound technologies in one comprehensive volume
* Presents the basic concepts using simple one dimensional cases and then extends the concept to three dimensional cases, enabling easier understanding of the fundamental concepts through the use of minimum mathematics
* Provides a solid understanding of associated physics as well as mathematical concepts for understanding the technologies, addressing diffraction problems in an integrated format by using Kirchhoff-Helmholtz integral equation
* Uses extensive examples demonstrating the benefits and drawbacks of various applications, including beamforming and acoustic holography
A valuable resource forpost / graduate students, acoustic engineers, audio and noise control system developers
Theoretical And Computational Acoustics 2003
2004
The ICTCA conference provides an interdisciplinary forum for active researchers in academia and industry who are of varying backgrounds to discuss the state-of-the-art developments and results in theoretical and computational acoustics and related topics. The papers presented at the meeting cover acoustical problems of common interest across disciplines and their accurate mathematical and numerical modeling.This volume collects papers that were presented at the sixth meeting. The subjects include geophysics, scattering and diffraction, the parabolic equation (with special sessions in honor of Dr Fred Tappert), seismic exploration, boundary element methods, visualization, oil industry applications, shallow water acoustics, matched field tracking, bubbles, waves in complex media, seabed interactions, ocean acoustic inversion, and mathematical issues in underwater acoustics.
Theoretical and computational acoustics 2005
by
Shang, Er-Chang
,
Teng, Yu-Chiung
,
Tolstoy, Alexandra
in
Acoustic models
,
Acoustic models -- Congresses
,
Sound-waves
2006
This volume represents the latest advances in the field of theoretical and computational acoustics. The coverage includes results in the areas of underwater acoustics, seismics, scattering, inversion, genetic algorithms, reverberation, IFEM, Radon transforms, wavelet statistics, PE modeling, and Gaussian beams.
Theoretical and computational acoustics 2003
2004
The ICTCA conference provides an interdisciplinary forum for active researchers in academia and industry who are of varying backgrounds to discuss the state-of-the-art developments and results in theoretical and computational acoustics and related topics. The papers presented at the meeting cover acoustical problems of common interest across disciplines and their accurate mathematical and numerical modeling. This volume collects papers that were presented at the sixth meeting. The subjects include geophysics, scattering and diffraction, the parabolic equation (with special sessions in honor of Dr Fred Tappert), seismic exploration, boundary element methods, visualization, oil industry applications, shallow water acoustics, matched field tracking, bubbles, waves in complex media, seabed interactions, ocean acoustic inversion, and mathematical issues in underwater acoustics.
Noise and vibration analysis
2010,2011
Noise and Vibration Analysis is a complete and practical guide that combines both signal processing and modal analysis theory with their practical application in noise and vibration analysis. It provides an invaluable, integrated guide for practicing engineers as well as a suitable introduction for students new to the topic of noise and vibration. Taking a practical learning approach, Brandt includes exercises that allow the content to be developed in an academic course framework or as supplementary material for private and further study. Addresses the theory and application of signal analysis procedures as they are applied in modern instruments and software for noise and vibration analysis Features numerous line diagrams and illustrations Accompanied by a web site at www.wiley.com/go/brandt with numerous MATLAB tools and examples. Noise and Vibration Analysis provides an excellent resource for researchers and engineers from automotive, aerospace, mechanical, or electronics industries who work with experimental or analytical vibration analysis and/or acoustics. It will also appeal to graduate students enrolled in vibration analysis, experimental structural dynamics, or applied signal analysis courses.
Chiral Anomaly from Strain-Induced Gauge Fields in Dirac and Weyl Semimetals
by
Chen, Anffany
,
Pikulin, D. I.
,
Franz, M.
in
Coaxial cables
,
Diameters
,
Electromagnetic fields
2016
Dirac and Weyl semimetals form an ideal platform for testing ideas developed in high-energy physics to describe massless relativistic particles. One such quintessentially field-theoretic idea of the chiral anomaly already resulted in the prediction and subsequent observation of the pronounced negative magnetoresistance in these novel materials for parallel electric and magnetic fields. Here, we predict that the chiral anomaly occurs—and has experimentally observable consequences—when real electromagnetic fields E and B are replaced by strain-induced pseudo-electromagnetic fields e and b . For example, a uniform pseudomagnetic field b is generated when a Weyl semimetal nanowire is put under torsion. In accordance with the chiral anomaly equation, we predict a negative contribution to the wire resistance proportional to the square of the torsion strength. Remarkably, left- and right-moving chiral modes are then spatially segregated to the bulk and surface of the wire forming a “topological coaxial cable.” This produces hydrodynamic flow with potentially very long relaxation time. Another effect we predict is the ultrasonic attenuation and electromagnetic emission due to a time-periodic mechanical deformation causing pseudoelectric field e . These novel manifestations of the chiral anomaly are most striking in the semimetals with a single pair of Weyl nodes but also occur in Dirac semimetals such as Cd3As2 and Na3Bi and Weyl semimetals with unbroken time-reversal symmetry.
Journal Article