Theoretical Foundations Of Nonlinear Acoustics

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Theoretical Foundations Of Nonlinear Acoustics
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Author : O.V. Rudenko
language : en
Publisher: Springer
Release Date : 1977
Theoretical Foundations Of Nonlinear Acoustics written by O.V. Rudenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.
Theoretical Foundations Of Nonlinear Acoustics
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Author : OV. RUDENKO
language : en
Publisher:
Release Date : 1977
Theoretical Foundations Of Nonlinear Acoustics written by OV. RUDENKO and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Theoretical Foundations Of Nonlinear Acoustics
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Author : O.V. Rudenko
language : en
Publisher: Springer
Release Date : 2014-05-14
Theoretical Foundations Of Nonlinear Acoustics written by O.V. Rudenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Technology & Engineering categories.
Theory Of Nonlinear Acoustics In Fluids
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Author : B.O. Enflo
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
Theory Of Nonlinear Acoustics In Fluids written by B.O. Enflo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Science categories.
The aim of the present book is to present theoretical nonlinear aco- tics with equal stress on physical and mathematical foundations. We have attempted explicit and detailed accounting for the physical p- nomena treated in the book, as well as their modelling, and the f- mulation and solution of the mathematical models. The nonlinear acoustic phenomena described in the book are chosen to give phy- cally interesting illustrations of the mathematical theory. As active researchers in the mathematical theory of nonlinear acoustics we have found that there is a need for a coherent account of this theory from a unified point of view, covering both the phenomena studied and mathematical techniques developed in the last few decades. The most ambitious existing book on the subject of theoretical nonlinear acoustics is ”Theoretical Foundations of Nonlinear Aco- tics” by O. V. Rudenko and S. I. Soluyan (Plenum, New York, 1977). This book contains a variety of applications mainly described by Bu- ers’ equation or its generalizations. Still adhering to the subject - scribed in the title of the book of Rudenko and Soluyan, we attempt to include applications and techniques developed after the appearance of, or not included in, this book. Examples of such applications are resonators, shockwaves from supersonic projectiles and travelling of multifrequency waves. Examples of such techniques are derivation of exact solutions of Burgers’ equation, travelling wave solutions of Bu- ers’ equation in non-planar geometries and analytical techniques for the nonlinear acoustic beam (KZK) equation.
Theory Of Nonlinear Acoustics In Fluids
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Author : B.O. Enflo
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-05-31
Theory Of Nonlinear Acoustics In Fluids written by B.O. Enflo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-31 with Science categories.
The aim of the present book is to present theoretical nonlinear aco- tics with equal stress on physical and mathematical foundations. We have attempted explicit and detailed accounting for the physical p- nomena treated in the book, as well as their modelling, and the f- mulation and solution of the mathematical models. The nonlinear acoustic phenomena described in the book are chosen to give phy- cally interesting illustrations of the mathematical theory. As active researchers in the mathematical theory of nonlinear acoustics we have found that there is a need for a coherent account of this theory from a unified point of view, covering both the phenomena studied and mathematical techniques developed in the last few decades. The most ambitious existing book on the subject of theoretical nonlinear acoustics is ”Theoretical Foundations of Nonlinear Aco- tics” by O. V. Rudenko and S. I. Soluyan (Plenum, New York, 1977). This book contains a variety of applications mainly described by Bu- ers’ equation or its generalizations. Still adhering to the subject - scribed in the title of the book of Rudenko and Soluyan, we attempt to include applications and techniques developed after the appearance of, or not included in, this book. Examples of such applications are resonators, shockwaves from supersonic projectiles and travelling of multifrequency waves. Examples of such techniques are derivation of exact solutions of Burgers’ equation, travelling wave solutions of Bu- ers’ equation in non-planar geometries and analytical techniques for the nonlinear acoustic beam (KZK) equation.
Nonlinear Acoustics
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Author : Mark F. Hamilton
language : en
Publisher: Springer Nature
Release Date : 2024-11-15
Nonlinear Acoustics written by Mark F. Hamilton and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-15 with Science categories.
This open access book is an introductory text on the theory of nonlinear acoustics authored by experts on their respective topics. It is written at a level appropriate for a graduate course on nonlinear acoustics, and it also serves as a useful resource for scientists and engineers. Consistent notation is employed for the principal symbols, and there is extensive cross-referencing between chapters. Chapters 1 through 8 develop the physical concepts, mathematical models, and classical methods of solution that form the theoretical framework for nonlinear acoustics. These chapters, or selected portions, form an appropriate core for an introductory course. While the emphasis is on nonlinear sound waves in fluids, Chapter 9 provides an introduction to nonlinear elastic waves in isotropic solids. Chapters 10 through 15 cover applications and additional methodologies encountered in nonlinear acoustics that include perturbation and numerical methods, ray theory for inhomogeneous moving media, statistical and parametric phenomena, and biomedical applications. The book is relevant to studies of therapeutic ultrasound, blast waves and jet noise, nondestructive testing, parametric array loudspeakers, particle manipulation with acoustic radiation force, and other applications involving nonlinear acoustics. This is an open access book.
Advances In Nonlinear Acoustics Proceedings Of The 13th International Symposium On Nonlinear Acoustics
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Author : H Hoback
language : en
Publisher: World Scientific
Release Date : 1993-06-18
Advances In Nonlinear Acoustics Proceedings Of The 13th International Symposium On Nonlinear Acoustics written by H Hoback and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-18 with categories.
The large range of applications of acoustical methods and techniques in modern society demands a thorough exploration of the nonlinear properties of sound wave propagation in different media and environments, and of the effects caused by nonlinear interaction of sound and medium. The great range of interesting physical phenomena which occur in nonlinear acoustics helps stimulate the extensive research in the field.
Nonlinear Wave Processes In Acoustics
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Author : K. Naugolnykh
language : en
Publisher: Cambridge University Press
Release Date : 1998-05-28
Nonlinear Wave Processes In Acoustics written by K. Naugolnykh and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-28 with Mathematics categories.
This text considers models of different "acoustic" media as well as equations and behavior of finite-amplitude waves. It also considers the effects of nonlinearity, dissipation, dispersion, and for two- and three-dimensional problems, reflection and diffraction on the evolution and interaction of acoustic beams.
Nonlinear Acoustics Fundamentals And Applications
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Author : B.O. Enflo
language : en
Publisher: American Institute of Physics
Release Date : 2008-06-25
Nonlinear Acoustics Fundamentals And Applications written by B.O. Enflo and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-25 with Mathematics categories.
These are the proceedings of the 18th International Symposium on Nonlinear Acoustics (ISNA).The ISNA series, held once every three years, is the premier symposium devoted to the field of nonlinear acoustics. Nonlinear acoustical phenomena appear when the sound amplitude is sufficiently large. Then the sound wave is deformed and shocks and sound of new frequencies are created. Earthquake and sonic booms are undesired nonlinear acoustical phenomena; nondestructive testing and cancer sound beam therapy are useful nonlinear acoustical applications. This book is unique in bringing into relief the common physical foundation of so different phenomena and applications.
Nonlinear Acoustical Imaging
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Author : Woon Siong Gan
language : en
Publisher: Springer Nature
Release Date : 2021-11-16
Nonlinear Acoustical Imaging written by Woon Siong Gan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-16 with Science categories.
This book first introduced the theoretical foundation of nonlinear acoustics such as the basic equations of nonlinear acoustics followed by a statistical mechanics approach to nonlinear acoustics, then a curvilinear spacetime approach to nonlinear acoustics, then a gauge invariance approach to nonlinear acoustics, and application of chaos theory to nonlinear acoustics. Various formats of nonlinear acoustical imaging are given such as B/A nonlinear parameter acoustical imaging, fractal imaging, harmonics imaging, nonclassical nonlinear acoustical imaging, and modulation method in nonlinear acoustical imaging with their applications.