Nonlinear Acoustics Through Problems And Examples

Author : Sn Gurbatov CM Hedberg Ov Rudenko
Publisher : Unknown
Page : 0 pages
File Size : 49,9 Mb
Release : 2010-03
Category : Education
ISBN : 1426905440

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Nonlinear Acoustics Through Problems and Examples by Sn Gurbatov CM Hedberg Ov Rudenko Pdf

The fundamentals of nonlinear acoustics are presented in form of problems followed by solutions, explanations and answers. As distinct from existing textbooks, this book of problems not only helps the reader to become familiar with nonlinear wave processes and the methods of their description, but contributes to mastering calculation procedures and obtaining numerical estimates of the most significant parameters. Thereby, skills are acquired which are indispensable for carrying out original scientific research. This book can be useful to undergraduate and postgraduate students and researchers working in the field of nonlinear wave physics and acoustics.

Author : B.O. Enflo,C.M. Hedberg
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 45,8 Mb
Release : 2006-04-11
Category : Science
ISBN : 9780306484193

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Theory of Nonlinear Acoustics in Fluids by B.O. Enflo,C.M. Hedberg Pdf

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.

Author : Sergey Nikolaevich Gurbatov,Oleg Vladimirovich Rudenko,A.I. Saichev
Publisher : Springer Science & Business Media
Page : 477 pages
File Size : 42,7 Mb
Release : 2012-03-23
Category : Science
ISBN : 9783642236174

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Waves and Structures in Nonlinear Nondispersive Media by Sergey Nikolaevich Gurbatov,Oleg Vladimirovich Rudenko,A.I. Saichev Pdf

"Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics” is devoted completely to nonlinear structures. The general theory is given here in parallel with mathematical models. Many concrete examples illustrate the general analysis of Part I. Part II is devoted to applications to nonlinear acoustics, including specific nonlinear models and exact solutions, physical mechanisms of nonlinearity, sawtooth-shaped wave propagation, self-action phenomena, nonlinear resonances and engineering application (medicine, nondestructive testing, geophysics, etc.). This book is designed for graduate and postgraduate students studying the theory of nonlinear waves of various physical nature. It may also be useful as a handbook for engineers and researchers who encounter the necessity of taking nonlinear wave effects into account of their work. Dr. Gurbatov S.N. is the head of Department, and Vice Rector for Research of Nizhny Novgorod State University. Dr. Rudenko O.V. is the Full member of Russian Academy of Sciences, the head of Department at Moscow University and Professor at BTH (Sweden). Dr. Saichev A.I. is the Professor at the Faculty of Radiophysics of Nizhny Novgorod State University, Professor of ETH Zürich.

Author : K. Naugolnykh,L. Ostrovsky
Publisher : Cambridge University Press
Page : 316 pages
File Size : 42,5 Mb
Release : 1998-05-28
Category : Mathematics
ISBN : 052139984X

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Nonlinear Wave Processes in Acoustics by K. Naugolnykh,L. Ostrovsky Pdf

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.

Author : O.V. Rudenko,Stepan Ivanovich Solui︠a︡n,Stepan Ivanovich Solui͡an
Publisher : Springer
Page : 296 pages
File Size : 52,9 Mb
Release : 1977
Category : Technology & Engineering
ISBN : UCAL:B3740293

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Theoretical Foundations of Nonlinear Acoustics by O.V. Rudenko,Stepan Ivanovich Solui︠a︡n,Stepan Ivanovich Solui͡an Pdf

Author : Robert Thomas Beyer
Publisher : Van Nostrand Reinhold Company
Page : 408 pages
File Size : 55,7 Mb
Release : 1984
Category : Fluids
ISBN : UCAL:B4532797

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Nonlinear Acoustics in Fluids by Robert Thomas Beyer Pdf

New York : Van Nostrand Reinhold, c1984.

Author : Robert Thomas Beyer,United States. Naval Sea Systems Command
Publisher : Unknown
Page : 416 pages
File Size : 45,8 Mb
Release : 1974
Category : Nonlinear acoustics
ISBN : MSU:31293012252163

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Nonlinear Acoustics by Robert Thomas Beyer,United States. Naval Sea Systems Command Pdf

Author : K.A. Naugol'nikh,L.A. Ostrovsky
Publisher : Springer Science & Business Media
Page : 528 pages
File Size : 45,5 Mb
Release : 1997-05-08
Category : Science
ISBN : 1563963388

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Nonlinear Acoustics by K.A. Naugol'nikh,L.A. Ostrovsky Pdf

Market: Acousticians, research scientists, instructors, and graduate and advanced undergraduate students in nonlinear acoustics. This book contains a collection of papers by authors of the Former Soviet Union. The topics covered are media with "structural" nonlinearities, optical generation of sound, acoustic beat-wave interactions, acoustic shock waves, thermal self-focusing of acoustic waves, solitons, statistical nonlinear acoustics, media with relaxation and oscillatory degrees of freedom, parametric arrays, and fluid cavitation.

Author : K. Naugolnykh,L. Ostrovsky
Publisher : Cambridge University Press
Page : 310 pages
File Size : 49,8 Mb
Release : 1998-05-28
Category : Mathematics
ISBN : 052139080X

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Nonlinear Wave Processes in Acoustics by K. Naugolnykh,L. Ostrovsky Pdf

The investigation of nonlinear phenomena in acoustics has a rich history stretching back to the mechanical physical sciences in the nineteenth century. The study of nonlinear phenomena, such as explosions and jet engines, prompted the sharp growth of interest in nonlinear acoustic phenomena. In this book, the authors consider models of different "acoustic" media as well as equations and behavior of finite-amplitude waves. The authors also consider the effects of nonlinearity, dissipation, dispersion, and for two- and three-dimensional problems, reflection and diffraction on the evolution and interaction of acoustic beams. This book will be of interest not only to specialists in acoustics, but also to a wide audience of mathematicians, physicists, and engineers working on nonlinear waves in various physical systems.

Author : Robert Thomas Beyer
Publisher : Unknown
Page : 424 pages
File Size : 44,9 Mb
Release : 1975
Category : Nonlinear acoustics
ISBN : MINN:31951000534054H

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Nonlinear Acoustics by Robert Thomas Beyer Pdf

CONTENTS: Introduction -- The Nature of Nonlinear Acoustics, Historical Aspects; Principles of Linear Acoustics; Some Sources of Nonlinear Oscillations; Nonlinear Propagation in Fluids; Shock Waves; Aeroacoustics; Radiation Pressure; Streaming; Cavitation; Nonlinear Interaction of Sound Waves; Applications of Nonlinear Interactions. The Parametric Array; Nonlinear Propagation in Solids.

Author : Fu-Kuo Chang
Publisher : DEStech Publications, Inc
Page : 1434 pages
File Size : 48,5 Mb
Release : 2013-09-26
Category : Technology & Engineering
ISBN : 9781605951157

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Structural Health Monitoring 2013: A Roadmap to Intelligent Structures by Fu-Kuo Chang Pdf

Original research on SHM sensors, quantification strategies, system integration and control for a wide range of engineered materials New applications in robotics, machinery, as well as military aircraft, railroads, highways, bridges, pipelines, stadiums, tunnels, space exploration and energy production Continuing a critical book series on structural health monitoring (SHM), this two-volume set (with full-text searchable CD-ROM) offers, as its subtitle implies, a guide to greater integration and control of SHM systems. Specifically, the volumes contain new research that will enable readers to more efficiently link sensor detection, diagnostics/quantification, overall system functionality, and automated, e.g., robotic, control, thus further closing the loop from inherent signal-based damage detection to responsive real-time maintenance and repair. SHM performance is demonstrated in monitoring the behavior of composites, metals, concrete, polymers and selected nanomaterials in a wide array of surroundings, including harsh environments, under extreme (e.g., seismic) loading and in space. New information on smart sensors and network optimization is enhanced by novel statistical and model-based methods for signal processing and data quantification. A special feature of the book is its explanation of emerging control technologies. Research in these volumes was initially presented in September 2013 at the 9th International Workshop on Structural Health Monitoring (IWSHM), held at Stanford University and sponsored by the Air Force Office of Scientific Research, the Army Research Laboratory, and the Office of Naval Research.

Author : Halvor Hobæk
Publisher : Unknown
Page : 701 pages
File Size : 46,5 Mb
Release : 1993
Category : TECHNOLOGY & ENGINEERING
ISBN : 9814535494

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Advances in Nonlinear Acoustics by Halvor Hobæk Pdf

Author : Veniamin Nazarov,Andrey Radostin
Publisher : John Wiley & Sons
Page : 263 pages
File Size : 48,9 Mb
Release : 2015-01-27
Category : Science
ISBN : 9781118456088

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Nonlinear Acoustic Waves in Micro-inhomogeneous Solids by Veniamin Nazarov,Andrey Radostin Pdf

Nonlinear Acoustic Waves in Micro-inhomogeneous Solids covers the broad and dynamic branch of nonlinear acoustics, presenting a wide variety of different phenomena from both experimental and theoretical perspectives. The introductory chapters, written in the style of graduate-level textbook, present a review of the main achievements of classic nonlinear acoustics of homogeneous media. This enables readers to gain insight into nonlinear wave processes in homogeneous and micro-inhomogeneous solids and compare it within the framework of the book. The subsequent eight chapters covering: Physical models and mechanisms of the structure nonlinearity of micro-inhomogeneous media with cracks and cavities; Elastic waves in media with strong acoustic nonlinearity; Wave processes in micro-inhomogeneous media with hysteretic nonlinearity; Wave processes in nonlinear micro-inhomogeneous media with relaxation; Wave processes in the polycrystalline solids with dissipative and elastic nonlinearity caused by dislocations; Experimental studies of the nonlinear acoustic phenomena in polycrystalline rocks and metals; Experimental studies of nonlinear acoustic phenomena in granular media; and Nonlinear phenomena in seismic waves are dedicated to the theoretical and experimental research of nonlinear processes, caused by longitudinal elastic waves propagation and interaction in the micro-inhomogeneous media with a strong acoustical nonlinearity of different types (elastic, hysteretic, bimodular, elastic quadratic and non-elastic). This valuable monograph is intended for graduate students and researchers in applied physics, mechanical engineering, and applied mathematics, as well as those working in a wide spectrum of disciplines in materials science.

Author : Mark F. Hamilton,David T. Blackstock
Publisher : Unknown
Page : 455 pages
File Size : 49,9 Mb
Release : 1998
Category : Science
ISBN : 0123218608

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Nonlinear Acoustics by Mark F. Hamilton,David T. Blackstock Pdf

This introductory text on the theory and applications of nonlinear acoustics, develops the theory on nonlinear acoustics from physical principles. The first half of the book develops the physical concepts, mathematical models and classical methods of solution that form the theoretical framework of nonlinear acoustics. Benchmark experiences are described and many applications are discussed in detail. The second half covers special topics and applications, both theory and experiment.

Author : Vladimir M. Manuilov,Alexander S. Mishchenko,Vladimir E. Nazaikinskii,Bert-Wolfgang Schulze,Weiping Zhang
Publisher : Springer Nature
Page : 349 pages
File Size : 48,5 Mb
Release : 2022-01-21
Category : Mathematics
ISBN : 9783030373269

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Differential Equations on Manifolds and Mathematical Physics by Vladimir M. Manuilov,Alexander S. Mishchenko,Vladimir E. Nazaikinskii,Bert-Wolfgang Schulze,Weiping Zhang Pdf

This is a volume originating from the Conference on Partial Differential Equations and Applications, which was held in Moscow in November 2018 in memory of professor Boris Sternin and attracted more than a hundred participants from eighteen countries. The conference was mainly dedicated to partial differential equations on manifolds and their applications in mathematical physics, geometry, topology, and complex analysis. The volume contains selected contributions by leading experts in these fields and presents the current state of the art in several areas of PDE. It will be of interest to researchers and graduate students specializing in partial differential equations, mathematical physics, topology, geometry, and their applications. The readers will benefit from the interplay between these various areas of mathematics.