Download or read book Nonlinear Acoustics Through Problems and Examples written by Sn Gurbatov CM Hedberg Ov Rudenko and published by . This book was released on 2010-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Theory of Nonlinear Acoustics in Fluids written by B.O. Enflo and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nonlinear Wave Processes in Acoustics written by K. Naugolnykh and published by Cambridge University Press. This book was released on 1998-05-28 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Waves and Structures in Nonlinear Nondispersive Media written by Sergey Nikolaevich Gurbatov and published by Springer Science & Business Media. This book was released on 2012-03-23 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book Understanding Acoustics written by Steven L. Garrett and published by Springer. This book was released on 2017-02-24 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a unified approach to acoustics and vibration suitable for use in advanced undergraduate and first-year graduate courses on vibration and fluids. The book includes thorough treatment of vibration of harmonic oscillators, coupled oscillators, isotropic elasticity, and waves in solids including the use of resonance techniques for determination of elastic moduli. Drawing on 35 years of experience teaching introductory graduate acoustics at the Naval Postgraduate School and Penn State, the author presents a hydrodynamic approach to the acoustics of sound in fluids that provides a uniform methodology for analysis of lumped-element systems and wave propagation that can incorporate attenuation mechanisms and complex media. This view provides a consistent and reliable approach that can be extended with confidence to more complex fluids and future applications. Understanding Acoustics opens with a mathematical introduction that includes graphing and statistical uncertainty, followed by five chapters on vibration and elastic waves that provide important results and highlight modern applications while introducing analytical techniques that are revisited in the study of waves in fluids covered in Part II. A unified approach to waves in fluids (i.e., liquids and gases) is based on a mastery of the hydrodynamic equations. Part III demonstrates extensions of this view to nonlinear acoustics. Engaging and practical, this book is a must-read for graduate students in acoustics and vibration as well as active researchers interested in a novel approach to the material.
Download or read book Nonlinear Acoustics written by Mark F. Hamilton and published by . This book was released on 1998 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Theoretical Foundations of Nonlinear Acoustics written by O.V. Rudenko and published by Springer. This book was released on 1977 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Acoustics written by Robert Thomas Beyer and published by . This book was released on 1974 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Acoustics in Fluids written by Robert Thomas Beyer and published by Van Nostrand Reinhold Company. This book was released on 1984 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: New York : Van Nostrand Reinhold, c1984.
Download or read book Nonlinear Acoustic Waves in Micro inhomogeneous Solids written by Veniamin Nazarov and published by John Wiley & Sons. This book was released on 2014-11-17 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Problems in Nonlinear Acoustics Pulsed Finite Amplitude Sound Beams Nonlinear Propagation of Sound in Layered Media Time Domain Solutions for Focused Sound Beams Focusing of Sound with an Ellipsoidal Mirror and Modeling Finite Amplitude Propagation in Waveguides written by and published by . This book was released on 1991 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Five projects are discussed in this annual summary report, all of which involve basic research in physical acoustics, mainly nonlinear acoustics. (1) Pulsed Finite Amplitude Sound Beams are investigated numerically with a time domain computer algorithm, and experiments are underway to study nonlinear self- demodulation. (2) Nonlinear Propagation of Sound in Layered Media involves studies of shallow water above a penetrable bottom (both theory and experiment) and the SOFAR channel (only theory). (3) Time Domain Solutions for Axial Pressures in Focused Sound Beams is a theoretical comparison of three different models. (4) Focusing of Sound with an Ellipsoidal Mirror is a theoretical study of the reflected field, typically short pulses, along the axis of the mirror. (5) Modeling Finite Amplitude, Propagation in Waveguides with a Nonlinear Parabolic Wave Equation is a new project that involves both theory and experiment.
Download or read book Nonlinear Acoustics written by Robert Thomas Beyer and published by . This book was released on 1975 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Problems in nonlinear acoustics written by and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Nonlinear Acoustics written by Halvor Hobæk and published by . This book was released on 1993 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Wave Processes in Acoustics written by K. Naugolnykh and published by Cambridge University Press. This book was released on 1998-05-28 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Research on Nonlinear Acoustics written by C. M. Ablow and published by . This book was released on 1967 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: The possibility that nonlinear acoustic flows may be represented by spherical progressive waves (in the sense of Courant and Friedrichs) was examined and found to be unlikely. An iterative finite-difference method for the calculation of continuous periodic spherical flows was developed together with a FORTRAN code, SPHERE, that implements the method. Sample calculations have shown that the code is effective but slow, and several ways for reducing the computation time are suggested. Convergence difficulties in one of the iterative loops were overcome by the use of a semi-iterative underrelaxation scheme. When applied to linear systems, such semi-iterative schemes were found to be equivalent to a class of summability methods that may be regarded as generalizations of Euler summation. (Author).
Download or read book Nonlinear Acoustics Part 1 Physical Phenomena Exact Basic Equations and Problems in Formulation and Solution of Approximate Equations written by Sam Hanish and published by . This book was released on 1974 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic equations of classical hydrodynamics of fluids, together with constitutive relations of the medium, have been reviewed. By perturbation expansions the nonlinear equations of acoustic wave propagation currently in use were derived using the acoustic Mach number and Strouhal number as measures of scale (method of Gol'dberg). Several derivations of Burgers'-type equations have been presented, together with a review of solution methods introduced by Hopf and Cole and of the method of characteristics. The classic problem of a piston in a tube was reviewed, with the theoretical extensions of Blackstock. The complexity of all methods led to a search for new approaches. A promising development is Whitham's theory of nonlinear partial differential equations. Elements of this theory are discussed. It is concluded that theoretical difficulties in nonlinear acoustics remain to be solved.
