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Group Properties Of The Acoustic Differential Equation
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Book Synopsis Group Properties Of The Acoustic Differential Equation by : L V Poluyanov
Download or read book Group Properties Of The Acoustic Differential Equation written by L V Poluyanov and published by CRC Press. This book was released on 1995-05-24 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an addition to the existing literature about the symmetrical properties of sound waves. The authors clarify the algebraic and analytical nature of the dynamic acoustic problem. Operator equations which are typical for linear systems and the more general Lie method are considered, which can be applied even to nonlinear problems. The inf
Book Synopsis Group Properties Of The Acoustic Differential Equation by : L V Poluyanov
Download or read book Group Properties Of The Acoustic Differential Equation written by L V Poluyanov and published by CRC Press. This book was released on 1995-05-24 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an addition to the existing literature about the symmetrical properties of sound waves. The authors clarify the algebraic and analytical nature of the dynamic acoustic problem. Operator equations which are typical for linear systems and the more general Lie method are considered, which can be applied even to nonlinear problems. The information obtained allows the reader to construct different types of analytical solutions of the different acoustic equation. The acoustic differential equation describes sound waves in elastic media. If the media is non-homogeneous then the acoustic equation is generally very complicated and its exact solutions or analytical solutions may be considered as rare. This volume applies Lie algebra and Lie group techniques to separate independent variables and obtains exact analytical solutions. Special attention is paid to homogeneous and non-homogeneous media with different symmetry properties. The full wave acoustic equation is considered as well as the so-called phase acoustic equation which arises in the short-wave approximation.
Author :Gregory S. Chirikjian Publisher :Springer Science & Business Media ISBN 13 :0817648038 Total Pages :397 pages Book Rating :4.8/5 (176 download)
Book Synopsis Stochastic Models, Information Theory, and Lie Groups, Volume 1 by : Gregory S. Chirikjian
Download or read book Stochastic Models, Information Theory, and Lie Groups, Volume 1 written by Gregory S. Chirikjian and published by Springer Science & Business Media. This book was released on 2009-09-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.
Download or read book Sci-tech News written by and published by . This book was released on 1996 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Advances in Mathematics and Technology by : Serge Dos Santos
Download or read book Recent Advances in Mathematics and Technology written by Serge Dos Santos and published by Springer Nature. This book was released on 2020-02-21 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume are based on talks given at the inaugural Technology, Engineering and Mathematics Conference (TEM18), held from March 26 to 27, 2018 in Kenitra, Morocco. Advances in mathematical modeling, optimization, numerical analysis, signal processing, and computer science are presented by leading experts in these fields. There is a particular emphasis on stochastic analysis, machine learning algorithms, and deep learning models, which are highly relevant to the state-of-the-art in augmented, virtual, and mixed realities. Topics include: Harmonic analysis Big data analytics and applications Biomathematics Computer engineering and applications Economics and financial engineering Medical imaging and non-destructive testing This volume is ideal for engineers and researchers working in technological fields that need to be modeled and simulated using the tools of modern mathematics.
Book Synopsis Gauge Invariance Approach to Acoustic Fields by : Woon Siong Gan
Download or read book Gauge Invariance Approach to Acoustic Fields written by Woon Siong Gan and published by Springer. This book was released on 2019-07-31 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the symmetry properties of acoustic fields and describes the gauge invariance approach, which can be used to reveal those properties. Symmetry is the key theoretical framework of metamaterials, as has been demonstrated by the successful fabrication of acoustical metamaterials. The book first provides the necessary theoretical background, which includes the covariant derivative, the vector potential, and invariance in coordinate transformation. This is followed by descriptions of global gauge invariance (isotropy), and of local gauge invariance (anisotropy). Sections on time reversal symmetry, reflection invariance, and invariance of finite amplitude waves round out the coverage.
Book Synopsis Nonlinear Acoustics - Fundamentals and Applications by : B.O. Enflo
Download or read book Nonlinear Acoustics - Fundamentals and Applications written by B.O. Enflo and published by American Institute of Physics. This book was released on 2008-06-25 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1770 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Group Properties of a One-dimensional System of Equations for Wave Propagation in Various Media by : K. A. Ames
Download or read book Group Properties of a One-dimensional System of Equations for Wave Propagation in Various Media written by K. A. Ames and published by . This book was released on 1988 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis FAA Thesaurus of Technical Descriptors by : United States. Federal Aviation Administration
Download or read book FAA Thesaurus of Technical Descriptors written by United States. Federal Aviation Administration and published by . This book was released on 1969 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Principles of Modern Acoustics by : George Warner Swenson
Download or read book Principles of Modern Acoustics written by George Warner Swenson and published by New York : Van Nostrand. This book was released on 1953 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis U.S. Government Research Reports by :
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1964 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Understanding Acoustics by : Steven L. Garrett
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.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Ocean Acoustics by : Finn B. Jensen
Download or read book Computational Ocean Acoustics written by Finn B. Jensen and published by Springer Science & Business Media. This book was released on 2000-03-23 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Many practical suggestions and tips; the examples are meaningful and the illustrations are effective....Destined to become a classic reference that any serious practitioner of ocean acoustics cannot afford to ignore." Revue de livre Authored by four internationally renowned scientists, this volume covers 20 years of progress in computational ocean acoustics and presents the latest numerical techniques used in solving the wave equation in heterogeneous fluid-solid media. The authors detail various computational schemes and illustrate many of the fundamental propagation features via 2-D color displays.
Book Synopsis Physical Acoustics V10 by : Warren P. Mason
Download or read book Physical Acoustics V10 written by Warren P. Mason and published by Elsevier. This book was released on 2012-12-02 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physical Acoustics: Principles and Methods, Volume X, is a five-chapter text that covers the principles and methods of generation of physical acoustics. The first chapter provides the essential results obtained concerning acoustic surface waves on curved surfaces and relates them to the corresponding plane surface waves. This chapter also presents a classification of surface and lateral waves on flat surfaces along with their properties. The second chapter describes a group of acoustic wave problems that are particularly suitable for study by means of Schlieren visualization. The third chapter deals with the production of ultrasonic waves by direct electromagnetic generation, while type II superconductors, which are useful for superconducting magnets with strong magnetic fields and with high current densities, are investigated in the fourth chapter. The fifth chapter discusses the principles of hologram and its application to very short length electromagnetic waves known as microwaves and to acoustic waves of various wavelengths.
Book Synopsis Computational Acoustics: Ocean-acoustic models and supercomputing by : Ding Lee
Download or read book Computational Acoustics: Ocean-acoustic models and supercomputing written by Ding Lee and published by North Holland. This book was released on 1990 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 3-volume set contains contributions from different areas of Computational Acoustics. Covered are: - computational methods to solve acoustics problems (including aero-acoustics, seismo-acoustics, and ocean-acoustics) and, in general, wave propagation problems - computational aspects of the interface between aero-, seismo- and ocean-acoustics - new solution techniques that have been made possible with the advent of new computer architectures such as parallel computers, super (pipeline) computers, hypercubes, etc.
