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Wave Motion
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Download or read book Wave Motion written by J. Billingham and published by Cambridge University Press. This book was released on 2001-01-22 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as an acquaintance with fluid mechanics, elasticity and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.
Book Synopsis Wave Motion in Elastic Solids by : Karl F. Graff
Download or read book Wave Motion in Elastic Solids written by Karl F. Graff and published by Courier Corporation. This book was released on 2012-04-26 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained coverage of topics ranging from elementary theory of waves and vibrations in strings to three-dimensional theory of waves in thick plates. Over 100 problems.
Download or read book Waves written by Charles Alfred Coulson and published by . This book was released on 1961 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability and Wave Motion in Porous Media by : Brian Straughan
Download or read book Stability and Wave Motion in Porous Media written by Brian Straughan and published by Springer Science & Business Media. This book was released on 2008-12-10 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes several tractable theories for fluid flow in porous media. The important mathematical quations about structural stability and spatial decay are address. Thermal convection and stability of other flows in porous media are covered. A chapter is devoted to the problem of stability of flow in a fluid overlying a porous layer. Nonlinear wave motion in porous media is analysed. In particular, waves in an elastic body with voids are investigated while acoustic waves in porous media are also analysed in some detail. A chapter is enclosed on efficient numerical methods for solving eigenvalue problems which occur in stability problems for flows in porous media. Brian Straughan is a professor at the Department of Mathemactical Sciences at Durham University, United Kingdom.
Book Synopsis Wave Propagation by : James H. Williams, Jr.
Download or read book Wave Propagation written by James H. Williams, Jr. and published by MIT Press. This book was released on 2019-12-31 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engineering-oriented introduction to wave propagation by an award-winning MIT professor, with highly accessible expositions and mathematical details—many classical but others not heretofore published. A wave is a traveling disturbance or oscillation—intentional or unintentional—that usually transfers energy without a net displacement of the medium in which the energy travels. Wave propagation is any of the means by which a wave travels. This book offers an engineering-oriented introduction to wave propagation that focuses on wave propagation in one-dimensional models that are anchored by the classical wave equation. The text is written in a style that is highly accessible to undergraduates, featuring extended and repetitive expositions and displaying and explaining mathematical and physical details—many classical but others not heretofore published. The formulations are devised to provide analytical foundations for studying more advanced topics of wave propagation. After a precalculus summary of rudimentary wave propagation and an introduction of the classical wave equation, the book presents solutions for the models of systems that are dimensionally infinite, semi-infinite, and finite. Chapters typically begin with a vignette based on some aspect of wave propagation, drawing on a diverse range of topics. The book provides more than two hundred end-of-chapter problems (supplying answers to most problems requiring a numerical result or brief analytical expression). Appendixes cover equations of motion for strings, rods, and circular shafts; shear beams; and electric transmission lines.
Book Synopsis Wave Motion as Inquiry by : Fernando Espinoza
Download or read book Wave Motion as Inquiry written by Fernando Espinoza and published by Springer. This book was released on 2016-12-07 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook on the physics of wave motion in optics and acoustics avoids presenting the topic abstractly in order to emphasize real-world examples. While providing the needed scientific context, Dr. Espinoza also relies on students' own experience to guide their learning. The book's exercises and labs strongly emphasize this inquiry-based approach. A strength of inquiry-based courses is that the students maintain a higher level of engagement when they are studying a topic that they have an internal motivation to know, rather than solely following the directives of a professor. "Wave Motion" takes those threads of engagement and interest and weaves them into a coherent picture of wave phenomena. It demystifies key components of life around us--in music, in technology, and indeed in everything we perceive--even for those without a strong math background, who might otherwise have trouble approaching the subject matter.
Book Synopsis Understanding Waves and Wave Motion by : Randall McPartland
Download or read book Understanding Waves and Wave Motion written by Randall McPartland and published by Cavendish Square Publishing, LLC. This book was released on 2014-12-15 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves and Wave Motion are the keys to communication but they can also help us understand the movement of storms and of planets.
Book Synopsis Mathematics of Wave Propagation by : Julian L. Davis
Download or read book Mathematics of Wave Propagation written by Julian L. Davis and published by Princeton University Press. This book was released on 2021-01-12 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Earthquakes, a plucked string, ocean waves crashing on the beach, the sound waves that allow us to recognize known voices. Waves are everywhere, and the propagation and classical properties of these apparently disparate phenomena can be described by the same mathematical methods: variational calculus, characteristics theory, and caustics. Taking a medium-by-medium approach, Julian Davis explains the mathematics needed to understand wave propagation in inviscid and viscous fluids, elastic solids, viscoelastic solids, and thermoelastic media, including hyperbolic partial differential equations and characteristics theory, which makes possible geometric solutions to nonlinear wave problems. The result is a clear and unified treatment of wave propagation that makes a diverse body of mathematics accessible to engineers, physicists, and applied mathematicians engaged in research on elasticity, aerodynamics, and fluid mechanics. This book will particularly appeal to those working across specializations and those who seek the truly interdisciplinary understanding necessary to fully grasp waves and their behavior. By proceeding from concrete phenomena (e.g., the Doppler effect, the motion of sinusoidal waves, energy dissipation in viscous fluids, thermal stress) rather than abstract mathematical principles, Davis also creates a one-stop reference that will be prized by students of continuum mechanics and by mathematicians needing information on the physics of waves.
Book Synopsis Elements of Wave Motion, Relating to Sound and Light by : Peter Smith Michie
Download or read book Elements of Wave Motion, Relating to Sound and Light written by Peter Smith Michie and published by . This book was released on 1891 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Elementary Text-book of Physics: Wave motion by : Robert Wallace Stewart
Download or read book An Elementary Text-book of Physics: Wave motion written by Robert Wallace Stewart and published by . This book was released on 1909 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Wave Fields in Real Media by : José M. Carcione
Download or read book Wave Fields in Real Media written by José M. Carcione and published by Elsevier. This book was released on 2014-12-08 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by the internationally renowned José M. Carcione, Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media examines the differences between an ideal and a real description of wave propagation, starting with the introduction of relevant stress-strain relations. The combination of this relation and the equations of momentum conservation lead to the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous media. For each rheology, a plane-wave analysis is performed in order to understand the physics of wave propagation. This book contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics, and material science - including many branches of acoustics of fluids and solids - may also find this text useful. New to this edition: This new edition presents the fundamentals of wave propagation in Anisotropic, Anelastic, Porous Media while also incorporating the latest research from the past 7 years, including that of the author. The author presents all the equations and concepts necessary to understand the physics of wave propagation. These equations form the basis for modeling and inversion of seismic and electromagnetic data. Additionally, demonstrations are given, so the book can be used to teach post-graduate courses. Addition of new and revised content is approximately 30%. Examines the fundamentals of wave propagation in anisotropic, anelastic and porous media Presents all equations and concepts necessary to understand the physics of wave propagation, with examples Emphasizes geophysics, particularly, seismic exploration for hydrocarbon reservoirs, which is essential for exploration and production of oil
Book Synopsis Introduction to Wave Propagation in Nonlinear Fluids and Solids by : D. S. Drumheller
Download or read book Introduction to Wave Propagation in Nonlinear Fluids and Solids written by D. S. Drumheller and published by Cambridge University Press. This book was released on 1998-02-13 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves occur widely in nature and have innumerable commercial uses. Pressure waves are responsible for the transmission of speech, bow waves created by meteors can virtually ignite the earth's atmosphere, ultrasonic waves are used for medical imaging, and shock waves are used for the synthesis of new materials. This book provides a thorough, modern introduction to the study of linear and nonlinear waves. Beginning with fundamental concepts of motion, the book goes on to discuss linear and nonlinear mechanical waves, thermodynamics, and constitutive models. It covers gases, liquids, and solids as integral parts of the subject. Among the important areas of research and application are impact analysis, shock wave research, explosive detonation, nonlinear acoustics, and hypersonic aerodynamics. Graduate students, as well as professional engineers and applied physicists, will value this clear, comprehensive introduction to the study of wave phenomena.
Book Synopsis Wave Motion, Intelligent Structures And Nonlinear Mechanics by : Ardeshir Guran
Download or read book Wave Motion, Intelligent Structures And Nonlinear Mechanics written by Ardeshir Guran and published by World Scientific. This book was released on 1995-06-09 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers on the subject of applied system dynamics and control written by experts in this field. It offers the reader a sampling of exciting research areas in three fast-growing branches: (i) Wave Motion (ii) Intelligent Structures (iii) Nonlinear Mechanics. The topics covered include flow instability, nonlinear mode localization autoparametric systems with pendula, and geometric stiffening in multibody dynamics. Mathematical methods include perturbation methods, modern control theory, nonlinear neural nets, and resonance scattering theory of Überall-Ripoche-Maze. Applications include sound-induced structural vibrations, fiber acoustic waveguides, vibration suppression of structures, linear control of gyroscopic systems, and nonlinear control of distributed systems.This book shows how applied system dynamics and control is currently being utilized and investigated. It will be of interest to engineers, applied mathematicians and physicists.
Book Synopsis Mechanics and Wave Motion by : Vinod Kumar Singh
Download or read book Mechanics and Wave Motion written by Vinod Kumar Singh and published by . This book was released on 2013-06-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides thorough coverage of the basic concepts of mechanics and wave motion. Broadly it covers the laws of motion and inertial frames, conservation laws, the dynamics of rigid bodies, elasticity, gravitation, simple harmonic motion, damped harmonic oscillator, forced harmonic oscillator, and wave motion.
Book Synopsis The Energy Method, Stability, and Nonlinear Convection by : Brian Straughan
Download or read book The Energy Method, Stability, and Nonlinear Convection written by Brian Straughan and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six new chapters (14-19) deal with topics of current interest: multi-component convection diffusion, convection in a compressible fluid, convenction with temperature dependent viscosity and thermal conductivity, penetrative convection, nonlinear stability in ocean circulation models, and numerical solution of eigenvalue problems.
Book Synopsis Wave Propagation in Structures by : James F. Doyle
Download or read book Wave Propagation in Structures written by James F. Doyle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces spectral analysis as a means of investigating wave propagation and transient oscillations in structures. After developing the foundations of spectral analysis and the fast Fourier transform algorithm, the book provides a thorough treatment of waves in rods, beams, and plates, and introduces a novel matrix method for analysing complex structures as a collection of waveguides. The presentation includes an introduction to higher-order structural theories, the results of many experimental studies, practical applications, and source-code listings for many programs. An extensive bibliography provides an entry to the research literature. Intended as a textbook for graduate students of aerospace or mechanical engineering, the book will also be of interest to practising engineers in these and related disciplines.
Book Synopsis MECHANICS AND WAVE MOTION by : JR MARWAH
Download or read book MECHANICS AND WAVE MOTION written by JR MARWAH and published by Ram Prasad Publications(R.P.H.). This book was released on with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Frame of Reference and Laws of Motion 2. Conservative and Non-conservative Forces — Conservation of Energy 3. Conservation of Linear and Angular Momentum 4. Collisions and Scattering Cross-Section 5. Dynamics of a Rigid Body 6. Elasticity 7. Central Forces 8. Simple Harmonle Motion 9. Superposition of Simple Harmonic Motions 10. Damped Harmonic Oscillator 11. Driven Harmonic Oscillator and Resonance 12. Wave Motion
