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Wave Motion

Author: J. Billingham

Publisher: Cambridge University Press

Published: 2001-01-22

Total Pages:

ISBN-13: 1316583910

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.

Wave Motion in Elastic Solids

Author: Karl F. Graff

Publisher: Courier Corporation

Published: 2012-04-26

Total Pages: 688

ISBN-13: 0486139573

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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.

Stability and Wave Motion in Porous Media

Author: Brian Straughan

Publisher: Springer Science & Business Media

Published: 2008-12-10

Total Pages: 445

ISBN-13: 0387765433

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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.

Wave Propagation

Author: James H. Williams, Jr.

Publisher: MIT Press

Published: 2019-12-31

Total Pages: 449

ISBN-13: 0262039907

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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.

Waves

Author: Charles Alfred Coulson

Publisher:

Published: 1961

Total Pages: 178

ISBN-13:

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Wave Motion in Earthquake Engineering

Author: E. Kausel

Publisher: Advances in Earthquake Enginee

Published: 2000

Total Pages: 0

ISBN-13: 9781853127441

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This volume features invited contributions from researchers whose work has recently been the focus of attention in journals and at conferences.

MECHANICS AND WAVE MOTION

Author: JR MARWAH

Publisher: Ram Prasad Publications(R.P.H.)

Published:

Total Pages: 393

ISBN-13:

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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

An Elementary Text-book of Physics: Wave motion

Author: Robert Wallace Stewart

Publisher:

Published: 1909

Total Pages: 160

ISBN-13:

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Wave Motion as Inquiry

Author: Fernando Espinoza

Publisher: Springer

Published: 2016-12-07

Total Pages: 232

ISBN-13: 3319457586

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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.

Wave Motion, Intelligent Structures and Nonlinear Mechanics

Author: Ardéshir Guran

Publisher: World Scientific

Published: 1995-06-09

Total Pages: 324

ISBN-13: 981450100X

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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. Contents:Nonlinear Mode Localization and Passive Motion Confinement in Discrete and Continuous Systems (A Vakakis)Experiments and Analysis of Sound-Induced Structural Vibrations (H Überall, G Maze & J Ripoche)Theory of Fiber Acoustic Waveguides (A S Jazi)Structural Vibration Suppression Via Parametric Control Actions — Piezoelectric Materials with Real-Time Semi-Active Network (K-W Wang)A Transfer Function Method for Modeling and Control of Gyroscopic Dynamic Systems (B-G Yang)Nonlinear Control and Boundary Transition of Cantilevered Distributed Systems (H-S Tzou, D Johnson & J Liu)On Neural Networks in Identification and Control of Dynamic Systems (Minh Phan, J-N Juang & D Hyland)Autoparametric Systems with Pendula (A Tondl & R Nabergoj)A Survey of Geometric Stiffening in Multibody Dynamics Formulations (I Sharf)Flow Instability between Coaxial Rotating Cylinders with a Flexible Support (V Mehl & J Wauer) Readership: Applied mathematicians, applied physicists and mechanical engineers. keywords:Mode Localization;Sound Induced Vibration;Active Piezoelectric Materials;Transfer Function Methods;Nonlinear Control;Neural Networks;Multibody Dynamics;Flow Instability in Rotation;Fiber Acoustics;Modeling