Download or read book Wave Motion in One Dimensional Periodic Waveguides written by Lavesh Rughunanan and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis concerns the development of a general theory for the wave behaviour in one-dimensional, periodic, mono-coupled waveguides. The theory is also extended to waveguides where the effects of near-field waves incident on the periodic discontinuity are negligible (quasi-mono-coupled). Systems of coupled waveguides are then considered with locking and veering in general one-dimensional periodic waveguides demonstrated, and the general solution for two periodically coupled beam systems derived. Solutions for the propagation constants in quasi-mono-coupled waveguides are derived in terms of the phase of the transmission coefficient and another phase variable. Expressions for the bounds of band-gaps, attenuation and bandwidth are presented in terms of these variables. The mechanism of band-gap formation is proposed in terms of transmission at the discontinuity, with a discussion on the mechanisms of Bragg-scattering and local-resonance. Results show that Bragg-scattering and localresonance are both described by the transmission coefficient phase, and are special cases of the more general wave interaction at a periodic discontinuity. The behaviour of periodically coupled one-dimensional waveguides is investigated. Locking and veering is demonstrated for the case of periodic structures where, for cases where there are two or more branches of the dispersion curves, as frequency increases, two propagation constants lock, forming complex conjugate pairs when the uncoupled propagation constants intersect with slopes of opposite sign. Veering, where the coupled propagation constants are repelled from each other, occurring when the slopes intersect with the same sign. The case of two periodically coupled Euler-Bernoulli beams is discussed. The dispersion relation is derived and analysed with expressions for the bounds, bandwidth and nature of band-gaps presented. For a given frequency, if the intersections of the uncoupled propagation constants with the Brillouin Zone occur on the same side of the Brillouin Zone, then all solutions are propagating and no band-gap forms. If they intersect at opposite ends, all solutions are evanescent and a band-gap is guaranteed to form. A parametric study demonstrates that to maximise the bandwidth of this band-gap, one beam must be heavier and less stiff than the other. Experimental measurements of propagation constants for a beam with periodic masses and two beams periodically coupled with springs were taken, demonstrating good agreement between experiment and theory.
Download or read book Fundamentals of Waves and Oscillations written by K. U. Ingard and published by Cambridge University Press. This book was released on 1988-07-28 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, addressed primarily to physics and engineering students, is a comprehensive introduction to waves and oscillations, both mechanical and electromagnetic. Elementary aspects of matter waves are also considered. One objective is to illustrate the physics involved in the description and analysis of waves through a wide range of examples, from purely mechanical and purely electromagnetic to coupled electro-mechanical waves, such as plasma oscillations and hydromagnetic waves. In this process, the use of complex amplitudes in the mathematical analysis is illuminated and encouraged to make tractable a wider range of problems than is ordinarily considered in an introductory text. General concepts and wave phenomena such as wave energy and momentum, interference, diffraction, scattering, dispersion, and the Doppler effect are illustrated by numerous examples and demonstrations. Among the special topics covered are waves on periodic structures and in solids, wave guides, a detailed analysis of light scattering from thermal fluctuations of a liquid surface, and feedback instabilities. Important ideas and equations are displayed in boxes for easy reference, and there are numerous examples throughout the text and exercises at the end of every chapter. Undergraduates and graduates should find this an indispensable account of this central subject in science and engineering.
Download or read book Wave Propagation in Linear and Nonlinear Periodic Media written by Francesco Romeo and published by Springer Science & Business Media. This book was released on 2013-07-30 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves and defect modes in structures media.- Piezoelectric superlattices and shunted periodic arrays as tunable periodic structures and metamaterials.- Topology optimization.- Map-based approaches for periodic structures.- Methodologies for nonlinear periodic media. The contributions in this volume present both the theoretical background and an overview of the state-of-the art in wave propagation in linear and nonlinear periodic media in a consistent format. They combine the material issued from a variety of engineering applications, spanning a wide range of length scale, characterized by structures and materials, both man-made and naturally occurring, featuring geometry, micro-structural and/or materials properties that vary periodically in space, including periodically stiffened plates, shells and beam-like as well as bladed disc assemblies, phononic metamaterials, photonic crystals and ordered granular media. Along with linear models and applications, analytical methodologies for analyzing and exploiting complex dynamical phenomena arising in nonlinear periodic systems are also presented.
Download or read book Topics in Modal Analysis II Volume 8 written by Randall Allemang and published by Springer. This book was released on 2014-05-05 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This eighth volume of eight from the IMAC - XXXII Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Linear Systems Substructure Modelling Adaptive Structures Experimental Techniques Analytical Methods Damage Detection Damping of Materials & Members Modal Parameter Identification Modal Testing Methods System Identification Active Control Modal Parameter Estimation Processing Modal Data
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.
Download or read book Acoustic Waves in Periodic Structures Metamaterials and Porous Media written by Noé Jiménez and published by Springer Nature. This book was released on 2021-11-03 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book delivers a comprehensive and up-to-date treatment of practical applications of metamaterials, structured media, and conventional porous materials. With increasing levels of urbanization, a growing demand for motorized transport, and inefficient urban planning, environmental noise exposure is rapidly becoming a pressing societal and health concern. Phononic and sonic crystals, acoustic metamaterials, and metasurfaces can revolutionize noise and vibration control and, in many cases, replace traditional porous materials for these applications. In this collection of contributed chapters, a group of international researchers reviews the essentials of acoustic wave propagation in metamaterials and porous absorbers with viscothermal losses, as well as the most recent advances in the design of acoustic metamaterial absorbers. The book features a detailed theoretical introduction describing commonly used modelling techniques such as plane wave expansion, multiple scattering theory, and the transfer matrix method. The following chapters give a detailed consideration of acoustic wave propagation in viscothermal fluids and porous media, and the extension of this theory to non-local models for fluid saturated metamaterials, along with a description of the relevant numerical methods. Finally, the book reviews a range of practical industrial applications, making it especially attractive as a white book targeted at the building, automotive, and aeronautic industries.
Download or read book Mathematical Theory of Wave Motion written by G. R. Baldock and published by . This book was released on 1981 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamic Equivalent Modeling of Acoustic Metamaterials written by Nansha Gao and published by Springer Nature. This book was released on 2022-10-17 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book derives physical models from basic principles, studies the effect of equivalent models on the dynamic characteristics of phononic crystals and acoustic metamaterials, and analyzes the physical mechanisms behind vibration and noise reduction. It first summarizes the research status of vibration and noise reduction, and research progress in phononic crystals and acoustic metamaterials. Based on this, one-dimensional periodic beam, two-dimensional thin plate with circular hole, and corresponding gradient structures are introduced, and their dynamic characteristics are discussed in detail. Therefore, different equivalent methods for different models are proposed through theoretical analysis, modal analysis and transmission rate analysis. Finally, a Helmholtz-type acoustic metamaterial, i.e. a multi-layer slotted tube acoustic metamaterial, is studied. Aiming at the low-frequency band gap of this model, a theoretical model for solving the inverse problem of acousto-electric analogue equivalent is proposed, and the effect of structural parameters on the low-frequency band gap is studied using this equivalent model. This book closely revolves around how to conduct equivalent research on artificially fabricated periodic structures. The methods and conclusions presented in this book provide a new theoretical basis for the application of artificial woven periodic structures in the field of low-frequency vibration reduction and noise reduction and are also an innovation in the discipline of vibration and noise control. This book is suitable for undergraduate students, graduate students and teachers in vibration and noise majors in universities, and can also provide references for engineering and technical personnel in related fields.
Download or read book Guided Wave Optics written by Boris Malomed and published by MDPI. This book was released on 2018-03-23 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Guided-Wave Optics" that was published in Applied Sciences
Download or read book Advances in One Dimensional Wave Mechanics written by Zhuangqi Cao and published by . This book was released on 2013 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Advances in One-Dimensional Wave Mechanics provides a comprehensive description of the motion of microscopic particles in one-dimensional, arbitrary-shaped potentials based on the analogy between Quantum Mechanics and Electromagnetism. Utilizing a deeper understanding of the wave nature of matter, this book introduces the concept of the scattered sub-waves and a series of new analytical results using the Analytical Transfer Matrix (ATM) method. This work will be useful for graduate students majoring in physics, mainly in basic quantum theory, as well as for academic researchers exploring electromagnetism, particle physics, and wave mechanics and for experts in the field of optical waveguide and integrated optics."--
Download or read book Recent Trends in Wave Mechanics and Vibrations written by Zuzana Dimitrovová and published by Springer Nature. This book was released on 2022-10-06 with total page 1217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers select proceedings of the 10th International Conference on Wave Mechanics and Vibrations (WMVC), held in Lisbon, Portugal, on July 4-6, 2022. It covers recent developments and cutting-edge methods in wave mechanics and vibrations applied to a wide range of engineering problems. It presents analytical and computational studies in structural mechanics, seismology and earthquake engineering, mechanical engineering, aeronautics, robotics and nuclear engineering among others. The volume will be of interest for students, researchers, and professionals interested in the wide-ranging applications of wave mechanics and vibrations.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Progress in Optics written by and published by Elsevier. This book was released on 2009-01-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the fourty-seven years that have gone by since the first volume of Progress in Optics was published, optics has become one of the most dynamic fields of science. The volumes in this series which have appeared up to now contain more than 300 review articles by distinguished research workers, which have become permanent records for many important developments. Backscattering and Anderson localization of light Advances in oliton manipulation in optical lattices Fundamental quantum noise in optical amplification Invisibility cloaks
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1971 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wave Propagation and Time Reversal in Randomly Layered Media written by Jean-Pierre Fouque and published by Springer Science & Business Media. This book was released on 2007-06-30 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: The content of this book is multidisciplinary by nature. It uses mathematical tools from the theories of probability and stochastic processes, partial differential equations, and asymptotic analysis, combined with the physics of wave propagation and modeling of time reversal experiments. It is addressed to a wide audience of graduate students and researchers interested in the intriguing phenomena related to waves propagating in random media. At the end of each chapter there is a section of notes where the authors give references and additional comments on the various results presented in the chapter.
Download or read book Linear Elastic Waves written by John G. Harris and published by Cambridge University Press. This book was released on 2001-08-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced level textbook on wave propagation and scattering directed at applied mathematicians, seismologists, and engineers.
Download or read book Confined Electrons and Photons written by Elias Burstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 900 pages. Available in PDF, EPUB and Kindle. Book excerpt: The optical properties of semiconductors have played an important role since the identification of semiconductors as "small" bandgap materials in the thinies, due both to their fundamental interest as a class of solids baving specific optical propenies and to their many important applications. On the former aspect we can cite the fundamental edge absorption and its assignment to direct or indirect transitions, many-body effects as revealed by exciton formation and photoconductivity. On the latter aspect, large-scale applications sucb as LEDs and lasers, photovoltaic converters, photodetectors, electro-optics and non-linear optic devices, come to mind. The eighties saw a revitalization of the whole field due to the advent of heterostructures of lower-dimensionality, mainly two-dimensional quantum wells, which through their enhanced photon-matter interaction yielded new devices with unsurpassed performance. Although many of the basic phenomena were evidenced through the seventies, it was this impact on applications which in turn led to such a massive investment in fabrication tools, thanks to which many new structures and materials were studied, yielding funher advances in fundamental physics.
