Share

Wave Propagation in Linear and Nonlinear Periodic Media

2013-07-30 Technology & Engineering
Download Wave Propagation in Linear and Nonlinear Periodic Media PDF Online Free

Author :
Release : 2013-07-30
Genre : Technology & Engineering
Kind : eBook
Book Rating : 091/5 ( reviews)

GET EBOOK


Book Synopsis Wave Propagation in Linear and Nonlinear Periodic Media by : Francesco Romeo

Download or read book Wave Propagation in Linear and Nonlinear Periodic Media written by Francesco Romeo. This book was released on 2013-07-30. 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.​

Linear And Nonlinear Wave Propagation

2021-04-16 Science
Download Linear And Nonlinear Wave Propagation PDF Online Free

Author :
Release : 2021-04-16
Genre : Science
Kind : eBook
Book Rating : 656/5 ( reviews)

GET EBOOK


Book Synopsis Linear And Nonlinear Wave Propagation by : Spencer P Kuo

Download or read book Linear And Nonlinear Wave Propagation written by Spencer P Kuo. This book was released on 2021-04-16. Available in PDF, EPUB and Kindle. Book excerpt: Waves are essential phenomena in most scientific and engineering disciplines, such as electromagnetism and optics, and different mechanics including fluid, solid, structural, quantum, etc. They appear in linear and nonlinear systems. Some can be observed directly and others are not. The features of the waves are usually described by solutions to either linear or nonlinear partial differential equations, which are fundamental to the students and researchers.Generic equations, describing wave and pulse propagation in linear and nonlinear systems, are introduced and analyzed as initial/boundary value problems. These systems cover the general properties of non-dispersive and dispersive, uniform and non-uniform, with/without dissipations. Methods of analyses are introduced and illustrated with analytical solutions. Wave-wave and wave-particle interactions ascribed to the nonlinearity of media (such as plasma) are discussed in the final chapter.This interdisciplinary textbook is essential reading for anyone in above mentioned disciplines. It was prepared to provide students with an understanding of waves and methods of solving wave propagation problems. The presentation is self-contained and should be read without difficulty by those who have adequate preparation in classic mechanics. The selection of topics and the focus given to each provide essential materials for a lecturer to cover the bases in a linear/nonlinear wave course.

Wave Propagation in Nonlinear Periodic Structures

2010 Nonlinear theories
Download Wave Propagation in Nonlinear Periodic Structures PDF Online Free

Author :
Release : 2010
Genre : Nonlinear theories
Kind : eBook
Book Rating : /5 ( reviews)

GET EBOOK


Book Synopsis Wave Propagation in Nonlinear Periodic Structures by : Raj K. Narisetti

Download or read book Wave Propagation in Nonlinear Periodic Structures written by Raj K. Narisetti. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: A periodic structure consists of spatially repeating unit cells. From man-made multi-span bridges to naturally occurring atomic lattices, periodic structures are ubiquitous. The periodicity can be exploited to generate frequency bands within which elastic wave propagation is impeded. A limitation to the linear periodic structure is that the filtering properties depend only on the structural design and periodicity which implies that the dispersion characteristics are fixed unless the overall structure or the periodicity is altered. : The current research focuses on wave propagation in nonlinear periodic structures to explore tunability in filtering properties such as bandgaps, cut-off frequencies and response directionality. The first part of the research documents amplitude-dependent dispersion properties of weakly nonlinear periodic media through a general perturbation approach. The perturbation approach allows closed-form estimation of the effects of weak nonlinearities on wave propagation. Variation in bandstructure and bandgaps lead to tunable filtering and directional behavior. The latter is due to anisotropy in nonlinear interaction that generates low response regions, or "dead zones," within the structure. The general perturbation approach developed has also been applied to evaluate dispersion in a complex nonlinear periodic structure which is discretized using Finite Elements. The second part of the research focuses on wave dispersion in strongly nonlinear periodic structures which includes pre-compressed granular media as an example. Plane wave dispersion is studied through the harmonic balance method and it is shown that the cut-off frequencies and bandgaps vary significantly with wave amplitude. Acoustic wave beaming phenomenon is also observed in pre-compressed two-dimensional hexagonally packed granular media. Numerical simulations of wave propagation in finite lattices also demonstrated amplitude-dependent bandstructures and directional behavior so far observed.

Semiclassical Methods for High Frequency Wave Propagation in Periodic Media

2016
Download Semiclassical Methods for High Frequency Wave Propagation in Periodic Media PDF Online Free

Author :
Release : 2016
Genre :
Kind : eBook
Book Rating : 974/5 ( reviews)

GET EBOOK


Book Synopsis Semiclassical Methods for High Frequency Wave Propagation in Periodic Media by : Ricardo A. Delgadillo

Download or read book Semiclassical Methods for High Frequency Wave Propagation in Periodic Media written by Ricardo A. Delgadillo. This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt: Lastly, we will propose a time-splitting FGA-based artificial boundary conditions for solving the one-dimensional nonlinear Schrodinger equation (NLS) on an unbounded domain. The NLS will be split into two parts, the linear and nonlinear parts. For the linear part we will use the following absorbing boundary strategy: eliminate Gaussian functions whose centers are too distant to a fixed domain.

Nonlinear Waves In Bounded Media: The Mathematics Of Resonance

2017-01-18 Technology & Engineering
Download Nonlinear Waves In Bounded Media: The Mathematics Of Resonance PDF Online Free

Author :
Release : 2017-01-18
Genre : Technology & Engineering
Kind : eBook
Book Rating : 354/5 ( reviews)

GET EBOOK


Book Synopsis Nonlinear Waves In Bounded Media: The Mathematics Of Resonance by : Brian R Seymour

Download or read book Nonlinear Waves In Bounded Media: The Mathematics Of Resonance written by Brian R Seymour. This book was released on 2017-01-18. Available in PDF, EPUB and Kindle. Book excerpt: This unique book aims to treat a class of nonlinear waves that are reflected from the boundaries of media of finite extent. It involves both standing (unforced) waves and resonant oscillations due to external periodic forcing. The waves are both hyperbolic and dispersive. To achieve this aim, the book develops the necessary understanding of linear waves and the mathematical techniques of nonlinear waves before dealing with nonlinear waves in bounded media. The examples used come mainly from gas dynamics, water waves and viscoelastic waves.

You may also like...