Mathematical Techniques For Wave Interaction With Flexible Structures

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Mathematical Techniques For Wave Interaction With Flexible Structures

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Author : Trilochan Sahoo
language : en
Publisher: CRC Press
Release Date : 2012-10-24

Mathematical Techniques For Wave Interaction With Flexible Structures written by Trilochan Sahoo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-24 with Technology & Engineering categories.

Mathematical Techniques for Wave Interaction with Flexible Structures is a thoughtful compilation of the various mathematical techniques used to deal with wave structure interaction problems. The book emphasizes unique determination of the solution for a class of physical problems associated with Laplace- or Helmholtz-type equations satisfying higher order boundary conditions with the applications of the theory of ordinary and partial differential equations, Fourier analysis, and more. Features: Provides a focused mathematical treatment for gravity wave interaction with floating and submerged flexible structures Highlights solution methods for a special class of boundary value problems in wave structure interaction Introduces and expands upon differential equations and the fundamentals of wave structure interaction problems This is an ideal handbook for naval architects, ocean engineers, and geophysicists dealing with the design of floating and/or flexible marine structures. The book’s underlying mathematical tools can be easily extended to deal with physical problems in the area of acoustics, electromagnetic waves, wave propagation in elastic media, and solid‐state physics. Designed for both the classroom and independent study, Mathematical Techniques for Wave Interaction with Flexible Structures enables readers to appreciate and apply the mathematical tools of wave structure interaction research to their own work.

Handbook Of Mathematical Techniques For Wave Structure Interactions

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Author : C.M. Linton
language : en
Publisher: CRC Press
Release Date : 2001-02-26

Handbook Of Mathematical Techniques For Wave Structure Interactions written by C.M. Linton and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-26 with Mathematics categories.

Although a wide range of mathematical techniques can apply to solving problems involving the interaction of waves with structures, few texts discuss those techniques within that context-most often they are presented without reference to any applications. Handbook of Mathematical Techniques for Wave/Structure Interactions brings together some of the

Mathematical Modelling Of Wave Interaction With Vertical Structures

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Author : Gary Stuart Bennett
language : en
Publisher:
Release Date : 1993

Mathematical Modelling Of Wave Interaction With Vertical Structures written by Gary Stuart Bennett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.

Advances In Wave Interaction And Turbulence

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Author : Paul A. Milewski
language : en
Publisher: American Mathematical Soc.
Release Date : 2001-01-01

Advances In Wave Interaction And Turbulence written by Paul A. Milewski and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Mathematics categories.

We often think of our natural environment as being composed of very many interacting particles, undergoing individual chaotic motions, of which only very coarse averages are perceptible at scales natural to us. However, we could as well think of the world as being made out of individual waves. This is so not just because the distinction between waves and particles becomes rather blurred at the atomic level, but also because even phenomena at much larger scales are better describedin terms of waves rather than of particles: It is rare in both fluids and solids to observe energy being carried from one region of space to another by a given set of material particles; much more often, this transfer occurs through chains of particles, neither of them moving much, but eachcommunicating with the next, and hence creating these immaterial objects we call waves. Waves occur at many spatial and temporal scales. Many of these waves have small enough amplitude that they can be approximately described by linear theory. However, the joint effect of large sets of waves is governed by nonlinear interactions which are responsible for huge cascades of energy among very disparate scales. Understanding these energy transfers is crucial in order to determine the response oflarge systems, such as the atmosphere and the ocean, to external forcings and dissipation mechanisms which act on scales decades apart. The field of wave turbulence attempts to understand the average behavior of large ensembles of waves, subjected to forcing and dissipation at opposite ends of theirspectrum. It does so by studying individual mechanisms for energy transfer, such as resonant triads and quartets, and attempting to draw from them effects that should not survive averaging. This book presents the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Dispersive Wave Turbulence held at Mt. Holyoke College (MA). It drew together a group of researchers from many corners of the world, in the context of a perceived renaissance of the field, driven by heated debate aboutthe fundamental mechanism of energy transfer among large sets of waves, as well as by novel applications-and old ones revisited-to the understanding of the natural world. These proceedings reflect the spirit that permeated the conference, that of friendly scientific disagreement and genuine wonderat the rich phenomenology of waves.

Mathematical Techniques For Water Waves

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Author : B. N. Mandal
language : en
Publisher: WIT Press (UK)
Release Date : 1997

Mathematical Techniques For Water Waves written by B. N. Mandal and has been published by WIT Press (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Fluid mechanics categories.

The mathematical techniques used to handle various water wave problems are varied and fascinating. This book highlights a number of these techniques in connection with investigations of some classes of water wave problems by leading researchers in this field. The first eight chapters discuss linearised theory while the last two cover nonlinear analysis. This book will be an invaluable source of reference for advanced mathematical work in water wave theory.

Wave Propagation In Infinite Domains

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Author : Lutz Lehmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-24

Wave Propagation In Infinite Domains written by Lutz Lehmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-24 with Science categories.

This book presents theoretical fundamentals and applications of a new numerical model that has the ability to simulate wave propagation. Coverage examines linear waves in ideal fluids and elastic domains. In addition, the book includes a numerical simulation of wave propagation based on scalar and vector wave equations, as well as fluid-structure interaction and soil-structure interaction.

Linear Water Waves

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Author : Nikolaĭ Germanovich Kuznet︠s︡ov
language : en
Publisher: Cambridge University Press
Release Date : 2002-07-11

Linear Water Waves written by Nikolaĭ Germanovich Kuznet︠s︡ov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-11 with Mathematics categories.

This book gives a self-contained and up-to-date account of mathematical results in the linear theory of water waves. The study of waves has many applications, including the prediction of behavior of floating bodies (ships, submarines, tension-leg platforms etc.), the calculation of wave-making resistance in naval architecture, and the description of wave patterns over bottom topography in geophysical hydrodynamics. The first section deals with time-harmonic waves. Three linear boundary value problems serve as the approximate mathematical models for these types of water waves. The next section uses a plethora of mathematical techniques in the investigation of these three problems. The techniques used in the book include integral equations based on Green's functions, various inequalities between the kinetic and potential energy and integral identities which are indispensable for proving the uniqueness theorems. The so-called inverse procedure is applied to constructing examples of non-uniqueness, usually referred to as 'trapped nodes.'

Wave Propagation Observation And Control In 1 D Flexible Multi Structures

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Author : René Dáger
language : en
Publisher: Springer
Release Date : 2009-09-02

Wave Propagation Observation And Control In 1 D Flexible Multi Structures written by René Dáger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-02 with Science categories.

This book is devoted to analyze the vibrations of simpli?ed 1? d models of multi-body structures consisting of a ?nite number of ?exible strings d- tributed along planar graphs. We?rstdiscussissueson existence and uniquenessof solutions that can be solved by standard methods (energy arguments, semigroup theory, separation ofvariables,transposition,...).Thenweanalyzehowsolutionspropagatealong the graph as the time evolves, addressing the problem of the observation of waves. Roughly, the question of observability can be formulated as follows: Can we obtain complete information on the vibrations by making measu- ments in one single extreme of the network? This formulation is relevant both in the context of control and inverse problems. UsingtheFourierdevelopmentofsolutionsandtechniquesofNonharmonic Fourier Analysis, we give spectral conditions that guarantee the observability property to hold in any time larger than twice the total length of the network in a suitable Hilbert space that can be characterized in terms of Fourier series by means of properly chosen weights. When the network graph is a tree, we characterize these weights in terms of the eigenvalues of the corresponding elliptic problem. The resulting weighted observability inequality allows id- tifying the observable energy in Sobolev terms in some particular cases. That is the case, for instance, when the network is star-shaped and the ratios of the lengths of its strings are algebraic irrational numbers.

Wave Phenomena

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Author : Willy Dörfler
language : en
Publisher: Springer Nature
Release Date : 2023-03-30

Wave Phenomena written by Willy Dörfler and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-30 with Mathematics categories.

This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach. The research on wave-type problems is a fascinating and emerging field in mathematical research with many challenging applications in sciences and engineering. Profound investigations on waves require a strong interaction of several mathematical disciplines including functional analysis, partial differential equations, mathematical modeling, mathematical physics, numerical analysis, and scientific computing. The goal of this book is to present a comprehensive introduction to the research on wave phenomena. Starting with basic models for acoustic, elastic, and electro-magnetic waves, topics such as the existence of solutions for linear and some nonlinear material laws, efficient discretizations and solution methods in space and time, and the application to inverse parameter identification problems are covered. The aim of this book is to intertwine analysis and numerical mathematics for wave-type problems promoting thus cooperative research projects in this field.

Advanced Numerical Modelling Of Wave Structure Interaction

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Author : Taylor & Francis Group
language : en
Publisher:
Release Date : 2022-11-15

Advanced Numerical Modelling Of Wave Structure Interaction written by Taylor & Francis Group and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-15 with categories.

This book contains contributions from experts in the field of numerical modelling for coastal engineering. Chapters present state-of-the-art numerical approaches in fluid structure interaction ranging from wave-breakwater interaction to the complex scouring that occurs around coastal structures.