Wave Propagation in Infinite Domains

Wave Propagation in Infinite Domains PDF Author: Lutz Lehmann
Publisher: Springer Science & Business Media
ISBN: 3540711090
Category : Science
Languages : en
Pages : 185

Book Description
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.

Dynamic and Transient Infinite Elements

Dynamic and Transient Infinite Elements PDF Author: Chongbin Zhao
Publisher: Springer Science & Business Media
ISBN: 3642008461
Category : Science
Languages : en
Pages : 270

Book Description
This book presents state-of-the-art theory and the application of dynamic and transient infinite elements for simulating the far fields of infinite domains involved in many of scientific and engineering problems.

Wave Propagation and Diffraction

Wave Propagation and Diffraction PDF Author: Igor T. Selezov
Publisher: Springer
ISBN: 9811049238
Category : Science
Languages : en
Pages : 241

Book Description
This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method. Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling the refraction of surf ace gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves. Lastly, it provides insights into directions for further developing the wave diffraction theory.

Rational Transmitting Boundaries for Time-Domain Analysis of Dam-Reservoir Interaction

Rational Transmitting Boundaries for Time-Domain Analysis of Dam-Reservoir Interaction PDF Author: Benedikt Weber
Publisher: Birkhäuser
ISBN: 303487751X
Category : Technology & Engineering
Languages : en
Pages : 273

Book Description
Most existing arch dams have been designed for seismic loading by static methods involving the use of seismic coefficients. Although there are no known examples of arch dams which have been seriously damaged by earthquakes, the need for more realistic seismic analyses is now well recognized, not only for new dams but especially in the context of the safety evaluation of existing dams. Fortunately, with the finite element method, engineers have a powerful tool for modeling the complex geometry and the nonlinear material behavior of a dam. However, there is still a major complication in the analysis procedure, namely the interaction of the dam with the reservoir and with the foundation during an earthquake. Interaction is a wave propagation problem involving transmitting boundaries. The State of the Art in engineering practice is to neglect wave propagation by modeling the water as incompressible and the foundation as massless. More advanced analysis methods using compressible water and foundation with mass have been available for some time. However, these methods are restricted to linear models, because they work in the frequency domain. On the other hand, there are also advanced nonlinear models for dams, but they can only be used in the time domain, usually with simple transmitting boundaries. In this report, which is based on an a doctoral thesis, rigorous transmitting boundaries in the time domain are developed which permit combining compressible water with n- linear dam behavior. The new numerical model is based on a systems-theory approach.

Wave Propagation for Train-Induced Vibrations

Wave Propagation for Train-Induced Vibrations PDF Author:
Publisher:
ISBN: 9814469610
Category :
Languages : en
Pages :

Book Description


Experimental Research in Earthquake Engineering

Experimental Research in Earthquake Engineering PDF Author: Fabio Taucer
Publisher: Springer
ISBN: 3319101366
Category : Science
Languages : en
Pages : 614

Book Description
In this volume, top seismic experts and researchers from Europe and around the world, including the George E. Brown, Jr. Network for Earthquake Engineering Simulation (NEES) in the USA, present the most recent outcome of their work in experimental testing, as well as the results of the transnational access activities of external researchers who have used Europe's seven largest and most advanced seismic testing facilities in the framework of the Seismic Engineering Research Infrastructures for European Synergies (SERIES) Project financed by the European Commission in its 7th Framework Programme (2007-2013). This includes EU’s largest reaction wall facility, EU's four largest shaking table laboratories and its two major centrifuges. The work presented includes state-of-the-art research towards the seismic design, assessment and retrofitting of structures, as well as the development of innovative research toward new fundamental technologies and techniques promoting efficient and joint use of the research infrastructures. The contents of this volume demonstrate the fruits of the effort of the European Commission in supporting research in earthquake engineering.

Wave Propagation in Viscoelastic and Poroelastic Continua

Wave Propagation in Viscoelastic and Poroelastic Continua PDF Author: Martin Schanz
Publisher: Springer Science & Business Media
ISBN: 3540445757
Category : Science
Languages : en
Pages : 176

Book Description
Wave propagation is an important topic in engineering sciences, especially, in the field of solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The effect of a sharply applied, localized disturbance in a medium soon transmits or 'spreads' to other parts of the medium. These effects are familiar to everyone, e.g., transmission of sound in air, the spreading of ripples on a pond of water, or the transmission of radio waves. From all wave types in nature, here, attention is focused only on waves in solids. Thus, solely mechanical disturbances in contrast to electro-magnetic or acoustic disturbances are considered. of waves - the compression wave similar to the In solids, there are two types pressure wave in fluids and, additionally, the shear wave. Due to continual reflec tions at boundaries and propagation of waves in bounded solids after some time a steady state is reached. Depending on the influence of the inertia terms, this state is governed by a static or dynamic equilibrium in frequency domain. However, if the rate of onset of the load is high compared to the time needed to reach this steady state, wave propagation phenomena have to be considered.

Boundary Elements and other Mesh Reduction Methods XLII

Boundary Elements and other Mesh Reduction Methods XLII PDF Author: Cheng, A. H-D
Publisher: WIT Press
ISBN: 1784663417
Category : Mathematics
Languages : en
Pages : 313

Book Description
Originating from the 42nd conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM), the research presented in this book consist of high quality papers that report on advances in techniques that reduce or eliminate the type of meshes associated with such methods as finite elements or finite differences.

More Progresses in Analysis

More Progresses in Analysis PDF Author:
Publisher: World Scientific
ISBN: 9812835636
Category : Mathematics
Languages : en
Pages : 1497

Book Description
International ISAAC (International Society for Analysis, its Applications and Computation) Congresses have been held every second year since 1997. The proceedings report on a regular basis on the progresses of the field in recent years, where the most active areas in analysis, its applications and computation are covered. Plenary lectures also highlight recent results. This volume concentrates mainly on partial differential equations, but also includes function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 350 participants attending the congress, the book comprises 140 papers from 211 authors. The volume also serves for transferring personal information about the ISAAC and its members. This volume includes citations for O. Besov, V. Burenkov and R.P. Gilbert on the occasion of their anniversaries.

More Progresses in Analysis

More Progresses in Analysis PDF Author: Heinrich G. W. Begehr
Publisher: World Scientific
ISBN: 9812835628
Category : Mathematics
Languages : en
Pages : 1497

Book Description
International ISAAC (International Society for Analysis, its Applications and Computation) Congresses have been held every second year since 1997. The proceedings report on a regular basis on the progresses of the field in recent years, where the most active areas in analysis, its applications and computation are covered. Plenary lectures also highlight recent results. This volume concentrates mainly on partial differential equations, but also includes function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 350 participants attending the congress, the book comprises 140 papers from 211 authors. The volume also serves for transferring personal information about the ISAAC and its members. This volume includes citations for O Besov, V Burenkov and R P Gilbert on the occasion of their anniversaries.