Mechanics Of Continua And Wave Dynamics
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Mechanics Of Continua And Wave Dynamics
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Author : Leonid M. Brekhovskikh
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mechanics Of Continua And Wave Dynamics written by Leonid M. Brekhovskikh 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 2012-12-06 with Science categories.
Mechanics of Continua and Wave Dynamics is a textbook for a course on the mechanics of solids and fluids with the emphasis on wave theory. The material is presented with simplicity and clarity but also with mathematical rigor. Many wave phenomena, especially those of geophysical nature (different types of waves in the ocean, seismic waves in the earth crust, wave propagation in the atmosphere, etc.), are considered. Each subject is introduced with simple physical concepts using numerical examples and models. The treatment then goes into depth and complicated aspects are illustrated by appropriate generalizations. Numerous exercises with solutions will help students to comprehend and assimilate the ideas.
Mechanics Of Continua And Wave Dynamics
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Author : L Brekhovskikh
language : en
Publisher:
Release Date : 1985-06-01
Mechanics Of Continua And Wave Dynamics written by L Brekhovskikh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-06-01 with categories.
Wave Dynamics Of Generalized Continua
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Author : Alexander G. Bagdoev
language : en
Publisher: Springer
Release Date : 2015-09-25
Wave Dynamics Of Generalized Continua written by Alexander G. Bagdoev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-25 with Science categories.
This monograph is devoted to problems of propagation and stability of linear and nonlinear waves in continuous media with complex structure. It considers the different media, such as solid with cavities, preliminary deformed disperse medium, solid with porosity filled by the electrically conductive and non-conductive liquid, magnetoelastic, piezo-semiconductors, crystals with dislocations, composites with inclusions, an electrically conductive asymmetrical liquid, a mixture of gas with a drop liquid. The book also considers the propagation of a laser beam through a two-level medium. The presented results are based on methods of evolution and modulation equations that were developed by the authors. The book is intended for scientific and technical researchers, students and post-graduate students specializing in mechanics of continuous media, physical acoustics, and physics of the solid state.
Nonlinear Wave Dynamics Of Materials And Structures
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2020-04-22
Nonlinear Wave Dynamics Of Materials And Structures written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-22 with Technology & Engineering categories.
This book marks the 60th birthday of Prof. Vladimir Erofeev – a well-known specialist in the field of wave processes in solids, fluids, and structures. Featuring a collection of papers related to Prof. Erofeev’s contributions in the field, it presents articles on the current problems concerning the theory of nonlinear wave processes in generalized continua and structures. It also discusses a number of applications as well as various discrete and continuous dynamic models of structures and media and problems of nonlinear acoustic diagnostics.
Waves In Continuous Media
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Author : S. L. Gavrilyuk
language : en
Publisher: Springer
Release Date : 2017-01-27
Waves In Continuous Media written by S. L. Gavrilyuk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-27 with Mathematics categories.
Starting with the basic notions and facts of the mathematical theory of waves illustrated by numerous examples, exercises, and methods of solving typical problems Chapters 1 & 2 show e.g. how to recognize the hyperbolicity property, find characteristics, Riemann invariants and conservation laws for quasilinear systems of equations, construct and analyze solutions with weak or strong discontinuities, and how to investigate equations with dispersion and to construct travelling wave solutions for models reducible to nonlinear evolution equations. Chapter 3 deals with surface and internal waves in an incompressible fluid. The efficiency of mathematical methods is demonstrated on a hierarchy of approximate submodels generated from the Euler equations of homogeneous and non-homogeneous fluids. The self-contained presentations of the material is complemented by 200+ problems of different level of difficulty, numerous illustrations, and bibliographical recommendations.
Handbook Of Noise And Vibration Control
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Author : Malcolm J. Crocker
language : en
Publisher: John Wiley & Sons
Release Date : 2007-10-05
Handbook Of Noise And Vibration Control written by Malcolm J. Crocker and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-05 with Technology & Engineering categories.
Two of the most acclaimed reference works in the area of acoustics in recent years have been our Encyclopedia of Acoustics, 4 Volume set and the Handbook of Acoustics spin-off. These works, edited by Malcolm Crocker, positioned Wiley as a major player in the acoustics reference market. With our recently published revision of Beranek & Ver's Noise and Vibration Control Engineering, Wiley is a highly respected name in the acoustics business. Crocker's new handbook covers an area of great importance to engineers and designers. Noise and vibration control is one largest areas of application of the acoustics topics covered in the successful encyclopedia and handbook. It is also an area that has been under-published in recent years. Crocker has positioned this reference to cover the gamut of topics while focusing more on the applications to industrial needs. In this way the book will become the best single source of need-to-know information for the professional markets.
Vibration And Damping In Distributed Systems
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Author : Goong Chen
language : en
Publisher: CRC Press
Release Date : 1993-09-22
Vibration And Damping In Distributed Systems written by Goong Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-22 with Mathematics categories.
Vibration and Damping in Distributed Systems, Volume II discusses asymptotic methods, including equations with variable coefficients, asymptotic estimates of eigenfrequencies of membranes and plates, WKB approximations and the wave propagation method of Keller and Rubinow, which are developed and applied to scattering problems. The book provides data on the Rayleigh and max-min methods, Courant's nodal domain theorem, the numerical methods of finite-element, boundary-element and spectral types, and an asymptotic method due to Bolotin. Computer graphics are used to enhance understanding and motivate intuition concerning vibration phenomena. The book exhibits a collection of eigenmodes of membranes and plates. It illustrates special effects associated with focusing, whispering gallery and bouncing ball, as well as dynamic motion sequences of a membrane and a plate. Issues involved in experimental determination of internal damping rates and mechanisms in elastic beams are discussed.
Acoustics Of Layered Media Ii
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Author : Leonid M. Brekhovskikh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Acoustics Of Layered Media Ii written by Leonid M. Brekhovskikh 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 2013-03-14 with Science categories.
Acoustics of Layered Media II presents the theory of sound propagation and reflection of spherical waves and bounded beams in layered media. It is mathematically rigorous but at the same time care is taken that the physical usefulness in applications and the logic of the theory are not hidden. Both moving and stationary media, discretely and continuously layered, including a range-dependent environment, are treated for various types of acoustic wave sources. Detailed appendices provide further background on the mathematical methods. This second edition reflects the notable recent progress in the field of acoustic wave propagation in inhomogeneous media.
Variational And Extremum Principles In Macroscopic Systems
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Author : Stanislaw Sieniutycz
language : en
Publisher: Elsevier
Release Date : 2010-07-07
Variational And Extremum Principles In Macroscopic Systems written by Stanislaw Sieniutycz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-07 with Technology & Engineering categories.
Recent years have seen a growing trend to derive models of macroscopic phenomena encountered in the fields of engineering, physics, chemistry, ecology, self-organisation theory and econophysics from various variational or extremum principles. Through the link between the integral extremum of a functional and the local extremum of a function (explicit, for example, in the Pontryagin's maximum principle variational and extremum principles are mutually related. Thus it makes sense to consider them within a common context. The main goal of Variational and Extremum Principles in Macroscopic Systems is to collect various mathematical formulations and examples of physical reasoning that involve both basic theoretical aspects and applications of variational and extremum approaches to systems of the macroscopic world. The first part of the book is focused on the theory, whereas the second focuses on applications. The unifying variational approach is used to derive the balance or conservation equations, phenomenological equations linking fluxes and forces, equations of change for processes with coupled transfer of energy and substance, and optimal conditions for energy management. - A unique multidisciplinary synthesis of variational and extremum principles in theory and application - A comprehensive review of current and past achievements in variational formulations for macroscopic processes - Uses Lagrangian and Hamiltonian formalisms as a basis for the exposition of novel approaches to transfer and conversion of thermal, solar and chemical energy
Electromagnetic Pulse Propagation In Casual Dielectrics
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Author : Kurt E. Oughstun
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Electromagnetic Pulse Propagation In Casual Dielectrics written by Kurt E. Oughstun 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 2012-12-06 with Science categories.
This research monograph presents a systematic treatment of the theory of the propagation of transient electromagnetic fields (such as optical pulses) through dielectric media which exhibit both dispersion and absorption. The work divides naturally into two parts. Part I presents a summary of the fundamental theory of the radiation and propagation of rather general electromagnetic waves in causal, linear media which are homogeneous and isotropic but which otherwise have rather general dispersive and absorbing properties. In Part II, we specialize on the propagation of a plane, transient electromagnetic field in a homogeneous dielectric. Although we have made some contributions to the fundamental theory given in Part I, most of the results of our own research appear in Part II. The purpose of the theory presented in Part II is to predict and to explain in explicit detail the dynamics of the field after it has propagated far enough through the medium to be in the mature-dispersion regime. It is the subject of a classic theory, based on the research conducted by A. Sommerfeld and L.