Localization and Solitary Waves in Solid Mechanics

Localization and Solitary Waves in Solid Mechanics

Author: A. R. Champneys

Publisher: World Scientific

Published: 1999

Total Pages: 400

ISBN-13: 9789810239152

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This book is a collection of recent reprints and new material on fundamentally nonlinear problems in structural systems which demonstrate localized responses to continuous inputs. It has two intended audiences. For mathematicians and physicists it should provide useful new insights into a classical yet rapidly developing area of application of the rich subject of dynamical systems theory. For workers in structural and solid mechanics it introduces a new methodology for dealing with structural localization and the related topic of the generation of solitary waves. Applications range from classical problems such as the buckling of cylindrical shells, twisted rods and pipelines, to the folding of geological strata, the failure of sandwich structures and the propagation of solitary waves in suspended beam systems.


Book Synopsis Localization and Solitary Waves in Solid Mechanics by : A. R. Champneys

Download or read book Localization and Solitary Waves in Solid Mechanics written by A. R. Champneys and published by World Scientific. This book was released on 1999 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of recent reprints and new material on fundamentally nonlinear problems in structural systems which demonstrate localized responses to continuous inputs. It has two intended audiences. For mathematicians and physicists it should provide useful new insights into a classical yet rapidly developing area of application of the rich subject of dynamical systems theory. For workers in structural and solid mechanics it introduces a new methodology for dealing with structural localization and the related topic of the generation of solitary waves. Applications range from classical problems such as the buckling of cylindrical shells, twisted rods and pipelines, to the folding of geological strata, the failure of sandwich structures and the propagation of solitary waves in suspended beam systems.


Localization and Solitary Waves in Solid Mechanics

Localization and Solitary Waves in Solid Mechanics

Author: A. R. Champneys

Publisher:

Published: 1997

Total Pages: 141

ISBN-13:

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Book Synopsis Localization and Solitary Waves in Solid Mechanics by : A. R. Champneys

Download or read book Localization and Solitary Waves in Solid Mechanics written by A. R. Champneys and published by . This book was released on 1997 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Waves Called Solitons

Waves Called Solitons

Author: Michel Remoissenet

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 353

ISBN-13: 3662037904

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Written for an interdisciplinary readership, this book is a practical guide to the fascinating world of solitons. The author approaches the subject from the standpoint of applications in optics, hydrodynamics, and electrical and chemical engineering. This third edition has been thoroughly revised and updated.


Book Synopsis Waves Called Solitons by : Michel Remoissenet

Download or read book Waves Called Solitons written by Michel Remoissenet and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for an interdisciplinary readership, this book is a practical guide to the fascinating world of solitons. The author approaches the subject from the standpoint of applications in optics, hydrodynamics, and electrical and chemical engineering. This third edition has been thoroughly revised and updated.


Introduction to Wave Scattering, Localization and Mesoscopic Phenomena

Introduction to Wave Scattering, Localization and Mesoscopic Phenomena

Author: Ping Sheng

Publisher: Springer Science & Business Media

Published: 2006-08-25

Total Pages: 341

ISBN-13: 3540291563

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Waves represent an important topic of study in physics, mathematics, and engineering. This volume is a resource book for those interested in understanding the physics underlying nanotechnology and mesoscopic phenomena. It aims to bridge the gap between the textbooks and research frontiers in wave related topics.


Book Synopsis Introduction to Wave Scattering, Localization and Mesoscopic Phenomena by : Ping Sheng

Download or read book Introduction to Wave Scattering, Localization and Mesoscopic Phenomena written by Ping Sheng and published by Springer Science & Business Media. This book was released on 2006-08-25 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves represent an important topic of study in physics, mathematics, and engineering. This volume is a resource book for those interested in understanding the physics underlying nanotechnology and mesoscopic phenomena. It aims to bridge the gap between the textbooks and research frontiers in wave related topics.


Energy Localisation And Transfer

Energy Localisation And Transfer

Author: Thierry Dauxois

Publisher: World Scientific

Published: 2004-02-09

Total Pages: 428

ISBN-13: 9814483346

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This book provides an introduction to localised excitations in spatially discrete systems, from the experimental, numerical and mathematical points of view. Also known as discrete breathers, nonlinear lattice excitations and intrinsic localised modes, these are spatially localised time periodic motions in networks of dynamical units. Examples of such networks are molecular crystals, biomolecules, and arrays of Josephson superconducting junctions. The book also addresses the formation of discrete breathers and their potential role in energy transfer in such systems.


Book Synopsis Energy Localisation And Transfer by : Thierry Dauxois

Download or read book Energy Localisation And Transfer written by Thierry Dauxois and published by World Scientific. This book was released on 2004-02-09 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to localised excitations in spatially discrete systems, from the experimental, numerical and mathematical points of view. Also known as discrete breathers, nonlinear lattice excitations and intrinsic localised modes, these are spatially localised time periodic motions in networks of dynamical units. Examples of such networks are molecular crystals, biomolecules, and arrays of Josephson superconducting junctions. The book also addresses the formation of discrete breathers and their potential role in energy transfer in such systems.


IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics

IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics

Author: Francis C. Moon

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 559

ISBN-13: 9401153205

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This book presents the latest research results in the area of applied nonlinear dynamics and chaos theory. Papers by three academic generations address new applications of nonlinear dynamics to mechanics, including fluid-structure interaction, machining and mechanics of solids, and many other applications.


Book Synopsis IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics by : Francis C. Moon

Download or read book IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics written by Francis C. Moon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the latest research results in the area of applied nonlinear dynamics and chaos theory. Papers by three academic generations address new applications of nonlinear dynamics to mechanics, including fluid-structure interaction, machining and mechanics of solids, and many other applications.


Resolution Of The Twentieth Century Conundrum In Elastic Stability

Resolution Of The Twentieth Century Conundrum In Elastic Stability

Author: Isaac E Elishakoff

Publisher: World Scientific

Published: 2014-05-29

Total Pages: 350

ISBN-13: 9814583553

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There have been stability theories developed for beams, plates and shells — the most significant elements in mechanical, aerospace, ocean and marine engineering. For beams and plates, the theoretical and experimental values of buckling loads are in close vicinity. However for thin shells, the experimental predictions do not conform with the theory, due to presence of small geometric imperfections that are deviations from the ideal shape.This fact has been referred to in the literature as ‘embarrassing’, ‘paradoxical’ and ‘perplexing’. Indeed, the popular adage, “In theory there is no difference between theory and practice. In practice there is”, very much applies to thin shells whose experimental buckling loads may constitute a small fraction of the theoretical prediction based on classical linear theory; because in practice, engineers use knockdown factors that are not theoretically substantiated.This book presents a uniform approach that tames this prima-donna-like and capricious behavior of structures that has been dubbed the ‘imperfection sensitivity’ — thus resolving the conundrum that has occupied the best minds of elastic stability throughout the twentieth century.


Book Synopsis Resolution Of The Twentieth Century Conundrum In Elastic Stability by : Isaac E Elishakoff

Download or read book Resolution Of The Twentieth Century Conundrum In Elastic Stability written by Isaac E Elishakoff and published by World Scientific. This book was released on 2014-05-29 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been stability theories developed for beams, plates and shells — the most significant elements in mechanical, aerospace, ocean and marine engineering. For beams and plates, the theoretical and experimental values of buckling loads are in close vicinity. However for thin shells, the experimental predictions do not conform with the theory, due to presence of small geometric imperfections that are deviations from the ideal shape.This fact has been referred to in the literature as ‘embarrassing’, ‘paradoxical’ and ‘perplexing’. Indeed, the popular adage, “In theory there is no difference between theory and practice. In practice there is”, very much applies to thin shells whose experimental buckling loads may constitute a small fraction of the theoretical prediction based on classical linear theory; because in practice, engineers use knockdown factors that are not theoretically substantiated.This book presents a uniform approach that tames this prima-donna-like and capricious behavior of structures that has been dubbed the ‘imperfection sensitivity’ — thus resolving the conundrum that has occupied the best minds of elastic stability throughout the twentieth century.


Normal Modes and Localization in Nonlinear Systems

Normal Modes and Localization in Nonlinear Systems

Author: Alexander F. Vakakis

Publisher: John Wiley & Sons

Published: 2008-07-11

Total Pages: 552

ISBN-13: 3527617876

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This landmark book deals with nonlinear normal modes (NNMs) and nonlinear mode localization. Offers an analysis which enables the study of various nonlinear phenomena having no counterpart in linear theory. On a more theoretical level, the concept of NNMs will be shown to provide an excellent framework for understanding a variety of distinctively nonlinear phenomena such as mode bifurcations and standing or traveling solitary waves.


Book Synopsis Normal Modes and Localization in Nonlinear Systems by : Alexander F. Vakakis

Download or read book Normal Modes and Localization in Nonlinear Systems written by Alexander F. Vakakis and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This landmark book deals with nonlinear normal modes (NNMs) and nonlinear mode localization. Offers an analysis which enables the study of various nonlinear phenomena having no counterpart in linear theory. On a more theoretical level, the concept of NNMs will be shown to provide an excellent framework for understanding a variety of distinctively nonlinear phenomena such as mode bifurcations and standing or traveling solitary waves.


Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism

Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism

Author: Richard V. Craster

Publisher: Springer Science & Business Media

Published: 2013-09-05

Total Pages: 260

ISBN-13: 3709116198

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Properties of wave localization play a decisive role both in applications of engineered microstructures and in the detection of cracks and flaws. The papers in this volume give an introduction into a variety of interrelated dynamic localization phenomena occurring in elasticity, acoustics and electromagnetism. In particular, these involve surface and edge waves and also trapped modes localized near defects, shape changes and the edges of elongated waveguides. The effects of layering, prestress, anisotropy, periodic microstructures as well as various multi-field phenomena are addressed with reference to underlying industrial problems. The essential and up-to-date numerical, asymptotic, and analytical techniques are covered as well as relevant continuum theories that are required to make progress in, and understand wave localization and allied effects. A major focus is on a qualitative physical insight into the mechanisms of dynamic localization.


Book Synopsis Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism by : Richard V. Craster

Download or read book Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism written by Richard V. Craster and published by Springer Science & Business Media. This book was released on 2013-09-05 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Properties of wave localization play a decisive role both in applications of engineered microstructures and in the detection of cracks and flaws. The papers in this volume give an introduction into a variety of interrelated dynamic localization phenomena occurring in elasticity, acoustics and electromagnetism. In particular, these involve surface and edge waves and also trapped modes localized near defects, shape changes and the edges of elongated waveguides. The effects of layering, prestress, anisotropy, periodic microstructures as well as various multi-field phenomena are addressed with reference to underlying industrial problems. The essential and up-to-date numerical, asymptotic, and analytical techniques are covered as well as relevant continuum theories that are required to make progress in, and understand wave localization and allied effects. A major focus is on a qualitative physical insight into the mechanisms of dynamic localization.


Mathematical Reviews

Mathematical Reviews

Author:

Publisher:

Published: 2001

Total Pages: 888

ISBN-13:

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: