Nonlinear and Stochastic Dynamics of Compliant Offshore Structures (Solid Mechanics and Its Applications)

Book Description

The purpose of this monograph is to show how to model a compliant offshore structure in an ocean environment. Such structures are of increasing importance because of the desire to access the deep ocean. A brief history and an extensive review of the four existing transverse beam models are presented. The four beam models are Euler-Bernoulli, Rayleigh, shear and Timoshenko models. These are the fundamental models for the preliminary studies of offshore structures. The complete analytical solutions are given for each model. This review is followed by a chapter on the stochastic modelling of environmental forces. The waves are assumed to be random, and the fluid force is modelled using the Morison Equation. In subsequent chapters, the models are expanded to include the axial motion as well as the transverse motion in two and three dimensions.
Numerical results are obtained using both deterministic and random forces. A detailed description of the numerical methods is provided so that the reader can adapt these methods to his or her particular problem. Researchers in the fields of structural mechanics and ocean engineering, especially those with an interest in nonlinear hybrid beam/cable models, will find this a useful book.

Regular and Chaotic Dynamics (Applied Mathematical Sciences)

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Regular and Chaotic Dynamics (Applied Mathematical Sciences)
A.J. Lichtenberg , and M.A. Lieberman
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0387977457

Book Description

This book treats nonlinear dynamics in both Hamiltonian and dissipative systems. The emphasis is on the mechanics for generating chaotic motion, methods of calculating the transitions from regular to chaotic motion, and the dynamical and statistical properties of the dynamics when it is chaotic. The book is intended as a self consistent treatment of the subject at the graduate level and as a reference for scientists already working in the field. It emphasizes both methods of calculation and results. It is accessible to physicists and engineers without training in modern mathematics. The new edition brings the subject matter in a rapidly expanding field up to date, and has greatly expanded the treatment of dissipative dynamics to include most important subjects. It can be used as a graduate text for a two semester course covering both Hamiltonian and dissipative dynamics.

Statistical Thermodynamics and Stochastic Theory of Nonlinear Systems Far from Equilibrium (Advanced Series in Statistical Mechanics)

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Statistical Thermodynamics and Stochastic Theory of Nonlinear Systems Far from Equilibrium (Advanced Series in Statistical Mechanics)
Werner Ebeling , and Igor M. Sokolov
Manufacturer: World Scientific Publishing Company
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Binding: Hardcover

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The Trouble With Physics: The Rise of String Theory, The Fall of a Science, and What Comes Next

ASIN: 9810213824

Product Description

This book presents both the fundamentals and the major research topics in statistical physics of systems out of equilibrium. It summarizes different approaches to describe such systems on the thermodynamic and stochastic levels, and discusses a variety of areas including reactions, anomalous kinetics, and the behavior of self-propelling particles.

Applied Nonlinear Dynamics and Stochastic Systems Near the Millennium : San Diego, Ca July 1997 (Conference Proceedings , Vol 411)

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Applied Nonlinear Dynamics and Stochastic Systems Near the Millennium : San Diego, Ca July 1997 (Conference Proceedings , Vol 411)

Manufacturer: American Institute of Physics
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Binding: Hardcover

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Book Description

It is clear from current applications in signal processing, lasers, molecular motors, and the control of biomedical anomalies, that nonlinear dynamics pervades systems that we deal with every day. This work discusses nonlinear phenomena in random environments, with a view to their implementation in real devices and applications. In addition, it gives greater exposure to younger, promising researchers who seldom are able to speak at international meetings, while also providing several review talks by established individuals. The book emphasizes applications of nonlinear dynamical systems theory in fields as diverse as neuroscience and biomedical engineering, fluids, chaos control, nonlinear signal/image processing, stochastic resonance, devices, and nonlinear dynamics in socioeconomic systems. In particular, presentations were chosen which described methods being actively implemented to solve real problems.

Instabilities and Nonequilibrium Structures IX (Nonlinear Phenomena and Complex Systems)

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Instabilities and Nonequilibrium Structures IX (Nonlinear Phenomena and Complex Systems)

Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 1402019505

Book Description

This volume contains a selection of lectures and seminars given at the Ninth International Workshop on Instabilities and Nonequilibrium Structures which took place in Viña del Mar, Chile, in December 2001.
This book consists of two parts, the first one has three lectures written by Professors H.R. Brand, M. Moreau and L.S. Tuckerman. H.R. Brand gives an overview about reorientation and undulation instabilities in liquid crystals, M. Moreau presents recent results on biased tracer diffusion in lattice gases, finally, L.S. Tuckerman summarizes some numerical methods used in bifurcation problems.
The second part consists of a collection of selected seminars which cover different topics in nonlinear physics, from an experimental, numerical and theoretical point of view.
This book should appeal to mathematicians, physicists and engineers interested in dynamical systems, statistical mechanics, and nonequilibrium systems.

Instabilities and Nonequilibrium Structures V (Nonlinear Phenomena and Complex Systems)

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Instabilities and Nonequilibrium Structures V (Nonlinear Phenomena and Complex Systems)

Manufacturer: Springer
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Binding: Hardcover

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Book Description

This volume contains a selection of the lectures given at the Fifth International Workshop on Instabilities and Nonequilibrium Structures, held in Santiago, Chile, in December 1993. The following general subjects are covered: instabilities and pattern formation, stochastic effects in nonlinear systems, nonequilibrium statistical mechanics and granular matter. Review articles on transitions between spatio-temporal patterns and nonlinear wave equations are also included.
Audience: This book should appeal to physicists and mathematicians working in the areas of nonequilibrium systems, dynamical systems, pattern formation and partial differential equations. Chemists and biologists interested in self-organization and statistical mechanics should also be interested, as well as engineers working in fluid mechanics and materials science.

Instabilities and Nonequilibrium Structures VI (NONLINEAR PHENOMENA AND COMPLEX SYSTEMS Volume 5)

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Instabilities and Nonequilibrium Structures VI (NONLINEAR PHENOMENA AND COMPLEX SYSTEMS Volume 5)
Javier Martinez , and Enrique Tirapegui
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0792361296

Book Description

This book contains two introductory papers on important topics of nonlinear physics. The first one, by M. San Miguel et al., refers to the effect of noise in nonequilibrium systems. The second, by M.E. Brachet, is a modern introduction to turbulence in fluids. The material can be very useful for short courses and is presented accordingly. The authors have made their texts self-contained. The volume also contains a selection of the invited seminars given at the Sixth International Workshop on Instabilities and Nonequilibrium Structures.
Audience: This book should be of interest to graduate students and scientists interested in the fascinating problems of nonlinear physics.

Instabilities and Nonequilibrium Structures VII & VIII (Nonlinear Phenomena and Complex Systems)

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Instabilities and Nonequilibrium Structures VII & VIII (Nonlinear Phenomena and Complex Systems)

Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 1402018258

Book Description

The contents of this book correspond to Sessions VII and VIII of the International Workshop on Instabilities and Nonequilibrium Structures which took place in Viña del Mar, Chile, in December 1997 and December 1999, respectively. Part I is devoted to self-contained courses. Three courses are related to new developments in Bose-Einstein condensation: the first one by Robert Graham studies the classical dynamics of excitations of Bose condensates in anisotropic traps, the second by Marc Etienne Brachet refers to the bifurcations arising in attractive Bose-Einstein condensates and superfluid helium and the third course by André Verbeure is a pedagogical introduction to the subject with special emphasis on first principles and rigorous results. Part I is completed by two courses given by Michel Moreau: the first one on diffusion limited reactions of particles with fluctuating activity and the second on the phase boundary dynamics in a one dimensional nonequilibrium lattice gas. Part II includes a selection of invited seminars at both Workshops.

IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics (Solid Mechanics and Its Applications)

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IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics (Solid Mechanics and Its Applications)

Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Book Description

This volume contains 45 full-length papers presented at the IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics in Trondheim, Norway in July 1995. The contributions span the range from basic theoretical research to engineering applications. Particular areas covered include stochastic stability, nonlinear active control, nonlinear stochastic response, random material and system properties, stochastic finite elements, methods for non-gaussian processes, system identification, and modelling of environmental load processes. Specific applications include material fatigue, wind loading and response, offshore and earthquake engineering, and railway vibrations. The volume gives a representative overview of recent progress in theoretical methods and selected engineering applications and is a valuable reference for researchers in this very active field.

IUTAM Symposium on Nonlinear Stochastic Dynamics (Solid Mechanics and Its Applications)

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IUTAM Symposium on Nonlinear Stochastic Dynamics (Solid Mechanics and Its Applications)

Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 1402014716

Book Description

Non-linear stochastic systems are at the center of many engineering disciplines and progress in theoretical research had led to a better understanding of non-linear phenomena. This book provides information on new fundamental results and their applications which are beginning to appear across the entire spectrum of mechanics.
The outstanding points of these proceedings are Coherent compendium of the current state of modelling and analysis of non-linear stochastic systems from engineering, applied mathematics and physics point of view. Subject areas include: Multiscale phenomena, stability and bifurcations, control and estimation, computational methods and modelling.
For the Engineering and Physics communities, this book will provide first-hand information on recent mathematical developments. The applied mathematics community will benefit from the modelling and information on various possible applications.

Book Description

Featuring her wonderfully readable and often anthologized short stories, the third and final volume (with "Early Novels and Stories" and "Later Novels") of the most comprehensive Cather edition available anywhere. Includes the short-story collections "Youth and the Bright Medusa," "Obscure Destinies," and "The Old Beauty and Others," the novellas "Alexander's Bridge" and "My Mortal Enemy," occasional pieces, critical essays, and Cather's only book of poetry.

Willa Cather: Stories, Poems, and Other Writings

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Willa Cather: Stories, Poems, and Other Writings
Willa Cather
Manufacturer: Library of America
ProductGroup: Book
Binding: Hardcover

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