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Nonlinear And Stochastic Dynamics


Nonlinear And Stochastic Dynamics
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Iutam Symposium On Nonlinear Stochastic Dynamics


Iutam Symposium On Nonlinear Stochastic Dynamics
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Author : N. Sri Namachchivaya
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Iutam Symposium On Nonlinear Stochastic Dynamics written by N. Sri Namachchivaya 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 Mathematics categories.


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.



Iutam Symposium On Nonlinear Stochastic Dynamics And Control


Iutam Symposium On Nonlinear Stochastic Dynamics And Control
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Author : W.Q. Zhu
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-07

Iutam Symposium On Nonlinear Stochastic Dynamics And Control written by W.Q. Zhu 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 2011-03-07 with Science categories.


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.



Nonlinear And Stochastic Dynamics In The Heart


Nonlinear And Stochastic Dynamics In The Heart
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Author : Zhilin Qu
language : en
Publisher:
Release Date : 2014

Nonlinear And Stochastic Dynamics In The Heart written by Zhilin Qu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.




Nonlinear Dynamics And Stochastic Mechanics


Nonlinear Dynamics And Stochastic Mechanics
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Author : Wolfgang Kliemann
language : en
Publisher: CRC Press
Release Date : 1995-04-18

Nonlinear Dynamics And Stochastic Mechanics written by Wolfgang Kliemann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-04-18 with Mathematics categories.


Engineering systems have played a crucial role in stimulating many of the modern developments in nonlinear and stochastic dynamics. After 20 years of rapid progress in these areas, this book provides an overview of the current state of nonlinear modeling and analysis for mechanical and structural systems. This volume is a coherent compendium written by leading experts from the United States, Canada, Western and Eastern Europe, and Australia. The 22 articles describe the background, recent developments, applications, and future directions in bifurcation theory, chaos, perturbation methods, stochastic stability, stochastic flows, random vibrations, reliability, disordered systems, earthquake engineering, and numerics. The book gives readers a sophisticated toolbox that will allow them to tackle modeling problems in mechanical systems that use stochastic and nonlinear dynamics ideas. An extensive bibliography and index ensure this volume will remain a reference standard for years to come.



Iutam Symposium On Nonlinear Stochastic Dynamics


Iutam Symposium On Nonlinear Stochastic Dynamics
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Author : N. Sri Namachchivaya
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-11-30

Iutam Symposium On Nonlinear Stochastic Dynamics written by N. Sri Namachchivaya 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 2003-11-30 with Mathematics categories.


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.



Dynamics Of Nonlinear Stochastic Systems


Dynamics Of Nonlinear Stochastic Systems
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Author : R. H. Kraichnan
language : en
Publisher:
Release Date : 1960

Dynamics Of Nonlinear Stochastic Systems written by R. H. Kraichnan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with categories.




Nonlinear And Stochastic Dynamics Of Coherent Structures


Nonlinear And Stochastic Dynamics Of Coherent Structures
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Author : Kim Ørskov Rasmussen
language : en
Publisher:
Release Date : 1997

Nonlinear And Stochastic Dynamics Of Coherent Structures written by Kim Ørskov Rasmussen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.




Nonlinear And Stochastic Climate Dynamics


Nonlinear And Stochastic Climate Dynamics
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Author : Christian L. E. Franzke
language : en
Publisher: Cambridge University Press
Release Date : 2017-01-19

Nonlinear And Stochastic Climate Dynamics written by Christian L. E. Franzke 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 2017-01-19 with Science categories.


It is now widely recognized that the climate system is governed by nonlinear, multi-scale processes, whereby memory effects and stochastic forcing by fast processes, such as weather and convective systems, can induce regime behavior. Motivated by present difficulties in understanding the climate system and to aid the improvement of numerical weather and climate models, this book gathers contributions from mathematics, physics and climate science to highlight the latest developments and current research questions in nonlinear and stochastic climate dynamics. Leading researchers discuss some of the most challenging and exciting areas of research in the mathematical geosciences, such as the theory of tipping points and of extreme events including spatial extremes, climate networks, data assimilation and dynamical systems. This book provides graduate students and researchers with a broad overview of the physical climate system and introduces powerful data analysis and modeling methods for climate scientists and applied mathematicians.



Iutam Symposium On Advances In Nonlinear Stochastic Mechanics


Iutam Symposium On Advances In Nonlinear Stochastic Mechanics
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Author : A. Naess
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Iutam Symposium On Advances In Nonlinear Stochastic Mechanics written by A. Naess 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 Technology & Engineering categories.


The IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics, held in Trondheim July 3-7, 1995, was the eighth of a series of IUTAM sponsored symposia which focus on the application of stochastic methods in mechanics. The previous meetings took place in Coventry, UK (1972), Sout'hampton, UK (1976), FrankfurtjOder, Germany (1982), Stockholm, Sweden (1984), Innsbruckjlgls, Austria (1987), Turin, Italy (1991) and San Antonio, Texas (1993). The symposium provided an extraordinary opportunity for scholars to meet and discuss recent advances in stochastic mechanics. The participants represented a wide range of expertise, from pure theoreticians to people primarily oriented toward applications. A significant achievement of the symposium was the very extensive discussions taking place over the whole range from highly theoretical questions to practical engineering applications. Several presentations also clearly demonstrated the substantial progress that has been achieved in recent years in terms of developing and implement ing stochastic analysis techniques for mechanical engineering systems. This aspect was further underpinned by specially invited extended lectures on computational stochastic mechanics, engineering applications of stochastic mechanics, and nonlinear active control. The symposium also reflected the very active and high-quality research taking place in the field of stochastic stability. Ten presentations were given on this topic ofa total of47 papers. A main conclusion that can be drawn from the proceedings of this symposium is that stochastic mechanics as a subject has reached great depth and width in both methodology and applicability.



Nonlinear And Stochastic Dynamics Of Compliant Offshore Structures


Nonlinear And Stochastic Dynamics Of Compliant Offshore Structures
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Author : Seon Mi Han
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-04-30

Nonlinear And Stochastic Dynamics Of Compliant Offshore Structures written by Seon Mi Han 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 2002-04-30 with Technology & Engineering categories.


The purpose of this monograph is to show how a compliant offshore structure in an ocean environment can be modeled in two and three di mensions. The monograph is divided into five parts. Chapter 1 provides the engineering motivation for this work, that is, offshore structures. These are very complex structures used for a variety of applications. It is possible to use beam models to initially study their dynamics. Chapter 2 is a review of variational methods, and thus includes the topics: princi ple of virtual work, D'Alembert's principle, Lagrange's equation, Hamil ton's principle, and the extended Hamilton's principle. These methods are used to derive the equations of motion throughout this monograph. Chapter 3 is a review of existing transverse beam models. They are the Euler-Bernoulli, Rayleigh, shear and Timoshenko models. The equa tions of motion are derived and solved analytically using the extended Hamilton's principle, as outlined in Chapter 2. For engineering purposes, the natural frequencies of the beam models are presented graphically as functions of normalized wave number and geometrical and physical pa rameters. Beam models are useful as representations of complex struc tures. In Chapter 4, a fluid force that is representative of those that act on offshore structures is formulated. The environmental load due to ocean current and random waves is obtained using Morison's equa tion. The random waves are formulated using the Pierson-Moskowitz spectrum with the Airy linear wave theory.