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Parametric Resonance In Dynamical Systems

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Parametric Resonance In Dynamical Systems

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Author : Thor I. Fossen
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-12-14

Parametric Resonance In Dynamical Systems written by Thor I. Fossen 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 2011-12-14 with Technology & Engineering categories.

Parametric Resonance in Dynamical Systems discusses the phenomenon of parametric resonance and its occurrence in mechanical systems, vehicles, motorcycles, aircraft and marine craft, along micro-electro-mechanical systems. The contributors provides an introduction to the root causes of this phenomenon and its mathematical equivalent, the Mathieu-Hill equation. Also included is a discussion of how parametric resonance occurs on ships and offshore systems, and its frequency in mechanical and electrical systems. This volume is ideal for researchers and mechanical engineers working in application fields such as MEMS, maritime, aircraft and ground vehicle engineering.

Parametric Resonance In Dynamical Systems

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Author : Thor Fossen
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-12-13

Parametric Resonance In Dynamical Systems written by Thor Fossen 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 2011-12-13 with Technology & Engineering categories.

Autoparametric Resonance In Mechanical Systems

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Author : Ales Tondl
language : en
Publisher: Cambridge University Press
Release Date : 2000-04-28

Autoparametric Resonance In Mechanical Systems written by Ales Tondl 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 2000-04-28 with Science categories.

When a mechanical system consists of two or more coupled vibrating components, the vibration of one of the component subsystems may destabilize the motion of the other components. This destabilization effect is called autoparametric resonance. It is a concept that has important engineering applications. For example, vibrations in a pipeline induced by high-speed gas flows must be considered in the design and operation of the pipeline. This book is the first completely devoted to the subject of autoparametric resonance in an engineering context. Using the tools of nonlinear analysis, the authors show how to carry out the first crucial step, that is, how to determine the regions of parameter space where the semi-trivial solution is unstable. They describe what happens in these regions and then discuss non-trivial solutions and their stability. The study of autoparametric systems is a lively area of current research in engineering and applied mathematics, and this book will appeal to graduate students and research workers in both disciplines.

Nonlinear Oscillations And Waves In Dynamical Systems

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Author : Polina Solomonovna Landa
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-02-29

Nonlinear Oscillations And Waves In Dynamical Systems written by Polina Solomonovna Landa 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 1996-02-29 with Mathematics categories.

This volume is an up-to-date treatment of the theory of nonlinear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified point of view. Also, the relation between the theory of oscillations and waves, nonlinear dynamics and synergetics is discussed. One of the purposes of this book is to convince readers of the necessity of a thorough study of the theory of oscillations and waves, and to show that such popular branches of science as nonlinear dynamics, and synergetic soliton theory, for example, are in fact constituent parts of this theory. Audience: This book will appeal to researchers whose work involves oscillatory and wave processes, and students and postgraduates interested in the general laws and applications of the theory of oscillations and waves.

Mathematics Of Complexity And Dynamical Systems

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Author : Robert A. Meyers
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-05

Mathematics Of Complexity And Dynamical Systems written by Robert A. Meyers 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 2011-10-05 with Mathematics categories.

Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

Nonlinear Dynamical Systems And Chaos

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Author : H.W. Broer
language : en
Publisher: Birkhäuser
Release Date : 2013-11-11

Nonlinear Dynamical Systems And Chaos written by H.W. Broer and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.

Symmetries in dynamical systems, "KAM theory and other perturbation theories", "Infinite dimensional systems", "Time series analysis" and "Numerical continuation and bifurcation analysis" were the main topics of the December 1995 Dynamical Systems Conference held in Groningen in honour of Johann Bernoulli. They now form the core of this work which seeks to present the state of the art in various branches of the theory of dynamical systems. A number of articles have a survey character whereas others deal with recent results in current research. It contains interesting material for all members of the dynamical systems community, ranging from geometric and analytic aspects from a mathematical point of view to applications in various sciences.

Structural Dynamics Vol 1

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Author : Proceedings Editors
language : en
Publisher: Routledge
Release Date : 2022-03-02

Structural Dynamics Vol 1 written by Proceedings Editors and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-02 with Technology & Engineering categories.

First published in 1991. This volume contains the proceedings of the first European Conference on Structural Dynamics (Eurodyne 90) held at the Ruhr University, Bochum, FRG in June 1990. Volume one (169-9) covers impact, dynamic stability, soil dynamics, system identification, earthquake engineering, earthquake engineering R/C structures, and earthquake engineering for steel structures.

Liquid Sloshing Dynamics

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Author : Raouf A. Ibrahim
language : en
Publisher: Cambridge University Press
Release Date : 2005-05-19

Liquid Sloshing Dynamics written by Raouf A. Ibrahim 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 2005-05-19 with Technology & Engineering categories.

The problem of liquid sloshing in moving or stationary containers remains of great concern to aerospace, civil, and nuclear engineers; physicists; designers of road tankers and ship tankers; and mathematicians. Beginning with the fundamentals of liquid sloshing theory, this book takes the reader systematically from basic theory to advanced analytical and experimental results in a self-contained and coherent format. The book is divided into four sections. Part I deals with the theory of linear liquid sloshing dynamics; Part II addresses the nonlinear theory of liquid sloshing dynamics, Faraday waves, and sloshing impacts; Part III presents the problem of linear and nonlinear interaction of liquid sloshing dynamics with elastic containers and supported structures; and Part IV considers the fluid dynamics in spinning containers and microgravity sloshing. This book will be invaluable to researchers and graduate students in mechanical and aeronautical engineering, designers of liquid containers, and applied mathematicians.

Nonlinear And Parametric Phenomena Theory And Applications In Radiophysical And Mechanical Systems

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Author : Vladimir Nikolov Damgov
language : en
Publisher: World Scientific
Release Date : 2004-11-22

Nonlinear And Parametric Phenomena Theory And Applications In Radiophysical And Mechanical Systems written by Vladimir Nikolov Damgov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-22 with Science categories.

The book comprises a broad panorama of phenomena occurring in four major classes of radiophysical and mechanical systems — linear, nonlinear, parametric, and nonlinear-parametric. An analytical technique for the broad circle of issues under consideration is developed. It is presented in a user-friendly form, allowing its further direct application in research practices.Analytical methods are presented for investigating modulation-parametric and nonlinear systems, oscillating systems with periodic and almost periodic time-dependent parameters, effects of adaptive self-organization in coupled resonance systems and oscillating systems under the action of external forces, nonlinear with respect to the coordinates of excited systems.Of an interdisciplinary nature, this volume can serve as a handbook for developing lecture courses such as Fundamentals of Nonlinear Dynamics and Theory of Nonlinear Oscillations, Theory of Nonlinear Circuits and Systems, Fundamentals of Radiophysics and Electronics, Theory of Signals and Theoretical Radiophysics, Theoretical Mechanics and Electrodynamics.

Iutam Symposium On Exploiting Nonlinear Dynamics For Engineering Systems

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Author : Ivana Kovacic
language : en
Publisher: Springer
Release Date : 2019-07-24

Iutam Symposium On Exploiting Nonlinear Dynamics For Engineering Systems written by Ivana Kovacic and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-24 with Technology & Engineering categories.

This is the proceedings of the IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems that was held in Novi Sad, Serbia, from July 15th to 19th, 2018. The appearance of nonlinear phenomena used to be perceived as dangerous, with a general tendency to avoid them or control them. This perception has led to intensive research using various approaches and tailor-made tools developed over decades. However, the Nonlinear Dynamics of today is experiencing a profound shift of paradigm since recent investigations rely on a different strategy which brings good effects of nonlinear phenomena to the forefront. This strategy has a positive impact on different fields in science and engineering, such as vibration isolation, energy harvesting, micro/nano-electro-mechanical systems, etc. Therefore, the ENOLIDES Symposium was devoted to demonstrate the benefits and to unlock the potential of exploiting nonlinear dynamical behaviour in these but also in other emerging fields of science and engineering. This proceedings is useful for researchers in the fields of nonlinear dynamics of mechanical systems and structures, and in Mechanical and Civil Engineering.

Parametric Resonance In Dynamical Systems

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