Analysis Of Complex Nonlinear Mechanical Systems
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The Analysis Of Complex Nonlinear Mechanical Systems
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Author : Martin Lesser
language : en
Publisher: World Scientific Series on Nonlinear Science Series A
Release Date : 1995
The Analysis Of Complex Nonlinear Mechanical Systems written by Martin Lesser and has been published by World Scientific Series on Nonlinear Science Series A this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.
The book covers the fundamentals of the mechanics of multibody systems, i.e., systems of interconnected rigid bodies. A geometric view is emphasized in which the techniques and algorithms are motivated by the picture of the rigid body system as a point in the multidimensional space of all possible configurations. The reader is introduced to computer algebra methods in the form of a system, called Sophia, which is implemented in the Maple symbolic manipulation system. The first chapter provides a motivational introduction to the basic principles and an introduction to Maple. Kinematics based on the idea of tangent vectors to the configuration manifold sets the stage for dynamical analysis. The latter ranges from the Lagrange and Gibbs-Appell to Kane's equations. Coverage includes nonholonomic systems and redundant variable methods. The computer algebra methods included enable the treatment of nontrivial mechanical systems and the development of efficient numerical codes for simulation.
Analysis Of Complex Nonlinear Mechanical Systems
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Author : Martin Lesser
language : en
Publisher: World Scientific
Release Date : 1995
Analysis Of Complex Nonlinear Mechanical Systems written by Martin Lesser and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
The book covers the fundamentals of the mechanics of multibody systems, i.e., systems of interconnected rigid bodies. A geometric view is emphasized in which the techniques and algorithms are motivated by the picture of the rigid body system as a point in the multidimensional space of all possible configurations. The reader is introduced to computer algebra methods in the form of a system, called Sophia, which is implemented in the Maple symbolic manipulation system. The first chapter provides a motivational introduction to the basic principles and an introduction to Maple. Kinematics based on the idea of tangent vectors to the configuration manifold sets the stage for dynamical analysis. The latter ranges from the Lagrange and Gibbs-Appell to Kane's equations. Coverage includes nonholonomic systems and redundant variable methods. The computer algebra methods included enable the treatment of nontrivial mechanical systems and the development of efficient numerical codes for simulation.
Analysis Of Complex Nonlinear Mechanical Systems The A Computer Algebra Assisted Approach With Diskette Of Maple Programming
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Author : Martin Lesser
language : en
Publisher: World Scientific Publishing Company
Release Date : 1995-09-20
Analysis Of Complex Nonlinear Mechanical Systems The A Computer Algebra Assisted Approach With Diskette Of Maple Programming written by Martin Lesser and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-20 with Science categories.
The book covers the fundamentals of the mechanics of multibody systems, i.e., systems of interconnected rigid bodies. A geometric view is emphasized in which the techniques and algorithms are motivated by the picture of the rigid body system as a point in the multidimensional space of all possible configurations. The reader is introduced to computer algebra methods in the form of a system, called Sophia, which is implemented in the Maple symbolic manipulation system. The first chapter provides a motivational introduction to the basic principles and an introduction to Maple. Kinematics based on the idea of tangent vectors to the configuration manifold sets the stage for dynamical analysis. The latter ranges from the Lagrange and Gibbs-Appell to Kane's equations. Coverage includes nonholonomic systems and redundant variable methods. The computer algebra methods included enable the treatment of nontrivial mechanical systems and the development of efficient numerical codes for simulation.
The Analysis Of Complex Nonlinear Mechanical Systems
DOWNLOAD
Author : Martin Lesser
language : en
Publisher:
Release Date : 1995
The Analysis Of Complex Nonlinear Mechanical Systems written by Martin Lesser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Modal Analysis Of Nonlinear Mechanical Systems
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Author : Gaetan Kerschen
language : en
Publisher: Springer
Release Date : 2014-10-13
Modal Analysis Of Nonlinear Mechanical Systems written by Gaetan Kerschen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-13 with Technology & Engineering categories.
The book first introduces the concept of nonlinear normal modes (NNMs) and their two main definitions. The fundamental differences between classical linear normal modes (LNMs) and NNMs are explained and illustrated using simple examples. Different methods for computing NNMs from a mathematical model are presented. Both advanced analytical and numerical methods are described. Particular attention is devoted to the invariant manifold and normal form theories. The book also discusses nonlinear system identification.
Dynamics And Bifurcations Of Non Smooth Mechanical Systems
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Author : Remco Leine
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-13
Dynamics And Bifurcations Of Non Smooth Mechanical Systems written by Remco Leine 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 2006-06-13 with Mathematics categories.
This monograph combines the knowledge of both the field of nonlinear dynamics and non-smooth mechanics, presenting a framework for a class of non-smooth mechanical systems using techniques from both fields. The book reviews recent developments, and opens the field to the nonlinear dynamics community. This book addresses researchers and graduate students in engineering and mathematics interested in the modelling, simulation and dynamics of non-smooth systems and nonlinear dynamics.
Chaotic Dynamics In Hamiltonian Systems With Applications To Celestial Mechanics
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Author : Harry Dankowicz
language : en
Publisher: World Scientific
Release Date : 1997-12-16
Chaotic Dynamics In Hamiltonian Systems With Applications To Celestial Mechanics written by Harry Dankowicz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-16 with Science categories.
In the past hundred years investigators have learned the significance of complex behavior in deterministic systems. The potential applications of this discovery are as numerous as they are encouraging.This text clearly presents the mathematical foundations of chaotic dynamics, including methods and results at the forefront of current research. The book begins with a thorough introduction to dynamical systems and their applications. It goes on to develop the theory of regular and stochastic behavior in higher-degree-of-freedom Hamiltonian systems, covering topics such as homoclinic chaos, KAM theory, the Melnikov method, and Arnold diffusion. Theoretical discussions are illustrated by a study of the dynamics of small circumasteroidal grains perturbed by solar radiation pressure. With alternative derivations and proofs of established results substituted for those in the standard literature, this work serves as an important source for researchers, students and teachers.Skillfully combining in-depth mathematics and actual physical applications, this book will be of interest to the applied mathematician, the theoretical mechanical engineer and the dynamical astronomer alike.
Cnn A Paradigm For Complexity
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Author : Leon O Chua
language : en
Publisher: World Scientific
Release Date : 1998-06-17
Cnn A Paradigm For Complexity written by Leon O Chua and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06-17 with Science categories.
Revolutionary and original, this treatise presents a new paradigm of EMERGENCE and COMPLEXITY, with applications drawn from numerous disciplines, including artificial life, biology, chemistry, computation, physics, image processing, information science, etc.CNN is an acronym for Cellular Neural Networks when used in the context of brain science, or Cellular Nonlinear Networks, when used in the context of emergence and complexity. A CNN is modeled by cells and interactions: cells are defined as dynamical systems and interactions are defined via coupling laws. The CNN paradigm is a universal Turing machine and includes cellular automata and lattice dynamical systems as special cases.While the CNN paradigm is an example of REDUCTIONISM par excellence, the true origin of emergence and complexity is traced to a much deeper new concept called local activity. The numerous complex phenomena unified under this mathematically precise principle include self organization, dissipative structures, synergetics, order from disorder, far-from-thermodynamic equilibrium, collective behaviors, edge of chaos, etc.Written with a high level of exposition, this completely self-contained monograph is profusely illustrated with over 200 stunning color illustrations of emergent phenomena.
Nonlinear Structural Dynamics And Damping
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Author : Juan Carlos Jauregui
language : en
Publisher: Springer
Release Date : 2019-03-14
Nonlinear Structural Dynamics And Damping written by Juan Carlos Jauregui and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-14 with Technology & Engineering categories.
This book compiles recent research in the field of nonlinear dynamics, vibrations and damping applied to engineering structures. It addresses the modeling of nonlinear vibrations in beams, frames and complex mechanical systems, as well as the modeling of damping systems and viscoelastic materials applied to structural dynamics. The book includes several chapters related to solution techniques and signal analysis techniques. Last but not least, it deals with the identification of nonlinear responses applied to condition monitoring systems.
Introduction To Control Of Oscillations And Chaos
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Author : Aleksandr L?vovich Fradkov
language : en
Publisher: World Scientific
Release Date : 1998
Introduction To Control Of Oscillations And Chaos written by Aleksandr L?vovich Fradkov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.
This book gives an exposition of the exciting field of control of oscillatory and chaotic systems, which has numerous potential applications in mechanics, laser and chemical technologies, communications, biology and medicine, economics, ecology, etc.A novelty of the book is its systematic application of modern nonlinear and adaptive control theory to the new class of problems. The proposed control design methods are based on the concepts of Lyapunov functions, Poincare maps, speed-gradient and gradient algorithms. The conditions which ensure such control goals as an excitation or suppression of oscillations, synchronization and transformation from chaotic mode to the periodic one or vice versa, are established. The performance and robustness of control systems under disturbances and uncertainties are evaluated.The described methods and algorithms are illustrated by a number of examples, including classical models of oscillatory and chaotic systems: coupled pendula, brusselator, Lorenz, Van der Pol, Duffing, Henon and Chua systems. Practical examples from different fields of science and technology such as communications, growth of thin films, synchronization of chaotic generators based on tunnel diods, stabilization of swings in power systems, increasing predictability of business-cycles are also presented.The book includes many results on nonlinear and adaptive control published previously in Russian and therefore were not known to the West.Researchers, teachers and graduate students in the fields of electrical and mechanical engineering, physics, chemistry, biology, economics will find this book most useful. Applied mathematicians and control engineers from various fields of technology dealing with complex oscillatory systems will also benefit from it.