Vibrations and Stability

Vibrations and Stability

Author: Jon Juel Thomsen

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 420

ISBN-13: 3662107937

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An ideal text for students that ties together classical and modern topics of advanced vibration analysis in an interesting and lucid manner. It provides students with a background in elementary vibrations with the tools necessary for understanding and analyzing more complex dynamical phenomena that can be encountered in engineering and scientific practice. It progresses steadily from linear vibration theory over various levels of nonlinearity to bifurcation analysis, global dynamics and chaotic vibrations. It trains the student to analyze simple models, recognize nonlinear phenomena and work with advanced tools such as perturbation analysis and bifurcation analysis. Explaining theory in terms of relevant examples from real systems, this book is user-friendly and meets the increasing interest in non-linear dynamics in mechanical/structural engineering and applied mathematics and physics. This edition includes a new chapter on the useful effects of fast vibrations and many new exercise problems.


Smart Structures

Smart Structures

Author: A. V. Srinivasan

Publisher: Cambridge University Press

Published: 2001

Total Pages: 246

ISBN-13: 9780521659772

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Introductory text on the analysis and design of smart devices and structures.


Statics and Dynamics with Background Mathematics

Statics and Dynamics with Background Mathematics

Author: A. P. Roberts

Publisher: Cambridge University Press

Published: 2003-05-22

Total Pages: 390

ISBN-13: 9780521520874

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This book uniquely covers both Statics and Dynamics together with a section on background mathematics, providing the student with everything needed to complete typical first year undergraduate courses. Students often find it difficult to visualize problems and grasp the mathematics, but Roberts' friendly approach makes life easier for both student and tutor, tackling concepts from first principles with many examples, exercises and helpful diagrams. The revision section on introductory mathematics is a huge bonus, allowing students to catch up on the pre-requisite mathematics needed to work through both courses.


Mathematics of Complexity and Dynamical Systems

Mathematics of Complexity and Dynamical Systems

Author: Robert A. Meyers

Publisher: Springer Science & Business Media

Published: 2011-10-05

Total Pages: 1885

ISBN-13: 1461418054

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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.


Vibrations and Stability

Vibrations and Stability

Author: Jon Juel Thomsen

Publisher: Springer Nature

Published: 2021-03-18

Total Pages: 539

ISBN-13: 3030680452

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An ideal text for students that ties together classical and modern topics of advanced vibration analysis in an interesting and lucid manner. It provides students with a background in elementary vibrations with the tools necessary for understanding and analyzing more complex dynamical phenomena that can be encountered in engineering and scientific practice. It progresses steadily from linear vibration theory over various levels of nonlinearity to bifurcation analysis, global dynamics and chaotic vibrations. It trains the student to analyze simple models, recognize nonlinear phenomena and work with advanced tools such as perturbation analysis and bifurcation analysis. Explaining theory in terms of relevant examples from real systems, this book is user-friendly and meets the increasing interest in non-linear dynamics in mechanical/structural engineering and applied mathematics and physics. This edition includes a new chapter on the useful effects of fast vibrations and many new exercise problems.


Vibration Dynamics and Control

Vibration Dynamics and Control

Author: Giancarlo Genta

Publisher: Springer Science & Business Media

Published: 2008-12-17

Total Pages: 864

ISBN-13: 0387795790

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Mechanical engineering,and engineering discipline born of the needs of the industrial revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face p- found issues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series is a series f- turing graduate texts and research monographs intended to address the need for information in contemporary areas of mechanical engineering. The series is conceived as a comprehensive one that covers a broad range of concentrations important to mechanical engineering graduate - ucation and research. We are fortunate to have a distinguished roster of series editors, each an expert in one of the areas of concentration. The names of the series editors are listed on page vi of this volume. The areas of concentration are applied mechanics, biomechanics, computational - chanics, dynamic systems and control, energetics, mechanics of materials, processing, thermal science, and tribology. Preface After15yearssincethepublicationofVibrationofStructuresandMachines and three subsequent editions a deep reorganization and updating of the material was felt necessary. This new book on the subject of Vibration dynamics and control is organized in a larger number of shorter chapters, hoping that this can be helpful to the reader. New materialhas been added and many points have been updated. A larger number of examples and of exercises have been included.


Nonlinear Resonances

Nonlinear Resonances

Author: Shanmuganathan Rajasekar

Publisher: Springer

Published: 2015-11-30

Total Pages: 417

ISBN-13: 3319248863

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This introductory text presents the basic aspects and most important features of various types of resonances and anti-resonances in dynamical systems. In particular, for each resonance, it covers the theoretical concepts, illustrates them with case studies, and reviews the available information on mechanisms, characterization, numerical simulations, experimental realizations, possible quantum analogues, applications and significant advances made over the years. Resonances are one of the most fundamental phenomena exhibited by nonlinear systems and refer to specific realizations of maximum response of a system due to the ability of that system to store and transfer energy received from an external forcing source. Resonances are of particular importance in physical, engineering and biological systems - they can prove to be advantageous in many applications, while leading to instability and even disasters in others. The book is self-contained, providing the details of mathematical derivations and techniques involved in numerical simulations. Though primarily intended for graduate students, it can also be considered a reference book for any researcher interested in the dynamics of resonant phenomena.


Performance-Based Seismic Design of Concrete Structures and Infrastructures

Performance-Based Seismic Design of Concrete Structures and Infrastructures

Author: Plevris, Vagelis

Publisher: IGI Global

Published: 2017-02-14

Total Pages: 338

ISBN-13: 1522520902

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Solid design and craftsmanship are a necessity for structures and infrastructures that must stand up to natural disasters on a regular basis. Continuous research developments in the engineering field are imperative for sustaining buildings against the threat of earthquakes and other natural disasters. Performance-Based Seismic Design of Concrete Structures and Infrastructures is an informative reference source on all the latest trends and emerging data associated with structural design. Highlighting key topics such as seismic assessments, shear wall structures, and infrastructure resilience, this is an ideal resource for all academicians, students, professionals, and researchers that are seeking new knowledge on the best methods and techniques for designing solid structural designs.


A Toolbox of Averaging Theorems

A Toolbox of Averaging Theorems

Author: Ferdinand Verhulst

Publisher: Springer Nature

Published: 2023-08-23

Total Pages: 199

ISBN-13: 3031345150

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This primer on averaging theorems provides a practical toolbox for applied mathematicians, physicists, and engineers seeking to apply the well-known mathematical theory to real-world problems. With a focus on practical applications, the book introduces new approaches to dissipative and Hamiltonian resonances and approximations on timescales longer than 1/ε. Accessible and clearly written, the book includes numerous examples ranging from elementary to complex, making it an excellent basic reference for anyone interested in the subject. The prerequisites have been kept to a minimum, requiring only a working knowledge of calculus and ordinary and partial differential equations (ODEs and PDEs). In addition to serving as a valuable reference for practitioners, the book could also be used as a reading guide for a mathematics seminar on averaging methods. Whether you're an engineer, scientist, or mathematician, this book offers a wealth of practical tools and theoretical insights to help you tackle a range of mathematical problems.