Download or read book Chaotic and Fractal Dynamics written by Francis C. Moon and published by John Wiley & Sons. This book was released on 2008-11-20 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revision of a professional text on the phenomena of chaotic vibrations in fluids and solids. Major changes reflect the latest developments in this fast-moving topic, the introduction of problems to every chapter, additional mathematics and applications, more coverage of fractals, numerous computer and physical experiments. Contains eight pages of 4-color pictures.
Download or read book Chaotic Vibrations written by F. C. Moon and published by . This book was released on 2004 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Chaotic Vibrations written by Francis C. Moon and published by . This book was released on 2013 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translates new mathematical ideas in nonlinear dynamics and chaos into a language that engineers and scientists can understand, and gives specific examples and applications of chaotic dynamics in the physical world. Also describes how to perform both computer and physical experiments in chaotic dynamics. Topics cover Poincare maps, fractal dimensions and Lyapunov exponents, illustrating their use in specific physical examples. Includes an extensive guide to the literature, especially that relating to more mathematically oriented works; a glossary of chaotic dynamics terms; a list of computer e.
Download or read book Chaotic Oscillators written by Tomasz Kapitaniak and published by World Scientific. This book was released on 1992 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators. Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. There is currently no book similar to this collection.
Download or read book Nonlinearity and Chaos in Molecular Vibrations written by Guozhen Wu and published by Elsevier. This book was released on 2005-07-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearity and Chaos in Molecular Vibrations deals systematically with a Lie algebraic approach to the study of nonlinear properties of molecular highly excited vibrations. The fundamental concepts of nonlinear dynamics such as chaos, fractals, quasiperiodicity, resonance, and the Lyapunov exponent, and their roles in the study of molecular vibrations are presented.The 20 chapters cover the basic ideas, the concept of dynamical groups, the integrable two-mode SU(2) system, the unintegrable three-mode SU(3) system, the noncompact su(1,1) algebraic application, su(3) symmetry breaking and its application and the quantal effect of asymmetric molecular rotation. Emphasis is given to: resonance and chaos, the fractal structure of eigencoefficients, the C-H bend motion of acetylene, regular and chaotic motion of DCN, the existence of approximately conserved quantum numbers, one-electronic motion in multi-sites, the Lyapunov exponent, actions of periodic trajectories and quantization, the H function and its application in vibrational relaxation as well as the Dixon dip and its destruction and chaos in the transitional states. This approach bridges the gap between molecular vibrational spectroscopy and nonlinear dynamics.The book presents a framework of information that readers can use to build their knowledge, and is therefore highly recommended for all those working in or studying molecular physics, molecular spectroscopy, chemical physics and theoretical physics. * Discusses nonlinearity and chaotic phenomena in molecular vibrations* Approaches the complicated highly excited molecular vibration* Provides clear information for students and researchers looking to expand knowledge in this field
Download or read book Chaotic Vibrations of a Nonlinear System with Five Equilibrium States written by Guangxuan Li and published by . This book was released on 1984 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Chaotic Maps written by Goong Chen and published by Springer Nature. This book was released on 2022-05-31 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of lecture notes for a semester-long introductory graduate course on dynamical systems and chaos taught by the authors at Texas A&M University and Zhongshan University, China. There are ten chapters in the main body of the book, covering an elementary theory of chaotic maps in finite-dimensional spaces. The topics include one-dimensional dynamical systems (interval maps), bifurcations, general topological, symbolic dynamical systems, fractals and a class of infinite-dimensional dynamical systems which are induced by interval maps, plus rapid fluctuations of chaotic maps as a new viewpoint developed by the authors in recent years. Two appendices are also provided in order to ease the transitions for the readership from discrete-time dynamical systems to continuous-time dynamical systems, governed by ordinary and partial differential equations. Table of Contents: Simple Interval Maps and Their Iterations / Total Variations of Iterates of Maps / Ordering among Periods: The Sharkovski Theorem / Bifurcation Theorems for Maps / Homoclinicity. Lyapunoff Exponents / Symbolic Dynamics, Conjugacy and Shift Invariant Sets / The Smale Horseshoe / Fractals / Rapid Fluctuations of Chaotic Maps on RN / Infinite-dimensional Systems Induced by Continuous-Time Difference Equations
Download or read book Vibrations and Stability written by Jon Juel Thomsen and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mechanical and Structural Vibrations written by Demeter G. Fertis and published by John Wiley & Sons. This book was released on 1995-04-17 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the whole spectrum of vibration theory and itsapplications in both civil and mechanical engineering, Mechanicaland Structural Vibrations provides the most comprehensive treatmentof the subject currently available. Based on the author s manyyears of experience in both academe and industry, it is designed tofunction equally well as both a day-to-day working resource forpracticing engineers and a superior upper-level undergraduate orgraduate-level text. Features a quick-reference format that, Mechanical and StructuralVibrations gives engineers instant access to the specific theory orapplication they need. Saves valuable time ordinarily spent wadingthrough unrelated or extraneous material. And, while they arethoroughly integrated throughout the text, applications to bothcivil and mechanical engineering are organized into sections thatpermit the reader to reference only the material germane to his orher field. Students and teachers will appreciate the book's practical,real-world approach to the subject, its emphasis on simplicity andaccuracy of analytical techniques, and its straightforward,step-by-step delineation of all numerical methods used incalculating the dynamics and vibrations problems, as well as thenumerous examples with which the author illustrates those methods.They will also appreciate the many chapter-end practice problems(solutions appear in appendices) designed to help them rapidlydevelop mastery of all concepts and methods covered. Readers will find many versatile new concepts and analyticaltechniques not covered in other texts, including nonlinearanalysis, inelastic response of structural and mechanicalcomponents of uniform and variable stiffness, the "dynamic hinge,""dynamically equivalent systems," and other breakthrough tools andtechniques developed by the author and his collaborators. Mechanical and Structural Vibrations is both an excellent text forcourses in structural dynamics, dynamic systems, and engineeringvibration and a valuable tool of the trade for practicing engineersworking in a broad range of industries, from electronic packagingto aerospace. Timely, comprehensive, practical--a superior student text and anindispensable working resource for busy engineers Mechanical and Structural Vibrations is the first text to cover theentire spectrum of vibration theory and its applications in bothcivil and mechanical engineering. Written by an author with over aquarter century of experience as a teacher and practicing engineer,it is designed to function equally well as a working professionalresource and an upper-level undergraduate or graduate-level textfor courses in structural dynamics, dynamic systems, andengineering vibrations. Mechanical and Structural Vibrations: * Takes a practical, application-oriented approach to the subject * Features a quick-reference format that gives busy professionalsinstant access to the information needed for the task at hand * Walks readers, step-by-step, through the numerical methods usedin calculating the dynamics and vibration problems * Introduces many cutting-edge concepts and analytical tools notcovered in other texts * Is packed with real-world examples covering everything from thestresses and strains on buildings during an earthquake to thoseaffecting a space craft during lift-off * Contains chapter-end problems--and solutions--that help studentsrapidly develop mastery of all important concepts and methodscovered * Is extremely well-illustrated and includes more than 300diagrams, tables, charts, illustrations, and more
Download or read book Deterministic Chaos In One Dimensional Continuous Systems written by Jan Awrejcewicz and published by World Scientific. This book was released on 2016-03-14 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time. The reduction is carried out based on a formal mathematical approach aimed at reducing the problems with infinite dimension to finite ones. The process also includes a transition from governing nonlinear partial differential equations to a set of finite number of ordinary differential equations.Beginning with an overview of the recent results devoted to the analysis and control of nonlinear dynamics of structural members, placing emphasis on stability, buckling, bifurcation and deterministic chaos, simple chaotic systems are briefly discussed. Next, bifurcation and chaotic dynamics of the Euler-Bernoulli and Timoshenko beams including the geometric and physical nonlinearity as well as the elastic-plastic deformations are illustrated. Despite the employed classical numerical analysis of nonlinear phenomena, the various wavelet transforms and the four Lyapunov exponents are used to detect, monitor and possibly control chaos, hyper-chaos, hyper-hyper-chaos and deep chaos exhibited by rectangular plate-strips and cylindrical panels.The book is intended for post-graduate and doctoral students, applied mathematicians, physicists, teachers and lecturers of universities and companies dealing with a nonlinear dynamical system, as well as theoretically inclined engineers of mechanical and civil engineering.
Download or read book Applied Nonlinear Dynamics And Chaos Of Mechanical Systems With Discontinuities written by Bram De Kraker and published by World Scientific. This book was released on 2000-04-28 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rapid developments in nonlinear dynamics and chaos theory have led to publication of many valuable monographs and books. However, most of these texts are devoted to the classical nonlinear dynamics systems, for example the Duffing or van der Pol oscillators, and either neglect or refer only briefly to systems with motion-dependent discontinuities. In engineering practice a good part of problems is discontinuous in nature, due to either deliberate reasons such as the introduction of working clearance, and/or the finite accuracy of the manufacturing processes.The main objective of this volume is to provide a general methodology for describing, solving and analysing discontinuous systems. It is compiled from the dedicated contributions written by experts in the field of applied nonlinear dynamics and chaos.The main focus is on mechanical engineering problems where clearances, piecewise stiffness, intermittent contact, variable friction or other forms of discontinuity occur. Practical applications include vibration absorbers, percussive drilling of hard materials and dynamics of metal cutting.
Download or read book Emerging Trends in Vibration and Noise Engineering written by and published by Allied Publishers. This book was released on 1996 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Chaos in Structural Mechanics written by Jan Awrejcewicz and published by Springer Science & Business Media. This book was released on 2009-11-11 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces new approaches to modeling strongly nonlinear behaviour of structural mechanical units: beams, plates and shells or composite systems. The text draws on bifurcation theory and chaos, emphasizing control and stability of objects and systems.
Download or read book Vibration Protection Systems written by Chang-Myung Lee and published by Cambridge University Press. This book was released on 2021-11-18 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design and deploy improved vibration protection systems with this essential reference. For researchers, engineers, professors and students.
Download or read book Nonlinear Dynamics and Chaos in Agricultural Systems written by K. Sakai and published by Gulf Professional Publishing. This book was released on 2001-06-21 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the analysis of chaos for readers majoring in agricultural science and an introduction to agricultural science for readers majoring in mathematical science and other fields. Hopes some readers will pursue further studies on the chaos of arable land. (Pref.)
Download or read book Computational Stochastic Mechanics written by P.D. Spanos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over a period of several years the field of probabilistic mechanics and com putational mechanics have progressed vigorously, but independently. With the advent of powerful computational hardware and the development of novel mechanical techniques, the field of stochastic mechanics has progressed in such a manner that the inherent uncertainty of quite complicated systems can be addressed. The first International Conference on Computational Stochastic Mechanics was convened in Corfu in September 1991 in an ef fort to provide a forum for the exchanging of ideas on the current status of computational methods as applied to stochastic mechanics and for identi fying needs for further research. The Conference covered both theoretical techniques and practical applications. The Conference also celebrated the 60th anniversary of the birthday of Dr. Masanobu Shinozuka, the Sollenberger Professor of Civil Engineering at Princeton University, whose work has contributed in such a great measure to the development of Computational Stochastic Mechanics. A brief sum mary of his career and achievements are given in the Dedication. This book comprises some of the papers presented at the meeting and cov ers sections on Theoretical Reliability Analysis; Damage Analysis; Applied Reliability Analysis; Theoretical Random Vibrations; Stochastic Finite Ele ment Concept; Fatigue and Fracture; Monte Carlo Simulations; Earthquake Engineering Applications; Materials; Applied Random Vibrations; Applied Stochastic Finite Element Analysis, and Flow Related Applications and Chaotic Dynamics. The Editors hope that the book will be a valuable contribution to the grow ing literature covering the field of Computational Stochastic Mechanics.
Download or read book Vibration Dynamics and Control written by Giancarlo Genta and published by Springer Science & Business Media. This book was released on 2008-11-16 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
