Vibrations Of Nonlinear Systems

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Nonlinear Vibration with Control

Author : David Wagg
Publisher : Springer
ISBN 13 : 3319106449
Total Pages : 461 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Nonlinear Vibration with Control by : David Wagg

Download or read book Nonlinear Vibration with Control written by David Wagg and published by Springer. This book was released on 2014-11-03 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive discussion of nonlinear multi-modal structural vibration problems, and shows how vibration suppression can be applied to such systems by considering a sample set of relevant control techniques. It covers the basic principles of nonlinear vibrations that occur in flexible and/or adaptive structures, with an emphasis on engineering analysis and relevant control techniques. Understanding nonlinear vibrations is becoming increasingly important in a range of engineering applications, particularly in the design of flexible structures such as aircraft, satellites, bridges, and sports stadia. There is an increasing trend towards lighter structures, with increased slenderness, often made of new composite materials and requiring some form of deployment and/or active vibration control. There are also applications in the areas of robotics, mechatronics, micro electrical mechanical systems, non-destructive testing and related disciplines such as structural health monitoring. Two broader themes cut across these application areas: (i) vibration suppression – or active damping – and, (ii) adaptive structures and machines. In this expanded 2nd edition, revisions include: An additional section on passive vibration control, including nonlinear vibration mounts. A more in-depth description of semi-active control, including switching and continuous schemes for dampers and other semi-active systems. A complet e reworking of normal form analysis, which now includes new material on internal resonance, bifurcation of backbone curves and stability analysis of forced responses. Further analysis of the nonlinear dynamics of cables including internal resonance leading to whirling. Additional material on the vibration of systems with impact friction. The book is accessible to practitioners in the areas of application, as well as students and researchers working on related topics. In particular, the aim is to introduce the key concepts of nonlinear vibration to readers who have an understanding of linear vibration and/or linear control, but no specialist knowledge in nonlinear dynamics or nonlinear control.

Nonlinear Vibrations in Mechanical and Electrical Systems

Author : James Johnston Stoker
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Nonlinear Vibrations in Mechanical and Electrical Systems by : James Johnston Stoker

Download or read book Nonlinear Vibrations in Mechanical and Electrical Systems written by James Johnston Stoker and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Vibrations and Stability of Shells and Plates

Author : Marco Amabili
Publisher : Cambridge University Press
ISBN 13 : 1139469029
Total Pages : 391 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Nonlinear Vibrations and Stability of Shells and Plates by : Marco Amabili

Download or read book Nonlinear Vibrations and Stability of Shells and Plates written by Marco Amabili and published by Cambridge University Press. This book was released on 2008-01-14 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.

Vibration of Strongly Nonlinear Discontinuous Systems

Author : V.I. Babitsky
Publisher : Springer Science & Business Media
ISBN 13 : 3540444882
Total Pages : 415 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Vibration of Strongly Nonlinear Discontinuous Systems by : V.I. Babitsky

Download or read book Vibration of Strongly Nonlinear Discontinuous Systems written by V.I. Babitsky and published by Springer Science & Business Media. This book was released on 2012-11-02 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph addresses the systematic representation of the methods of analysis developed by the authors as applied to such systems. Particular features of dynamic processes in such systems are studied. Special attention is given to an analysis of different resonant phenomena taking unusual and diverse forms.

Harmonic Balance for Nonlinear Vibration Problems

Author : Malte Krack
Publisher : Springer
ISBN 13 : 3030140237
Total Pages : 159 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Harmonic Balance for Nonlinear Vibration Problems by : Malte Krack

Download or read book Harmonic Balance for Nonlinear Vibration Problems written by Malte Krack and published by Springer. This book was released on 2019-03-23 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation. Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry.

Nonlinear Mechanical Vibrations

Author : P. Srinivasan
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Nonlinear Mechanical Vibrations by : P. Srinivasan

Download or read book Nonlinear Mechanical Vibrations written by P. Srinivasan and published by John Wiley & Sons. This book was released on 1995 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Study And Analysis Of Vibrations Have Found Lot Of Importance In Recent Years In Both Academic And Industrial Fields. Nonlinear Vibration In Particular, Has Developed Into A Discipline. The Approach In This Book Is To Highlight And Treat The Essential Aspects Of Nonlinear Vibrations At A Level Useful To Both Students And Practicing Engineers.Design, Development And Utilisation Of Most Active Systems/Equipments (I.E., Those With Movable Parts) Must Address Vibration Impact On Their Performance. Understanding Of Vibration Will Help Minimise The Impact Of Undesirable Vibrations And Use Vibrations To Advantage, Where Possible, Considering Applications Both Commonplace And In Highly Sophisticated Hi-Tech Areas Like Aerospace, Automated/Robot Controlled Production Industries, Etc.This Book Is Written To Convey Succinctly And Clearly The Various Aspects Of Nonlinear Vibrations Through A Judicious Choice Of Text Material, Profusely Illustrating Important Points, And Giving A Mathematical Tinge At A Level Easily Grasped By A Graduate/Undergraduate Student. As All Engineering Ideas Normally Culminate Into A Hardware Hem, This Book Will Serve All Interdisciplinary Fields Of Engineering.

Normal Modes and Localization in Nonlinear Systems

Author : Alexander F. Vakakis
Publisher : Springer Science & Business Media
ISBN 13 : 9401724520
Total Pages : 290 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Normal Modes and Localization in Nonlinear Systems by : Alexander F. Vakakis

Download or read book Normal Modes and Localization in Nonlinear Systems written by Alexander F. Vakakis and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nonlinear normal modes of a parametrically excited cantilever beam are constructed by directly applying the method of multiple scales to the governing integral-partial differential equation and associated boundary conditions. The effect of the inertia and curvature nonlin earities and the parametric excitation on the spatial distribution of the deflection is examined. The results are compared with those obtained by using a single-mode discretization. In the absence of linear viscous and quadratic damping, it is shown that there are nonlinear normal modes, as defined by Rosenberg, even in the presence of a principal parametric excitation. Furthermore, the nonlinear mode shape obtained with the direct approach is compared with that obtained with the discretization approach for some values of the excitation frequency. In the single-mode discretization, the spatial distribution of the deflection is assumed a priori to be given by the linear mode shape ¢n, which is parametrically excited, as Equation (41). Thus, the mode shape is not influenced by the nonlinear curvature and nonlinear damping. On the other hand, in the direct approach, the mode shape is not assumed a priori; the nonlinear effects modify the linear mode shape ¢n. Therefore, in the case of large-amplitude oscillations, the single-mode discretization may yield inaccurate mode shapes. References 1. Vakakis, A. F., Manevitch, L. I., Mikhlin, Y. v., Pilipchuk, V. N., and Zevin A. A., Nonnal Modes and Localization in Nonlinear Systems, Wiley, New York, 1996.

Vibrations of Nonlinear Systems

Author : Efim Natanovich Rozenvasser
Publisher :
ISBN 13 :
Total Pages : 530 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Vibrations of Nonlinear Systems by : Efim Natanovich Rozenvasser

Download or read book Vibrations of Nonlinear Systems written by Efim Natanovich Rozenvasser and published by . This book was released on 1971 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many diverse applied methods of investigating oscillations of nonlinear systems often in different mathematical formulations and outwardly not related to each other have been developed at the present time. The book deals with a systematic examination of several applied problems in the theory of nonlinear oscillations using the method of integral equations. By this approach it proves possible to establish an intimate relationship between small-parameter classical methods and the methods of investigating nonlinear systems of automatic control based on the so-called filter hypothesis, and to give the latter a rigorous foundation. All the results thus obtained are applicable to a broad class of systems described by nonlinear operator equations. The book also considers certain problems of periodic oscillations unrelated to the use of integral equations.

The Behaviour of Nonlinear Vibrating Systems

Author : Wanda Szemplinska
Publisher : Springer
ISBN 13 : 0792303695
Total Pages : 336 pages
Book Rating : 4.7/5 (923 download)

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Book Synopsis The Behaviour of Nonlinear Vibrating Systems by : Wanda Szemplinska

Download or read book The Behaviour of Nonlinear Vibrating Systems written by Wanda Szemplinska and published by Springer. This book was released on 1990-06-30 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to provide students, practicing engineers and scientists with a treatment of nonlinear phenomena occurring in physical systems. Although only mechanical models are used, the theory applies to all physical systems governed by the same equations, so that the book can be used to study nonlinear phenomena in other branches of engineering, such as electrical engineering and aerospace engineering, as well as in physics. The book consists of two volumes. Volume I is concerned with single degree-of-freedom systems and it presents the fundamental concepts of nonlinear analysis. Both analytical methods and computer simulations are included. The material is presented in such a manner that the book can be used as a graduate as well as an undergraduate textbook. Volume II deals with multi-degree-of-freedom systems. Following an introduc tion to linear systems, the volume presents fundamental concepts of geometric theory and stability of motion of general nonlinear systems, as well as a concise discussion of basic approximate methods for the response of such systems. The material represents a generalization of a series of papers on the vibration of nonlinear multi-degree-of-freedom systems, some of which were published by me and my associates during the period 1965 - 1983 and some are not yet published.

Nonlinear Vibration with Control

Author : David Wagg
Publisher : Springer Science & Business Media
ISBN 13 : 9048128374
Total Pages : 361 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Nonlinear Vibration with Control by : David Wagg

Download or read book Nonlinear Vibration with Control written by David Wagg and published by Springer Science & Business Media. This book was released on 2009-12-03 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors discuss the interrelationship of linear vibration theory for multi-degree-of-freedom systems; nonlinear dynamics and chaos; and nonlinear control. No other book covers these areas in the same way, so this is a new perspective on these topics.

Advanced Nonlinear Strategies for Vibration Mitigation and System Identification

Author : Alexander F. Vakakis
Publisher : Springer Science & Business Media
ISBN 13 : 3709102057
Total Pages : 307 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Advanced Nonlinear Strategies for Vibration Mitigation and System Identification by : Alexander F. Vakakis

Download or read book Advanced Nonlinear Strategies for Vibration Mitigation and System Identification written by Alexander F. Vakakis and published by Springer Science & Business Media. This book was released on 2011-01-27 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume address advanced nonlinear topics in the general areas of vibration mitigation and system identification, such as, methods of analysis of strongly nonlinear dyanmical systems; techniques and methodologies for interpreting complex, multi-frequency transitions in damped nonlinear responses; new approaches for passive vibration mitigation based on nonlinear targeted energy transfer (TET) and the associated concept of nonlinear energy sink (NES); and an overview and assessment of current nonlinear system identification techniques.

Nonlinear Oscillations

Author : Ali H. Nayfeh
Publisher : John Wiley & Sons
ISBN 13 : 3527617590
Total Pages : 720 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Nonlinear Oscillations by : Ali H. Nayfeh

Download or read book Nonlinear Oscillations written by Ali H. Nayfeh and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Oscillations is a self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. The book begins with fundamental concepts and techniques of analysis and progresses through recent developments and provides an overview that abstracts and introduces main nonlinear phenomena. It treats systems having a single degree of freedom, introducing basic concepts and analytical methods, and extends concepts and methods to systems having degrees of freedom. Most of this material cannot be found in any other text. Nonlinear Oscillations uses simple physical examples to explain nonlinear dispersive and nondispersive waves. The notation is unified and the analysis modified to conform to discussions. Solutions are worked out in detail for numerous examples, results are plotted and explanations are couched in physical terms. The book contains an extensive bibliography.

Nonlinear Random Vibration

Author : Cho W.S. To
Publisher : CRC Press
ISBN 13 : 1482287269
Total Pages : 257 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Nonlinear Random Vibration by : Cho W.S. To

Download or read book Nonlinear Random Vibration written by Cho W.S. To and published by CRC Press. This book was released on 2000-01-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a systematic presentation of several classes of analytical techniques in non-linear random vibration. The book also includes a concise treatment of Markovian and non-Markovian solutions of non-linear differential equations.

Nonlinear Dynamics: The Richard Rand 50th Anniversary Volume

Author : Ardeshir Guran
Publisher : World Scientific
ISBN 13 : 981450078X
Total Pages : 248 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Nonlinear Dynamics: The Richard Rand 50th Anniversary Volume by : Ardeshir Guran

Download or read book Nonlinear Dynamics: The Richard Rand 50th Anniversary Volume written by Ardeshir Guran and published by World Scientific. This book was released on 1997-12-16 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers on the subject of nonlinear dynamics and its applications written by experts in this field. It offers the reader a sampling of exciting research areas in this fast-growing field. The topics covered include chaos, tools to analyze motions, fractal boundaries, dynamics of the Fitzhugh-Nagumo equation, structural control, separation of contaminations from signal of interest, parametric excitation, stochastic bifurcation, mode localization in repetitive structures, Toda lattice, transition from soliton to chaotic motion, nonlinear normal modes, noise perturbations of nonlinear dynamical systems, and phase locking of coupled limit cycle oscillators. Mathematical methods include Lie transforms, Monte Carlo simulations, stochastic calculus, perturbation methods and proper orthogonal decomposition. Applications include gyrodynamics, tether connected satellites, shell buckling, nonlinear circuits, volume oscillations of a large lake, systems with stick-slip friction, imperfect or disordered structures, overturning of rigid blocks, central pattern generators, flow induced oscillations, shape control and vibration suppression of elastic structures.All of these diverse contributions have a common thread: the world of nonlinear behavior. Although linear dynamics is an invaluable tool, there are many problems where nonlinear effects are essential. Some examples include bifurcation of solutions, stability of motion, the effects of large displacements, and subharmonic resonance. This book shows how nonlinear dynamics is currently being utilized and investigated. It will be of interest to engineers, applied mathematicians and physicists.

Analysis and Control of Nonlinear Systems

Author : Yiqiao Gu
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (848 download)

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Book Synopsis Analysis and Control of Nonlinear Systems by : Yiqiao Gu

Download or read book Analysis and Control of Nonlinear Systems written by Yiqiao Gu and published by . This book was released on 1958 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Vibrational Mechanics

Author : Iliya I. Blekhman
Publisher : World Scientific
ISBN 13 : 9789810238902
Total Pages : 544 pages
Book Rating : 4.2/5 (389 download)

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Book Synopsis Vibrational Mechanics by : Iliya I. Blekhman

Download or read book Vibrational Mechanics written by Iliya I. Blekhman and published by World Scientific. This book was released on 2000 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "I think this new book has no real competitors. It should be of interest to university teachers and researchers in vibrations and mathematics, industrial vibration specialists and researchers, and university and company bookstores and libraries. It could even make up a textbook for one or more specialized courses in vibrations for graduate and postgraduate university classes".Jon Juel ThomsenTechnical University of Denmark"The monograph is highly descriptive and contains a great many of very vivid schematic diagrams demonstrating the impressive diversity of effects it reflects the author's superiority of understanding of the subject matter and his splendid teaching skills, and it is an outstanding, probably unrivalled work".ZAMM, 2001

Modal Analysis of Nonlinear Mechanical Systems

Author : Gaetan Kerschen
Publisher : Springer
ISBN 13 : 3709117917
Total Pages : 346 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Modal Analysis of Nonlinear Mechanical Systems by : Gaetan Kerschen

Download or read book Modal Analysis of Nonlinear Mechanical Systems written by Gaetan Kerschen and published by Springer. This book was released on 2014-10-13 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.