Non Linear Vibrations

Author : David Wagg,Simon Neild
Publisher : Springer
Page : 461 pages
File Size : 49,9 Mb
Release : 2014-11-03
Category : Technology & Engineering
ISBN : 9783319106441

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Nonlinear Vibration with Control by David Wagg,Simon Neild Pdf

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.

Author : G. Schmidt,A. Tondl
Publisher : Walter de Gruyter GmbH & Co KG
Page : 420 pages
File Size : 52,8 Mb
Release : 1986-12-31
Category : Science
ISBN : 9783112721759

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Non-Linear Vibrations by G. Schmidt,A. Tondl Pdf

No detailed description available for "Non-Linear Vibrations".

Author : Marco Amabili
Publisher : Cambridge University Press
Page : 0 pages
File Size : 50,5 Mb
Release : 2014-08-21
Category : Science
ISBN : 1107435420

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Nonlinear Vibrations and Stability of Shells and Plates by Marco Amabili Pdf

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.

Author : Malte Krack,Johann Gross
Publisher : Springer
Page : 159 pages
File Size : 47,9 Mb
Release : 2019-03-23
Category : Technology & Engineering
ISBN : 9783030140236

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Harmonic Balance for Nonlinear Vibration Problems by Malte Krack,Johann Gross Pdf

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.

Author : Ard‚shir Guran
Publisher : World Scientific
Page : 254 pages
File Size : 40,7 Mb
Release : 1997
Category : Science
ISBN : 9810229828

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Nonlinear Dynamics by Ard‚shir Guran Pdf

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.

Author : Ali H. Nayfeh,Dean T. Mook
Publisher : John Wiley & Sons
Page : 720 pages
File Size : 51,9 Mb
Release : 2008-09-26
Category : Science
ISBN : 9783527617593

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Nonlinear Oscillations by Ali H. Nayfeh,Dean T. Mook Pdf

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.

Author : M.C. Cartmell
Publisher : Springer
Page : 242 pages
File Size : 43,7 Mb
Release : 1990-06-30
Category : Technology & Engineering
ISBN : 9780412307300

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Introduction to Linear, Parametric and Non-Linear Vibrations by M.C. Cartmell Pdf

Author : J. S. Rao
Publisher : John Wiley & Sons
Page : 454 pages
File Size : 54,7 Mb
Release : 1992
Category : Technology & Engineering
ISBN : UCSD:31822015517469

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Advanced Theory of Vibration by J. S. Rao Pdf

Addresses analytical and graphical methods, numerical techniques and stability analysis in a comprehensive manner with engineering examples at various stages in the text. Discusses the development of diverse theories, outlining the latest refinements to classical theories of bars, rods and beams. Features a number of case studies regarding axial vibration (including viscoelastic members) and torsional vibrations of noncircular cross section rods. Contains extensive coverage of lateral vibration of beams, Coriolis effects, nonlinear vibrations, pretwisted and sandwiched beams and much more.

Author : Livija Cveticanin
Publisher : Springer
Page : 317 pages
File Size : 44,9 Mb
Release : 2017-05-29
Category : Technology & Engineering
ISBN : 9783319588261

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Strong Nonlinear Oscillators by Livija Cveticanin Pdf

This textbook presents the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. It presents the author’s original method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameters is considered. In this second edition of the book, the number of approximate solving procedures for strong nonlinear oscillators is enlarged and a variety of procedures for solving free strong nonlinear oscillators is suggested. A method for error estimation is also given which is suitable to compare the exact and approximate solutions. Besides the oscillators with one degree-of-freedom, the one and two mass oscillatory systems with two-degrees-of-freedom and continuous oscillators are considered. The chaos and chaos suppression in ideal and non-ideal mechanical systems is explained. In this second edition more attention is given to the application of the suggested methodologies and obtained results to some practical problems in physics, mechanics, electronics and biomechanics. Thus, for the oscillator with two degrees-of-freedom, a generalization of the solving procedure is performed. Based on the obtained results, vibrations of the vocal cord are analyzed. In the book the vibration of the axially purely nonlinear rod as a continuous system is investigated. The developed solving procedure and the solutions are applied to discuss the muscle vibration. Vibrations of an optomechanical system are analyzed using the oscillations of an oscillator with odd or even quadratic nonlinearities. The extension of the forced vibrations of the system is realized by introducing the Ateb periodic excitation force which is the series of a trigonometric function. The book is self-consistent and suitable for researchers and as a textbook for students and also professionals and engineers who apply these techniques to the field of nonlinear oscillations.

Author : Lawrence N. Virgin
Publisher : Cambridge University Press
Page : 270 pages
File Size : 51,9 Mb
Release : 2000-03-28
Category : Science
ISBN : 0521779316

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Introduction to Experimental Nonlinear Dynamics by Lawrence N. Virgin Pdf

A case study in mechanical vibration introduces the subject of nonlinear dynamics and chaos.

Author : P. Srinivasan
Publisher : John Wiley & Sons
Page : 308 pages
File Size : 47,6 Mb
Release : 1995
Category : Science
ISBN : STANFORD:36105019295364

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Nonlinear Mechanical Vibrations by P. Srinivasan Pdf

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.

Author : Jon Juel Thomsen
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 44,7 Mb
Release : 2013-11-11
Category : Technology & Engineering
ISBN : 9783662107935

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Vibrations and Stability by Jon Juel Thomsen Pdf

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.

Author : Arabinda Roy,Rasajit Kumar Bera
Publisher : CRC Press
Page : 597 pages
File Size : 53,7 Mb
Release : 2019-12-06
Category : Technology & Engineering
ISBN : 9781000758146

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Linear and Non-Linear Deformations of Elastic Solids by Arabinda Roy,Rasajit Kumar Bera Pdf

Linear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.

Author : Marco Amabili
Publisher : Cambridge University Press
Page : 391 pages
File Size : 54,7 Mb
Release : 2008-01-14
Category : Science
ISBN : 9781139469029

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Nonlinear Vibrations and Stability of Shells and Plates by Marco Amabili Pdf

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.

Author : Juan Carlos A. Jauregui Correa
Publisher : Elsevier
Page : 220 pages
File Size : 51,6 Mb
Release : 2014-12-11
Category : Technology & Engineering
ISBN : 9781782421665

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Parameter Identification and Monitoring of Mechanical Systems Under Nonlinear Vibration by Juan Carlos A. Jauregui Correa Pdf

Development of new sensors and digital processors has provided opportunity for identification of nonlinear systems. Vibration measurements have become standard for predicting and monitoring machinery in industry. Parameter Identification and Monitoring of Mechanical Systems under Nonlinear Vibration focusses on methods for the identification of nonlinearities in mechanical systems, giving description and examples of practical application. Chapters cover nonlinear dynamics; nonlinear vibrations; signal processing; parameter identification; application of signal processing to mechanical systems; practical experience and industrial applications; and synchronization of nonlinear systems. Covers the most recent advances in machinery monitoring Describes the basis for nonlinear dynamics Presents advantages of applying modern signal processing to mechanical systems