Vibrations Of Nonlinear Systems

Author : David Wagg,Simon Neild
Publisher : Springer
Page : 461 pages
File Size : 43,6 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 : P. Srinivasan
Publisher : John Wiley & Sons
Page : 308 pages
File Size : 48,8 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 : V.I. Babitsky,V.L. Krupenin
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 43,6 Mb
Release : 2012-11-02
Category : Technology & Engineering
ISBN : 9783540444886

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Vibration of Strongly Nonlinear Discontinuous Systems by V.I. Babitsky,V.L. Krupenin Pdf

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.

Author : Alexander F. Vakakis
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 52,5 Mb
Release : 2013-06-29
Category : Science
ISBN : 9789401724524

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Normal Modes and Localization in Nonlinear Systems by Alexander F. Vakakis Pdf

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.

Author : Malte Krack,Johann Gross
Publisher : Springer
Page : 159 pages
File Size : 43,9 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 : Wanda Szemplinska
Publisher : Springer Science & Business Media
Page : 370 pages
File Size : 48,8 Mb
Release : 1990-06-30
Category : Technology & Engineering
ISBN : 0792303695

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The Behaviour of Nonlinear Vibrating Systems by Wanda Szemplinska Pdf

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.

Author : Cho W.S. To
Publisher : CRC Press
Page : 268 pages
File Size : 51,7 Mb
Release : 2000-01-01
Category : Technology & Engineering
ISBN : 9026516371

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Nonlinear Random Vibration by Cho W.S. To Pdf

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.

Author : Efim Natanovich Rozenvasser
Publisher : Unknown
Page : 530 pages
File Size : 55,8 Mb
Release : 1971
Category : Integral equations
ISBN : WISC:89038743134

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Vibrations of Nonlinear Systems by Efim Natanovich Rozenvasser Pdf

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.

Author : James Johnston Stoker
Publisher : Unknown
Page : 273 pages
File Size : 44,7 Mb
Release : 1992
Category : Nonlinear acoustics
ISBN : OCLC:1204099954

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Nonlinear Vibrations in Mechanical and Electrical Systems by James Johnston Stoker Pdf

Author : G. Schmidt,A. Tondl
Publisher : Walter de Gruyter GmbH & Co KG
Page : 420 pages
File Size : 44,9 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 : David Wagg,Simon Neild
Publisher : Springer Science & Business Media
Page : 361 pages
File Size : 45,5 Mb
Release : 2009-12-03
Category : Technology & Engineering
ISBN : 9789048128372

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Nonlinear Vibration with Control by David Wagg,Simon Neild Pdf

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.

Author : Wanda Szemplinska
Publisher : Springer
Page : 260 pages
File Size : 55,9 Mb
Release : 1990-06-30
Category : Technology & Engineering
ISBN : 9780792303688

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The Behaviour of Nonlinear Vibrating Systems by Wanda Szemplinska Pdf

Author : Yiqiao Gu
Publisher : Unknown
Page : 384 pages
File Size : 42,7 Mb
Release : 1958
Category : Differential equations
ISBN : UOM:39015002004466

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Analysis and Control of Nonlinear Systems by Yiqiao Gu Pdf

Author : J. J. Stoker
Publisher : Wiley-Interscience
Page : 300 pages
File Size : 44,8 Mb
Release : 1992-01-24
Category : Mathematics
ISBN : UOM:49015001444760

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Nonlinear Vibrations in Mechanical and Electrical Systems by J. J. Stoker Pdf

Presents underlying principles and theories using an easily understood approach. Focuses specifically on those features of the problems in which nonlinearity results in a variety of distinctive new phenomena that can be treated by techniques both interesting and instructive in themselves and which do not require the use of sophisticated mathematics. Recent work discussed includes the endeavors of Levinson and Smith on the existence and uniqueness of the periodic solution in a general case of the self-excited type, Haag and Dorodnitsyn on asymptotic developments and quantities associated with relaxation oscillations. Along with 5 appendices containing rigorous existence and uniqueness proofs, readers are both implicitly and explicitly supplied with hints regarding new problems to be tackled plus numerous ideas and techniques that can be used to solve them.

Author : J. S. Rao
Publisher : John Wiley & Sons
Page : 454 pages
File Size : 48,7 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.