Harmonic Balance For Nonlinear Vibration Problems

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Harmonic Balance for Nonlinear Vibration Problems

Malte Krack,Johann Gross
Harmonic Balance for Nonlinear Vibration Problems Book PDF

Author : Malte Krack,Johann Gross
Publisher : Springer
Page : 159 pages
File Size : 52,7 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.

Nonlinear Vibration with Control

David Wagg,Simon Neild
Nonlinear Vibration with Control Book PDF

Author : David Wagg,Simon Neild
Publisher : Springer Science & Business Media
Page : 361 pages
File Size : 51,8 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.

Truly Nonlinear Oscillations

Ronald E. Mickens
Truly Nonlinear Oscillations Book PDF

Author : Ronald E. Mickens
Publisher : World Scientific
Page : 261 pages
File Size : 44,7 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814291651

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Truly Nonlinear Oscillations by Ronald E. Mickens Pdf

This unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of "truly nonlinear" (TNL) oscillator equations. The volume gives a general overview of the author's work on harmonic balance, iteration and combined linearization-averaging methods. However, full discussions are also presented on parameter expansion procedures and a first-order averaging technique for TNL oscillators. The calculational basis of each method is clarified by applying them to a set of standard TNL oscillator equations. This allows a direct comparison to be made among the various methods. The book is self-contained and therefore suitable for both classroom use and self-study by students and professionals who desire to learn, understand, and apply this technique to the field of nonlinear oscillations.

Advances in Nonlinear Dynamics

Walter Lacarbonara,Balakumar Balachandran,Michael J. Leamy,Jun Ma,J. A. Tenreiro Machado,Gabor Stepan
Advances in Nonlinear Dynamics Book PDF

Author : Walter Lacarbonara,Balakumar Balachandran,Michael J. Leamy,Jun Ma,J. A. Tenreiro Machado,Gabor Stepan
Publisher : Springer Nature
Page : 579 pages
File Size : 47,8 Mb
Release : 2022-03-01
Category : Technology & Engineering
ISBN : 9783030811662

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Advances in Nonlinear Dynamics by Walter Lacarbonara,Balakumar Balachandran,Michael J. Leamy,Jun Ma,J. A. Tenreiro Machado,Gabor Stepan Pdf

This second of three volumes includes papers from the second series of NODYCON which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include · Nonlinear vibration control · Control of nonlinear systems and synchronization · Experimental dynamics · System identification and SHM · Multibody dynamics

Nonlinear Structures & Systems, Volume 1

Matthew R.W. Brake,Ludovic Renson,Robert J. Kuether,Paolo Tiso
Nonlinear Structures Systems Volume 1 Book PDF

Author : Matthew R.W. Brake,Ludovic Renson,Robert J. Kuether,Paolo Tiso
Publisher : Springer Nature
Page : 291 pages
File Size : 44,7 Mb
Release : 2022-07-28
Category : Technology & Engineering
ISBN : 9783031040863

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Nonlinear Structures & Systems, Volume 1 by Matthew R.W. Brake,Ludovic Renson,Robert J. Kuether,Paolo Tiso Pdf

Nonlinear Structures & Systems, Volume 1: Proceedings of the 40th IMAC, A Conference and Exposition on Structural Dynamics, 2022, the first volume of nine from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Nonlinear Dynamics, including papers on: Experimental Nonlinear Dynamics Jointed Structures: Identification, Mechanics, Dynamics Nonlinear Damping Nonlinear Modeling and Simulation Nonlinear Reduced-Order Modeling Nonlinearity and System Identification

Nonlinear Structures & Systems, Volume 1

Gaetan Kerschen,Matthew R.W. Brake,Ludovic Renson
Nonlinear Structures Systems Volume 1 Book PDF

Author : Gaetan Kerschen,Matthew R.W. Brake,Ludovic Renson
Publisher : Springer Nature
Page : 291 pages
File Size : 50,8 Mb
Release : 2020-09-12
Category : Technology & Engineering
ISBN : 9783030476267

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Nonlinear Structures & Systems, Volume 1 by Gaetan Kerschen,Matthew R.W. Brake,Ludovic Renson Pdf

Nonlinear Structures & Systems, Volume 1: Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics, 2020, the first volume of eight from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Nonlinear Dynamics, including papers on: Nonlinear Reduced-order Modeling Jointed Structures: Identification, Mechanics, Dynamics Experimental Nonlinear Dynamics Nonlinear Model & Modal Interactions Nonlinear Damping Nonlinear Modeling & Simulation Nonlinearity & System Identification

The Behaviour of Nonlinear Vibrating Systems

Wanda Szemplinska
The Behaviour of Nonlinear Vibrating Systems Book PDF

Author : Wanda Szemplinska
Publisher : Springer
Page : 336 pages
File Size : 40,5 Mb
Release : 1990-06-30
Category : Technology & Engineering
ISBN : 9780792303695

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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.

Nonlinear Mechanical Vibrations

P. Srinivasan
Nonlinear Mechanical Vibrations Book PDF

Author : P. Srinivasan
Publisher : John Wiley & Sons
Page : 308 pages
File Size : 47,5 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.

Calm, Smooth and Smart

Peter Eberhard
Calm Smooth and Smart Book PDF

Author : Peter Eberhard
Publisher : Springer Nature
Page : 353 pages
File Size : 45,9 Mb
Release : 2023-09-19
Category : Technology & Engineering
ISBN : 9783031361432

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Calm, Smooth and Smart by Peter Eberhard Pdf

This book contains and summarizes research carried out within the DFG Priority Programme 1897: "Calm, Smooth and Smart - Novel Approaches for Influencing Vibrations by Means of Deliberately Introduced Dissipation". The contributions help reduce unwanted vibrations by developing novel approaches for influencing them and lead to a “calm, smooth and smart” behaviour of technical units. “Calm” represents the demand to avoid or at least to severely reduce unwanted noise generated by technical installations. “Smooth” ensures a still comfortable and jerk-free operation of them. Finally, “smart” means that the introduced damping devices not only help to achieve the desired vibrational behaviour of the overall technical systems, but also that they take over additional functional tasks. The results presented in this volume summarize the state-of-the-art and provide motivation for future research. The book is intended for experienced researchers as well as for doctoral and post-doctoral students in engineering, mathematics and physics, as well as industrial researchers interested in the field.

Nonlinear Vibrations in Mechanical and Electrical Systems

J. J. Stoker
Nonlinear Vibrations in Mechanical and Electrical Systems Book PDF

Author : J. J. Stoker
Publisher : Wiley-Interscience
Page : 300 pages
File Size : 50,5 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.

Introduction to Experimental Nonlinear Dynamics

Lawrence N. Virgin
Introduction to Experimental Nonlinear Dynamics Book PDF

Author : Lawrence N. Virgin
Publisher : Cambridge University Press
Page : 270 pages
File Size : 53,9 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.

On the Influence of Piecewise Defined Contact Geometries on Friction Dampers

Aramendiz Fuentes, Jimmy Alberto
On the Influence of Piecewise Defined Contact Geometries on Friction Dampers Book PDF

Author : Aramendiz Fuentes, Jimmy Alberto
Publisher : KIT Scientific Publishing
Page : 180 pages
File Size : 48,7 Mb
Release : 2023-09-12
Category : Electronic
ISBN : 9783731512677

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On the Influence of Piecewise Defined Contact Geometries on Friction Dampers by Aramendiz Fuentes, Jimmy Alberto Pdf

This work considers dampers that do not solely focus on a single strategy but instead combine them. The capabilities of conventional dry friction dampers are expanded by taking into account piecewise defined contact geometries. This leads to friction dampers that change their behavior depending on the amplitude of the oscillations. The vibration damping device in this work, introduces damping at high oscillation amplitudes and takes advantage of absorption at low oscillation amplitudes.

Dynamic Substructures, Volume 4

Matthew Allen,Walter D'Ambrogio,Dan Roettgen
Dynamic Substructures Volume 4 Book PDF

Author : Matthew Allen,Walter D'Ambrogio,Dan Roettgen
Publisher : Springer Nature
Page : 133 pages
File Size : 47,9 Mb
Release : 2022-07-05
Category : Technology & Engineering
ISBN : 9783031040948

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Dynamic Substructures, Volume 4 by Matthew Allen,Walter D'Ambrogio,Dan Roettgen Pdf

Dynamics of Coupled Structures, Volume 4: Proceedings of the 40th IMAC, A Conference and Exposition on Structural Dynamics, 2022, the fourth volume of nine from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of the Dynamics of Coupled Structures, including papers on: Transfer Path Analysis Blocked Forces and Experimental Techniques Real-Time Hybrid Substructuring and Uncertainty Quantification in Substructuring Nonlinear Substructuring

Advanced Theory of Vibration

J. S. Rao
Advanced Theory of Vibration Book PDF

Author : J. S. Rao
Publisher : New Age International
Page : 452 pages
File Size : 50,7 Mb
Release : 1992
Category : Science
ISBN : 8122404421

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Advanced Theory of Vibration by J. S. Rao Pdf

The Theory Of Vibration - Particularly Advanced Theory - Is Scattered Over A Large Number Of Publications Relating To Different Disciplines. What Has Been Attempted In The Present Book Is A Comprehensive Consolidation Of Them And Its Presentation In A Concise Manner For The Benefit Of Those Aspiring To Specialise In Vibration Studies At Postgraduate And Doctoral Level. The Contents Of This Book Have Got Crystallised Over A Period Of 25 Years While Teaching And Guiding Doctoral Level Research. The Emphasis In This Book Is On Analysis Of Continuous Rather Than Discrete System Models. A Concise Treatment Of Variational Principles And Their Application To Vibration Problems Is Given Next. Vibration Theories Of Viscoelastic Materials In Longitudinal Vibration And Lateral Vibration Are Also Considered At Length.Solutions To Problems Of Free And Forced Vibrations Are Presented. The Book Seeks To Explain To Students A Large Variety Of Problems Of One-Dimensional Structures.

Classical and Quantum Parametric Phenomena

Oded Zilberberg,Alexander Eichler
Classical and Quantum Parametric Phenomena Book PDF

Author : Oded Zilberberg,Alexander Eichler
Publisher : Oxford University Press
Page : 193 pages
File Size : 40,8 Mb
Release : 2023-09-26
Category : Parametric oscillators
ISBN : 9780192862709

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Classical and Quantum Parametric Phenomena by Oded Zilberberg,Alexander Eichler Pdf

Classical and Quantum Parametric Phenomena provides an overview of the phenomena arising when parametric pumping is applied to oscillators. These phenomena include parametric amplification, noise squeezing, spontaneous symmetry breaking, activated switching, cat states, and synthetic Ising spin lattices. To understand these effects, topics are introduced such as nonlinear and stochastic dynamics, coupled systems, and quantum mechanics. Throughout the book, introductions are succinct as possible and attention is focused on understanding parametric oscillators. As a result, the text helps readers to familiarize themselves with many aspects of parametric systems and understand the common theoretical origin of nanomechanical sensors, optical amplifiers, and superconducting qubits. Parametric phenomena have enabled important scientific breakthroughs over the last decades and are still at the focus of intense research efforts. This book provides a resource for experimental and theoretical physicists entering the field or wishing to gain a deeper understanding of the underlying connections. This includes combining formal and intuitive explanations, accompanied by exercises based on numerical Python codes. This combination allows readers to experience parametric phenomena from various directions and apply their understanding directly to their own projects.