Nonlinear Vibration Problems

Author : Malte Krack,Johann Gross
Publisher : Springer
Page : 159 pages
File Size : 50,9 Mb
Release : 2019-03-23
Category : Technology & Engineering
ISBN : 9783030140236

Get Book

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 : David Wagg,Simon Neild
Publisher : Springer Science & Business Media
Page : 361 pages
File Size : 42,6 Mb
Release : 2009-12-03
Category : Technology & Engineering
ISBN : 9789048128372

Get Book

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 : David Wagg,Simon Neild
Publisher : Springer
Page : 461 pages
File Size : 45,6 Mb
Release : 2014-11-03
Category : Technology & Engineering
ISBN : 9783319106441

Get Book

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 : Anonim
Publisher : Unknown
Page : 355 pages
File Size : 46,6 Mb
Release : 1967
Category : Vibration
ISBN : OCLC:29580138

Get Book

Nonlinear Vibration Problems by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 672 pages
File Size : 44,9 Mb
Release : 1964
Category : Nonlinear mechanics
ISBN : CORNELL:31924004126490

Get Book

Second Conference on Nonlinear Vibrations, Warsaw, Sept. 18-21, 1962 by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 678 pages
File Size : 44,5 Mb
Release : 1964
Category : Nonlinear oscillations
ISBN : STANFORD:36105002066426

Get Book

Nonlinear Vibration Problems by Anonim Pdf

Author : J. S. Rao
Publisher : New Age International
Page : 452 pages
File Size : 49,7 Mb
Release : 1992
Category : Science
ISBN : 8122404421

Get Book

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.

Author : Marco Amabili
Publisher : Cambridge University Press
Page : 0 pages
File Size : 48,7 Mb
Release : 2014-08-21
Category : Science
ISBN : 1107435420

Get Book

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 : Phil Ross Cobb,Stanford University. Division of Engineering Mechanics
Publisher : Unknown
Page : 182 pages
File Size : 47,7 Mb
Release : 1957
Category : Vibration
ISBN : STANFORD:36105001783781

Get Book

Nonlinear Vibration Problems Treated by Extensions of the Ritz Averaging Method by Phil Ross Cobb,Stanford University. Division of Engineering Mechanics Pdf

Author : P. Srinivasan
Publisher : John Wiley & Sons
Page : 308 pages
File Size : 49,8 Mb
Release : 1995
Category : Science
ISBN : STANFORD:36105019295364

Get Book

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 : Wanda Szemplinska
Publisher : Springer Science & Business Media
Page : 370 pages
File Size : 46,7 Mb
Release : 1990-06-30
Category : Technology & Engineering
ISBN : 0792303695

Get Book

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 : D. E. Newland
Publisher : Courier Corporation
Page : 612 pages
File Size : 49,8 Mb
Release : 2013-04-26
Category : Science
ISBN : 9780486317724

Get Book

Mechanical Vibration Analysis and Computation by D. E. Newland Pdf

Focusing on applications rather than rigorous proofs, this volume is suitable for upper-level undergraduates and graduate students concerned with vibration problems. In addition, it serves as a practical handbook for performing vibration calculations. An introductory chapter on fundamental concepts is succeeded by explorations of frequency response of linear systems and general response properties, matrix analysis, natural frequencies and mode shapes, singular and defective matrices, and numerical methods for modal analysis. Additional topics include response functions and their applications, discrete response calculations, systems with symmetric matrices, continuous systems, and parametric and nonlinear effects. The text is supplemented by extensive appendices and answers to selected problems. This volume functions as a companion to the author's introductory volume on random vibrations (see below). Each text can be read separately; and together, they cover the entire field of mechanical vibrations analysis, including random and nonlinear vibrations and digital data analysis.

Author : Valery A. Svetlitsky
Publisher : Springer Science & Business Media
Page : 243 pages
File Size : 44,7 Mb
Release : 2013-06-29
Category : Technology & Engineering
ISBN : 9783540444039

Get Book

Engineering Vibration Analysis by Valery A. Svetlitsky Pdf

Constantly increasing attention is paid in the course 'Vibration 'Theory' to vibration of mechanical systems with distributed parameters, since the real elements of machines, devices, and constructions are made of materials that are not perfectly rigid. 'Therefore, vibrations of the objects including, for ex ample, rod elastic elements excite the vibrations of these elements, which can produce a substantial effect on dynamic characteristics of moving objects and on readings of instruments. For a mechanical engineer working in the field of design of new technolo gies the principal thing is his know-how in developing the sophisticated math ematical models in which all specific features of operation of the objects under design in real conditions are meticulously taken into account. So, the main emphasis in this book is made on the methods of derivation of equations and on the algorithms of solving them (exactly or approximately) taking into con sideration all features of actual behavior of the forces acting upon elastic rod elements. 'The eigen value and eigen vector problems are considered at vibrations of curvilinear rods (including the rods with concentrated masses). Also consid ered are the problems with forced vibrations. When investigating into these problems an approximate method of numerical solution of the systems of lin ear differential equations in partial derivatives is described, which uses the principle of virtual displacements. Some problems are more complicated than others and can be used for practical works of students and their graduation theses.

Author : Jose Manoel Balthazar
Publisher : Springer Nature
Page : 407 pages
File Size : 42,5 Mb
Release : 2022-04-18
Category : Technology & Engineering
ISBN : 9783030966034

Get Book

Nonlinear Vibrations Excited by Limited Power Sources by Jose Manoel Balthazar Pdf

The book covers a wide range of applied engineering research compactly presented in one volume, and shows innovative practical engineering solutions for automotive, marine and aviation industries, as well as power generation related to nonlinear vibrations excited by limited power sources. While targeting primarily the audience of professional scientists and engineers, the book can also be useful for graduate students, and for all of those who are relatively new to the area and are looking for a single source with a good overview of the state-of-the-art as well as up-to-date information on theories, analytical, numerical methods, and their applications in design, simulations, testing, and manufacturing. The readers will find here a rich mixture of approaches, software tools and case studies used to investigate and optimize diverse powertrains, their functional units and separate machine parts based on different physical phenomena, their mathematical model representations, solution algorithms, and experimental validation.

Author : J. J. Stoker
Publisher : Wiley-Interscience
Page : 300 pages
File Size : 50,9 Mb
Release : 1992-01-24
Category : Mathematics
ISBN : UOM:49015001444760

Get Book

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.