Vibrations and Stability
Vibrations and Stability

Author: Jon Juel Thomsen

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 420

ISBN-13: 3662107937

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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.

Nonlinear Vibrations and Stability of Shells and Plates
Nonlinear Vibrations and Stability of Shells and Plates

Author: Marco Amabili

Publisher: Cambridge University Press

Published: 2008-01-14

Total Pages: 391

ISBN-13: 1139469029

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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.

Stability and Vibrations of Thin-Walled Composite Structures
Stability and Vibrations of Thin-Walled Composite Structures

Author: Haim Abramovich

Publisher: Woodhead Publishing

Published: 2017-05-29

Total Pages: 772

ISBN-13: 008100429X

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Stability and Vibrations of Thin-Walled Composite Structures presents engineering and academic knowledge on the stability (buckling and post buckling) and vibrations of thin walled composite structures like columns, plates, and stringer stiffened plates and shells, which form the basic structures of the aeronautical and space sectors. Currently, this knowledge is dispersed in several books and manuscripts, covering all aspects of composite materials. The book enables both engineers and academics to locate valuable, up-to-date knowledge on buckling and vibrations, be it analytical or experimental, and use it for calculations or comparisons. The book is also useful as a textbook for advanced-level graduate courses. - Presents a unified, systematic, detailed and comprehensive overview of the topic - Contains contributions from leading experts in the field - Includes a dedicated section on testing and experimental results

Nonlinear Dynamics: The Richard Rand 50th Anniversary Volume
Nonlinear Dynamics: The Richard Rand 50th Anniversary Volume

Author: Ardeshir Guran

Publisher: World Scientific

Published: 1997-12-16

Total Pages: 248

ISBN-13: 981450078X

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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.

Multiparameter Stability Theory with Mechanical Applications
Multiparameter Stability Theory with Mechanical Applications

Author: Alexander P. Seyranian

Publisher: World Scientific

Published: 2003

Total Pages: 421

ISBN-13: 9812384065

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This book deals with fundamental problems, concepts, and methods of multiparameter stability theory with applications in mechanics. It presents recent achievements and knowledge of bifurcation theory, sensitivity analysis of stability characteristics, general aspects of nonconservative stability problems, analysis of singularities of boundaries for the stability domains, stability analysis of multiparameter linear periodic systems, and optimization of structures under stability constraints. Systems with finite degrees of freedom and with continuous models are both considered. The book combines mathematical foundation with interesting classical and modern mechanical problems.A number of mechanical problems illustrating how bifurcations and singularities change the behavior of systems and lead to new physical phenomena are discussed. Among these problems, the authors consider systems of rotating bodies, tubes conveying fluid, elastic columns under the action of periodic and follower forces, optimization problems for conservative systems, etc. The methods presented are constructive and easy to implement in computer programs.This book is addressed to graduate students, academics, researchers, and practitioners in aerospace, naval, civil, and mechanical engineering. No special background is needed; just a basic knowledge of mathematics and mechanics.

Vibration Damping
Vibration Damping

Author: Ahid D. Nashif

Publisher: John Wiley & Sons

Published: 1991-01-16

Total Pages: 484

ISBN-13: 9780471867722

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A practical approach to the application of viscoelastic damping materials to control vibration and noise problems in industrial structures, machinery, computer machinery, and vehicles. Assuming a basic understanding of mechanical engineering, the text covers implementation of theory, including material properties, dynamic structural response, design procedures and practical applications. Based on an understanding of both the properties of materials and the vibrational response of structures. Considers individual structures and the damping materials properties simultaneously. Includes extensive collection of data sheets for a large number of useful damping materials.

Theory of Arched Structures
Theory of Arched Structures

Author: Igor A Karnovsky

Publisher: Springer Science & Business Media

Published: 2011-12-19

Total Pages: 449

ISBN-13: 1461404681

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Theory of Arched Structures: Strength, Stability, Vibration presents detailed procedures for analytical analysis of the strength, stability, and vibration of arched structures of different types, using exact analytical methods of classical structural analysis. The material discussed is divided into four parts. Part I covers stress and strain with a particular emphasis on analysis; Part II discusses stability and gives an in-depth analysis of elastic stability of arches and the role that matrix methods play in the stability of the arches; Part III presents a comprehensive tutorial on dynamics and free vibration of arches, and forced vibration of arches; and Part IV offers a section on special topics which contains a unique discussion of plastic analysis of arches and the optimal design of arches..

Stability Theory of Elastic Rods
Stability Theory of Elastic Rods

Author: Teodor M. Atanackovic

Publisher: World Scientific

Published: 1997

Total Pages: 441

ISBN-13: 9810230540

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This book treats stability problems of equilibrium states of elastic rods. Euler energy and dynamical methods of stability analysis are introduced and stability criteria for each method is developed. Stability analysis is accompanied by a number of classical conservative and non-conservative, two- and three-dimensional problems. Some problems are treated by all three methods. Many generalized versions of known problems are presented (heavy vertical rod, rotating rod, Greenhill's problem, Beck's column, Pflger's rod, strongest column, etc.). The generalizations consist in using either a generalized form of constitutive equations or a more general form of loading, or both. Special attention is paid to the influence of shear stresses and axis compressibility on the value of the critical load. Variational methods are applied to obtain estimates of the critical load and maximal deflection in the post-critical state, in a selected number of examples.

Engineering Vibration Analysis
Engineering Vibration Analysis

Author: Valery A. Svetlitsky

Publisher: Springer Science & Business Media

Published: 2012-11-07

Total Pages: 325

ISBN-13: 354040970X

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Theory of vibrations belongs to principal subjects needed for training mechani cal engineers in technological universities. Therefore, the basic goal of the mono graph "Advanced Theory of Vibrations 1" is to help students studying vibration theory for gaining experience in application of this theory for solving particular problems. Thus, while choosing the problems and methods to solve them, the close attention was paid to the applied content of vibration theory. The monograph is devoted to systems with a single degree of freedom and sys tems with a finite number of degrees of freedom. In particular, problems are for mulated associated with determination of frequencies and forms of vibrations, study of forced vibrations, analysis of both stable and unstable vibrations (includ ing those caused by periodic but anharmonic forces). The problems of nonlinear vibrations and of vibration stability, and those related to seeking probabilistic characteristics for solutions to these problems in the case of random forces are also considered. Problems related to parametric vibrations and statistical dynamics of mechanical systems, as well as to determination of critical parameters and of dy namic stability are also analyzed. As a rule, problems presented in the monograph are associated with particular mechanical systems and can be applied for current studies in vibration theory. Al lowing for interests of students independently studying theory of vibrations, the majority of problems are supplied with either detailed solutions or algorithms of the solutions.

Principles and Techniques of Vibrations
Principles and Techniques of Vibrations

Author: Leonard Meirovitch

Publisher: Pearson

Published: 1997

Total Pages: 712

ISBN-13:

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Thisbook will be of interest to mechanical engineers, aerospace engineers, and engineering science and mechanics faculty. The main objective of the book is to present a mathematically rigorous approach to vibrations, one that not only permits efficient formulations and solutions to problems, but also enhances understanding of the physics of the problem. The book takes a very broad view approach to the subject so that the similarity of dynamic characteristics of vibrating systems will be understood.