Vibrations Of Nonlinear Systems
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Nonlinear Mechanical Vibrations
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Author : P. Srinivasan
language : en
Publisher: John Wiley & Sons
Release Date : 1995
Nonlinear Mechanical Vibrations written by P. Srinivasan and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.
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.
Vibration Of Strongly Nonlinear Discontinuous Systems
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Author : V.I. Babitsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-02
Vibration Of Strongly Nonlinear Discontinuous Systems written by V.I. Babitsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-02 with Technology & Engineering categories.
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.
Advanced Theory Of Vibration
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Author : J. S. Rao
language : en
Publisher: John Wiley & Sons
Release Date : 1992
Advanced Theory Of Vibration written by J. S. Rao and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Technology & Engineering categories.
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.
Nonlinear Random Vibration
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Author : Cho W.S. To
language : en
Publisher: CRC Press
Release Date : 2000-01-01
Nonlinear Random Vibration written by Cho W.S. To and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Technology & Engineering categories.
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.
Normal Modes And Localization In Nonlinear Systems
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Author : Alexander F. Vakakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Normal Modes And Localization In Nonlinear Systems written by Alexander F. Vakakis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
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.
The Behaviour Of Nonlinear Vibrating Systems
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Author : Wanda Szemplinska
language : en
Publisher: Springer
Release Date : 1990-06-30
The Behaviour Of Nonlinear Vibrating Systems written by Wanda Szemplinska and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-06-30 with Technology & Engineering categories.
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 Vibrations In Mechanical And Electrical Systems
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Author : J. J. Stoker
language : en
Publisher: Wiley-Interscience
Release Date : 1992-01-24
Nonlinear Vibrations In Mechanical And Electrical Systems written by J. J. Stoker and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-24 with Mathematics categories.
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.
Nonlinear Vibration With Control
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Author : David Wagg
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-03
Nonlinear Vibration With Control written by David Wagg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-03 with Technology & Engineering categories.
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.
Non Linear Vibrations
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Author : G. Schmidt
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 1986-12-31
Non Linear Vibrations written by G. Schmidt and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-12-31 with Science categories.
No detailed description available for "Non-Linear Vibrations".
Vibrations And Stability
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Author : Jon Juel Thomsen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Vibrations And Stability written by Jon Juel Thomsen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Technology & Engineering categories.
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.