Nonlinear Resonance Analysis

Author : Elena Kartashova
Publisher : Cambridge University Press
Page : 241 pages
File Size : 50,8 Mb
Release : 2010-10-21
Category : Science
ISBN : 9781139493086

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Nonlinear Resonance Analysis by Elena Kartashova Pdf

Nonlinear resonance analysis is a unique mathematical tool that can be used to study resonances in relation to, but independently of, any single area of application. This is the first book to present the theory of nonlinear resonances as a new scientific field, with its own theory, computational methods, applications and open questions. The book includes several worked examples, mostly taken from fluid dynamics, to explain the concepts discussed. Each chapter demonstrates how nonlinear resonance analysis can be applied to real systems, including large-scale phenomena in the Earth's atmosphere and novel wave turbulent regimes, and explains a range of laboratory experiments. The book also contains a detailed description of the latest computer software in the field. It is suitable for graduate students and researchers in nonlinear science and wave turbulence, along with fluid mechanics and number theory. Colour versions of a selection of the figures are available at www.cambridge.org/9780521763608.

Author : Shanmuganathan Rajasekar,Miguel A. F. Sanjuan
Publisher : Springer
Page : 409 pages
File Size : 55,9 Mb
Release : 2015-11-30
Category : Science
ISBN : 9783319248868

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Nonlinear Resonances by Shanmuganathan Rajasekar,Miguel A. F. Sanjuan Pdf

This introductory text presents the basic aspects and most important features of various types of resonances and anti-resonances in dynamical systems. In particular, for each resonance, it covers the theoretical concepts, illustrates them with case studies, and reviews the available information on mechanisms, characterization, numerical simulations, experimental realizations, possible quantum analogues, applications and significant advances made over the years. Resonances are one of the most fundamental phenomena exhibited by nonlinear systems and refer to specific realizations of maximum response of a system due to the ability of that system to store and transfer energy received from an external forcing source. Resonances are of particular importance in physical, engineering and biological systems - they can prove to be advantageous in many applications, while leading to instability and even disasters in others. The book is self-contained, providing the details of mathematical derivations and techniques involved in numerical simulations. Though primarily intended for graduate students, it can also be considered a reference book for any researcher interested in the dynamics of resonant phenomena.

Author : Ibrahim Usama Bello
Publisher : Unknown
Page : 128 pages
File Size : 41,9 Mb
Release : 2021
Category : Electronic
ISBN : OCLC:1302993658

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Nonlinear Resonances and Some of Their Applications to Information Processing by Ibrahim Usama Bello Pdf

The study of resonance phenomena in nonlinear dynamical systems has drawn considerable attention for years. The most studied nonlinear resonance is undoubtedly the famous stochastic resonance, which consists of perturbing a nonlinear system with an appropriate amount of noise to enhance the detection of a subthreshold input signal. Since the introduction of stochastic resonance in the context of climate dynamics, it was later observed that a deterministic high frequency perturbation can replace noise leading to vibrational resonance. Even if this latter resonance was investigated in many areas of science for more than two decades now, it is still receiving attentions. It is the subject of this thesis, which numerically analyzes the occurrence of this phenomenon in two different nonlinear systems, and which suggests applications in the context of subthreshold images perception. First, we analyze the motion of a particle with a given mass which is submitted to a nonlinear force deriving from a double-well potential. For both considered cases of linear and nonlinear space-dependent damping, we establish that there exists a critical mass beyond which vibrational resonance ceases to exist. Next, we analyze how the nonlinearity affects vibrational resonance in the Chua's circuit model. Especially, we show that better resonances can be achieved when Chua's system experiences a truncated sinusoidal nonlinearity instead of the conventional sawtooth nonlinearity. Moreover, when the system driving consists of two close low frequencies, we observe that the high frequency perturbation can induce resonances at the two input low frequencies but also at a lower frequency via the mechanisms of vibrational resonance and ghost-vibrational resonance. Lastly, we consider the perception of subthreshold images through perturbed threshold detectors. In terms of image perception, we show that detectors which are based on vibrational resonance clearly outperform detectors based on stochastic resonance.

Author : Philippe Basset,Elena Blokhina,Dimitri Galayko
Publisher : John Wiley & Sons
Page : 244 pages
File Size : 49,7 Mb
Release : 2016-03-28
Category : Technology & Engineering
ISBN : 9781848217164

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Electrostatic Kinetic Energy Harvesting by Philippe Basset,Elena Blokhina,Dimitri Galayko Pdf

Harvesting kinetic energy is a good opportunity to power wireless sensor in a vibratory environment. Besides classical methods based on electromagnetic and piezoelectric mechanisms, electrostatic transduction has a great perspective in particular when dealing with small devices based on MEMS technology. This book describes in detail the principle of such capacitive Kinetic Energy Harvesters based on a spring-mass system. Specific points related to the design and operation of kinetic energy harvesters (KEHs) with a capacitive interface are presented in detail: advanced studies on their nonlinear features, typical conditioning circuits and practical MEMS fabrication.

Author : Anonim
Publisher : Unknown
Page : 464 pages
File Size : 42,6 Mb
Release : 1975
Category : Oscillators, Crystal
ISBN : UVA:X004954680

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Proceedings of the Annual Symposium on Frequency Control by Anonim Pdf

Author : Arkadiy I. Manevich,Leonid Isaakovich Manevich
Publisher : World Scientific
Page : 278 pages
File Size : 40,7 Mb
Release : 2005
Category : Science
ISBN : 9781860945106

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The Mechanics of Nonlinear Systems with Internal Resonances by Arkadiy I. Manevich,Leonid Isaakovich Manevich Pdf

One of the most important features of nonlinear systems with several degrees of freedom is the presence of internal resonances at certain relations between natural frequencies of different modes. This monograph is the first book devoted predominantly to internal resonances in different mechanical systems including those of practical importance.The main purpose is to consider the internal resonances from the general point of view and to elucidate their role in applied nonlinear dynamics by using an efficient approach based on introducing the complex representation of equations of motion (together with the multiple scale method). Considered here are autonomous and nonautonomous discrete two-degree-of-freedom systems, infinite chains of particles, and continuous systems, including circular rings and cylindrical shells. Specific attention is paid to the case of one-to-one internal resonance in systems with cubic nonlinearities. Steady-state and nonstationary regimes of motion, interaction of the internal and external resonances at forced oscillations, and bifurcations of steady-state modes and their stability are systematically studied.

Author : Austin Blaquiere
Publisher : Elsevier
Page : 409 pages
File Size : 54,5 Mb
Release : 2012-12-02
Category : Technology & Engineering
ISBN : 9780323151665

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Nonlinear System Analysis by Austin Blaquiere Pdf

Nonlinear System Analysis focuses on the study of systems whose behavior is governed by nonlinear differential equations. This book is composed of nine chapters that cover some problems that play a major role in engineering and physics. The opening chapter briefly introduces the difference between linear and nonlinear systems. Considerable chapters are devoted to engineering and physics related problems and their applications to particle accelerators, frequency measurements, and masers. Included in these chapters are important practical problems, such as synchronization, stability of systems with periodic coefficients, and effect of random disturbances. The remaining chapters examine random fluctuations of the motion and self-oscillators. This book is intended primarily for engineers and physicists.

Author : Takao Ozawa
Publisher : Unknown
Page : 116 pages
File Size : 52,7 Mb
Release : 1963
Category : Computers
ISBN : STANFORD:36105002691603

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Nonlinear Resonance Computer Components by Takao Ozawa Pdf

A mathematical analysis of the series resonant circuit is given. The principle of harmonic balance is applied to the differential equations for the circuit in order to obtain the steady state responses. It is shown that the circuit is a threshold device with respect to the amplitude of the driving voltage. A three phase clock system is used to drive the basic resonant circuits, which are coupled to form threshold logic. Various types of coupling between the circuits are considered. The transient response of the circuit which is closely related to the switching speed is analyzed by a series method. Two basic resonant circuits are coupled to form a flip-flop. The conditions for bistability of the coupled circuits are investigated. Possible realizations of the resonant circuit and the logic circuits are suggested, with the assumption that all necessary devices are available. (Author).

Author : Ali H. Nayfeh,Dean T. Mook
Publisher : John Wiley & Sons
Page : 720 pages
File Size : 42,6 Mb
Release : 2008-09-26
Category : Science
ISBN : 9783527617593

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Nonlinear Oscillations by Ali H. Nayfeh,Dean T. Mook Pdf

Nonlinear Oscillations is a self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. The book begins with fundamental concepts and techniques of analysis and progresses through recent developments and provides an overview that abstracts and introduces main nonlinear phenomena. It treats systems having a single degree of freedom, introducing basic concepts and analytical methods, and extends concepts and methods to systems having degrees of freedom. Most of this material cannot be found in any other text. Nonlinear Oscillations uses simple physical examples to explain nonlinear dispersive and nondispersive waves. The notation is unified and the analysis modified to conform to discussions. Solutions are worked out in detail for numerous examples, results are plotted and explanations are couched in physical terms. The book contains an extensive bibliography.

Author : H. D. I. Abarbanel,M. I. Rabinovich,Mikhael M. Sushchik
Publisher : World Scientific
Page : 172 pages
File Size : 46,8 Mb
Release : 1993
Category : Science
ISBN : 9810214103

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Introduction to Nonlinear Dynamics for Physicists by H. D. I. Abarbanel,M. I. Rabinovich,Mikhael M. Sushchik Pdf

This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the physicist study nonlinear systems and leave the comfortable territory of linearity? How can one progress in the study of nonlinear systems both in the analysis of these systems and in learning about new systems from observing their experimental behavior? While it is impossible to answer these questions in the finest detail, this series of lectures nonetheless successfully points the way for the interested reader. Other useful problems have also been incorporated as a study guide. By presenting both substantial qualitative information about phenomena in nonlinear systems and at the same time sufficient quantitative material, the author hopes that readers would learn how to progress on their own in the study of such similar material hereon.

Author : Rajiv Tiwari
Publisher : CRC Press
Page : 1092 pages
File Size : 43,5 Mb
Release : 2017-11-22
Category : Science
ISBN : 9781351863643

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Rotor Systems by Rajiv Tiwari Pdf

The purpose of this book is to give a basic understanding of rotor dynamics phenomena with the help of simple rotor models and subsequently, the modern analysis methods for real life rotor systems. This background will be helpful in the identification of rotor-bearing system parameters and its use in futuristic model-based condition monitoring and, fault diagnostics and prognostics. The book starts with introductory material for finite element methods and moves to linear and non-linear vibrations, continuous systems, vibration measurement techniques, signal processing and error analysis, general identification techniques in engineering systems, and MATLAB analysis of simple rotors. Key Features: • Covers both transfer matrix methods (TMM) and finite element methods (FEM) • Discusses transverse and torsional vibrations • Includes worked examples with simplicity of mathematical background and a modern numerical method approach • Explores the concepts of instability analysis and dynamic balancing • Provides a basic understanding of rotor dynamics phenomena with the help of simple rotor models including modern analysis methods for real life rotor systems.

Author : Alexander F. Vakakis,Leonid I. Manevitch,Yuri V. Mikhlin,Valery N. Pilipchuk,Alexandr A. Zevin
Publisher : John Wiley & Sons
Page : 552 pages
File Size : 46,7 Mb
Release : 2008-07-11
Category : Science
ISBN : 9783527617876

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Normal Modes and Localization in Nonlinear Systems by Alexander F. Vakakis,Leonid I. Manevitch,Yuri V. Mikhlin,Valery N. Pilipchuk,Alexandr A. Zevin Pdf

This landmark book deals with nonlinear normal modes (NNMs) and nonlinear mode localization. Offers an analysis which enables the study of various nonlinear phenomena having no counterpart in linear theory. On a more theoretical level, the concept of NNMs will be shown to provide an excellent framework for understanding a variety of distinctively nonlinear phenomena such as mode bifurcations and standing or traveling solitary waves.

Author : Anonim
Publisher : Unknown
Page : 568 pages
File Size : 53,9 Mb
Release : 1965
Category : Mechanics, Applied
ISBN : UCAL:C2682421

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Applied Mechanics Reviews by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 100 pages
File Size : 51,8 Mb
Release : 1986
Category : Shock (Mechanics)
ISBN : MINN:30000010498560

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The Shock and Vibration Digest by Anonim Pdf

Author : Yukio Ishida,Toshio Yamamoto
Publisher : John Wiley & Sons
Page : 495 pages
File Size : 47,5 Mb
Release : 2013-03-05
Category : Technology & Engineering
ISBN : 9783527651917

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Linear and Nonlinear Rotordynamics by Yukio Ishida,Toshio Yamamoto Pdf

A wide-ranging treatment of fundamental rotordynamics in order to serve engineers with the necessary knowledge to eliminate various vibration problems. New to this edition are three chapters on highly significant topics: Vibration Suppression - The chapter presents various methods and is a helpful guidance for professional engineers. Magnetic Bearings - The chapter provides fundamental knowledge and enables the reader to realize simple magnetic bearings in the laboratory. Some Practical Rotor Systems - The chapter explains various vibration characteristics of steam turbines and wind turbines. The contents of other chapters on Balancing, Vibrations due to Mechanical Elements, and Cracked Rotors are added to and revised extensively. The authors provide a classification of rotating shaft systems and general coverage of key ideas common to all branches of rotordynamics. They offers a unique analysis of dynamical problems, such as nonlinear rotordynamics, self-excited vibration, nonstationary vibration, and flow-induced oscillations. Nonlinear resonances are discussed in detail, as well as methods for shaft stability and various theoretical derivations and computational methods for analyzing rotors to determine and correct vibrations. This edition also includes case studies and problems.