Oscillations and Resonances

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Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110335689
Total Pages : 357 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Oscillations and Resonances by : Sergey G. Glebov

Download or read book Oscillations and Resonances written by Sergey G. Glebov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-04-10 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. Contents Asymptotic expansions and series Asymptotic methods for solving nonlinear equations Nonlinear oscillator in potential well Autoresonances in nonlinear systems Asymptotics for loss of stability Systems of coupled oscillators

Notes on Diffy Qs

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Author :
Publisher :
ISBN 13 : 9781706230236
Total Pages : 468 pages
Book Rating : 4.2/5 (32 download)

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Book Synopsis Notes on Diffy Qs by : Jiri Lebl

Download or read book Notes on Diffy Qs written by Jiri Lebl and published by . This book was released on 2019-11-13 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Version 6.0. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. It has a detailed appendix on linear algebra. The book was developed and used to teach Math 286/285 at the University of Illinois at Urbana-Champaign, and in the decade since, it has been used in many classrooms, ranging from small community colleges to large public research universities. See https: //www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions.

Physics of Oscillations and Waves

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Author :
Publisher : Springer
ISBN 13 : 3319723146
Total Pages : 576 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Physics of Oscillations and Waves by : Arnt Inge Vistnes

Download or read book Physics of Oscillations and Waves written by Arnt Inge Vistnes and published by Springer. This book was released on 2018-08-21 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this textbook a combination of standard mathematics and modern numerical methods is used to describe a wide range of natural wave phenomena, such as sound, light and water waves, particularly in specific popular contexts, e.g. colors or the acoustics of musical instruments. It introduces the reader to the basic physical principles that allow the description of the oscillatory motion of matter and classical fields, as well as resulting concepts including interference, diffraction, and coherence. Numerical methods offer new scientific insights and make it possible to handle interesting cases that can’t readily be addressed using analytical mathematics; this holds true not only for problem solving but also for the description of phenomena. Essential physical parameters are brought more into focus, rather than concentrating on the details of which mathematical trick should be used to obtain a certain solution. Readers will learn how time-resolved frequency analysis offers a deeper understanding of the interplay between frequency and time, which is relevant to many phenomena involving oscillations and waves. Attention is also drawn to common misconceptions resulting from uncritical use of the Fourier transform. The book offers an ideal guide for upper-level undergraduate physics students and will also benefit physics instructors. Program codes in Matlab and Python, together with interesting files for use in the problems, are provided as free supplementary material.

Particle Accelerator Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3662029030
Total Pages : 457 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Particle Accelerator Physics by : Helmut Wiedemann

Download or read book Particle Accelerator Physics written by Helmut Wiedemann and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particle Accelerator Physics covers the dynamics of relativistic particle beams, basics of particle guidance and focusing, lattice design, characteristics of beam transport systems and circular accelerators. Particle-beam optics is treated in the linear approximation including sextupoles to correct for chromatic aberrations. Perturbations to linear beam dynamics are analyzed in detail and correction measures are discussed, while basic lattice design features and building blocks leading to the design of more complicated beam transport systems and circular accelerators are studied. Characteristics of synchrotron radiation and quantum effects due to the statistical emission of photons on particle trajectories are derived and applied to determine particle-beam parameters. The discussions specifically concentrate on relativistic particle beams and the physics of beam optics in beam transport systems and circular accelerators such as synchrotrons and storage rings. This book forms a broad basis for further, more detailed studies of nonlinear beam dynamics and associated accelerator physics problems, discussed in the subsequent volume.

Physics for the Anaesthetic Viva

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Publisher : Cambridge University Press
ISBN 13 : 1107498333
Total Pages : 129 pages
Book Rating : 4.1/5 (74 download)

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Book Synopsis Physics for the Anaesthetic Viva by : Aman Kalsi

Download or read book Physics for the Anaesthetic Viva written by Aman Kalsi and published by Cambridge University Press. This book was released on 2016-03-31 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise book that conveys the essential physics concepts required to pass the FRCA viva examinations, with relevant applied questions.

Physical Fundamentals of Oscillations

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Publisher : Springer
ISBN 13 : 3319751549
Total Pages : 262 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Physical Fundamentals of Oscillations by : Leonid Chechurin

Download or read book Physical Fundamentals of Oscillations written by Leonid Chechurin and published by Springer. This book was released on 2018-04-16 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces possibly the most compact, simple and physically understandable tool that can describe, explain, predict and design the widest set of phenomena in time-variant and nonlinear oscillations. The phenomena described include parametric resonances, combined resonances, instability of forced oscillations, synchronization, distributed parameter oscillation and flatter, parametric oscillation control, robustness of oscillations and many others. Although the realm of nonlinear oscillations is enormous, the book relies on the concept of minimum knowledge for maximum understanding. This unique tool is the method of stationarization, or one frequency approximation of parametric resonance problem analysis in linear time-variant dynamic systems. The book shows how this can explain periodic motion stability in stationary nonlinear dynamic systems, and reveals the link between the harmonic stationarization coefficients and describing functions. As such, the book speaks the language of control: transfer functions, frequency response, Nyquist plot, stability margins, etc. An understanding of the physics of stability loss is the basis for the design of new oscillation control methods for, several of which are presented in the book. These and all the other findings are illustrated by numerical examples, which can be easily reproduced by readers equipped with a basic simulation package like MATLAB with Simulink. The book offers a simple tool for all those travelling through the world of oscillations, helping them discover its hidden beauty. Researchers can use the method to uncover unknown aspects, and as a reference to compare it with other, for example, abstract mathematical means. Further, it provides engineers with a minimalistic but powerful instrument based on physically measurable variables to analyze and design oscillatory systems.

Resonance Oscillations in Mechanical Systems

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Author :
Publisher : Elsevier Science & Technology
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Resonance Oscillations in Mechanical Systems by : R. M. Evan-Iwanowski

Download or read book Resonance Oscillations in Mechanical Systems written by R. M. Evan-Iwanowski and published by Elsevier Science & Technology. This book was released on 1976 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mechanics of Nonlinear Systems with Internal Resonances

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Author :
Publisher : World Scientific
ISBN 13 : 1860945104
Total Pages : 278 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis The Mechanics of Nonlinear Systems with Internal Resonances by : Arkadiy I. Manevich

Download or read book The Mechanics of Nonlinear Systems with Internal Resonances written by Arkadiy I. Manevich and published by World Scientific. This book was released on 2005 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Oscillations

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Author :
Publisher : Taylor & Francis
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4./5 ( download)

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Book Synopsis Oscillations by : Nigel Westlake

Download or read book Oscillations written by Nigel Westlake and published by Taylor & Francis. This book was released on 2000 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mechanical Resonance. Free and forced SHM of a torsional pendulum

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Author :
Publisher : GRIN Verlag
ISBN 13 : 3656586020
Total Pages : 12 pages
Book Rating : 4.6/5 (565 download)

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Book Synopsis Mechanical Resonance. Free and forced SHM of a torsional pendulum by : Laura Imperatori

Download or read book Mechanical Resonance. Free and forced SHM of a torsional pendulum written by Laura Imperatori and published by GRIN Verlag. This book was released on 2014-02-03 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific Essay from the year 2012 in the subject Physics - Mechanics, , language: English, abstract: In order to test SHM, the behaviour changes of a torsion pendulum due to different damping factors as well as its changes due to applying an external exciter were observed and compared with the theoretical expectations. The quality factor of the same damping state (with a brake current of 6A in the eddy brakes) was calculated using two different approaches and the resulting values were found to be within ơ of each one, as Q1 = 6.0±1.3 and Q2 = 7.5±0.7. The first approach was based on measuring the maximum displacement for each successive oscillation and deducing the slope from the plot of the natural logarithm of the amplitude against the number of oscillations. Differently, the second estimate of Q was obtained under forced oscillation conditions by taking the ratio of the experimentally determined resonance amplitude and the amplitude of natural oscillation.

Magnetization Oscillations and Waves

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Publisher : CRC Press
ISBN 13 : 0429605757
Total Pages : 460 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Magnetization Oscillations and Waves by : A.G. Gurevich

Download or read book Magnetization Oscillations and Waves written by A.G. Gurevich and published by CRC Press. This book was released on 2020-12-17 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by two well-known researchers in the field, this useful reference takes an applied approach to high frequency processes including oscillations and waves in ferromagnets, antiferromagnets, and ferrimagnets. Problems evaluated include ferromagnetic and antiferromagnetic resonances, spin waves, nonlinear processes, and high frequency manifestations of interactions between the magnetic system and other systems of magnetically ordered substances as elastic waves and charge carriers. Unlike previous monographs on this subject, which are highly theoretical and written for very advanced readers, this book requires only an average college background in mathematics and experimental physics. It will be a valuable addition to the library of engineers and scientists in research and development for communications applications, and scientists interested in nonlinear magnetic phenomena. It also serves as an excellent introduction to the topic for newcomers in the field. Magnetization Oscillations and Waves not only presents results but also shows readers how to obtain them; most formulas are derived with so many details that readers can reproduce them. The book includes many summaries and tables and detailed references to significant work in the area by European researchers.

Waves And Oscillations 2Ed

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Publisher : Vikas Publishing House
ISBN 13 : 9780706985436
Total Pages : 456 pages
Book Rating : 4.9/5 (854 download)

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Book Synopsis Waves And Oscillations 2Ed by : N Subrahmanyam

Download or read book Waves And Oscillations 2Ed written by N Subrahmanyam and published by Vikas Publishing House. This book was released on 2009-11-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject matter is divided into twelve chapters. Each chapter is self-contained and is treated in a comprehensive way, using the S.I. system of units. Harmonic Oscillators, Linearity and Superposition Principle, Oscillations with One Degree of Freedom, Resonance and Sharpness of Resonance, Quality Factor, Doppler Effect in Sound and Light, Medical Applications of Ultrasonics, Acoustic Intensity, Acoustic Measurements, Wave Velocity and Group Velocity, Maxwell’s Equations, Propagation of Electromagnetic Waves in Isotropic Media, De Broglie Waves, Heisenberg’s Uncertainty Principle and Special Theory of Relatively are some of the important topics which have been given special attention. Solved numerical problems, wherever necessary, are given in the text and in the exercises at the end of each chapter. The book is intended to be a textbook for the undergraduate students of Indian universities.

Neuronal Networks of the Hippocampus

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Publisher : Cambridge University Press
ISBN 13 : 0521364817
Total Pages : 306 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Neuronal Networks of the Hippocampus by : Roger D. Traub

Download or read book Neuronal Networks of the Hippocampus written by Roger D. Traub and published by Cambridge University Press. This book was released on 1991-05-31 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The questions of how a large population of neurons in the brain functions, how synchronized firing of neurons is achieved, and what factors regulate how many and which neurons fire under different conditions form the central theme of this book. Important neurological techniques for the physiological reconstruction of a large biological neural network are presented.

The Mechanics of Nonlinear Systems with Internal Resonances

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Author :
Publisher : World Scientific
ISBN 13 : 1860945104
Total Pages : 276 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis The Mechanics of Nonlinear Systems with Internal Resonances by : Arkadiy I. Manevich

Download or read book The Mechanics of Nonlinear Systems with Internal Resonances written by Arkadiy I. Manevich and published by World Scientific. This book was released on 2005 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mechanical and Electromagnetic Vibrations and Waves

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118586565
Total Pages : 337 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Mechanical and Electromagnetic Vibrations and Waves by : Tamer Bécherrawy

Download or read book Mechanical and Electromagnetic Vibrations and Waves written by Tamer Bécherrawy and published by John Wiley & Sons. This book was released on 2013-05-10 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dealing with vibrations and waves, this text aims to provide understanding of the basic principles and methods of analysing various physical phenomena. The content includes the general properties of propagation, a detailed study of mechanical (elastic and acoustic) and electromagnetic waves, propagation, attenuation, dispersion, reflection, interference and diffraction of waves. It features chapters on the effect of motion of sources and observers (both classical and relativistic), emission of electromagnetic waves, standing and guided waves and a final chapter on de Broglie waves constitutes an introduction to quantum mechanics.

Mathematical Theory of Scattering Resonances

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 147044366X
Total Pages : 634 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Theory of Scattering Resonances by : Semyon Dyatlov

Download or read book Mathematical Theory of Scattering Resonances written by Semyon Dyatlov and published by American Mathematical Soc.. This book was released on 2019-09-10 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynamical, an elegant mathematical formulation comes from considering meromorphic continuations of Green's functions. The poles of these meromorphic continuations capture physical information by identifying the rate of oscillation with the real part of a pole and the rate of decay with its imaginary part. An example from mathematics is given by the zeros of the Riemann zeta function: they are, essentially, the resonances of the Laplacian on the modular surface. The Riemann hypothesis then states that the decay rates for the modular surface are all either or . An example from physics is given by quasi-normal modes of black holes which appear in long-time asymptotics of gravitational waves. This book concentrates mostly on the simplest case of scattering by compactly supported potentials but provides pointers to modern literature where more general cases are studied. It also presents a recent approach to the study of resonances on asymptotically hyperbolic manifolds. The last two chapters are devoted to semiclassical methods in the study of resonances.

Oscillations

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Author :
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Oscillations by : Ian Benjamin Hopley

Download or read book Oscillations written by Ian Benjamin Hopley and published by . This book was released on 1972 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: