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Nonlinear Resonances

2015-11-30 Science
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Release : 2015-11-30
Genre : Science
Kind : eBook
Book Rating : 863/5 ( reviews)

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Book Synopsis Nonlinear Resonances by : Shanmuganathan Rajasekar

Download or read book Nonlinear Resonances written by Shanmuganathan Rajasekar. This book was released on 2015-11-30. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Resonances in the Motion of Rolling Reentry Bodies

1971 Body of revolution
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Release : 1971
Genre : Body of revolution
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Nonlinear Resonances in the Motion of Rolling Reentry Bodies by : Ali Hasan Nayfeh

Download or read book Nonlinear Resonances in the Motion of Rolling Reentry Bodies written by Ali Hasan Nayfeh. This book was released on 1971. Available in PDF, EPUB and Kindle. Book excerpt: The method of multiple scales has been used to analyze the motion of rolling reentry bodies under the influence of nonlinear pitch, damping, and Magnus moments. Each of these moments is assumed to be a cubic function of angle of attack.

Nonlinear Resonance Analysis

2010-10-21 Science
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Release : 2010-10-21
Genre : Science
Kind : eBook
Book Rating : 086/5 ( reviews)

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Book Synopsis Nonlinear Resonance Analysis by : Elena Kartashova

Download or read book Nonlinear Resonance Analysis written by Elena Kartashova. This book was released on 2010-10-21. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Mechanics of Nonlinear Systems with Internal Resonances

2005 Science
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Release : 2005
Genre : Science
Kind : eBook
Book Rating : 104/5 ( reviews)

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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. This book was released on 2005. 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.

Nonlinear Waves In Bounded Media: The Mathematics Of Resonance

2017-01-18 Technology & Engineering
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Release : 2017-01-18
Genre : Technology & Engineering
Kind : eBook
Book Rating : 354/5 ( reviews)

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Book Synopsis Nonlinear Waves In Bounded Media: The Mathematics Of Resonance by : Brian R Seymour

Download or read book Nonlinear Waves In Bounded Media: The Mathematics Of Resonance written by Brian R Seymour. This book was released on 2017-01-18. Available in PDF, EPUB and Kindle. Book excerpt: This unique book aims to treat a class of nonlinear waves that are reflected from the boundaries of media of finite extent. It involves both standing (unforced) waves and resonant oscillations due to external periodic forcing. The waves are both hyperbolic and dispersive. To achieve this aim, the book develops the necessary understanding of linear waves and the mathematical techniques of nonlinear waves before dealing with nonlinear waves in bounded media. The examples used come mainly from gas dynamics, water waves and viscoelastic waves.

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