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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.

Nonlinear Resonance Analysis

2010
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Author :
Release : 2010
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Nonlinear Resonance Analysis by :

Download or read book Nonlinear Resonance Analysis written by . This book was released on 2010. 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.

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-resonance Analysis of Halo-formation Excited by Beam-core Oscillation

1999
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Release : 1999
Genre :
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Book Synopsis Nonlinear-resonance Analysis of Halo-formation Excited by Beam-core Oscillation by : Yoshito Shimosaki

Download or read book Nonlinear-resonance Analysis of Halo-formation Excited by Beam-core Oscillation written by Yoshito Shimosaki. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt:

An Analysis of Nonlinear Resonance in Thickness Shear and Trapped Energy Resonators

1975
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Release : 1975
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Book Synopsis An Analysis of Nonlinear Resonance in Thickness Shear and Trapped Energy Resonators by : Harry F. Tiersten

Download or read book An Analysis of Nonlinear Resonance in Thickness Shear and Trapped Energy Resonators written by Harry F. Tiersten. This book was released on 1975. Available in PDF, EPUB and Kindle. Book excerpt: Electroelastic equations containing terms up to cubic in the small mechanical displacement field, but no higher than linear in the electric variables, are applied in the analysis of nonlinear resonance in rotated Y-cut quartz oscillators. Both pure thickness-shear vibrators and essentially thickness-shear trapped energy resonators are treated. Lumped parameter representations of the solutions, which are valid in the vicinity of a resonance and relate the amplitude of the dominant mode nonlinearly to the voltage across the crystal, are presented for both the pure thickness-shear and trapped energy thickness-shear problems. In each instance the expression for the current through the crystal is determined, the influence of the external circuitry is included in the analysis and, ultimately, an expression cubic in the mode amplitude and linear in the driving voltage is obtained. The analyses hold for the fundamental and odd overtone thickness-shear modes. Nonlinear resonance curves are presented for AT-cut quartz.

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