Studies on a nonlinear lattice

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Release : 1974
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Studies on a nonlinear lattice - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Studies on a nonlinear lattice write by Morikazu Toda. This book was released on 1974. Studies on a nonlinear lattice available in PDF, EPUB and Kindle.

Dynamics of Lattice Materials

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Release : 2017-09-25
Genre : Technology & Engineering
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Book Rating : 595/5 ( reviews)

Dynamics of Lattice Materials - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamics of Lattice Materials write by A. Srikantha Phani. This book was released on 2017-09-25. Dynamics of Lattice Materials available in PDF, EPUB and Kindle. Provides a comprehensive introduction to the dynamic response of lattice materials, covering the fundamental theory and applications in engineering practice Offers comprehensive treatment of dynamics of lattice materials and periodic materials in general, including phononic crystals and elastic metamaterials Provides an in depth introduction to elastostatics and elastodynamics of lattice materials Covers advanced topics such as damping, nonlinearity, instability, impact and nanoscale systems Introduces contemporary concepts including pentamodes, local resonance and inertial amplification Includes chapters on fast computation and design optimization tools Topics are introduced using simple systems and generalized to more complex structures with a focus on dispersion characteristics

Theory of Nonlinear Lattices

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Release : 2012-12-06
Genre : Science
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Book Rating : 199/5 ( reviews)

Theory of Nonlinear Lattices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory of Nonlinear Lattices write by Morikazu Toda. This book was released on 2012-12-06. Theory of Nonlinear Lattices available in PDF, EPUB and Kindle. Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book. The presentation is coherent and self-contained, starting with pioneering work and extending to the most recent advances in the field. Special attention is focused on exact methods of solution of nonlinear problems and on the exact mathematical treatment of nonlinear lattice vibrations. This new edition updates the material to take account of important new advances.

Studies of a Non-linear Lattice

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Author :
Release : 1975
Genre : Lattice dynamics
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Studies of a Non-linear Lattice - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Studies of a Non-linear Lattice write by Morikazu Toda. This book was released on 1975. Studies of a Non-linear Lattice available in PDF, EPUB and Kindle.

Theory of Nonlinear Lattices

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Author :
Release : 1981
Genre : Science
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Book Rating : 852/5 ( reviews)

Theory of Nonlinear Lattices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory of Nonlinear Lattices write by Morikazu Toda. This book was released on 1981. Theory of Nonlinear Lattices available in PDF, EPUB and Kindle. This book deals with waves in lattices composed of particles interacting by nonlinear forces. Since motion in a lattice with exponential interac tion between nearest neighbors can be analyzed rigorously, it is treated as the central subject to be discussed. From the idea that the fundamentals of the mathematical methods for nonlinear lattices would be elucidated by rigorous results, I was led in 1966 to the lattice with exponential interaction, which has since proved to be a subject of intensive investigation by many researchers. Therefore I have tried to describe the development of the study of this lattice. The presentation is intended to be coherent and self-contained. Chapter 1 starts with a rather historical exposition, and deals with the motion in the lattices and in continuous systems in general. Funda mental concepts necessary for later chapters, including the partic1elike behavior of stable pulses (solitons), the most characteristic entities of the nonlinear waves, are introduced. The dual transformation, which exchanges the roles of particles and interaction, is described for devel opment in the next chapter.