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Imperfect Bifurcation in Structures and Materials, Kiyohiro Ikeda; Kazuo Murota


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Автор: Kiyohiro Ikeda; Kazuo Murota
Название:  Imperfect Bifurcation in Structures and Materials
ISBN: 9783030214722
Издательство: Springer
Классификация:








ISBN-10: 3030214729
Обложка/Формат: Hardcover
Страницы: 590
Вес: 1.08 кг.
Дата издания: 2019
Серия: Applied Mathematical Sciences
Язык: English
Издание: 3rd ed. 2019
Иллюстрации: 33 illustrations, color; 206 illustrations, black and white; xxiv, 596 p. 239 illus., 33 illus. in color.
Размер: 235 x 155 x 33
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: Engineering Use of Group-Theoretic Bifurcation Theory
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book provides a modern static imperfect bifurcation theory applicable to bifurcation phenomena of physical and engineering problems and fills the gap between the mathematical theory and engineering practice.Systematic methods based on asymptotic, probabilistic, and group theoretic standpoints are used to examine experimental and computational data from numerous examples, such as soil, sand, kaolin, honeycomb, and domes. For mathematicians, static bifurcation theory for finite-dimensional systems, as well as its applications for practical problems, is illuminated by numerous examples. Engineers may find this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory.This third edition strengthens group representation and group-theoretic bifurcation theory. Several large scale applications have been included in association with the progress of computational powers. Problems and answers have been provided. Review of First Edition:The book is unique in considering the experimental identification of material-dependent bifurcations in structures such as sand, Kaolin (clay), soil and concrete shells. … These are studied statistically. … The book is an excellent source of practical applications for mathematicians working in this field. … A short set of exercises at the end of each chapter makes the book more useful as a text. The book is well organized and quite readable for non-specialists. Henry W. Haslach, Jr., Mathematical Reviews, 2003
Дополнительное описание: Overview of Book.- Imperfect Behavior at Simple Critical Points.- Critical Points and Local Behavior.- Imperfection Sensitivity Laws.- Worst Imperfection (I).- Random Imperfection (I).- Experimentally Observed Bifurcation Diagrams.- Imperfect Bifurcation



Bifurcation, Symmetry and Patterns

Автор: Jorge Buescu; Paulo M.S.T. de Castro; Ana Paula Di
Название: Bifurcation, Symmetry and Patterns
ISBN: 3034896425 ISBN-13(EAN): 9783034896429
Издательство: Springer
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Цена: 6986.00 р.
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Описание: It shows the range of dissemination of the work of Martin Golubitsky and Ian Stewart and its influence in modern mathematics at the same time as it contains work of young mathematicians in new directions.

Bifurcation Theory

Автор: Kielh?fer
Название: Bifurcation Theory
ISBN: 1461405017 ISBN-13(EAN): 9781461405016
Издательство: Springer
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Цена: 10480.00 р.
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Описание: In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations. The second edition is substantially and formally revised and new material is added. Among this is bifurcation with a two-dimensional kernel with applications, the buckling of the Euler rod, the appearance of Taylor vortices, the singular limit process of the Cahn-Hilliard model, and an application of this method to more complicated nonconvex variational problems.  

Imperfect Bifurcation in Structures and Materials

Автор: Kiyohiro Ikeda; Kazuo Murota
Название: Imperfect Bifurcation in Structures and Materials
ISBN: 1461426650 ISBN-13(EAN): 9781461426653
Издательство: Springer
Рейтинг:
Цена: 10480.00 р.
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Описание: This illustrated book provides a modern investigation into the bifurcation phenomena of physical and engineering problems. Systematic methods are used to examine experimental and computational data from numerous examples (soil, sand, kaolin, concrete, domes).

Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures

Автор: Gardini Laura, Avrutin Viktor, Sushko Iryna, Tramontana Fabio
Название: Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures
ISBN: 9814368822 ISBN-13(EAN): 9789814368827
Издательство: World Scientific Publishing
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Цена: 34056.00 р.
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Описание: Focuses on both continuous and discontinuous one-dimensional piecewise-linear maps and summarizes the results related to bifurcation structures in regular and robust chaotic domains.

Global Bifurcation of Periodic Solutions with Symmetry

Автор: Bernold Fiedler
Название: Global Bifurcation of Periodic Solutions with Symmetry
ISBN: 3540192344 ISBN-13(EAN): 9783540192343
Издательство: Springer
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Цена: 3487.00 р.
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Описание: Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry? This book probes these questions.

Nonlinear Stability and Bifurcation Theory

Автор: Hans Troger; Alois Steindl
Название: Nonlinear Stability and Bifurcation Theory
ISBN: 3211822925 ISBN-13(EAN): 9783211822920
Издательство: Springer
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Цена: 13060.00 р.
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Описание: Every student in engineering or in other fields of the applied sciences who has passed through his curriculum knows that the treatment of nonlin- ear problems has been either avoided completely or is confined to special courses where a great number of different ad-hoc methods are presented.

Global Bifurcation Theory and Hilbert`s Sixteenth Problem

Автор: V. Gaiko
Название: Global Bifurcation Theory and Hilbert`s Sixteenth Problem
ISBN: 1461348196 ISBN-13(EAN): 9781461348191
Издательство: Springer
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Цена: 6986.00 р.
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Описание: On the 8th of August 1900 outstanding German mathematician David Hilbert delivered a talk "Mathematical problems" at the Second Interna- tional Congress of Mathematicians in Paris. Lyapunov set forth and solved completely in the very wide class of cases a special problem of the qualitative theory: the problem of motion stability (154].

Bifurcation and Stability of Dissipative Systems

Автор: Q.S. Nguyen
Название: Bifurcation and Stability of Dissipative Systems
ISBN: 3211824375 ISBN-13(EAN): 9783211824375
Издательство: Springer
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Цена: 12157.00 р.
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Описание: The first theme concerns the plastic buckling of structures in the spirit of Hill`s classical approach. In brittle fracture or brittle damage, the evolution law of crack lengths or damage parameters is time-independent like in plasticity and leads to a similar mathematical description of the quasi-static evolution.

Dynamic Stability and Bifurcation in Nonconservative Mechanics

Автор: Bigoni
Название: Dynamic Stability and Bifurcation in Nonconservative Mechanics
ISBN: 3319937219 ISBN-13(EAN): 9783319937212
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Flutter from friction in solids and structures.- Dissipation-induced instabilities of structures coupled to a flow.- Some surprising conservative and non-conservative moments in the dynamics of rods and rigid bodies.- Non-conservative stability: classical results and modern approaches.

Dynamics, Bifurcation and Symmetry

Автор: Pascal Chossat
Название: Dynamics, Bifurcation and Symmetry
ISBN: 9401044139 ISBN-13(EAN): 9789401044134
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book collects contributions to the conference" Dynamics, Bifurcation and Symmetry, new trends and new tools", which was held at the Institut d`Etudes Sci- entifiques de Cargese (France), September 3-9, 1993.

Dynamic Stability and Bifurcation in Nonconservative Mechanics

Автор: Davide Bigoni; Oleg Kirillov
Название: Dynamic Stability and Bifurcation in Nonconservative Mechanics
ISBN: 3030067106 ISBN-13(EAN): 9783030067106
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The book offers a unified view on classical results and recent advances in the dynamics of nonconservative systems. The theoretical fundamentals are presented systematically and include: Lagrangian and Hamiltonian formalism, non-holonomic constraints, Lyapunov stability theory, Krein theory of spectra of Hamiltonian systems and modes of negative and positive energy, anomalous Doppler effect, reversible systems, sensitivity analysis of non-self-adjoint operators, dissipation-induced instabilities, local and global instabilities. They are applied to engineering situations such as the coupled mode flutter of wings, flags and pipes, flutter in granular materials, piezoelectric mechanical metamaterials, wave dynamics of infinitely long structures, radiative damping, stability of high-speed trains, experimental realization of follower forces, soft-robot locomotion, wave energy converters, friction-induced instabilities, brake squeal, non-holonomic sailing, dynamics of moving continua, and stability of bicycles and walking robots.

The book responds to a demand in the modern theory of nonconservative systems coming from the growing number of scientific and engineering disciplines including physics, fluid and solids mechanics, fluid-structure interactions, and modern multidisciplinary research areas such as biomechanics, micro- and nanomechanics, optomechanics, robotics, and material science. It is targeted at both young and experienced researchers and engineers working in fields associated with the dynamics of structures and materials. The book will help to get a comprehensive and systematic knowledge on the stability, bifurcations and dynamics of nonconservative systems and establish links between approaches and methods developed in different areas of mechanics and physics and modern applied mathematics.

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