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.
Автор: Yoshihiko Sugiyama; Mikael A. Langthjem; Kazuo Kat Название: Dynamic Stability of Columns under Nonconservative Forces ISBN: 3030005712 ISBN-13(EAN): 9783030005719 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book treats dynamic stability of structures under nonconservative forces. it is not a mathematics-based, but rather a dynamics-phenomena-oriented monograph, written with a full experimental background. Starting with fundamentals on stability of columns under nonconservative forces, it then deals with the divergence of Euler’s column under a dead (conservative) loading from a view point of dynamic stability. Three experiments with cantilevered columns under a rocket-based follower force are described to present the verifiability of nonconservative problems of structural stability. Dynamic stability of columns under pulsating forces is discussed through analog experiments, and by analytical and experimental procedures together with related theories. Throughout the volume the authors retain a good balance between theory and experiments on dynamic stability of columns under nonconservative loading, offering a new window to dynamic stability of structures, promoting student- and scientist-friendly experiments.
Автор: Q.S. Nguyen Название: Bifurcation and Stability of Dissipative Systems ISBN: 3211824375 ISBN-13(EAN): 9783211824375 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Yu Guo, Albert C.J. Luo Название: Bifurcation Dynamics of a Damped Parametric Pendulum ISBN: 1681736861 ISBN-13(EAN): 9781681736860 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 8593.00 р. Наличие на складе: Нет в наличии.
Описание: The inherent complex dynamics of a parametrically excited pendulum is of great interest in nonlinear dynamics, which can help one better understand the complex world.
Even though the parametrically excited pendulum is one of the simplest nonlinear systems, until now, complex motions in such a parametric pendulum cannot be achieved. In this book, the bifurcation dynamics of periodic motions to chaos in a damped, parametrically excited pendulum is discussed. Complete bifurcation trees of periodic motions to chaos in the parametrically excited pendulum include:
period-1 motion (static equilibriums) to chaos, and
The aforesaid bifurcation trees of periodic motions to chaos coexist in the same parameter ranges, which are very difficult to determine through traditional analysis. Harmonic frequency-amplitude characteristics of such bifurcation trees are also presented to show motion complexity and nonlinearity in such a parametrically excited pendulum system. The non-travelable and travelable periodic motions on the bifurcation trees are discovered. Through the bifurcation trees of travelable and non-travelable periodic motions, the travelable and non-travelable chaos in the parametrically excited pendulum can be achieved. Based on the traditional analysis, one cannot achieve the adequate solutions presented herein for periodic motions to chaos in the parametrically excited pendulum. The results in this book may cause one rethinking how to determine motion complexity in nonlinear dynamical systems.
Автор: Kielh?fer Название: Bifurcation Theory ISBN: 1461405017 ISBN-13(EAN): 9781461405016 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Kiyohiro Ikeda; Kazuo Murota Название: Imperfect Bifurcation in Structures and Materials ISBN: 3030214729 ISBN-13(EAN): 9783030214722 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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
Описание: Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years.
Автор: George Exadaktylos; Ioannis G. Vardoulakis Название: Bifurcations, Instabilities, Degradation in Geomechanics ISBN: 3642080448 ISBN-13(EAN): 9783642080449 Издательство: Springer Рейтинг: Цена: 30606.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is an up-to-date review of developments in the field of bifurcations and instabilities in geomechanics from some of the world`s leading experts. Leading international researchers and practitioners of the topics debate the developments and applications which have occurred over the last few decades.
Описание: Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years. This book addresses state-of-the-art developments in numerical techniques for computational modelling of fluid instabilities and related bifurcation structures, as well as providing comprehensive reviews of recently solved challenging problems in the field.
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. Наличие на складе: Есть у поставщика Поставка под заказ.
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).
Автор: Dyskin Название: Bifurcation and Localisation Theory in Geomechanics ISBN: 9026518234 ISBN-13(EAN): 9789026518232 Издательство: Taylor&Francis Рейтинг: Цена: 33686.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This work contains proceedings of a workshop on Bifurcation and Localisation Theory in Geomechanics, held in Perth, Australia in 1999
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