Bifurcation Dynamics of a Damped Parametric Pendulum, Yu Guo, Albert C.J. Luo
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: 57290.00 T 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: Yuri A. Kuznetsov, Hil G. E. Meijer Название: Numerical Bifurcation Analysis of Maps: From Theory to Software ISBN: 1108499678 ISBN-13(EAN): 9781108499675 Издательство: Cambridge Academ Рейтинг: Цена: 141510.00 T Наличие на складе: Невозможна поставка. Описание: This book combines a comprehensive treatment of bifurcations of discrete-time dynamical systems with concrete instruction on implementations and applications in the free MATLAB (R) software MatContM. While self-contained and suitable for independent study, it is also written with users in mind and will be an invaluable reference for practitioners.
Автор: Yushu Chen; Andrew Y.T. Leung Название: Bifurcation and Chaos in Engineering ISBN: 1447115775 ISBN-13(EAN): 9781447115779 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: For the many different deterministic non-linear dynamic systems (physical, mechanical, technical, chemical, ecological, economic, and civil and structural engineering), the discovery of irregular vibrations in addition to periodic and almost periodic vibrations is one of the most significant achievements of modern science.
Автор: Bigoni Название: Dynamic Stability and Bifurcation in Nonconservative Mechanics ISBN: 3319937219 ISBN-13(EAN): 9783319937212 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Q.S. Nguyen Название: Bifurcation and Stability of Dissipative Systems ISBN: 3211824375 ISBN-13(EAN): 9783211824375 Издательство: Springer Рейтинг: Цена: 81050.00 T 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: Kiyohiro Ikeda; Kazuo Murota Название: Imperfect Bifurcation in Structures and Materials ISBN: 3030214729 ISBN-13(EAN): 9783030214722 Издательство: Springer Рейтинг: Цена: 46570.00 T 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
Автор: Davide Bigoni; Oleg Kirillov Название: Dynamic Stability and Bifurcation in Nonconservative Mechanics ISBN: 3030067106 ISBN-13(EAN): 9783030067106 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Kiyohiro Ikeda; Kazuo Murota Название: Imperfect Bifurcation in Structures and Materials ISBN: 1461426650 ISBN-13(EAN): 9781461426653 Издательство: Springer Рейтинг: Цена: 69870.00 T 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: Kielh?fer Название: Bifurcation Theory ISBN: 1461405017 ISBN-13(EAN): 9781461405016 Издательство: Springer Рейтинг: Цена: 69870.00 T 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: Dyskin Название: Bifurcation and Localisation Theory in Geomechanics ISBN: 9026518234 ISBN-13(EAN): 9789026518232 Издательство: Taylor&Francis Рейтинг: Цена: 224570.00 T 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
Автор: Toogood, Roger Название: Creo Parametric 5.0 Tutorial ISBN: 1630572071 ISBN-13(EAN): 9781630572075 Издательство: Taylor&Francis Рейтинг: Цена: 56150.00 T Наличие на складе: Нет в наличии. Описание:
The eleven lessons in this tutorial introduce you to the design capabilities of Creo Parametric 5.0. The tutorial covers the major concepts and frequently used commands required to advance from a novice to an intermediate user level. Major topics include part and assembly creation, and creation of engineering drawings. Also illustrated are the major functions that make Creo Parametric a parametric solid modeler.
Although the commands are presented in a click-by-click manner, an effort has been made, in addition to showing/illustrating the command usage, to explain why certain commands are being used and the relation of feature selection and construction to the overall part design philosophy. Simply knowing where commands can be found is only half the battle. As is pointed out numerous times in the text, creating useful and effective models of parts and assemblies requires advance planning and forethought.
Автор: Leonid Dvorkin, Oleg Dvorkin, Y Ribakov Название: Multi-Parametric Concrete Compositions Design ISBN: 1624179118 ISBN-13(EAN): 9781624179112 Издательство: Nova Science Рейтинг: Цена: 205910.00 T Наличие на складе: Невозможна поставка. Описание: Concrete remains a dominant constructive material in the 21 century. Long-term experience of concrete application in all construction areas shows that its main efficiency and reliability condition is conformity of the material quality characteristics to its performance in structures and elements. This book explores the results of experimental and theoretical investigations carried out by the authors to develop the main theoretical concepts in the multi-parametric design of cement concrete compositions. A complex of design dependencies is proposed for predicting properties of concrete mixtures and hardened concrete, considering additional technological factors. Algorithms for different types of concrete compositions design are presented as are examples of these algorithms for specific industrial conditions. This book can be used by researchers and engineers, specialised in the field of concrete technology, as well as by graduate and undergraduate students.
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