Exploiting Nonlinear Behavior in Structural Dynamics

This authoritative treatment covers theory, optimal estimation and a range of practical applications. The first book on the subject, and written by leading researchers, this clear and rigorous work presents a comprehensive theory for both the stability boundary and the stability regions of a range of nonlinear dynamical systems including continuous, discrete, complex, two-time-scale and non-hyperbolic systems, illustrated with numerical examples. The authors also propose new concepts of quasi-stability region and of relevant stability regions and their complete characterisations. Optimal schemes for estimating stability regions of general nonlinear dynamical systems are also covered, and finally the authors describe and explain how the theory is applied in applications including direct methods for power system transient stability analysis, nonlinear optimisation for finding a set of high-quality optimal solutions, stabilisation of nonlinear systems, ecosystem dynamics, and immunisation

This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of f

Part of the Advanced Studies in Pure Mathematics series, this volume contains the proceedings from the 4th MSJ-SI international conference. This conference provided for the exchange of ideas and incre

The European Commission's Digital Agenda for Europe sets the targets for broadband development by 2020, yet current broadband market outcomes vary widely amongst the EU Member States and the objectives seem challenging for many. In this book, a group of in-country experts follows a framework of qualitative and quantitative analysis to capture patterns, commonalities and differences between twelve different European countries, in terms of infrastructure endowments, institutional arrangements, time of joining the EU, behavior of market actors, personal interventions of regulators, the role of municipalities, and the role perception of governments. By exploring how the past explains present broadband market outcomes, these longitudinal country case studies look to how improvements can be made for the future. As the first in-depth study of broadband developments in Europe, this book will be invaluable to policy-makers, regulators, academic researchers, advisors, and consultants working in

Structural Geology is a groundbreaking reference that introduces you to the concepts of nonlinear solid mechanics and non-equilibrium thermodynamics in metamorphic geology, offering a fresh perspectiv

This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and pla

Understanding the dynamics of multi-phase flows has been a challenge in the fields of nonlinear dynamics and fluid mechanics. This chapter reviews our work on two-phase flow dynamics in combination wi

Building up from microscopic basics to observed complex functions, this insightful monograph explains and describes how the unique molecular properties of water give rise to its structural and dynamical behaviour which in turn translates into its role in biological and chemical processes. The discussion of the biological functions of water details not only the stabilising effect of water in proteins and DNA, but also the direct role that water molecules themselves play in biochemical processes, such as enzyme kinetics, protein synthesis and drug-DNA interaction. The overview of the behaviour of water in chemical systems discusses hydrophilic, hydrophobic and amphiphilic effects, as well as the interactions of water with micelles, reverse micelles, microemulsions and carbon nanotubes. Supported by extensive experimental and computer simulation data, highlighting many of the recent advances in the study of water in complex systems, this is an ideal resource for anyone studying water at t

Recent years have witnessed an increased need for applying nonlinear analysis in the assessment and design of civil engineering structures, particularly for structures subject to extreme loading. Nonl

Since Lord Rayleigh introduced the idea of viscous damping in his classic work "The Theory of Sound" in 1877, it has become standard practice to use this approach in dynamics, covering a wide range of

Since Lord Rayleigh introduced the idea of viscous damping in his classic work "The theory of sound" (1877) it has become standard practice to use this approach in dynamics covering a huge range of ap

Published continuously since 1944, Advances in Protein Chemistry and Structural Biology has been a continuous, essential resource for protein chemists. Covering reviews of methodology and research in

The consequences of a large dam failing can be disastrous. However, predicting the performance of concrete dams during earthquakes is one of the most complexes and challenging problems in structural d

This book fills a gap in coverage of a method developed by Shen and Zang, in 1988, for predicting response to thermal and mechanical loads in structural analysis. Seven chapters present material and s

From Hamiltonian Chaos to Complex Systems: A Nonlinear Physics Approach collects contributions on recent developments in non-linear dynamics and statistical physics with an emphasis on complex systems

This book, edited and authored by a closely collaborating network of social scientists and psychologists, recasts typical research topics in these fields into the language of nonlinear, dynamic and co

Computational methods for the modeling and simulation of the dynamic response and behavior of particles, materials and structural systems have had a profound influence on science, engineering and tech

Disorder is everywhere, inherently present in nature, and is commonly believed to be a synonymous with disturbance. As a consequence, the methodical and customary study of the dynamics of the electrom

This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It was the first book to present substantial results on local solvability of general and, in particular, nonlinear PDE systems without using power series techniques. The book describes a general approach to systems of partial differential equations based on ideas developed by Lie, Cartan and Vessiot. The most basic question is that of local solvability, but the methods used also yield classifications of various families of PDE systems. The central idea is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in detail. This book will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields.

The book provides a survey of recent developments in nonlinear economic dynamics. Bifurcation theory and the emergence of chaotic motion in dynamic economic models is presented in a comprehensive and

Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. Thi

Commodities have become an important component of many investors' portfolios and the focus of much political controversy over the past decade. This book utilizes structural models to provide a better understanding of how commodities' prices behave and what drives them. It exploits differences across commodities and examines a variety of predictions of the models to identify where they work and where they fail. The findings of the analysis are useful to scholars, traders and policy makers who want to better understand often puzzling - and extreme - movements in the prices of commodities from aluminium to oil to soybeans to zinc.

In this insightful new book, Moncrieffe argues that the traditionally narrow interpretation of accountability obscures relationships, power dynamics, structures, processes and complexities. The relati

In this insightful new book, Moncrieffe argues that the traditionally narrow interpretation of accountability obscures relationships, power dynamics, structures, processes and complexities. The relati

In the real world the dynamic behavior of a real machine presents either unforeseen or limiting phenomena: both are undesired, and can be therefore be classified as parasitic phenomena — unwante

Modeling and Control in Vibrational and Structural Dynamics: A Differential Geometric Approach describes the control behavior of mechanical objects, such as wave equations, plates, and shells. It show

Dynamics is a science concerned with movement and changes. In the most general approach it relates to life processes as well as behavior in nature in rest. It governs small particles, technical object

This distinctive volume presents a clear, rigorous grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to timely leading-edge develop

Presents researches in linear and nonlinear modelling of economic and financial time-series. This book provides a comprehensive understanding of financial and economic dynamics in various aspects usin

Rotor dynamics is an important branch of dynamics that deals with behavior of rotating machines ranging from very large systems like power plant rotors, for example, a turbogenerator, to very small sy

A nonlinear Markov evolution is a dynamical system generated by a measure-valued ordinary differential equation with the specific feature of preserving positivity. This feature distinguishes it from general vector-valued differential equations and yields a natural link with probability, both in interpreting results and in the tools of analysis. This brilliant book, the first devoted to the area, develops this interplay between probability and analysis. After systematically presenting both analytic and probabilistic techniques, the author uses probability to obtain deeper insight into nonlinear dynamics, and analysis to tackle difficult problems in the description of random and chaotic behavior. The book addresses the most fundamental questions in the theory of nonlinear Markov processes: existence, uniqueness, constructions, approximation schemes, regularity, law of large numbers and probabilistic interpretations. Its careful exposition makes the book accessible to researchers and grad

The study of emotional expressions has a long tradition in psychology. Although research in this domain has extensively studied the social context factors that influence the expresser's facial display, the perceiver was considered passive. This 2007 book focuses on more recent developments that show that the perceiver is also subject to the same social rules and norms that guide the expresser's behavior and that knowledge of relevant emotion norms can influence how emotional expressions shown by members of different groups are perceived and interpreted. Factors such as ethnic-group membership, gender and relative status all influence not only emotional expressions but also the interpretation of emotional expressions shown by members of different groups. Specifically, the research presented asks the question of whether and why the same expressions shown by men or women, members of different ethnic groups, or individuals high and low in status are interpreted differently.

Polymers exhibit a range of physical characteristics, from rubber-like elasticity to the glassy state. These particular properties are controlled at the molecular level by the mobility of the structural constituents. Remarkable changes in mobility can be witnessed with temperature, over narrow, well defined regions, termed relaxation processes. This is an important, unique phenomenon controlling polymer transition behaviour and is described here at an introductory level. The important types of relaxation processes from amorphous to crystalline polymers and polymeric miscible blends are covered, in conjunction with the broad spectrum of experimental methods used to study them. In-depth discussion of molecular level interpretation, including atomistic level computer simulations and applications to molecular mechanism elucidation, are discussed. The result is a self-contained approach to polymeric interpretation suitable for researchers in materials science, physics and chemistry interest

The book gives an overview of the dynamic behavior of dislocations and its relation to plastic deformation. It introduces the general properties of dislocations and treats the dislocation dynamics in

This book equips the reader to understand every important aspect of the dynamics of rotating machines. Will the vibration be large? What influences machine stability? How can the vibration be reduced? Which sorts of rotor vibration are the worst? The book develops this understanding initially using extremely simple models for each phenomenon, in which (at most) four equations capture the behavior. More detailed models are then developed based on finite element analysis, to enable the accurate simulation of the relevant phenomena for real machines. Analysis software (in MATLAB) is associated with this book, and novices to rotordynamics can expect to make good predictions of critical speeds and rotating mode shapes within days. The book is structured more as a learning guide than as a reference tome and provides readers with more than 100 worked examples and more than 100 problems and solutions.

This volume is inspired by developments in two strands of economic theorising. Firstly, research on structural economic dynamics based on three sources: Hicks' work on traverse analysis, Pasinetti on disproportional growth and Goodwin on dynamic decomposition and economic fluctuations. The second strand goes back to Georgescu-Roegen's interest in an organisational theory of production based upon the interrelationship between tasks, fund factors and material transformations. The approach taken involves a comprehensive view of sub-units of the whole economic system (such as processes, industries, vertically integrated sectors, eigensectors) representing dynamics of structural adaptation and compositional change. Furthermore, a detailed representation of micro-organisational features leads to the analysis of networks and networking processes within and amongst such sub-units.

Fire and combustion presents a significant engineering challenge to mechanical, civil and dedicated fire engineers, as well as specialists in the process and chemical, safety, buildings and structural

Nonlinear dynamics has become an important field of research in recent years in many areas of the natural sciences. In particular, it has potential applications in biology and medicine; nonlinear dat

Originating with the pioneering works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. Complex dynamical systems often exhibit rich, chaotic behavior, which yields attractive computer generated pictures, for example the Mandelbrot and Julia sets, which have done much to renew interest in the subject. This self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented; some, such as the Bers-Royden theorem on holomorphic motions, appear for the very first time in book format. An appendix considers Riemann surfaces and Teichmüller theory. Detailing the very latest research, the book will appeal to graduate students and researchers working in dynamical systems and related fields. Carefully chosen exercises aid understanding and provide a glimpse of further developments in real and complex one-dimensional dynamics.

This book brings a social networks perspective to bear on topics of leadership, decision-making, turnover, organizational crises, organizational culture, and other major organizational behavior topics. It offers a new direction for organizational behavior theory and research by drawing from social network ideas. Across diverse research topics, the authors pursue an integrated focus on social ties both as they are represented in the cognitions of individuals and as they operate as constraints and opportunities in organizational settings. The authors bring their 20 years worth of research experience together to provide a programmatic social network approach to understanding the internal functioning of organizations. By focusing a distinctive research lens on interpersonal networks, they attempt to discover the keys to the whole realm of organizational behavior through the social network approach.