Non Smooth Deterministic Or Stochastic Discrete Dynamical Systems

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Non-Smooth Deterministic or Stochastic Discrete Dynamical Systems

Jerome Bastien,Frederic Bernardin,Claude-Henri Lamarque
Non Smooth Deterministic or Stochastic Discrete Dynamical Systems Book PDF

Author : Jerome Bastien,Frederic Bernardin,Claude-Henri Lamarque
Publisher : John Wiley & Sons
Page : 514 pages
File Size : 41,9 Mb
Release : 2013-03-18
Category : Mathematics
ISBN : 9781118604083

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Non-Smooth Deterministic or Stochastic Discrete Dynamical Systems by Jerome Bastien,Frederic Bernardin,Claude-Henri Lamarque Pdf

This book contains theoretical and application-oriented methods to treat models of dynamical systems involving non-smooth nonlinearities. The theoretical approach that has been retained and underlined in this work is associated with differential inclusions of mainly finite dimensional dynamical systems and the introduction of maximal monotone operators (graphs) in order to describe models of impact or friction. The authors of this book master the mathematical, numerical and modeling tools in a particular way so that they can propose all aspects of the approach, in both a deterministic and stochastic context, in order to describe real stresses exerted on physical systems. Such tools are very powerful for providing reference numerical approximations of the models. Such an approach is still not very popular nevertheless, even though it could be very useful for many models of numerous fields (e.g. mechanics, vibrations, etc.). This book is especially suited for people both in research and industry interested in the modeling and numerical simulation of discrete mechanical systems with friction or impact phenomena occurring in the presence of classical (linear elastic) or non-classical constitutive laws (delay, memory effects, etc.). It aims to close the gap between highly specialized mathematical literature and engineering applications, as well as to also give tools in the framework of non-smooth stochastic differential systems: thus, applications involving stochastic excitations (earthquakes, road surfaces, wind models etc.) are considered. Contents 1. Some Simple Examples. 2. Theoretical Deterministic Context. 3. Stochastic Theoretical Context. 4. Riemannian Theoretical Context. 5. Systems with Friction. 6. Impact Systems. 7. Applications–Extensions. About the Authors Jérôme Bastien is Assistant Professor at the University Lyon 1 (Centre de recherche et d'Innovation sur le sport) in France. Frédéric Bernardin is a Research Engineer at Département Laboratoire de Clermont-Ferrand (DLCF), Centre d'Etudes Techniques de l'Equipement (CETE), Lyon, France. Claude-Henri Lamarque is Head of Laboratoire Géomatériaux et Génie Civil (LGCB) and Professor at Ecole des Travaux Publics de l'Etat (ENTPE), Vaulx-en-Velin, France.

Deterministic and Stochastic Time-Delay Systems

El-Kebir Boukas,Zi-Kuan Liu
Deterministic and Stochastic Time Delay Systems Book PDF

Author : El-Kebir Boukas,Zi-Kuan Liu
Publisher : Springer Science & Business Media
Page : 448 pages
File Size : 41,9 Mb
Release : 2002-03-01
Category : Mathematics
ISBN : 0817642455

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Deterministic and Stochastic Time-Delay Systems by El-Kebir Boukas,Zi-Kuan Liu Pdf

Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc., are nonlinear stochastic systems, which makes their con trol in general a hard problem. Currently, there is no successful design method for this class of systems in the literature. One common alterna tive consists of linearizing the nonlinear dynamical stochastic system in the neighborhood of an operating point and then using the techniques for linear systems to design the controller. The resulting model is in general an approximation of the real behavior of a dynamical system. The inclusion of the uncertainties in the model is therefore necessary and will certainly improve the performance of the dynamical system we want to control. The control of uncertain systems has attracted a lot of researchers from the control community. This topic has in fact dominated the research effort of the control community during the last two decades, and many contributions have been reported in the literature. Some practical dynamical systems have time delay in their dynamics, which makes their control a complicated task even in the deterministic case. Recently, the class ofuncertain dynamical deterministic systems with time delay has attracted some researchers, and some interesting results have been reported in both deterministic and stochastic cases. But wecan't claim that the control problem ofthis class ofsystems is completely solved; more work must be done for this class of systems.

Stochastic Dynamics of Structures

Abdelkhalak El Hami,Bouchaib Radi
Stochastic Dynamics of Structures Book PDF

Author : Abdelkhalak El Hami,Bouchaib Radi
Publisher : John Wiley & Sons
Page : 350 pages
File Size : 45,6 Mb
Release : 2016-11-22
Category : Mathematics
ISBN : 9781119377672

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Stochastic Dynamics of Structures by Abdelkhalak El Hami,Bouchaib Radi Pdf

This book is dedicated to the general study of the dynamics of mechanical structures with consideration of uncertainties. The goal is to get the appropriate forms of a part in minimizing a given criterion. In all fields of structural mechanics, the impact of good design of a room is very important to its strength, its life and its use in service. The development of the engineer's art requires considerable effort to constantly improve structural design techniques.

Structural Nonlinear Dynamics and Diagnosis

Mohamed Belhaq
Structural Nonlinear Dynamics and Diagnosis Book PDF

Author : Mohamed Belhaq
Publisher : Springer
Page : 509 pages
File Size : 44,5 Mb
Release : 2015-08-13
Category : Science
ISBN : 9783319198514

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Structural Nonlinear Dynamics and Diagnosis by Mohamed Belhaq Pdf

This book, which presents the peer-reviewed post-proceedings of CSNDD 2012 and CSNDD 2014, addresses the important role that relevant concepts and tools from nonlinear and complex dynamics could play in present and future engineering applications. It includes 22 chapters contributed by outstanding researchers and covering various aspects of applications, including: structural health monitoring, diagnosis and damage detection, experimental methodologies, active vibration control and smart structures, passive control of structures using nonlinear energy sinks, vibro-impact dynamic MEMS/NEMS/AFM, energy-harvesting materials and structures, and time-delayed feedback control, as well as aspects of deterministic versus stochastic dynamics and control of nonlinear phenomena in physics. Researchers and engineers interested in the challenges posed and opportunities offered by nonlinearities in the development of passive and active control strategies, energy harvesting, novel design criteria, modeling and characterization will find the book to be an outstanding introduction.

Fractional Dynamics on Networks and Lattices

Thomas Michelitsch,Alejandro Perez Riascos,Bernard Collet,Andrzej Nowakowski,Franck Nicolleau
Fractional Dynamics on Networks and Lattices Book PDF

Author : Thomas Michelitsch,Alejandro Perez Riascos,Bernard Collet,Andrzej Nowakowski,Franck Nicolleau
Publisher : John Wiley & Sons
Page : 200 pages
File Size : 41,8 Mb
Release : 2019-04-09
Category : Technology & Engineering
ISBN : 9781119608202

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Fractional Dynamics on Networks and Lattices by Thomas Michelitsch,Alejandro Perez Riascos,Bernard Collet,Andrzej Nowakowski,Franck Nicolleau Pdf

This book analyzes stochastic processes on networks and regular structures such as lattices by employing the Markovian random walk approach. Part 1 is devoted to the study of local and non-local random walks. It shows how non-local random walk strategies can be defined by functions of the Laplacian matrix that maintain the stochasticity of the transition probabilities. A major result is that only two types of functions are admissible: type (i) functions generate asymptotically local walks with the emergence of Brownian motion, whereas type (ii) functions generate asymptotically scale-free non-local “fractional” walks with the emergence of Lévy flights. In Part 2, fractional dynamics and Lévy flight behavior are analyzed thoroughly, and a generalization of Pólya's classical recurrence theorem is developed for fractional walks. The authors analyze primary fractional walk characteristics such as the mean occupation time, the mean first passage time, the fractal scaling of the set of distinct nodes visited, etc. The results show the improved search capacities of fractional dynamics on networks.

Dynamics of Large Structures and Inverse Problems

Abdelkhalak El Hami,Bouchaib Radi
Dynamics of Large Structures and Inverse Problems Book PDF

Author : Abdelkhalak El Hami,Bouchaib Radi
Publisher : John Wiley & Sons
Page : 328 pages
File Size : 52,5 Mb
Release : 2017-08-07
Category : Science
ISBN : 9781848219526

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Dynamics of Large Structures and Inverse Problems by Abdelkhalak El Hami,Bouchaib Radi Pdf

This book deals with the various aspects of stochastic dynamics, the resolution of large mechanical systems, and inverse problems. It integrates the most recent ideas from research and industry in the field of stochastic dynamics and optimization in structural mechanics over 11 chapters. These chapters provide an update on the various tools for dealing with uncertainties, stochastic dynamics, reliability and optimization of systems. The optimization–reliability coupling in structures dynamics is approached in order to take into account the uncertainties in the modeling and the resolution of the problems encountered. Accompanied by detailed examples of uncertainties, optimization, reliability, and model reduction, this book presents the newest design tools. It is intended for students and engineers and is a valuable support for practicing engineers and teacher-researchers.

Complex Nonlinearity

Vladimir G. Ivancevic,Tijana T. Ivancevic
Complex Nonlinearity Book PDF

Author : Vladimir G. Ivancevic,Tijana T. Ivancevic
Publisher : Springer Science & Business Media
Page : 855 pages
File Size : 55,6 Mb
Release : 2008-05-31
Category : Science
ISBN : 9783540793571

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Complex Nonlinearity by Vladimir G. Ivancevic,Tijana T. Ivancevic Pdf

Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path Integrals is a book about prediction & control of general nonlinear and chaotic dynamics of high-dimensional complex systems of various physical and non-physical nature and their underpinning geometro-topological change. The book starts with a textbook-like expose on nonlinear dynamics, attractors and chaos, both temporal and spatio-temporal, including modern techniques of chaos–control. Chapter 2 turns to the edge of chaos, in the form of phase transitions (equilibrium and non-equilibrium, oscillatory, fractal and noise-induced), as well as the related field of synergetics. While the natural stage for linear dynamics comprises of flat, Euclidean geometry (with the corresponding calculation tools from linear algebra and analysis), the natural stage for nonlinear dynamics is curved, Riemannian geometry (with the corresponding tools from nonlinear, tensor algebra and analysis). The extreme nonlinearity – chaos – corresponds to the topology change of this curved geometrical stage, usually called configuration manifold. Chapter 3 elaborates on geometry and topology change in relation with complex nonlinearity and chaos. Chapter 4 develops general nonlinear dynamics, continuous and discrete, deterministic and stochastic, in the unique form of path integrals and their action-amplitude formalism. This most natural framework for representing both phase transitions and topology change starts with Feynman’s sum over histories, to be quickly generalized into the sum over geometries and topologies. The last Chapter puts all the previously developed techniques together and presents the unified form of complex nonlinearity. Here we have chaos, phase transitions, geometrical dynamics and topology change, all working together in the form of path integrals. The objective of this book is to provide a serious reader with a serious scientific tool that will enable them to actually perform a competitive research in modern complex nonlinearity. It includes a comprehensive bibliography on the subject and a detailed index. Target readership includes all researchers and students of complex nonlinear systems (in physics, mathematics, engineering, chemistry, biology, psychology, sociology, economics, medicine, etc.), working both in industry/clinics and academia.

Non-local Structural Mechanics

Danilo Karlicic,Tony Murmu,Sondipon Adhikari,Michael McCarthy
Non local Structural Mechanics Book PDF

Author : Danilo Karlicic,Tony Murmu,Sondipon Adhikari,Michael McCarthy
Publisher : John Wiley & Sons
Page : 372 pages
File Size : 46,5 Mb
Release : 2016-01-26
Category : Technology & Engineering
ISBN : 9781848215221

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Non-local Structural Mechanics by Danilo Karlicic,Tony Murmu,Sondipon Adhikari,Michael McCarthy Pdf

Serving as a review on non-local mechanics, this book provides an introduction to non-local elasticity theory for static, dynamic and stability analysis in a wide range of nanostructures. The authors draw on their own research experience to present fundamental and complex theories that are relevant across a wide range of nanomechanical systems, from the fundamentals of non-local mechanics to the latest research applications.

Nonsmooth Mechanics

Bernard Brogliato
Nonsmooth Mechanics Book PDF

Author : Bernard Brogliato
Publisher : Springer
Page : 628 pages
File Size : 44,8 Mb
Release : 2016-02-29
Category : Technology & Engineering
ISBN : 9783319286648

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Nonsmooth Mechanics by Bernard Brogliato Pdf

Now in its third edition, this standard reference is a comprehensive treatment of nonsmooth mechanical systems refocused to give more prominence to issues connected with control and modelling. It covers Lagrangian and Newton–Euler systems, detailing mathematical tools such as convex analysis and complementarity theory. The ways in which nonsmooth mechanics influence and are influenced by well-posedness analysis, numerical analysis and simulation, modelling and control are explained. Contact/impact laws, stability theory and trajectory-tracking control are given detailed exposition connected by a mathematical framework formed from complementarity systems and measure-differential inclusions. Links are established with electrical circuits with set-valued nonsmooth elements as well as with other nonsmooth dynamical systems like impulsive and piecewise linear systems. Nonsmooth Mechanics (third edition) retains the topical structure familiar from its predecessors but has been substantially rewritten, edited and updated to account for the significant body of results that have emerged in the twenty-first century—including developments in: the existence and uniqueness of solutions; impact models; extension of the Lagrange–Dirichlet theorem and trajectory tracking; and well-posedness of contact complementarity problems with and without friction. Many figures (both new and redrawn to improve the clarity of the presentation) and examples are used to illustrate the theoretical developments. Material introducing the mathematics of nonsmooth mechanics has been improved to reflect the broad range of applications interest that has developed since publication of the second edition. The detail of some mathematical essentials is provided in four appendices. With its improved bibliography of over 1,300 references and wide-ranging coverage, Nonsmooth Mechanics (third edition) is sure to be an invaluable resource for researchers and postgraduates studying the control of mechanical systems, robotics, granular matter and relevant fields of applied mathematics. “The book’s two best features, in my view are its detailed survey of the literature... and its detailed presentation of many examples illustrating both the techniques and their limitations... For readers interested in the field, this book will serve as an excellent introductory survey.” Andrew Lewis in Automatica “It is written with clarity, contains the latest research results in the area of impact problems for rigid bodies and is recommended for both applied mathematicians and engineers.” Panagiotis D. Panagiotopoulos in Mathematical Reviews “The presentation is excellent in combining rigorous mathematics with a great number of examples... allowing the reader to understand the basic concepts.” Hans Troger in Mathematical Abstracts “/i>

New Autonomous Systems

Alain Cardon,Mhamed Itmi
New Autonomous Systems Book PDF

Author : Alain Cardon,Mhamed Itmi
Publisher : John Wiley & Sons
Page : 234 pages
File Size : 44,5 Mb
Release : 2016-03-14
Category : Technology & Engineering
ISBN : 9781119288015

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New Autonomous Systems by Alain Cardon,Mhamed Itmi Pdf

The idea of autonomous systems that are able to make choices according to properties which allow them to experience, apprehend and assess their environment is becoming a reality. These systems are capable of auto-configuration and self-organization. This book presents a model for the creation of autonomous systems based on a complex substratum, made up of multiple electronic components that deploy a variety of specific features. This substratum consists of multi-agent systems which act continuously and autonomously to collect information from the environment which they then feed into the global system, allowing it to generate discerning and concrete representations of its surroundings. These systems are able to construct a so-called artificial corporeity which allows them to have a sense of self, to then behave autonomously, in a way reminiscent of living organisms.

Reliability of Maintained Systems Subjected to Wear Failure Mechanisms

Franck Bayle
Reliability of Maintained Systems Subjected to Wear Failure Mechanisms Book PDF

Author : Franck Bayle
Publisher : John Wiley & Sons
Page : 215 pages
File Size : 54,9 Mb
Release : 2019-04-10
Category : Technology & Engineering
ISBN : 9781119610656

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Reliability of Maintained Systems Subjected to Wear Failure Mechanisms by Franck Bayle Pdf

Today, the reliability of systems has become a major issue in most industrial applications. The theoretical approach to estimating reliability was largely developed in the 1960s for maintenance-free systems, and more recently, in the late 1990s, it was developed for maintenance-based systems. Customers’ expectations concerning reliability (as well as maintenance, safety, etc.) are growing ever more demanding over the generations of systems. However, the theoretical methods used to handle the systems are not suitable when aging mechanisms are present. This book proposes a theoretical approach to estimate all of these quantities correctly. In addition to the theoretical aspect, it details a number of issues that any industrial system will meet sooner or later, whether due to design flaws, the batch of components, manufacturing problems or new technologies that result in the aging of mechanisms during their operational use.

From Prognostics and Health Systems Management to Predictive Maintenance 2

Brigitte Chebel-Morello,Jean-Marc Nicod,Christophe Varnier
From Prognostics and Health Systems Management to Predictive Maintenance 2 Book PDF

Author : Brigitte Chebel-Morello,Jean-Marc Nicod,Christophe Varnier
Publisher : John Wiley & Sons
Page : 170 pages
File Size : 52,6 Mb
Release : 2017-08-07
Category : Technology & Engineering
ISBN : 9781848219380

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From Prognostics and Health Systems Management to Predictive Maintenance 2 by Brigitte Chebel-Morello,Jean-Marc Nicod,Christophe Varnier Pdf

This book is the second volume in a set of books dealing with the evolution of technology, IT and organizational approaches and what this means for industrial equipment. The authors address this increasing complexity in two parts, focusing specifically on the field of Prognostics and Health Management (PHM). Having tackled the PHM cycle in the first volume, the purpose of this book is to tackle the other phases of PHM, including the traceability of data, information and knowledge, and the ability to make decisions accordingly. The book concludes with a summary analysis and perspectives regarding this emerging domain, since without traceability, knowledge and decision, any prediction of the health state of a system cannot be exploited.

Movement Equations 3

Michel Borel,Georges Vénizélos
Movement Equations 3 Book PDF

Author : Michel Borel,Georges Vénizélos
Publisher : John Wiley & Sons
Page : 188 pages
File Size : 43,6 Mb
Release : 2017-09-25
Category : Science
ISBN : 9781119467083

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Movement Equations 3 by Michel Borel,Georges Vénizélos Pdf

This volume is the focal point of the work undertaken in the previous volumes of this set of books: the statement of the fundamental principle of the dynamics whose implementation, according to two paths whose choice depends on the problem to be treated, leads to equations of motion. In order to achieve this, it is treated first of all in the context of solids in their environment, as a prerequisite for the formulation of the fundamental principle. Then, in addition to its use in some exercises, the approach is illustrated by three particular cases. The first is an example where it is developed end-to-end and addresses the two approaches that lead to the equations of motion. The two other examples deal with two classical but important subjects, the movement of the Earth according to the hypotheses that can be stated about it, and Foucault’s pendulum.

Movement Equations 5

Georges Vénizélos,Abdelkhalak El Hami
Movement Equations 5 Book PDF

Author : Georges Vénizélos,Abdelkhalak El Hami
Publisher : John Wiley & Sons
Page : 136 pages
File Size : 51,7 Mb
Release : 2019-12-03
Category : Science
ISBN : 9781119681014

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Movement Equations 5 by Georges Vénizélos,Abdelkhalak El Hami Pdf

The final volume in the Non-deformable Solid Mechanics set, Movement Equations 5 deals with the dynamics of sets of solids. This volume provides the appropriate mathematical tools (torsor calculus and matrix calculus) to obtain and solve the equations of motion for a chain of solids. These equations are then used to acquire the information necessary for the design of mechanical systems. Also examined are the vibratory behavior of continuous (deformable) systems, rigid and deformable solids, and sets of several solids. The book concludes with a study of the response of an excited system as a function of the excitation frequency. Accompanied by detailed examples, this book is aimed primarily at students, but would also serve as a valuable support for working engineers and teacher-researchers.

Uncertainty and Artificial Intelligence

Abdelkhalak El Hami
Uncertainty and Artificial Intelligence Book PDF

Author : Abdelkhalak El Hami
Publisher : John Wiley & Sons
Page : 144 pages
File Size : 55,7 Mb
Release : 2023-11-28
Category : Computers
ISBN : 9781394255344

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Uncertainty and Artificial Intelligence by Abdelkhalak El Hami Pdf

Today's information technology, along with Artificial Intelligence (AI), is moving towards total communication between all computerized systems. AI is a representation of human intelligence based on the creation and application of algorithms in specific computer environments. Its aim is to enable computers to act like human beings. For it to work, this type of technology requires computer systems, data with management systems and advanced algorithms, used by AI. In mechanical engineering, AI can offer many possibilities: in mechanical construction, predictive maintenance, plant monitoring, robotics, additive manufacturing, materials, vibration control and agro composites, among many others. This book is dedicated to Artificial Intelligence uncertainties in mechanical problems. Each chapter clearly sets out used and developed illustrative examples. Aimed at students, Uncertainty and Artificial Intelligence is also a valuable resource for practicing engineers and research lecturers.