Numerical Methods for Nonsmooth Dynamical Systems PDF Download
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Author: Vincent Acary
Publisher: Springer Science & Business Media
ISBN: 3540753923
Category : Technology & Engineering
Languages : en
Pages : 529
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Book Description
This book concerns the numerical simulation of dynamical systems whose trajec- ries may not be differentiable everywhere. They are named nonsmooth dynamical systems. They make an important class of systems, rst because of the many app- cations in which nonsmooth models are useful, secondly because they give rise to new problems in various elds of science. Usually nonsmooth dynamical systems are represented as differential inclusions, complementarity systems, evolution va- ational inequalities, each of these classes itself being split into several subclasses. The book is divided into four parts, the rst three parts being sketched in Fig. 0. 1. The aim of the rst part is to present the main tools from mechanics and applied mathematics which are necessary to understand how nonsmooth dynamical systems may be numerically simulated in a reliable way. Many examples illustrate the th- retical results, and an emphasis is put on mechanical systems, as well as on electrical circuits (the so-called Filippov’s systems are also examined in some detail, due to their importance in control applications). The second and third parts are dedicated to a detailed presentation of the numerical schemes. A fourth part is devoted to the presentation of the software platform Siconos. This book is not a textbook on - merical analysis of nonsmooth systems, in the sense that despite the main results of numerical analysis (convergence, order of consistency, etc. ) being presented, their proofs are not provided.
Author: Vincent Acary
Publisher: Springer Science & Business Media
ISBN: 3540753923
Category : Technology & Engineering
Languages : en
Pages : 529
Get Book Here
Book Description
This book concerns the numerical simulation of dynamical systems whose trajec- ries may not be differentiable everywhere. They are named nonsmooth dynamical systems. They make an important class of systems, rst because of the many app- cations in which nonsmooth models are useful, secondly because they give rise to new problems in various elds of science. Usually nonsmooth dynamical systems are represented as differential inclusions, complementarity systems, evolution va- ational inequalities, each of these classes itself being split into several subclasses. The book is divided into four parts, the rst three parts being sketched in Fig. 0. 1. The aim of the rst part is to present the main tools from mechanics and applied mathematics which are necessary to understand how nonsmooth dynamical systems may be numerically simulated in a reliable way. Many examples illustrate the th- retical results, and an emphasis is put on mechanical systems, as well as on electrical circuits (the so-called Filippov’s systems are also examined in some detail, due to their importance in control applications). The second and third parts are dedicated to a detailed presentation of the numerical schemes. A fourth part is devoted to the presentation of the software platform Siconos. This book is not a textbook on - merical analysis of nonsmooth systems, in the sense that despite the main results of numerical analysis (convergence, order of consistency, etc. ) being presented, their proofs are not provided.
Author: Gérard Meunier
Publisher: John Wiley & Sons
ISBN: 0470393807
Category : Science
Languages : en
Pages : 618
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Book Description
Written by specialists of modeling in electromagnetism, this book provides a comprehensive review of the finite element method for low frequency applications. Fundamentals of the method as well as new advances in the field are described in detail. Chapters 1 to 4 present general 2D and 3D static and dynamic formulations by the use of scalar and vector unknowns and adapted interpolations for the fields (nodal, edge, face or volume). Chapter 5 is dedicated to the presentation of different macroscopic behavior laws of materials and their implementation in a finite element context: anisotropy and hysteretic properties for magnetic sheets, iron losses, non-linear permanent magnets and superconductors. More specific formulations are then proposed: the modeling of thin regions when finite elements become misfit (Chapter 6), infinite domains by using geometrical transformations (Chapter 7), the coupling of 2D and 3D formulations with circuit equations (Chapter 8), taking into account the movement, particularly in the presence of Eddy currents (Chapter 9) and an original approach for the treatment of geometrical symmetries when the sources are not symmetric (Chapter 10). Chapters 11 to 13 are devoted to coupled problems: magneto-thermal coupling for induction heating, magneto-mechanical coupling by introducing the notion of strong and weak coupling and magneto-hydrodynamical coupling focusing on electromagnetic instabilities in fluid conductors. Chapter 14 presents different meshing methods in the context of electromagnetism (presence of air) and introduces self-adaptive mesh refinement procedures. Optimization techniques are then covered in Chapter 15, with the adaptation of deterministic and probabilistic methods to the numerical finite element environment. Chapter 16 presents a variational approach of electromagnetism, showing how Maxwell equations are derived from thermodynamic principles.
Author: Olivier Pantz
Publisher:
ISBN:
Category :
Languages : fr
Pages : 0
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Book Description
Author: F. Darve
Publisher: CRC Press
ISBN: 0203498054
Category : Architecture
Languages : en
Pages : 435
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Book Description
Author: Gilles Aubert
Publisher:
ISBN:
Category :
Languages : fr
Pages :
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Book Description
THEOREMES D'EXISTENCE POUR UN TYPE DE PROBLEMES DU CALCUL DES VARIATIONS, ET EN OPTIMISATION NON CONVEXE. MINIMISATION D'UNE FONCTIONNELLE NON CONVEXE, NON DIFFERENTIABLE EN DIMENSION 1. REMARQUES SUR UN PROBLEME D'ELASTICITE NON LINEAIRE. FAIBLE FERMETURE DE CERTAINS ENSEMBLES DE CONTRAINTES EN ELASTICITE NON LINEAIRE PLANE. CONDITIONS NECESSAIRES DE FAIBLE FERMETURE ET DE 1-RANG CONVEXITE EN DIMENSION 3. THEOREMES DE CARACTERISATION DE LA POLYCONVEXITE ET DE LA 1-RANG CONVEXITE EN DIMENSIONS 2 ET 3
Author: Bogdan Księżopolski
Publisher: CRC Press
ISBN: 1138000604
Category : Computers
Languages : en
Pages : 734
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Book Description
Introducing the Quality of Protection Modeling Language (QoP-ML), this book provides for the abstraction of security systems while maintaining emphasis on the details of quality protection . It delineates the steps used in cryptographic protocol and introduces a multilevel protocol analysis that expands current understanding. Every operation defined by QoP-ML is described within parameters of security metrics, therefore evaluating the impact of the operation on the entire system's security.
Author:
Publisher:
ISBN:
Category : Civil engineering
Languages : en
Pages : 1034
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Book Description
Author: O. Aydan
Publisher: CRC Press
ISBN: 9789054103097
Category : Technology & Engineering
Languages : en
Pages : 1008
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Book Description
A collection of papers addressing the issue of the failure of rock engineering structures. This phenomenon occurs in different forms depending on the geometry of structure, material properties of intact rock, structure of rock mass, environmental conditions and initial state of stress.
Author: Mustapha Samih
Publisher:
ISBN:
Category :
Languages : fr
Pages : 210
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Book Description
PARTANT D'UN CAS DE MODELISATION DE DONNEES ECOLOGIQUES, NOUS AVONS TRAITE DANS LA PREMIERE PARTIE DES PROBLEMES SPECIFIQUES DE LA MODELISATION NON LINEAIRE: L'ESTIMATION NUMERIQUE DES PARAMETRES, LES REGIONS DE CONFIANCE ET LES LIENS AVEC LES MESURES DE NON LINEARITE. LES PLANS D'EXPERIENCE ET LE CRITERE D'AKAIKE POUR LE CHOIX ENTRE MODELES ONT ETE INTEGRES DANS LA DEMARCHE GENERALE DE LA MODELISATION NON LINEAIRE. DANS LA DEUXIEME PARTIE, DES DONNEES ECOLOGIQUES ONT ETE TRAITEES. LE PROBLEME A ETE ABORDE DANS UN CADRE DE SYSTEMIQUE ET LES COEFFICIENTS DE TRANSFERT ENTRE LES DIFFERENTS COMPARTIMENTS ECOLOGIQUES CONSIDERES ONT ETE ESTIMES
Author: SAANOUNI Khemais
Publisher: Lavoisier
ISBN: 2746282259
Category :
Languages : en
Pages : 578
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Book Description
Cet ouvrage fait le point sur les méthodes actuelles les plus performantes pour modéliser, simuler et optimiser les procédés de mise en forme des structures minces et massives et d'en donner les tendances des nouvelles méthodes innovantes actuellement en cours de développement et qui feront à n'en pas douter les "outils" industriels de demain dans le domaine du formage virtuel. Par rapport aux ouvrages récents dédiés aux méthodes numériques en mise en forme, le principal apport de ce livre se trouve rassemblé au deuxième chapitre qui concerne le développement des modèles de comportement multiphysiques à fortes capacités prédictives, utilisables dans les codes de calcul des structures pour simuler et optimiser tous types de procédés de mise en forme par grandes déformations irréversibles de structures métalliques minces et/ou massives et leur "optimisation" vis-à-vis de l'avènement de l'endommagement ductile.
