Systèmes dynamiques discrets non réguliers déterministes ou stochastiques : applications aux modèles avec frottement ou impact

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Publisher : Lavoisier
ISBN 13 : 2746289083
Total Pages : 546 pages
Book Rating : 4.7/5 (462 download)

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Book Synopsis Systèmes dynamiques discrets non réguliers déterministes ou stochastiques : applications aux modèles avec frottement ou impact by : BASTIEN Jérôme

Download or read book Systèmes dynamiques discrets non réguliers déterministes ou stochastiques : applications aux modèles avec frottement ou impact written by BASTIEN Jérôme and published by Lavoisier. This book was released on 2012-11-21 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage présente différents modèles discrets en dynamique pour la modélisation de phénomènes mécaniques non linéaires liés au frottement ou à l’impact. Les sollicitations sont exposées dans un cadre déterministe et stochastique. Pour ce dernier, le cas de variétés de configuration euclidienne ou riemannienne est abordé. La difficulté réside dans le type d’équations différentielles non linéaires particulières utilisées. Le cadre théorique ainsi que des schémas numériques sont détaillés pour chaque équation. Trois types de problèmes sont d’abord étudiés dans le cas particulier d’un solide à un degré de liberté : la force de frottement, la loi d’impact en déterministe et le frottement dans un cadre stochastique. Ensuite, de nombreux exemples sont commentés et fournissent, dans un cadre théorique ou applicatif, de nombreux modèles accompagnés de leurs schémas numériques. Des rappels théoriques fondamentaux sont proposés ainsi que deux preuves complètes de convergence de schémas numériques dans le cas du frottement déterministe ou stochastique.

Modélisation de systèmes dynamiques déterministes, stochastiques ou discrets

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (115 download)

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Book Synopsis Modélisation de systèmes dynamiques déterministes, stochastiques ou discrets by : Frédéric Pierret

Download or read book Modélisation de systèmes dynamiques déterministes, stochastiques ou discrets written by Frédéric Pierret and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Le problème général est d'analyser l'impact du choix d'un cadre mathématique en modélisation sur les prédictions d'un modèle. Dans cette thèse nous étudions le cadre déterministe, stochastique, discret et time-scale. En particulier nous étudions la préservation par ces divers formalismes de structures importantes comme : la structure variationnelle (lagrangienne ou hamiltonienne), les symétries et en particulier les intégrales premières (théorèmes de Noether), les points d'équilibre et plus généralement les ensembles invariants et enfin des propriétés dynamiques plus fines (stabilités, positivités, etc). Ces développements utilisent le cadre des plongements et permettent dans le cas discret de préciser la construction d'intégrateurs numériques variationnels ou non-standards. Dans le cas stochastique, nous obtenons une modification du schéma d'Euler-Maruyama permettant de préserver des contraintes dynamiques comme la positivité. Chacun de ces outils et résultats sont illustrés dans des problèmes d'astronomie et de physique. Nous étudions un problème des deux-corps avec une perturbation stochastique puis un problème sur la rotation d'un corps ayant des variations stochastiques de son aplatissement. Le changement de nature induit des effets surprenants comme une accélération de la précession pour le problème des deux-corps, et pour la rotation cela permet d'interpréter, pour la Terre par exemple, des effets observés jusqu'alors non expliqués. Tout ce travail a conduit à repenser la modélisation et nous avons construit pour cela de nouveaux objets qui entrent dans un cadre que nous avons appelé dynamique d'échelle et qui permet l'étude d'objets et de structures multiéchelles.

Non-Smooth Deterministic or Stochastic Discrete Dynamical Systems

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Publisher : John Wiley & Sons
ISBN 13 : 1118604083
Total Pages : 514 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Non-Smooth Deterministic or Stochastic Discrete Dynamical Systems by : Jerome Bastien

Download or read book Non-Smooth Deterministic or Stochastic Discrete Dynamical Systems written by Jerome Bastien and published by John Wiley & Sons. This book was released on 2013-03-18 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Etude de quelques modèles déterministes et stochastiques de systèmes dynamiques à temps discret

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Publisher :
ISBN 13 :
Total Pages : 153 pages
Book Rating : 4.:/5 (489 download)

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Book Synopsis Etude de quelques modèles déterministes et stochastiques de systèmes dynamiques à temps discret by : Victor Harison

Download or read book Etude de quelques modèles déterministes et stochastiques de systèmes dynamiques à temps discret written by Victor Harison and published by . This book was released on 1983 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Le travail présenté concerne l'étude de différents modèles bilinéaires de systèmes dynamiques à temps discret dans leurs versions déterministe et stochastique. Dans le cas déterministe on précise des conditions assurant des propriétés de contrôlabilité, d'observabilité et d'identifiabilité partielle de l'entrée. Dans le cas stochastique on examine les problèmes d'existence d'un processus d'état stationnaire, d'existence des moments d'un tel processus ainsi que les problèmes statistiques de filtrage de l'état et d'estimation des paramètres.

Stabilité des Systèmes Dynamiques Non-réguliers et Applications

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Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Stabilité des Systèmes Dynamiques Non-réguliers et Applications by : Ba Khiet Le

Download or read book Stabilité des Systèmes Dynamiques Non-réguliers et Applications written by Ba Khiet Le and published by . This book was released on 2013 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This manuscript deals with the stability of non-smooth dynamical systems and applications. More precisely, we aim to provide a formulation to study the stability analysis of non-smooth dynamical systems, particularly in electrical circuits and mechanics with dry friction and robustness. The efficient tools which we have used are non-smooth analysis, Lyapunov stability theorem and non-smooth mathematical frameworks : complementarity and differentials inclusions. in details, we use complementarity formalism to model some simple switch systems and differential inclusions to model a Dc-Dc Buck converter, Lagrange dynamical systems and Lur'e systems. For each model, we are interested in the well-posedness, stability properties of trajectories, even finite-time stability or putting a control force to obtain finite-time stability, and finding numerical ways to simulate the systems. The theoretical results are supported by some examples in electrical circuits and mechanics with numerical simulations. It is noted that the method used in this monograph can be applied to analyze for non-smooth dynamical systems from other fields such as economics, finance or biology...

Méthodes numériques pour les systèmes dynamiques non linéaires

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (864 download)

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Book Synopsis Méthodes numériques pour les systèmes dynamiques non linéaires by : Sami Karkar

Download or read book Méthodes numériques pour les systèmes dynamiques non linéaires written by Sami Karkar and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ces travaux s'articulent autour du calcul des solutions périodiques dans les systèmes dynamiques non linéaires, au moyen de méthodes numériques de continuation. La recherche de solutions périodiques se traduit par un problème avec conditions aux limites périodiques, pour lequel nous avons implémenté deux méthodes d'approximation : - Une méthode spectrale dans le domaine fréquentiel, l'équilibrage harmonique d'ordre élevé, qui repose sur une formulation quadratique des équations. Nous proposons en outre une extension de cette méthode aux cas de non-linéarités non rationnelles. - Une méthode pseudo-spectrale dans le domaine temporel, la collocation à l'aide fonctions polynômiales par morceaux. Ces méthodes transforment le problème continu en un système d'équations algébriques non linéaires, dont les solutions sont calculées par continuation à l'aide de la méthode asymptotique numérique. L'ensemble de ces outils, complétés d'une analyse linéaire de stabilité, sont intégrés au code de calcul MANLAB. Applications : Un modèle physique non-régulier de clarinette est étudié en détail : à partir de la branche de solutions statiques et ses bifurcations, on calcule les différentes branches de solutions périodiques, ainsi que leur stabilité et leurs bifurcations. Ce modèle est ensuite adapté au cas du saxophone, pour lequel on intègre une caractérisation acoustique expérimentale, afin de mieux tenir compte de la géométrie complexe de l'instrument. Enfin, nous étudions un modèle physique simplifié de violon, avec une non-régularité liée frottement de Coulomb.

Turbulence

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Publisher : Cambridge University Press
ISBN 13 : 1139935976
Total Pages : 318 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis Turbulence by : Uriel Frisch

Download or read book Turbulence written by Uriel Frisch and published by Cambridge University Press. This book was released on 1995-11-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The state-of-the-art is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A. N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such 'fully developed turbulence' is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers. Elementary presentations of dynamical systems ideas, of probabilistic methods (including the theory of large deviations) and of fractal geometry make this a self-contained textbook.

Livestock Policy Analysis

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Publisher : ILRI (aka ILCA and ILRAD)
ISBN 13 : 9789291460038
Total Pages : 268 pages
Book Rating : 4.4/5 (6 download)

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Book Synopsis Livestock Policy Analysis by : International Livestock Research Institute

Download or read book Livestock Policy Analysis written by International Livestock Research Institute and published by ILRI (aka ILCA and ILRAD). This book was released on 1995-01-01 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Policy concepts; Identification of policy issues; Production systems, supply and demand; Market, price and trade policies; Marketing and distribution systems; Budget and manpower planning; Land tenure police for the livestock sector; Policy analysis report writing and communication; Livestock production and marketing in alphabeta - a case study.

A Parallel Finite Volume Algorithm for Large-eddy Simulation of Turbulent Flows

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Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis A Parallel Finite Volume Algorithm for Large-eddy Simulation of Turbulent Flows by : Trong T. Bui

Download or read book A Parallel Finite Volume Algorithm for Large-eddy Simulation of Turbulent Flows written by Trong T. Bui and published by . This book was released on 1998 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Agricultural English

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Publisher : Cambridge Scholars Publishing
ISBN 13 : 1443839612
Total Pages : 385 pages
Book Rating : 4.4/5 (438 download)

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Book Synopsis Agricultural English by : Georgeta Raţă

Download or read book Agricultural English written by Georgeta Raţă and published by Cambridge Scholars Publishing. This book was released on 2012-04-25 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Agricultural English is a collection of essays on the English of Agriculture. The approach is a linguistic one: the different aspects of the English used in the field of agriculture (agricultural practices, agricultural systems) and in some fields related to agriculture (agricultural zoology, agri-tourism, biology, botany, ecology, entomology, gastronomy, land measurement, plant pathology, zoology) are analysed from a morphological (combination, derivation), syntactical (nominal phrases, verbal phrases), lexical and lexicographical, semantic (homonymy, semantic fields, synonymy, terminology), pragmatic (academic discourse, idiom, metaphor), etymological (etymon, Latin heritage), and contrastive (English–Croatian, English–French, English–German, English–Romanian, Romanian–English) points of view. The book will appeal to agriculturists, animal breeders, professors, researchers, students, and translators from Croatian-, English-, French-, German-, and Romanian-speaking countries, active in their own countries or abroad. The types of academic readership it would appeal to include academic teaching staff, researchers and students in the fields of agriculture and related fields – agricultural zoology, agri-tourism, biology, botany, ecology, entomology, gastronomy, land measurement, plant pathology, and zoology.

Nonsmooth Variational Problems and Their Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 038746252X
Total Pages : 404 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Nonsmooth Variational Problems and Their Inequalities by : Siegfried Carl

Download or read book Nonsmooth Variational Problems and Their Inequalities written by Siegfried Carl and published by Springer Science & Business Media. This book was released on 2007-06-07 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses primarily on nonsmooth variational problems that arise from boundary value problems with nonsmooth data and/or nonsmooth constraints, such as multivalued elliptic problems, variational inequalities, hemivariational inequalities, and their corresponding evolution problems. It provides a systematic and unified exposition of comparison principles based on a suitably extended sub-supersolution method.

Stability and Convergence of Mechanical Systems with Unilateral Constraints

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Publisher : Springer Science & Business Media
ISBN 13 : 3540769757
Total Pages : 241 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Stability and Convergence of Mechanical Systems with Unilateral Constraints by : Remco I. Leine

Download or read book Stability and Convergence of Mechanical Systems with Unilateral Constraints written by Remco I. Leine and published by Springer Science & Business Media. This book was released on 2007-12-29 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the stability theory for systems with bilateral constraints is a well-established field, this monograph represents a systematic study of mechanical systems with unilateral constraints, such as unilateral contact, impact and friction. Such unilateral constraints give rise to non-smooth dynamical models for which stability theory is developed in this work. The book will be of interest to those working in the field of non-smooth mechanics and dynamics.

Piecewise-smooth Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1846287081
Total Pages : 497 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Piecewise-smooth Dynamical Systems by : Mario Bernardo

Download or read book Piecewise-smooth Dynamical Systems written by Mario Bernardo and published by Springer Science & Business Media. This book was released on 2008-01-01 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction expounds the ubiquity of such models via numerous. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level. Almost no mathematical background is assumed other than basic calculus and algebra.

The Linear Complementarity Problem

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Publisher : SIAM
ISBN 13 : 0898716861
Total Pages : 781 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis The Linear Complementarity Problem by : Richard W. Cottle

Download or read book The Linear Complementarity Problem written by Richard W. Cottle and published by SIAM. This book was released on 2009-08-27 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised edition of the standard reference on the linear complementarity problem.

Numerical Methods for Nonsmooth Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540753923
Total Pages : 529 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Numerical Methods for Nonsmooth Dynamical Systems by : Vincent Acary

Download or read book Numerical Methods for Nonsmooth Dynamical Systems written by Vincent Acary and published by Springer Science & Business Media. This book was released on 2008-01-30 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Matrix Mathematics

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Publisher : Princeton University Press
ISBN 13 : 9780691118024
Total Pages : 776 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Matrix Mathematics by : Dennis S. Bernstein

Download or read book Matrix Mathematics written by Dennis S. Bernstein and published by Princeton University Press. This book was released on 2005 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix Mathematics is a reference work for users of matrices in all branches of engineering, science, and applied mathematics. This book brings together a vast body of results on matrix theory for easy reference and immediate application. Each chapter begins with the development of relevant background theory followed by a large collection of specialized results. Hundreds of identities, inequalities, and matrix facts are stated rigorously and clearly with cross references, citations to the literature, and illuminating remarks. Twelve chapters cover all of the major topics in matrix theory: preliminaries; basic matrix properties; matrix classes and transformations; matrix polynomials and rational transfer functions; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; norms; functions of matrices and their derivatives; the matrix exponential and stability theory; and linear systems and control theory. A detailed list of symbols, a summary of notation and conventions, an extensive bibliography with author index, and an extensive index are provided for ease of use. The book will be useful for students at both the undergraduate and graduate levels, as well as for researchers and practitioners in all branches of engineering, science, and applied mathematics.

Operations Research, Engineering, and Cyber Security

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Publisher : Springer
ISBN 13 : 3319515004
Total Pages : 424 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Operations Research, Engineering, and Cyber Security by : Nicholas J. Daras

Download or read book Operations Research, Engineering, and Cyber Security written by Nicholas J. Daras and published by Springer. This book was released on 2017-03-14 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical methods and theories with interdisciplinary applications are presented in this book. The eighteen contributions presented in this Work have been written by eminent scientists; a few papers are based on talks which took place at the International Conference at the Hellenic Artillery School in May 2015. Each paper evaluates possible solutions to long-standing problems such as the solvability of the direct electromagnetic scattering problem, geometric approaches to cyber security, ellipsoid targeting with overlap, non-equilibrium solutions of dynamic networks, measuring ballistic dispersion, elliptic regularity theory for the numerical solution of variational problems, approximation theory for polynomials on the real line and the unit circle, complementarity and variational inequalities in electronics, new two-slope parameterized achievement scalarizing functions for nonlinear multiobjective optimization, and strong and weak convexity of closed sets in a Hilbert space. /divGraduate students, scientists, engineers and researchers in pure and applied mathematical sciences, operations research, engineering, and cyber security will find the interdisciplinary scientific perspectives useful to their overall understanding and further research.