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

Author: BASTIEN Jérôme
Publisher: Lavoisier
ISBN: 2746289083
Category :
Languages : en
Pages : 546

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Book Description
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.

Author: Uriel Frisch
Publisher: Cambridge University Press
ISBN: 1139935976
Category : Science
Languages : en
Pages : 318

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Book Description
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.

Author: International Livestock Research Institute
Publisher: ILRI (aka ILCA and ILRAD)
ISBN: 9789291460038
Category : Animal industry
Languages : en
Pages : 268

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Book Description
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.

Author: Trong T. Bui
Publisher:
ISBN:
Category : Parallel computers
Languages : en
Pages : 28

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Book Description

Author: Siegfried Carl
Publisher: Springer Science & Business Media
ISBN: 038746252X
Category : Mathematics
Languages : en
Pages : 404

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Book Description
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.

Author: Remco I. Leine
Publisher: Springer Science & Business Media
ISBN: 3540769757
Category : Technology & Engineering
Languages : en
Pages : 241

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Book Description
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.

Author: Mario Bernardo
Publisher: Springer Science & Business Media
ISBN: 1846287081
Category : Mathematics
Languages : en
Pages : 497

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Book Description
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.

Author: Richard W. Cottle
Publisher: SIAM
ISBN: 0898716861
Category : Mathematics
Languages : en
Pages : 781

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Book Description
A revised edition of the standard reference on the linear complementarity problem.

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: Dennis S. Bernstein
Publisher: Princeton University Press
ISBN: 9780691118024
Category : Mathematics
Languages : en
Pages : 776

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Book Description
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.