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

Author: BASTIEN Jérôme

Publisher: Lavoisier

Published: 2012-11-21

Total Pages: 546

ISBN-13: 2746289083

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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.

Symplectic Geometry and Mathematical Physics
Symplectic Geometry and Mathematical Physics

Author: P. Donato

Publisher: Springer Science & Business Media

Published: 1991-12

Total Pages: 504

ISBN-13: 9780817635817

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This volume contains the proceedings of the conference "Colloque de Goometrie Symplectique et Physique Mathematique" which was held in Aix-en-Provence (France), June 11-15, 1990, in honor of Jean-Marie Souriau. The conference was one in the series of international meetings of the Seminaire Sud Rhodanien de Goometrie, an organization of geometers and mathematical physicists at the Universities of Avignon, Lyon, Mar seille, and Montpellier. The scientific interests of Souriau, one of the founders of geometric quantization, range from classical mechanics (symplectic geometry) and quantization problems to general relativity and astrophysics. The themes of this conference cover "only" the first two of these four areas. The subjects treated in this volume could be classified in the follow ing way: symplectic and Poisson geometry (Arms-Wilbour, Bloch-Ratiu, Brylinski-Kostant, Cushman-Sjamaar, Dufour, Lichnerowicz, Medina, Ouzilou), classical mechanics (Benenti, Holm-Marsden, Marle) , particles and fields in physics (Garcia Perez-Munoz Masque, Gotay, Montgomery, Ne'eman-Sternberg, Sniatycki) and quantization (Blattner, Huebschmann, Karasev, Rawnsley, Roger, Rosso, Weinstein). However, these subjects are so interrelated that a classification by headings such as "pure differential geometry, applications of Lie groups, constrained systems in physics, etc. ," would have produced a completely different clustering! The list of authors is not quite identical to the list of speakers at the conference. M. Karasev was invited but unable to attend; C. Itzykson and M. Vergne spoke on work which is represented here only by the title of Itzykson's talk (Surfaces triangulees et integration matricielle) and a summary of Vergne's talk.

Mechanical Vibrations
Mechanical Vibrations

Author: Michel Geradin

Publisher: John Wiley & Sons

Published: 2015-02-16

Total Pages: 616

ISBN-13: 1118900200

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Mechanical Vibrations: Theory and Application to Structural Dynamics, Third Edition is a comprehensively updated new edition of the popular textbook. It presents the theory of vibrations in the context of structural analysis and covers applications in mechanical and aerospace engineering. Key features include: A systematic approach to dynamic reduction and substructuring, based on duality between mechanical and admittance concepts An introduction to experimental modal analysis and identification methods An improved, more physical presentation of wave propagation phenomena A comprehensive presentation of current practice for solving large eigenproblems, focusing on the efficient linear solution of large, sparse and possibly singular systems A deeply revised description of time integration schemes, providing framework for the rigorous accuracy/stability analysis of now widely used algorithms such as HHT and Generalized-α Solved exercises and end of chapter homework problems A companion website hosting supplementary material

Kam Story, The: A Friendly Introduction To The Content, History, And Significance Of Classical Kolmogorov-arnold-moser Theory
Kam Story, The: A Friendly Introduction To The Content, History, And Significance Of Classical Kolmogorov-arnold-moser Theory

Author: H Scott Dumas

Publisher: World Scientific Publishing Company

Published: 2014-02-28

Total Pages: 378

ISBN-13: 9814556602

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This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and scientific-minded readers. Parts of the book should also appeal to less mathematically trained readers with an interest in the history or philosophy of science.The scope of the book is broad: it not only describes KAM theory in some detail, but also presents its historical context (thus showing why it was a “breakthrough”). Also discussed are applications of KAM theory (especially to celestial mechanics and statistical mechanics) and the parts of mathematics and physics in which KAM theory resides (dynamical systems, classical mechanics, and Hamiltonian perturbation theory).Although a number of sources on KAM theory are now available for experts, this book attempts to fill a long-standing gap at a more descriptive level. It stands out very clearly from existing publications on KAM theory because it leads the reader through an accessible account of the theory and places it in its proper context in mathematics, physics, and the history of science.

Fiabilité, diagnostic et maintenance des systèmes
Fiabilité, diagnostic et maintenance des systèmes

Author: LYONNET Patrick

Publisher: Lavoisier

Published: 2012-06-22

Total Pages: 394

ISBN-13: 2743063858

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Permettre de concevoir, développer et utiliser des systèmes de diagnostic, de surveillance et de maintenance prédictive pour systèmes complexes (avions, centrales nucléaires, transport, etc.), afin d'optimiser les performances de la sûreté de fonctionnement : tel est l'objectif de cet ouvrage. Pour cela Fiabilité, diagnostic et maintenance prédictive des systèmes s'appuie sur la modélisation des systèmes (parties commandes et opératives), l'évaluation probabiliste et déterministe du fonctionnement, et la conception de systèmes de surveillance. Cet ouvrage fait le lien entre le diagnostic, la maintenance et la fiabilité des systèmes techniques, du plus simple au plus complexe. Son approche novatrice et sa présentation en font un véritable guide théorique et pratique pour les ingénieurs qui pourront y trouver la réponse à de nombreux problèmes de diagnostic, de surveillance et de maintenance, en particulier grâce à l'analyse vibratoire. Très didactique et accompagné de plus de 100 exercices et problèmes résolus reflétant des situations concrètes, il présente les concepts de base pour concevoir et développer correctement des outils ou des systèmes de diagnostic et de maintenance conditionnelle (prédictive) indispensables aux ingénieurs ou aux élèves ingénieurs en génie industriel, génie mécanique, robotique ou sûreté de fonctionnement dans les domaines les plus variés.

Analytical Mechanics: A Comprehensive Treatise On The Dynamics Of Constrained Systems (Reprint Edition)
Analytical Mechanics: A Comprehensive Treatise On The Dynamics Of Constrained Systems (Reprint Edition)

Author: John G Papastavridis

Publisher: World Scientific

Published: 2014-03-06

Total Pages: 1417

ISBN-13: 9814590363

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This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Luré, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated.

Geometry and Dynamics of Integrable Systems
Geometry and Dynamics of Integrable Systems

Author: Alexey Bolsinov

Publisher: Birkhäuser

Published: 2016-10-27

Total Pages: 148

ISBN-13: 3319335030

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Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemàtica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields. Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.

Limit States of Materials and Structures
Limit States of Materials and Structures

Author: Dieter Weichert

Publisher: Springer Science & Business Media

Published: 2009-02-22

Total Pages: 305

ISBN-13: 1402096348

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To predict loading limits for structures and structural elements is one of the oldest and most important tasks of engineers. Among the theoretical and numericalmethodsavailableforthispurpose,so-called“DirectMethods”,- bracing Limit- and Shakedown Analysis, play an eminent role due to the fact that they allow rapid access to the requested information in mathematically constructive manners. The collection of papers in this book is the outcome of a workshop held at Aachen University of Technology in November 2007. The individual c- tributions stem in particular from the areas of new numerical developments renderingthemethodsmoreattractive forindustrialdesign,extensionsofthe general methodology to new horizons of application, probabilistic approaches and concrete technological applications. The papers are arranged according to the order of the presentations in the workshop and give an excellent insight into state-of-the-art developments in this broad and growing ?eld of research. The editors warmly thank all the scientists, who have contributed by their outstanding papers to the quality of this edition. Special thanks go to Jaan Simon for his great help in putting together the manuscript to its ?nal shape.