Unilateral Contact Problems

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Multibody Dynamics with Unilateral Contacts

Author : Friedrich Pfeiffer,Christoph Glocker
Publisher : John Wiley & Sons
Page : 329 pages
File Size : 46,6 Mb
Release : 2008-09-26
Category : Technology & Engineering
ISBN : 9783527618392

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Multibody Dynamics with Unilateral Contacts by Friedrich Pfeiffer,Christoph Glocker Pdf

As mechanical systems become more complex so do the mathematical models and simulations used to describe the interactions of their parts. One area of multibody theory that has received a great deal of attention in recent years is the dynamics of multiple contact situations occurring in continuous joints and couplings. Despite the rapid gains in our understanding of what occurs when continuous joints and couplings interact, until now there were no books devoted exclusively to this intriguing phenomenon. Focusing on the concerns of practicing engineers, Multibody Dynamics with Unilateral Contacts presents all theoretical and applied aspects of this subject relevant to a practical understanding of multiple unilateral contact situations in multibody mechanical systems. In Part 1, Professor Pfeiffer and Dr. Glocker provide an exhaustive review of the laws and principles governing the dynamics of unilateral contacts in multibody mechanical and technical systems. Among the topics covered are multibody and contact kinematics, the dynamics of rigid body systems, multiple contact configurations, detachment and stick-slip transitions, frictionless impacts, impacts with friction, and the Corner law of contact dynamics. In Part 2, the authors present numerous applications of the theories presented in Part 1. Each chapter in this part is devoted to a different law, theory, or model, such as discontinuous force laws, classical impact theory, Coulomb's friction law, and mechanical and mathematical models of impacts and friction. In addition, each chapter features several practical examples that allow engineers to observe the concepts described in action. Examples are drawn from a broad array of fields and range from hammering in gears as occurring in a synchronous generator to impacts and friction as observed in a child's woodpecker toy, from a demonstration of classical impact theory using an automobile gear box example, to Coulomb's friction law as applied to a turbine blade damper. Multibody Dynamics with Unilateral Contacts is an indispensable resource for mechanical engineers working on all types of multibody systems and the friction and vibration problems that can occur in them. It is also a valuable reference for researchers studying nonlinear dynamics. The only book devoted entirely to the theory and applications of onE of the most crucial aspects of multibody system design. This is the first book to focus exclusively on the theory and applications of multiple contact situations occurring in continuous joints and couplings in multibody systems. As such, it is a valuable resource for engineers working on mechanical systems with interrelated multiple parts. Multibody Dynamics with Unilateral Contacts * Provides a comprehensive examination of the laws and principles governing the dynamics of unilateral contacts in multibody mechanical and technical systems. * Presents the latest mathematical models and simulation techniques for describing the interactions of joints and couplings in multibody systems. * Describes practical applications for all the concepts covered. * Includes numerous examples drawn from a wide range of fascinating and enlightening real-world demonstrations, including everything from an airplane's landing gear to a child's toy.

The Boundary Integral Approach to Static and Dynamic Contact Problems

Author : H. Antes,P.D. Panagiotopoulos
Publisher : Birkhäuser
Page : 313 pages
File Size : 50,7 Mb
Release : 2013-03-07
Category : Science
ISBN : 9783034886505

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The Boundary Integral Approach to Static and Dynamic Contact Problems by H. Antes,P.D. Panagiotopoulos Pdf

The fields of boundary integral equations and of inequality problems, or more gen erally, of nonsmooth mechanics, have seen, in a remarkably short time, a considerable development in mathematics and in theoretical and applied mechanics. The engineering sciences have also benefited from these developments in that open problems have been attacked succesfully and entirely new methodologies have been developed. The contact problems of elasticity is a class of problems which has offered many open questions to deal with, both to the research workers working on the theory of boundary integral equations and to those working on the theory of inequality problems. Indeed, the area of static and dynamic contact problems could be considered as the testing workbench of the new developments in both the inequality problems and in the boundary integral equations. This book is a first attempt to formulate and study the boundary integral equations arising in inequality contact problems. The present book is a result of more than two decades of research and teaching activity of the first author on boundary integral equations and, of the second author, on inequality problems, as well as the outgrowth of seminars and courses for a variety of audiences in the Technical University of Aachen, the Aristotle University of Thessa loniki, the Universities of Bochum, of Hamburg and Braunschweig, the Pontificia Univ. Catolica in Rio de Janeiro etc.

Unilateral Contact Problems

Author : Christof Eck,Jiri Jarusek,Miroslav Krbec
Publisher : CRC Press
Page : 398 pages
File Size : 48,8 Mb
Release : 2005-03-17
Category : Mathematics
ISBN : 9781420027365

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Unilateral Contact Problems by Christof Eck,Jiri Jarusek,Miroslav Krbec Pdf

The mathematical analysis of contact problems, with or without friction, is an area where progress depends heavily on the integration of pure and applied mathematics. This book presents the state of the art in the mathematical analysis of unilateral contact problems with friction, along with a major part of the analysis of dynamic contact problems

Analysis and Simulation of Contact Problems

Author : Peter Wriggers,Udo Nackenhorst
Publisher : Springer Science & Business Media
Page : 393 pages
File Size : 50,8 Mb
Release : 2006-08-15
Category : Science
ISBN : 9783540317616

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Analysis and Simulation of Contact Problems by Peter Wriggers,Udo Nackenhorst Pdf

This carefully edited book offers a state-of-the-art overview on formulation, mathematical analysis and numerical solution procedures of contact problems. The contributions collected in this volume summarize the lectures presented by leading scientists in the area of contact mechanics, during the 4th Contact Mechanics International Symposium (CMIS) held in Hannover, Germany, 2005.

New Developments in Contact Problems

Author : Peter Wriggers,Panagiotis Panatiotopoulos
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 52,7 Mb
Release : 1999-11-22
Category : Science
ISBN : 3211831541

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New Developments in Contact Problems by Peter Wriggers,Panagiotis Panatiotopoulos Pdf

The book gives an overview on formulation, mathematical analysis and numerical solution procedures of contact problems. In this respect the book should be of value to applied mathematicians and engineers who are concerned with contact mechanics.

Unilateral Problems in Structural Analysis — 2

Author : G. Del Piero,F. Maceri
Publisher : Springer
Page : 314 pages
File Size : 48,6 Mb
Release : 2014-05-04
Category : Science
ISBN : 9783709129678

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Unilateral Problems in Structural Analysis — 2 by G. Del Piero,F. Maceri Pdf

The volume collects the contributions presented at the second meeting on Unilateral Problems, organized by CISM and held near Udine in June 1985. It gives an updated account of the state-of-the-art in the field of unilateral problems, with an outlook on open problems and on perspectives of application to structural analysis. The topic is presently the object of growing interest and is undergoing very rapid development. One of the most noticeable characteristics of unilateral problems is their interdisciplinary nature; they involve sophisticated mathematics, fundamental questions in mechanics, modern techniques in numerical analysis, re-inspection of the present knowledge of physical phenomena, and engineering applications. This volume succeeds in collecting and coordinating contributions from all these areas. For this reason, it is an excellent source of information for researchers working in the field.

Numerics of Unilateral Contacts and Friction

Author : Christian Studer
Publisher : Springer Science & Business Media
Page : 182 pages
File Size : 44,8 Mb
Release : 2009-05-06
Category : Technology & Engineering
ISBN : 9783642011009

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Numerics of Unilateral Contacts and Friction by Christian Studer Pdf

Mechanics provides the link between mathematics and practical engineering app- cations. It is one of the oldest sciences, and many famous scientists have left and will leave their mark in this fascinating ?eld of research. Perhaps one of the most prominentscientists in mechanics was Sir Isaac Newton, who with his “laws of - tion” initiated the description of mechanical systems by differential equations. And still today, more than 300 years after Newton, this mathematical concept is more actual than ever. The rising computer power and the development of numerical solvers for diff- ential equations allowed engineersall over the world to predict the behavior of their physical systems fast and easy in an numerical way. And the trend to computational simulation methods is still further increasing, not only in mechanics, but practically in all branches of science. Numerical simulation will probablynot solve the world’s engineering problems, but it will help for a better understanding of the mechanisms of our models.

Mastering Calculations in Linear and Nonlinear Mechanics

Author : Pierre Ladevèze,Jean Pierre Pelle
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 53,8 Mb
Release : 2004-12-16
Category : Technology & Engineering
ISBN : 0387212949

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Mastering Calculations in Linear and Nonlinear Mechanics by Pierre Ladevèze,Jean Pierre Pelle Pdf

This book deals with the management of calculations in linear and nonlinear mechanics. Particular attention is given to error estimators and indicators for structural analysis. The accent is on the concept of error in constitutive relation. An important part of the work is also devoted to the utilization of the error estimators involved in a calculation, beginning with the parameters related to the mesh. Many of the topics are taken from the most recent research by the authors: local error estimators, extention of the concept of error in constitutive relation to nonlinear evolution problems and dynamic problems, adaptive improvement of calculations in nonlinear mechanics. This work is intended for all those interested in mechanics: students, researchers and engineers concerned with the construction of models as well as their simulation for industrial purposes.

Recent Advances in Contact Mechanics

Author : Georgios E. Stavroulakis
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 53,9 Mb
Release : 2012-10-19
Category : Technology & Engineering
ISBN : 9783642339677

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Recent Advances in Contact Mechanics by Georgios E. Stavroulakis Pdf

Contact mechanics is an active research area with deep theoretical and numerical roots. The links between nonsmooth analysis and optimization with mechanics have been investigated intensively during the last decades, especially in Europe. The study of complementarity problems, variational -, quasivariational- and hemivariational inequalities arising in contact mechanics and beyond is a hot topic for interdisciplinary research and cooperation. The needs of industry for robust solution algorithms suitable for large scale applications and the regular updates of the respective elements in major commercial computational mechanics codes, demonstrate that this interaction is not restricted to the academic environment. The contributions of this book have been selected from the participants of the CMIS 2009 international conference which took place in Crete and continued a successful series of specialized contact mechanics conferences.

Contact Mechanics

Author : J.A.C. Martins,Manuel D.P. Monteiro Marques
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 44,7 Mb
Release : 2013-06-29
Category : Technology & Engineering
ISBN : 9789401711548

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Contact Mechanics by J.A.C. Martins,Manuel D.P. Monteiro Marques Pdf

This volume contains 44 papers presented at the Third Contact Mechanics International Symposium (CMIS 2001) held in Praia da Consola9ao, Peniche (portugal), June 17-21,2001. This Symposium was the direct continuation of the first two CMIS held in Lausanne (1992) and in Carry-Le-Rouet (1994). Other related meetings, in what concerns scientific topics and participants, took place in the nineties at La Grande Motte (1990), Vadstena (1996), Ferrara (1997), Munich (1998) and Grenoble (1999). The Symposium aimed at gathering researchers with interests in a wide range of topics in theoretical, computational and experimental contact mechanics. The call for papers mentioned topics in tribology, mathematical formulations and analysis, numerical methods in non-smooth mechanics, impact problems, instabilities and technological problems. The total number of participants was 102, from Universities and Research Institutes of 19 countries. The Scientific Committee reviewed 102 submitted abstracts, and the final program consisted of 6 main lectures, 43 oral communications and 36 poster presentations (see Appendix A). The papers in this book correspond to almost all the main lectures and oral communications, and they are assembled in 5 chapters: • Dynamics and Impact • Instabilities, Oscillations and Waves • Contact Models, Results and Applications • Mathematical Analysis • Numerical Methods. We thank all the authors for their valuable contributions to this volume. We are indebted to the members of the Scientific Committee for their help in refereeing the submitted abstracts and manuscripts. We also thank the Series editor, Prof. Graham Gladwell, for his assistance in the revision process.

Friction and Instabilities

Author : J.A.C. Martinis,M. Raous
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 41,6 Mb
Release : 2002-11-11
Category : Science
ISBN : 3211836950

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Friction and Instabilities by J.A.C. Martinis,M. Raous Pdf

The book addresses instability and bifurcation phenomena in frictional contact problems. The treatment of this subject has its roots in previous studies of instability and bifurcation in elastic, thermoelastic or elastic-plastic bodies, and in previous mathematical, mechanical and computational studies of unilateral problems. The salient feature of this book is to put together and develop concepts and tools for stability and bifurcation studies in mechanics, taking into account the inherent non-smoothness and non-associativity (non-symmetry) of unilateral frictional contact laws. The mechanical foundations, the mathematical theory and the computational algorithms for such studies are developed along six chapters written by the lecturers of a CISM course. Those concepts and tools are illustrated not only with enlightening academic examples but also with some demanding industrial applications, related, namely, to the automotive industry.

Multibody Dynamics with Unilateral Contacts

Author : Friedrich Pfeiffer,Christoph Glocker
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 50,9 Mb
Release : 2000-11-10
Category : Computers
ISBN : 3211833307

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Multibody Dynamics with Unilateral Contacts by Friedrich Pfeiffer,Christoph Glocker Pdf

The volume introduces basic concepts necessary for a modern treatment of inequality problems in finite degree of freedom dynamics. Tools from convex analysis, by now well established in non-smooth mechanics, are used to formulate the constitutive equations and impact laws. The lectures cover a broad area of non-smooth dynamics from primal and dual energy functions in variational and differential form to application problems as chimney dampers or vibration conveyors. This includes frictional oscillations with bifurcation scenarios as well as analogies to small displacement quasi-static problems. The course is on an advanced level, designed primarily for postgraduate students, but should also be of value for scientists working on dynamic complementarity problems.

Nonlinear Solid Mechanics

Author : Adnan Ibrahimbegovic
Publisher : Springer Science & Business Media
Page : 588 pages
File Size : 54,7 Mb
Release : 2009-06-02
Category : Computers
ISBN : 9789048123308

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Nonlinear Solid Mechanics by Adnan Ibrahimbegovic Pdf

This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.

Boundary Element Advances in Solid Mechanics

Author : Dimitri Beskos,Giulio Maier
Publisher : Springer
Page : 311 pages
File Size : 40,7 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709127902

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Boundary Element Advances in Solid Mechanics by Dimitri Beskos,Giulio Maier Pdf

This volume presents and discusses recent advances in boundary element methods and their solid mechanics applications. It illustrates these methods in their latest forms, developed during the last five to ten years, and demonstrates their advantages in solving a wide range of solid mechanics problems.

IUTAM Symposium on Unilateral Multibody Contacts

Author : F. Pfeiffer,Ch. Glocker
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401142755

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IUTAM Symposium on Unilateral Multibody Contacts by F. Pfeiffer,Ch. Glocker Pdf

Multibody dynamics started with the ideas of Jacob and Daniel Bernoul li and later on with d'Alembert's principle. In establishing a solution for the problem of the center of oscillation for a two-mass-pendulum Jacob Ber noulli spoke about balancing the profit-and-Ioss account with respect to the motion of the two masses. Daniel Bernoulli extended these ideas to a chain pendulum and called forces not contributing to the motion "lost forces", thus being already very close to d'Alembert's principle. D'Alembert considered a "system of bodies, which are interconnected in some arbitrary way. " He suggested separating the motion into two parts, one moving, the other being at rest. In modern terms, or at least in terms being applied in engineering mechanics, this means that the forces acting on a system of bodies are split into active and passive forces. Active forces generate motion, passive forces do not; they are a result of constraints. This interpretation of d'Alembert's principle is due to Lagrange and up to now has been the basis of multi body dynamics (D' Alembert, Traite de Dynamique, 1743; Lagrange, Mecanique Analytique, 1811). Thus, multibody dynamics started in France. During the nineteenth century there were few activities in the multi body field even though industry offered plenty of possible applications and famous re presentatives of mechanics were aware of the problems related to multibody dynamics. Poisson in his "Traite de Mecanique" (Paris 1833) gave an im pressive description of these problems, including impacts and friction.