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Fundamentals of Multibody Dynamics

Fundamentals of Multibody Dynamics
Author: Farid Amirouche
Publisher: Springer Science & Business Media
Total Pages: 692
Release: 2007-05-24
Genre: Technology & Engineering
ISBN: 0817644067

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This textbook – a result of the author’s many years of research and teaching – brings together diverse concepts of the versatile tool of multibody dynamics, combining the efforts of many researchers in the field of mechanics.


Dynamics of Multibody Systems

Dynamics of Multibody Systems
Author: Ahmed A. Shabana
Publisher: Cambridge University Press
Total Pages: 408
Release: 2013-09-02
Genre: Science
ISBN: 1107435889

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This enhanced fourth edition of Dynamics of Multibody Systems includes an additional chapter that provides explanations of some of the fundamental issues addressed in the book, as well as new detailed derivations of some important problems. Many common mechanisms such as automobiles, space structures, robots and micromachines have mechanical and structural systems that consist of interconnected rigid and deformable components. The dynamics of these large-scale multibody systems are highly nonlinear, presenting complex problems that in most cases can only be solved with computer-based techniques. The book begins with a review of the basic ideas of kinematics and the dynamics of rigid and deformable bodies before moving on to more advanced topics and computer implementation. The book's wealth of examples and practical applications will be useful to graduate students, researchers and practising engineers working on a wide variety of flexible multibody systems.


Dynamics of Multibody Systems

Dynamics of Multibody Systems
Author: Ahmed A. Shabana
Publisher: Cambridge University Press
Total Pages: 392
Release: 2005-06-30
Genre: Science
ISBN: 9781139446518

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Dynamics of Multibody Systems, 3rd Edition, first published in 2005, introduces multibody dynamics, with an emphasis on flexible body dynamics. Many common mechanisms such as automobiles, space structures, robots and micromachines have mechanical and structural systems that consist of interconnected rigid and deformable components. The dynamics of these large-scale, multibody systems are highly nonlinear, presenting complex problems that in most cases can only be solved with computer-based techniques. The book begins with a review of the basic ideas of kinematics and the dynamics of rigid and deformable bodies before moving on to more advanced topics and computer implementation. This revised third edition now includes important developments relating to the problem of large deformations and numerical algorithms as applied to flexible multibody systems. The book's wealth of examples and practical applications will be useful to graduate students, researchers, and practising engineers working on a wide variety of flexible multibody systems.


Dynamics of Multibody Systems

Dynamics of Multibody Systems
Author: Jens Wittenburg
Publisher: Springer Science & Business Media
Total Pages: 232
Release: 2007-10-20
Genre: Technology & Engineering
ISBN: 3540739149

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Thank heavens for Jens Wittenburg, of the University of Karlsruhe in Germany. Anyone who’s been laboring for years over equation after equation will want to give him a great big hug. It is common practice to develop equations for each system separately and to consider the labor necessary for deriving all of these as inevitable. Not so, says the author. Here, he takes it upon himself to describe in detail a formalism which substantially simplifies these tasks.


Multibody Systems Approach to Vehicle Dynamics

Multibody Systems Approach to Vehicle Dynamics
Author: Michael Blundell
Publisher: Elsevier
Total Pages: 542
Release: 2004
Genre: Control theory
ISBN: 0750651121

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Comprehensive, up-to-date and firmly rooted in practical experience, a key publication for all automotive engineers, dynamicists and students.


Robot and Multibody Dynamics

Robot and Multibody Dynamics
Author: Abhinandan Jain
Publisher: Springer Science & Business Media
Total Pages: 512
Release: 2010-12-17
Genre: Technology & Engineering
ISBN: 1441972676

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Robot and Multibody Dynamics: Analysis and Algorithms provides a comprehensive and detailed exposition of a new mathematical approach, referred to as the Spatial Operator Algebra (SOA), for studying the dynamics of articulated multibody systems. The approach is useful in a wide range of applications including robotics, aerospace systems, articulated mechanisms, bio-mechanics and molecular dynamics simulation. The book also: treats algorithms for simulation, including an analysis of complexity of the algorithms, describes one universal, robust, and analytically sound approach to formulating the equations that govern the motion of complex multi-body systems, covers a range of more advanced topics including under-actuated systems, flexible systems, linearization, diagonalized dynamics and space manipulators. Robot and Multibody Dynamics: Analysis and Algorithms will be a valuable resource for researchers and engineers looking for new mathematical approaches to finding engineering solutions in robotics and dynamics.


Flexible Multibody Dynamics

Flexible Multibody Dynamics
Author: O. A. Bauchau
Publisher: Springer Science & Business Media
Total Pages: 730
Release: 2010-10-23
Genre: Technology & Engineering
ISBN: 940070335X

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The author developed this text over many years, teaching graduate courses in advanced dynamics and flexible multibody dynamics at the Daniel Guggenheim School of Aerospace Engineering of the Georgia Institute of Technology. The book presents a unified treatment of rigid body dynamics, analytical dynamics, constrained dynamics, and flexible multibody dynamics. A comprehensive review of numerical tools used to enforce both holonomic and nonholonomic constraints is presented. Advanced topics such as Maggi’s, index-1, null space, and Udwadia and Kalaba’s formulations are presented because of their fundamental importance in multibody dynamics. Methodologies for the parameterization of rotation and motion are discussed and contrasted. Geometrically exact beams and shells formulations, which have become the standard in flexible multibody dynamics, are presented and numerical aspects of their finite element implementation detailed. Methodologies for the direct solution of the index-3 differential-algebraic equations characteristic of constrained multibody systems are presented. It is shown that with the help of proper scaling procedures, such equations are not more difficult to integrate than ordinary differential equations. This book is illustrated with numerous examples and should prove valuable to both students and researchers in the fields of rigid and flexible multibody dynamics.


Advanced Multibody System Dynamics

Advanced Multibody System Dynamics
Author: Werner Schiehlen
Publisher: Springer Science & Business Media
Total Pages: 491
Release: 2013-04-17
Genre: Science
ISBN: 9401706255

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The German Research Council (DFG) decided 1987 to establish a nationwide five year research project devoted to dynamics of multibody systems. In this project universities and research centers cooperated with the goal to develop a general pur pose multibody system software package. This concept provides the opportunity to use a modular structure of the software, i.e. different multibody formalisms may be combined with different simulation programmes via standardized interfaces. For the DFG project the database RSYST was chosen using standard FORTRAN 77 and an object oriented multibody system datamodel was defined. The project included • research on the fundamentals of the method of multibody systems, • concepts for new formalisms of dynamical analysis, • development of efficient numerical algorithms and • realization of a powerful software package of multibody systems. These goals required an interdisciplinary cooperation between mathematics, compu ter science, mechanics, and control theory. ix X After a rigorous reviewing process the following research institutions participated in the project (under the responsibility of leading scientists): Technical University of Aachen (Prof. G. Sedlacek) Technical University of Darmstadt (Prof. P. Hagedorn) University of Duisburg M. Hiller) (Prof.


Contact Force Models for Multibody Dynamics

Contact Force Models for Multibody Dynamics
Author: Paulo Flores
Publisher: Springer
Total Pages: 171
Release: 2016-03-15
Genre: Technology & Engineering
ISBN: 3319308971

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This book analyzes several compliant contact force models within the context of multibody dynamics, while also revisiting the main issues associated with fundamental contact mechanics. In particular, it presents various contact force models, from linear to nonlinear, from purely elastic to dissipative, and describes their parameters. Addressing the different numerical methods and algorithms for contact problems in multibody systems, the book describes the gross motion of multibody systems by using a two-dimensional formulation based on the absolute coordinates and employs different contact models to represent contact-impact events. Results for selected planar multibody mechanical systems are presented and utilized to discuss the main assumptions and procedures adopted throughout this work. The material provided here indicates that the prediction of the dynamic behavior of mechanical systems involving contact-impact strongly depends on the choice of contact force model. In short, the book provides a comprehensive resource for the multibody dynamics community and beyond on modeling contact forces and the dynamics of mechanical systems undergoing contact-impact events.


Multibody Dynamics with Unilateral Contacts

Multibody Dynamics with Unilateral Contacts
Author: Friedrich Pfeiffer
Publisher: Springer Science & Business Media
Total Pages: 274
Release: 2000-11-10
Genre: Computers
ISBN: 9783211833308

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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.