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| Author | : Michael John Sadowski |
| Publisher | : |
| Total Pages | : 130 |
| Release | : 2005 |
| Genre | : |
| ISBN | : 9780542252556 |
| Author | : Friedrich Pfeiffer |
| Publisher | : John Wiley & Sons |
| Total Pages | : 329 |
| Release | : 2008-09-26 |
| Genre | : Technology & Engineering |
| ISBN | : 3527618392 |
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.
| Author | : Werner Schiehlen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 491 |
| Release | : 2013-04-17 |
| Genre | : Science |
| ISBN | : 9401706255 |
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.
| Author | : Arun K. Banerjee |
| Publisher | : John Wiley & Sons |
| Total Pages | : 312 |
| Release | : 2016-03-23 |
| Genre | : Technology & Engineering |
| ISBN | : 1119015618 |
Arun K. Banerjee is one of the foremost experts in the world on the subject of flexible multibody dynamics. This book describes how to build mathermatical models of multibody systems with elastic components. Examples of such systems include the human body itself, construction cranes, cares with trailers, helicopers, spacecraft deploying antennas, tethered satellites, and underwater maneuvering vehicles. This book provides methods of analysis of complex mechanical systems that can be simulated in less computer time than other methods. It equips the reader with knowledge of algorithms that provide accurate results in reduced simulation time.
| Author | : Albert Peiret Gimenez |
| Publisher | : |
| Total Pages | : |
| Release | : 2019 |
| Genre | : |
| ISBN | : |
"Models based on bodies that interact with each other are also known as multibody systems. Such models are proven to be very useful for representing the motion of many different kinds of systems, from industrial machinery to the human body. In many cases, rigid bodies can be employed if their deformation is negligible compared to their displacement, which significantly reduces the complexity of the model. Moreover, numerical simulations of multibody systems can be very efficient, and be used for real-time interactive applications in engineering and computer animation. The focus of this thesis is on the modelling and simulation of multibody systems, with especial emphasis to unilateral contact and friction between the bodies. The inherent non-smooth nature of contact is approached using the concept of unilateral constraints, which leads the system dynamics to formulate linear complementarity problems. However, these formulations can present inconsistencies when Coulomb friction is used to model contact, which can compromise the solvability of the dynamic equations and the numerical simulation as well. Here, the contact problem is analyzed using a novel representation of the generalized friction cone that is able to capture different phenomena, such as the Painlevé paradox. The framework of this work largely relies on formulations at the impulse-momentum level of multibody system dynamics. Implicit integration schemes make the numerical simulation of such systems stable, as well as robust. Additionally, constraint regularization also helps the model to cope with redundancy of the contact forces. A new regularized friction model based on the bristle approach is presented, which models the flexibility of the system at the contact interface, and is able to capture the static behavior of friction, or sticking. Moreover, other techniques that facilitate the simulation of large scale systems are also proposed herein. Substructuring of multibody systems groups the bodies into subsystems, which allows the system dynamics to be solved in different processing units (CPUs), and reduces the computational time by performing the operations in parallel. This is achieved by means of formulating the effective mass of the system at the coupling interfaces, which can also be used to couple the simulation to other systems of different nature and time-scale, such as hydraulic systems. Interestingly, co-simulation of such multi-physics systems is currently in the spotlight of many engineering applications ranging from virtual prototyping to simulation with hardware in the loop"--
| Author | : Krzysztof Arczewski |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 330 |
| Release | : 2010-11-08 |
| Genre | : Technology & Engineering |
| ISBN | : 9048199719 |
The ECCOMAS Thematic Conference “Multibody Dynamics 2009” was held in Warsaw, representing the fourth edition of a series which began in Lisbon (2003), and was then continued in Madrid (2005) and Milan (2007), held under the auspices of the European Community on Computational Methods in Applied Sciences (ECCOMAS). The conference provided a forum for exchanging ideas and results of several topics related to computational methods and applications in multibody dynamics, through the participation of 219 scientists from 27 countries, mostly from Europe but also from America and Asia. This book contains the revised and extended versions of invited conference papers, reporting on the state-of-the-art in the advances of computational multibody models, from the theoretical developments to practical engineering applications. By providing a helpful overview of the most active areas and the recent efforts of many prominent research groups in the field of multibody dynamics, this book can be highly valuable for both experienced researches who want to keep updated with the latest developments in this field and researches approaching the field for the first time.
| Author | : Jielong Wang |
| Publisher | : Springer Nature |
| Total Pages | : 367 |
| Release | : 2023-03-24 |
| Genre | : Technology & Engineering |
| ISBN | : 9811984417 |
This book presents a novel theory of multibody dynamics with distinct features, including unified continuum theory, multiscale modeling technology of multibody system, and motion formalism implementation. All these features together with the introductions of fundamental concepts of vector, dual vector, tensor, dual tensor, recursive descriptions of joints, and the higher-order implicit solvers formulate the scope of the book’s content. In this book, a multibody system is defined as a set consisted of flexible and rigid bodies which are connected by any kinds of joints or constraints to achieve the desired motion. Generally, the motion of multibody system includes the translation and rotation; it is more efficient to describe the motion by using the dual vector or dual tensor directly instead of defining two types of variables, the translation and rotation separately. Furthermore, this book addresses the detail of motion formalism and its finite element implementation of the solid, shell-like, and beam-like structures. It also introduces the fundamental concepts of mechanics, such as the definition of vector, dual vector, tensor, and dual tensor, briefly. Without following the Einstein summation convention, the first- and second-order tensor operations in this book are depicted by linear algebraic operation symbols of row array, column array, and two-dimensional matrix, making these operations easier to understand. In addition, for the integral of governing equations of motion, a set of ordinary differential equations for the finite element-based discrete system, the book discussed the implementation of implicit solvers in detail and introduced the well-developed RADAU IIA algorithms based on post-error estimation to make the contents of the book complete. The intended readers of this book are senior engineers and graduate students in related engineering fields.
| Author | : Himanshu Chaudhary |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 176 |
| Release | : 2008-09-27 |
| Genre | : Technology & Engineering |
| ISBN | : 354078179X |
This book has evolved from the passionate desire of the authors in using the modern concepts of multibody dynamics for the design improvement of the machineries used in the rural sectors of India and The World. In this connection, the first author took up his doctoral research in 2003 whose findings have resulted in this book. It is expected that such developments will lead to a new research direction MuDRA, an acronym given by the authors to “Multibody Dynamics for Rural Applications. ” The way Mu- DRA is pronounced it means ‘money’ in many Indian languages. It is hoped that practicing MuDRA will save or generate money for the rural people either by saving energy consumption of their machines or making their products cheaper to manufacture, hence, generating more money for their livelihood. In this book, the initial focus was to improve the dynamic behavior of carpet scrapping machines used to wash newly woven hand-knotted c- pets of India. However, the concepts and methodologies presented in the book are equally applicable to non-rural machineries, be they robots or - tomobiles or something else. The dynamic modeling used in this book to compute the inertia-induced and constraint forces for the carpet scrapping machine is based on the concept of the decoupled natural orthogonal c- plement (DeNOC) matrices. The concept is originally proposed by the second author for the dynamics modeling and simulation of serial and - rallel-type multibody systems, e. g.
| Author | : Claus Führer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 287 |
| Release | : 2013-11-11 |
| Genre | : Technology & Engineering |
| ISBN | : 3663098281 |
The important interaction between modeling and solution techniques is demonstrated by using a simplified multibody model of a truck thoughout the book to illustrate all key concepts.
| Author | : Xiaoting Rui |
| Publisher | : John Wiley & Sons |
| Total Pages | : 762 |
| Release | : 2018-11-29 |
| Genre | : Mathematics |
| ISBN | : 1118724801 |
TRANSFER MATRIX METHOD FOR MULTIBODY SYSTEMS: THEORY AND APPLICATIONS Xiaoting Rui, Guoping Wang and Jianshu Zhang - Nanjing University of Science and Technology, China Featuring a new method of multibody system dynamics, this book introduces the transfer matrix method systematically for the first time. First developed by the lead author and his research team, this method has found numerous engineering and technological applications. Readers are first introduced to fundamental concepts like the body dynamics equation, augmented operator and augmented eigenvector before going in depth into precision analysis and computations of eigenvalue problems as well as dynamic responses. The book also covers a combination of mixed methods and practical applications in multiple rocket launch systems, self-propelled artillery as well as launch dynamics of on-ship weaponry. • Comprehensively introduces a new method of analyzing multibody dynamics for engineers • Provides a logical development of the transfer matrix method as applied to the dynamics of multibody systems that consist of interconnected bodies • Features varied applications in weaponry, aeronautics, astronautics, vehicles and robotics Written by an internationally renowned author and research team with many years' experience in multibody systems Transfer Matrix Method of Multibody System and Its Applications is an advanced level text for researchers and engineers in mechanical system dynamics. It is a comprehensive reference for advanced students and researchers in the related fields of aerospace, vehicle, robotics and weaponry engineering.
