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Dynamics of multibody systems is of great importance in the fields of robotics, biomechanics, spacecraft control, road and rail vehicle design, and dynamics of machinery. Many research problems have been solved and a considerable number of computer codes based on multibody formalisms is now available. With the present book it is intended to collect software systems for multibody system dynamics which are well established and have found acceptance in the users community. The Handbook will aid the reader in selecting the software system which is most appropriate to his needs. Altogether 17 research groups contributed to the Handbook. A compact summary of important capabilities of these software systems is presented in tabular form. All authors dealt with two typical test examples, a planar mechanism and a spatial robot. Thus, it is very easy to compare the results and to identify more clearly the advantages of one or the other formalism.
Flexible Multibody Dynamics comprehensively describes the numerical modelling of flexible multibody dynamics systems in space and aircraft structures, vehicles, and mechanical systems. A rigorous approach is followed to handle finite rotations in 3D, with a thorough discussion of the different alternatives for parametrization. Modelling of flexible bodies is treated following the Finite Element technique, a novel aspect in multibody systems simulation. Moreover, this book provides extensive coverage of the formulation of a general purpose software for flexible multibody dynamics analysis, based on an exhaustive treatment of large rotations and finite element modelling, and incorporating useful reference material. Features include different solution techniques such as: * time integration of differential-algebraic equations * non-linear substructuring * continuation methods * nonlinear bifurcation analysis. In essence, this is an ideal text for senior undergraduates, postgraduates and professionals in mechanical and aeronautical engineering, as well as mechanical design engineers and researchers, and engineers working in areas such as kinematics and dynamics of deployable structures, vehicle dynamics and mechanical design.
This is the first part of a series of books whose aim is to collect contributed papers describing the work of famous persons in MMS (Mechanism and Machine Science). The current work treats mainly technical developments in the historical evolution of the fields that today are grouped in MMS. The emphasis is on biographical notes describing the efforts and experiences of people who have contributed to technical achievements.
This monograph presents an introduction into basic mechanical aspects of mechatronic systems for students, researchers and engineers from industrial practice. An overview over the theoretical background of rigid body mechanics is given as well as a systematic approach for deriving and solving model equations of general rigid body mechanisms in the form of differential-algebraic equations (DAE). The objective of this book is to prepare the reader for being capable of efficiently handling and applying general purpose rigid body programs to complex mechanisms. The reader will be able to set up symbolic mathematical models of planar and spatial mechanisms in DAE-form for computer simulations, often required in dynamic analysis and in control design.
Provides background information, historical perspective, and expert commentary on the ASME B31.3 Code requirements for process piping design and construction. It provides the most complete coverage of the Code that is available today and is packed with additional information useful to those responsible for the design and mechanical integrity of process piping.
With a rigorous and comprehensive coverage, the second edition of Compliant Mechanisms: Design of Flexure Hinges provides practical answers to the design and analysis of devices that incorporate flexible hinges. Complex-shaped flexible-hinge mechanisms are generated from basic elastic segments by means of a bottom-up compliance (flexibility) approach. The same compliance method and the classical finite element analysis are utilized to study the quasi-static and dynamic performances of these compliant mechanisms. This book offers easy-to-use mathematical tools to investigate a wealth of flexible-hinge configurations and two- or three-dimensional compliant mechanism applications. FEATURES Introduces a bottom-up compliance-based approach to characterize the flexibility of new and existing flexible hinges of straight- and curvilinear-axis configurations Develops a consistent linear lumped-parameter compliance model to thoroughly describe the quasi-static and dynamic behavior of planar/spatial, serial/parallel flexible-hinge mechanisms Utilizes the finite element method to analyze the quasi-statics and dynamics of compliant mechanisms by means of straight- and curvilinear-axis flexible-hinge elements Covers miscellaneous topics such as stress concentration, yielding and related maximum load, precision of rotation of straight- and circular-axis flexible hinges, temperature effects on compliances, layered flexible hinges and piezoelectric actuation/sensing Offers multiple solved examples of flexible hinges and flexible-hinge mechanisms. This book should serve as a reference to students, researchers, academics and anyone interested to investigate precision flexible-hinge mechanisms by linear model-based methods in various areas of mechanical, aerospace or biomedical engineering, as well as in robotics and micro-/nanosystems.
This book starts with a short recapitulation on basic concepts, common to any types of robots (serial, tree structure, parallel, etc.), that are also necessary for computation of the dynamic models of parallel robots. Then, as dynamics requires the use of geometry and kinematics, the general equations of geometric and kinematic models of parallel robots are given. After, it is explained that parallel robot dynamic models can be obtained by decomposing the real robot into two virtual systems: a tree-structure robot (equivalent to the robot legs for which all joints would be actuated) plus a free body corresponding to the platform. Thus, the dynamics of rigid tree-structure robots is analyzed and algorithms to obtain their dynamic models in the most compact form are given. The dynamic model of the real rigid parallel robot is obtained by closing the loops through the use of the Lagrange multipliers. The problem of the dynamic model degeneracy near singularities is treated and optimal trajectory planning for crossing singularities is proposed. Lastly, the approach is extended to flexible parallel robots and the algorithms for computing their symbolic model in the most compact form are given. All theoretical developments are validated through experiments.
Large-scale mechanical systems such as automobiles consist of interconnected rigid and deformable components. These multibody systems present complex problems. This introduction to multibody dynamics emphasises flexible body dynamics. It discusses basic kinematics and dynamics, modeling, and newer computational techniques.