Multi Body Kinematics And Dynamics With Lie Groups
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Multi-Body Kinematics and Dynamics with Lie Groups
Author: Dominique Paul Chevallier
language: en
Publisher: Elsevier
Release Date: 2017-11-22
Multi-body Kinematics and Dynamics with Lie Groups explores the use of Lie groups in the kinematics and dynamics of rigid body systems. The first chapter reveals the formal properties of Lie groups on the examples of rotation and Euclidean displacement groups. Chapters 2 and 3 show the specific algebraic properties of the displacement group, explaining why dual numbers play a role in kinematics (in the so-called screw theory). Chapters 4 to 7 make use of those mathematical tools to expound the kinematics of rigid body systems and in particular the kinematics of open and closed kinematical chains. A complete classification of their singularities demonstrates the efficiency of the method. Dynamics of multibody systems leads to very big computations. Chapter 8 shows how Lie groups make it possible to put them in the most compact possible form, useful for the design of software, and expands the example of tree-structured systems. This book is accessible to all interested readers as no previous knowledge of the general theory is required. - Presents a overview of the practical aspects of Lie groups based on the example of rotation groups and the Euclidean group - Makes it clear that the interface between Lie groups methods in mechanics and numerical calculations is very easy - Includes theoretical results that have appeared in scientific articles
Multibody Dynamics
By having its origin in analytical and continuum mechanics, as well as in computer science and applied mathematics, multibody dynamics provides a basis for analysis and virtual prototyping of innovative applications in many fields of contemporary engineering. With the utilization of computational models and algorithms that classically belonged to different fields of applied science, multibody dynamics delivers reliable simulation platforms for diverse highly-developed industrial products such as vehicle and railway systems, aeronautical and space vehicles, robotic manipulators, smart structures, biomechanical applications and nano-technologies. The chapters of this volume are based on the revised and extended versions of the selected scientific papers from amongst 255 original contributions that have been accepted to be presented within the program of the distinguished international ECCOMAS conference. It reflects state-of-the-art in the advances of multibody dynamics, providing excellent insight in the recent scientific developments in this prominent field of computational mechanics and contemporary engineering.
Biologically Inspired Series-Parallel Hybrid Robots
Biologically Inspired Series-Parallel Hybrid Robots: Design, Analysis and Control provides an extensive review of the state-of-the-art in series-parallel hybrid robots, covering all aspects of their mechatronic system design, modelling, and control. This book highlights the modular and distributed aspects of their mechanical, electronics, and software design, introducing various modern methods for modelling the kinematics and dynamics of complex robots. These methods are also introduced in the form of algorithms or pseudo-code which can be easily programmed with modern programming languages. Presenting case studies on various popular series-parallel hybrid robots which will inspire new robot developers, this book will be especially useful for academic and industrial researchers in this exciting field, as well as graduate-level students to bring them closer to the latest technology in mechanical design and control aspects of the area. - Introduces clear definitions for all relevant terms and the foundational theories - Provides in-depth kinematics of various parallel mechanisms typically used in the design of series-parallel hybrid robots - Presents holistic methods for solving kinematics, dynamics, trajectory generation, and control of series-parallel hybrid robots considering large number of holonomic constraints - Investigates case studies on the mechatronic system design of various series-parallel hybrid robots for practitioners in the field