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Author: Dominique Paul Chevallier
Publisher: Elsevier
ISBN: 008102357X
Category : Technology & Engineering
Languages : en
Pages : 336
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Book Description
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
Author: Dominique Paul Chevallier
Publisher: Elsevier
ISBN: 008102357X
Category : Technology & Engineering
Languages : en
Pages : 336
Get Book Here
Book Description
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
Author: Abhinandan Jain
Publisher: Springer Science & Business Media
ISBN: 1441972676
Category : Technology & Engineering
Languages : en
Pages : 512
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Book Description
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.
Author: Paramanand Vivekanand Nandihal
Publisher: Springer Nature
ISBN: 9811627983
Category : Technology & Engineering
Languages : en
Pages : 288
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Book Description
This book discusses the dynamic analysis of rigid-flexible robots and multibody systems with serial as well as closed-loop architecture. The book presents a formulation of dynamic model of rigid-flexible robots based on the unique approach of de-coupling of natural orthogonal complements of velocity constraints. Based on this formulation, a computationally efficient and numerically stable forward dynamics algorithms for serial-chain and closed-loop robotic systems with rigid or flexible or rigid-flexible links is presented. The proposed algorithm is shown to be a numerically efficient for forward dynamics based on the investigation methodologies built on eigen value analytics. Precision and functionality of the simulation algorithms is presented/illustrated with application on different serial and closed-loop systems (both planar and spatial types). Some of the major robotic arms used to illustrate the proposed dynamic formulation and simulation algorithms are PUMA robot, Stanford robot arm, and Canadarm. It is envisaged that the book will be useful for researchers working on the development of rigid-flexible robots for use in defense, space, atomic energy, ocean exploration, and the manufacturing of biomedical equipment.
Author: Shivesh Kumar
Publisher: Elsevier
ISBN: 0323884830
Category : Technology & Engineering
Languages : en
Pages : 514
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Book Description
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
Author: Zdravko Terze
Publisher: Springer
ISBN: 3319072609
Category : Technology & Engineering
Languages : en
Pages : 369
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Book Description
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.
Author: Andrés Kecskeméthy
Publisher: Springer
ISBN: 3030164233
Category : Technology & Engineering
Languages : en
Pages : 270
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Book Description
This is the proceedings of the Third Conference on Interdisciplinary Applications of Kinematics (IAK 2018) held in Lima, Peru, March 5–7, 2018. The conference brought together scientists from several research fields, such as computational kinematics, multibody systems, industrial machines, robotics, biomechanics, mechatronics, computational chemistry, and vibration analysis, and embraced all key aspects of kinematics, namely, theoretical methods, modeling, optimization, experimental validation, industrial applications, and design. Kinematics is an exciting area of computational mechanics and plays a central role in a great variety of fields and industrial applications nowadays. Apart from research in pure kinematics, the field deals with problems of practical relevance that need to be solved in an interdisciplinary manner in order for new technologies to develop. The results presented in this book should be of interest for practicing and research engineers as well as Ph.D. students from the fields of mechanical and electrical engineering, computer science, and computer graphics.
Author: Burkhard Corves
Publisher: Springer
ISBN: 3319980203
Category : Technology & Engineering
Languages : en
Pages : 426
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Book Description
This volume presents the latest academic research and industrial applications in the area of mechanisms, robotics and dynamics. Contributions cover such topics as biomedical applications, control issues of mechanical systems, dynamics of multi-body systems, experimental mechanics, haptic systems, history of mechanism science, industrial and non-industrial applications, linkages and cams, mechanical transmissions and gears, mechanics of robots and manipulators, theoretical kinematics. Resulting from the 7th European Conference on Mechanism Science, which was held at RWTH Aachen University on September 4-6, 2018, this works comprises an overview on current research activities across Europe. .
Author: Roy Featherstone
Publisher: Springer
ISBN: 1489975608
Category : Education
Languages : en
Pages : 276
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Book Description
Rigid Body Dynamics Algorithms presents the subject of computational rigid-body dynamics through the medium of spatial 6D vector notation. It explains how to model a rigid-body system and how to analyze it, and it presents the most comprehensive collection of the best rigid-body dynamics algorithms to be found in a single source. The use of spatial vector notation greatly reduces the volume of algebra which allows systems to be described using fewer equations and fewer quantities. It also allows problems to be solved in fewer steps, and solutions to be expressed more succinctly. In addition algorithms are explained simply and clearly, and are expressed in a compact form. The use of spatial vector notation facilitates the implementation of dynamics algorithms on a computer: shorter, simpler code that is easier to write, understand and debug, with no loss of efficiency.
Author: Taeyoung Lee
Publisher: Springer
ISBN: 3319569538
Category : Mathematics
Languages : en
Pages : 561
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Book Description
This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities. The material is presented in an approachable fashion by considering concrete configuration manifolds of increasing complexity, which then motivates and naturally leads to the more general formulation that follows. Understanding of the material is enhanced by numerous in-depth examples throughout the book, culminating in non-trivial applications involving multi-body systems. This book is written for a general audience of mathematicians, engineers, and physicists with a basic knowledge of mechanics. Some basic background in differential geometry is helpful, but not essential, as the relevant concepts are introduced in the book, thereby making the material accessible to a broad audience, and suitable for either self-study or as the basis for a graduate course in applied mathematics, engineering, or physics.
Author: Doina Pisla
Publisher: Springer Nature
ISBN: 3030550613
Category : Technology & Engineering
Languages : en
Pages : 536
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Book Description
This volume presents the latest research and industrial applications in the areas of mechanism science, robotics and dynamics. The respective contributions cover such topics as computational kinematics, control issues in mechanical systems, mechanisms for medical rehabilitation, mechanisms for minimally invasive techniques, cable robots, design issues for mechanisms and robots, and the teaching and history of mechanisms. Written by leading researchers and engineers, and selected by means of a rigorous international peer-review process, the papers highlight numerous exciting ideas that will spur novel research directions and foster multidisciplinary collaborations. They reflect the outcomes of the 8th European Conference on Mechanism Science (EuCoMeS) in 2020.
