𝔖 Scriptorium
✦   LIBER   ✦

πŸ“

Dynamics of Parallel Robots: From Rigid Bodies to Flexible Elements

✍ Scribed by Sébastien Briot, Wisama Khalil (auth.)


Publisher
Springer International Publishing
Year
2015
Tongue
English
Leaves
355
Series
Mechanisms and Machine Science 35
Edition
1
Category
Library

⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis


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.

✦ Table of Contents


Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Generalities on Parallel Robots....Pages 3-18
Homogeneous Transformation Matrix....Pages 19-32
Representation of Velocities and Forces/Acceleration of a Body....Pages 33-37
Kinematic Description of Multibody Systems....Pages 39-49
Geometric, Velocity and Acceleration Analysis of Open Kinematic Chains....Pages 51-59
Dynamics Principles....Pages 61-71
Front Matter....Pages 73-73
Kinematics of Parallel Robots....Pages 75-138
Dynamic Modeling of Parallel Robots....Pages 139-199
Analysis of the Degeneracy Conditions for the Dynamic Model of Parallel Robots....Pages 201-233
Front Matter....Pages 235-235
Elastodynamic Modeling of Parallel Robots....Pages 237-278
Computation of Natural Frequencies....Pages 279-297
Back Matter....Pages 299-350

✦ Subjects


Vibration, Dynamical Systems, Control; Control, Robotics, Mechatronics; Mechanical Engineering


πŸ“œ SIMILAR VOLUMES


Dynamics of Rigid-Flexible Robots and Mu
✍ Paramanand Vivekanand Nandihal, Ashish Mohan, Subir Kumar Saha πŸ“‚ Library πŸ“… 2021 πŸ› Springer 🌐 English

<p>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 veloc

Dynamics of Flexible Multibody Systems:
✍ Edmund Wittbrodt, Iwona Adamiec-WΓ³jcik, Stanisaw Wojciech (auth.) πŸ“‚ Library πŸ“… 2006 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p><P>A new approach is presented for modelling multi-body systems, which constitutes a substantial enhancement of the Rigid Finite Element method. The new approach is based on homogeneous transformations and joint coordinates, and it yields the advantage that equations of motion are automatically g

Dynamics of Flexible Multibody Systems:
✍ Edmund Wittbrodt, Iwona Adamiec-WΓ³jcik, Stanislaw Wojciech πŸ“‚ Library πŸ“… 2006 πŸ› Springer 🌐 English

<P>A new approach is presented for modelling multi-body systems, which constitutes a substantial enhancement of the Rigid Finite Element method. The new approach is based on homogeneous transformations and joint coordinates, and it yields the advantage that equations of motion are automatically gene

Dynamics of Flexible Multibody Systems:
✍ Edmund Wittbrodt, Iwona Adamiec-WΓ³jcik, Stanislaw Wojciech πŸ“‚ Library πŸ“… 2006 πŸ› Springer 🌐 English

<P>A new approach is presented for modelling multi-body systems, which constitutes a substantial enhancement of the Rigid Finite Element method. The new approach is based on homogeneous transformations and joint coordinates, and it yields the advantage that equations of motion are automatically gene

Dynamics of Flexible Multibody Systems:
✍ Edmund Wittbrodt, Iwona Adamiec-WΓ³jcik, Stanislaw Wojciech, πŸ“‚ Library πŸ“… 2006 πŸ› Springer 🌐 English

A new approach is presented in this book for modelling multi-body systems, which constitutes a substantial enhancement of the Rigid Finite Element method. The new approach is based on homogeneous transformations and joint coordinates. Apart from its simple physical interpretation and easy computer i

3D Motion of Rigid Bodies: A Foundation
✍ Ernesto OlguΓ­n DΓ­az πŸ“‚ Library πŸ“… 2019 πŸ› Springer International Publishing 🌐 English

<p><p>This book offers an excellent complementary text for an advanced course on the modelling and dynamic analysis of multi-body mechanical systems, and provides readers an in-depth understanding of the modelling and control of robots.</p> While the Lagrangian formulation is well suited to multi-bo