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Rigid Body Dynamics Algorithms (The Springer International Series in Engineering and Computer Science), by Roy Featherstone
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The purpose of this book is to present computationally efficient algorithms for calculating the dynamics of robot mechanisms represented as systems of rigid bodies. The efficiency is achieved by the use of recursive formulations of the equations of motion, i.e. formulations in which the equations of motion are expressed implicitly in terms of recurrence relations between the quantities describing the system. The use of recursive formulations in dynamics is fairly new, 50 the principles of their operation and reasons for their efficiency are explained. Three main algorithms are described: the recursIve Newton-Euler formulation for inverse dynamics (the calculation of the forces given the accelerations), and the composite-rigid-body and articulated-body methods for forward dynamics (the calculation of the accelerations given the forces). These algorithms are initially described in terms of an un-branched, open� loop kinematic chain -- a typical serial robot mechanism. This is done to keep the descriptions of the algorithms simple, and is in line with descriptions appearing in the literature. Once the basic algorithms have been introduced, the restrictions on the mechanism are lifted and the algorithms are extended to cope with kinematic trees and loops, and general constraints at the joints. The problem of simulating the effect of contact between a robot and its environment is also considered. Some consideration is given to the details and practical problems of implementing these algori?hms on a computer.
- Sales Rank: #1121257 in eBooks
- Published on: 2013-01-17
- Released on: 1987-07-31
- Format: Kindle eBook
Review
From the reviews: This book deals with a numerical treatment of different problems in the dynamics of rigid-body systems which arise mainly in robotics . is centered on mechanical models made up of many rigid bodies connected by joints. The book is written in a clear way. Each chapter begins by stating the objectives to be achieved. The algorithms presented are well documented and worked examples are also given. the bibliography close this useful book on the computational approach to the dynamics of rigid-body systems. (A. San Miguel, Mathematical Reviews, Issue 2011 h)
From the Back Cover
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.
Unique features include:
• A comprehensive collection of the best rigid-body dynamics algorithms
• Use of spatial (6D) vectors to greatly reduce the volume of algebra, to simplify the treatment of the subject, and to simplify the computer code that implements the algorithms
• Algorithms expressed both mathematically and in pseudocode for easy translation into computer programs
• Source code for many algorithms available on the internet
Rigid Body Dynamics Algorithms is aimed at readers who already have some elementary knowledge of rigid-body dynamics, and are interested in calculating the dynamics of a rigid-body system. This book serves as an algorithms recipe book as well as a guide to the analysis and deeper understanding of rigid-body systems.
Most helpful customer reviews
2 of 2 people found the following review helpful.
The simplicity of Featherstone's algebra blew my mind. Recommended for those interested in robot control.
By Gray Thomas
This book begins by introducing an algebra for forces and motions which greatly simplifies discussion of dynamics. It proceeds to comprehensively review algorithms for calculating rigid body dynamics with effective and easy to understand mathematics and pseudo-code. The book improves on Featherstone's previous work in its algebra, and its addressing of closed loop systems. As a graduate student and robotics researcher I highly recommend this book for those interested in control and simulation design.
3 of 5 people found the following review helpful.
Innovative but rather poorly presented
By Mohd F. B. Razak
I'm a third year undergraduate mechanical engineering student and I bought this book as my supervisor sugested that I try to implement the concept of 6D spatial vectors into my research project. The book starts out fine, the ideas are sound but I'm having a rather hard time trying to make sense of it due to there being very little use of practical examples in the book and the examples that are in the book are not that well explained; I suspect engineering mathematics students might be able to benefit more from the book but as a mechanical student I find that I'm going to need a lot of assistance to understand the presented material.
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