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Rigid Body Dynamics Algorithms
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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)
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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.
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Product details
Hardcover: 272 pages
Publisher: Springer; 2008 edition (November 26, 2007)
Language: English
ISBN-10: 0387743146
ISBN-13: 978-0387743141
Product Dimensions:
6.1 x 0.7 x 9.2 inches
Shipping Weight: 1.3 pounds (View shipping rates and policies)
Average Customer Review:
3.7 out of 5 stars
3 customer reviews
Amazon Best Sellers Rank:
#755,158 in Books (See Top 100 in Books)
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.
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.
This 200 page book might not look like much when you first open it up. But...If you want to understand concepts like: Spatial Kinematics; Spatial Dynamics; Inverse Dynamics; Forward Dynamics - The Composite-Rigid-Body Method; Extending the Dynamics Algorithms; Coordinate Systems and Efficiency; Contact, Impact, and Kinematic Loops, this book is for you!If you want to learn how to computate efficient algorithms for calculating the dynamics of robot mechanisms represented as systems of rigid bodies, then this book is for you!The efficiency of these calculations are acchieved by the use of recursive formulations of the equations of motion. The use of recursive formulations in dynamics is fairly new, so the priciples of their operation and reason for their efficiency are explained.These algorithms are initially described in terms of an un-branhed, open-loop Kinematic chain - atypical 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 algorithms on a computer.The reader is asumed to have a knowledge of vectorial mechanics. No prior knowledge of robot dynamics, or the dynamics of any other kind of rigid-body system, is required....
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