Screw Theory and Its Application to Spatial Robot Manipulators

Screw Theory and Its Application to Spatial Robot Manipulators

Author: Carl D. Crane, III

Publisher: Cambridge University Press

Published: 2022-08-31

Total Pages: 224

ISBN-13: 1009301764

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Discover a fresh take on classical screw theory and understand the geometry embedded within robots and mechanisms with this essential text. The book begins with a geometrical study of points, lines, and planes and slowly takes the reader toward a mastery of screw theory with some cutting-edge results, all while using only basic linear algebra and ordinary vectors. It features a discussion of the geometry of parallel and serial robot manipulators, in addition to the reciprocity of screws and a singularity study. All 41 essential screw systems are unveiled, establishing the possible freedom twists and constraint wrenches for a kinematic joint. Familiarizing the reader with screw geometry in order to study the statics and kinematics of robots and mechanisms, this is a perfect resource for engineers and graduate students.


A Mathematical Introduction to Robotic Manipulation

A Mathematical Introduction to Robotic Manipulation

Author: Richard M. Murray

Publisher: CRC Press

Published: 2017-12-14

Total Pages: 488

ISBN-13: 1351469789

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A Mathematical Introduction to Robotic Manipulation presents a mathematical formulation of the kinematics, dynamics, and control of robot manipulators. It uses an elegant set of mathematical tools that emphasizes the geometry of robot motion and allows a large class of robotic manipulation problems to be analyzed within a unified framework. The foundation of the book is a derivation of robot kinematics using the product of the exponentials formula. The authors explore the kinematics of open-chain manipulators and multifingered robot hands, present an analysis of the dynamics and control of robot systems, discuss the specification and control of internal forces and internal motions, and address the implications of the nonholonomic nature of rolling contact are addressed, as well. The wealth of information, numerous examples, and exercises make A Mathematical Introduction to Robotic Manipulation valuable as both a reference for robotics researchers and a text for students in advanced robotics courses.


Finite and Instantaneous Screw Theory in Robotic Mechanism

Finite and Instantaneous Screw Theory in Robotic Mechanism

Author: Tao Sun

Publisher: Springer Nature

Published: 2020-02-13

Total Pages: 411

ISBN-13: 9811519447

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This book presents a finite and instantaneous screw theory for the development of robotic mechanisms. It addresses the analytical description and algebraic computation of finite motion, resulting in a generalized type synthesis approach. It then discusses the direct connection between topology and performance models, leading to an integrated performance analysis and design framework. The book then explores parameter uncertainty and multiple performance requirements for reliable, optimal design methods, and describes the error accumulation principle and parameter identification algorithm, to increase robot accuracy. It proposes a unified and generic methodology, and appliesto the invention, analysis, design, and calibration of robotic mechanisms. The book is intended for researchers, graduate students and engineers in the fields of robotic mechanism and robot design and applications./div


Screw Theory in Robotics

Screw Theory in Robotics

Author: Jose M. Pardos-Gotor

Publisher: CRC Press

Published: 2021-11-23

Total Pages: 255

ISBN-13: 1000481565

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Screw theory is an effective and efficient method used in robotics applications. This book demonstrates how to implement screw theory, explaining the key fundamentals and real-world applications using a practical and visual approach. An essential tool for those involved in the development of robotics implementations, the book uses case studies to analyze mechatronics. Screw theory offers a significant opportunity to interpret mechanics at a high level, facilitating contemporary geometric techniques in solving common robotics issues. Using these solutions results in an optimized performance in comparison to algebraic and numerical options. Demonstrating techniques such as six-dimensional (6D) vector notation and the Product of Exponentials (POE), the use of screw theory notation reduces the need for complex algebra, which results in simpler code, which is easier to write, comprehend, and debug. The book provides exercises and simulations to demonstrate this with new formulas and algorithms presented to aid the reader in accelerating their learning. By walking the user through the fundamentals of screw theory, and by providing a complete set of examples for the most common robot manipulator architecture, the book delivers an excellent foundation through which to comprehend screw theory developments. The visual approach of the book means it can be used as a self-learning tool for professionals alongside students. It will be of interest to those studying robotics, mechanics, mechanical engineering, and electrical engineering.


Robots and Screw Theory

Robots and Screw Theory

Author: J. K. Davidson

Publisher: Oxford University Press

Published: 2004-03-25

Total Pages: 477

ISBN-13: 0192516280

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Robots and Screw Theory describes the mathematical foundations, especially geometric, underlying the motions and force-transfers in robots. The principles developed in the book are used in the control of robots and in the design of their major moving parts. The illustrative examples and the exercises in the book are taken principally from robotic machinery used for manufacturing and construction, but the principles apply equally well to miniature robotic devices and to those used in other industries. The comprehensive coverage of the screw and its geometry lead to reciprocal screw systems for statics and instantaneous kinematics. These screw systems are brought together in a unique way to show many cross-relationships between the force-systems that support a body equivalently to a kinematic serial connection of joints and links. No prior knowledge of screw theory is assumed. The reader is introduced to the screw with a simple planar example yet most of the book applies to robots that move three-dimensionally. Consequently, the book is suitable both as a text at the graduate-course level and as a reference book for the professional. Worked examples on every major topic and over 300 exercises clarify and reinforce the principles covered in the text. A chapter-length list of references gives the reader source-material and opportunities to pursue more fully topics contained in the text.


New Advances in Mechanisms, Transmissions and Applications

New Advances in Mechanisms, Transmissions and Applications

Author: Med Amine Laribi

Publisher: Springer Nature

Published: 2023-04-15

Total Pages: 416

ISBN-13: 3031298152

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Gathering the proceedings of the 6th IFToMM International Conference on Mechanisms, Transmissions, and Applications (MeTrApp), held in Poitiers, France, on May 24-26, 2023, this volume covers topics such as mechanism and machinery design, parallel manipulators, robotics and mechatronics, control applications, mechanical transmissions, cam and gear mechanisms, and dynamics of machinery. MeTrApp 2019 provided researchers, scientists, industry experts, and graduate students from around the globe with a platform to share their cutting-edge work on mechanisms, transmissions, and their applications. The proceedings extend this platform to all researchers, scientists, industry experts, and students interested in these fields.


Advanced Theory of Constraint and Motion Analysis for Robot Mechanisms

Advanced Theory of Constraint and Motion Analysis for Robot Mechanisms

Author: Jingshan Zhao

Publisher: Academic Press

Published: 2018-10-30

Total Pages: 0

ISBN-13: 9780128101773

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Advanced Theory of Constraint and Motion Analysis for Robot Mechanisms provides a complete analytical approach to the invention of new robot mechanisms and the analysis of existing designs based on a unified mathematical description of the kinematic and geometric constraints of mechanisms. Beginning with a high level introduction to mechanisms and components, the book moves on to present a new analytical theory of terminal constraints for use in the development of new spatial mechanisms and structures. It clearly describes the application of screw theory to kinematic problems and provides tools that students, engineers and researchers can use for investigation of critical factors such as workspace, dexterity and singularity.


Modern Robotics

Modern Robotics

Author: Kevin M. Lynch

Publisher: Cambridge University Press

Published: 2017-05-25

Total Pages: 545

ISBN-13: 1107156300

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A modern and unified treatment of the mechanics, planning, and control of robots, suitable for a first course in robotics.