Freedom in Machinery: Volume 1, Introducing Screw Theory
Freedom in Machinery: Volume 1, Introducing Screw Theory

Author: Jack Phillips

Publisher: Cambridge University Press

Published: 1984-12-20

Total Pages: 218

ISBN-13: 9780521236966

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Does a machine run well by virtue of its accuracies, or its freedoms? This work presents an exciting, diagrammatic display of the hidden geometry of freedom and constraint. It bolsters the imaginative design of robots, but applies across all fields of machinery. The figures and their captions comprise alone a self-standing story, and this connects effectively with the rigorously argued text. The seamless combination of the two volumes (1984, 1990) renders the internal cross-referencing (forward and backward within the volumes) easier to look up. The appearance of this paperback is a clear testament to the work's ongoing readership. The term screw theory occurs throughout. This relates (after Ball) to the book's philosophy; and one might equally mention kinetostatics (after Federhofer). An all-pervading, counter-intuitive fact accordingly presents itself: while, analogously, angular velocity relates to force, linear velocity relates to couple. A direct consequence of Freedom in Machinery is a more recent book by the same author. Specifically titled General Spatial Involute Gearing and published in Germany (2003), it exemplifies the many ways in which Freedom in Machinery clarifies the enigmatic field of spatial mechanism. That field continuously expands with the current, continuous thrust of ordinary engineering practice.

Freedom in Machinery: Volume 2, Screw Theory Exemplified
Freedom in Machinery: Volume 2, Screw Theory Exemplified

Author: Jack Phillips

Publisher: Cambridge University Press

Published: 1984

Total Pages: 274

ISBN-13: 9780521254427

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Does a machine run well by virtue of its accuracies, or its freedoms? This work presents an exciting, diagrammatic display of the hidden geometry of freedom and constraint. It bolsters the imaginative design of robots, but applies across all fields of machinery. The figures and their captions comprise alone a self-standing story, and this connects effectively with the rigorously argued text. The seamless combination of the two volumes (1984, 1990) renders the internal cross-referencing (forward and backward within the volumes) easier to look up. The appearance of this paperback is a clear testament to the work's ongoing readership. The term screw theory occurs throughout. This relates (after Ball) to the book's philosophy; and one might equally mention kinetostatics (after Federhofer). An all-pervading, counter-intuitive fact accordingly presents itself: while, analogously, angular velocity relates to force, linear velocity relates to couple. A direct consequence of Freedom in Machinery is a more recent book by the same author. Specifically titled General Spatial Involute Gearing and published in Germany (2003), it exemplifies the many ways in which Freedom in Machinery clarifies the enigmatic field of spatial mechanism. That field continuously expands with the current, continuous thrust of ordinary engineering practice.

Freedom in Machinery: Introducing screw theory
Freedom in Machinery: Introducing screw theory

Author: Jack Phillips

Publisher: Cambridge University Press

Published: 1984

Total Pages: 470

ISBN-13: 9780521673310

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This book deals with questions of freedom and constraint in machinery. It asks, for example, whether the smooth working of a machine will depend entirely upon the accuracy of its construction. As it answers such questions, it explores the geometrical interstices of the so-called screw systems at the.

Kinematic Analysis of Parallel Manipulators by Algebraic Screw Theory
Kinematic Analysis of Parallel Manipulators by Algebraic Screw Theory

Author: Jaime Gallardo-Alvarado

Publisher: Springer

Published: 2016-06-16

Total Pages: 389

ISBN-13: 3319311263

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This book reviews the fundamentals of screw theory concerned with velocity analysis of rigid-bodies, confirmed with detailed and explicit proofs. The author additionally investigates acceleration, jerk, and hyper-jerk analyses of rigid-bodies following the trend of the velocity analysis. With the material provided in this book, readers can extend the theory of screws into the kinematics of optional order of rigid-bodies. Illustrative examples and exercises to reinforce learning are provided. Of particular note, the kinematics of emblematic parallel manipulators, such as the Delta robot as well as the original Gough and Stewart platforms are revisited applying, in addition to the theory of screws, new methods devoted to simplify the corresponding forward-displacement analysis, a challenging task for most parallel manipulators.

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.

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: 2013-11-22

Total Pages: 495

ISBN-13: 0124202233

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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. - Combines constraint and free motion analysis and design, offering a new approach to robot mechanism innovation and improvement - Clearly describes the use of screw theory in robot kinematic analysis, allowing for concise representation of motion and static forces when compared to conventional analysis methods - Includes worked examples to translate theory into practice and demonstrate the application of new analytical methods to critical robotics problems

Advances in Mechanisms, Robotics and Design Education and Research
Advances in Mechanisms, Robotics and Design Education and Research

Author: Vijay Kumar

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 410

ISBN-13: 3319003984

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This book contains papers on a wide range of topics in the area of kinematics, mechanisms, robotics, and design, addressing new research advances and innovations in design education. The content is divided into five main categories headed ‘Historical Perspectives’, ‘Kinematics and Mechanisms’, ‘Robotic Systems’, ‘Legged Locomotion’, and ‘Design Engineering Education’. Contributions take the form of survey articles, historical perspectives, commentaries on trends on education or research, original research contributions, and papers on design education. This volume celebrates the achievements of Professor Kenneth Waldron who has made innumerable and invaluable contributions to these fields in the last fifty years. His leadership and his pioneering work have influenced thousands of people in this discipline.

Distinguished Figures in Mechanism and Machine Science
Distinguished Figures in Mechanism and Machine Science

Author: Marco Ceccarelli

Publisher: Springer Nature

Published: 2022-12-02

Total Pages: 224

ISBN-13: 303118288X

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This book discusses the technological developments achieved by distinguished figures in the history of mechanism and machine science (MMS). This is the fifth volume of a series of books which gathered contributions on the leading scientists in the field. This book focuses specifically on the IFToMM community and its activities over the last 50 years, showcases who-is-who in MMS, and emphasizes—together with the previous books of the series—the significance of MMS through time. Each chapter recognizes persons whose scientific work resulted in relevant technical developments in the historical evolution of MMS within IFToMM. Biographical notes describing the efforts and achievements of these persons are included as well, but a technical survey is the core of each chapter, offering a modern interpretation of their legacy.

Theory of Parallel Mechanisms
Theory of Parallel Mechanisms

Author: Zhen Huang

Publisher: Springer Science & Business Media

Published: 2012-07-26

Total Pages: 430

ISBN-13: 9400742010

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This book contains mechanism analysis and synthesis. In mechanism analysis, a mobility methodology is first systematically presented. This methodology, based on the author's screw theory, proposed in 1997, of which the generality and validity was only proved recently, is a very complex issue, researched by various scientists over the last 150 years. The principle of kinematic influence coefficient and its latest developments are described. This principle is suitable for kinematic analysis of various 6-DOF and lower-mobility parallel manipulators. The singularities are classified by a new point of view, and progress in position-singularity and orientation-singularity is stated. In addition, the concept of over-determinate input is proposed and a new method of force analysis based on screw theory is presented. In mechanism synthesis, the synthesis for spatial parallel mechanisms is discussed, and the synthesis method of difficult 4-DOF and 5-DOF symmetric mechanisms, which was first put forward by the author in 2002, is introduced in detail. Besides, the three-order screw system and its space distribution of the kinematic screws for infinite possible motions of lower mobility mechanisms are both analyzed.

Mechanisms
Mechanisms

Author: Jaime Gallardo-Alvarado

Publisher: Academic Press

Published: 2022-06-18

Total Pages: 532

ISBN-13: 0323953476

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Theory of mechanisms is an applied science of mechanics that studies the relationship between geometry, mobility, topology, and relative motion between rigid bodies connected by geometric forms. Recently, knowledge in kinematics and mechanisms has considerably increased, causing a renovation in the methods of kinematic analysis. With the progress of the algebras of kinematics and the mathematical methods used in the optimal solution of polynomial equations, it has become possible to formulate and elegantly solve problems. Mechanisms: Kinematic Analysis and Applications in Robotics provides an updated approach to kinematic analysis methods and a review of the mobility criteria most used in planar and spatial mechanisms. Applications in the kinematic analysis of robot manipulators complement the material presented in the book, growing in importance when one recognizes that kinematics is a basic area in the control and modeling of robot manipulators. - Presents an organized review of general mathematical methods and classical concepts of the theory of mechanisms - Introduces methods approaching time derivatives of arbitrary vectors employing general approaches based on the vector angular velocity concept introduced by Kane and Levinson - Proposes a strategic approach not only in acceleration analysis but also to jerk analysis in an easy to understand and systematic way - Explains kinematic analysis of serial and parallel manipulators by means of the theory of screws