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Author: O. Bottema Publisher: Courier Corporation ISBN: 0486663469 Category : Science Languages : en Pages : 594
Book Description
Classic, comprehensive treatment covers Euclidean displacements; instantaneous kinematics; two-position, three-position, four-and-more position theory; special motions; multiparameter motions; kinematics in other geometries; and special mathematical methods.
Author: O. Bottema Publisher: Courier Corporation ISBN: 0486663469 Category : Science Languages : en Pages : 594
Book Description
Classic, comprehensive treatment covers Euclidean displacements; instantaneous kinematics; two-position, three-position, four-and-more position theory; special motions; multiparameter motions; kinematics in other geometries; and special mathematical methods.
Author: J. M. McCarthy Publisher: MIT Press (MA) ISBN: 9780262132527 Category : Computers Languages : en Pages : 130
Book Description
Introduction to Theoretical Kinematics provides a uniform presentation of the mathematical foundations required for studying the movement of a kinematic chain that makes up robot arms, mechanical hands, walking machines, and similar mechanisms. It is a concise and readable introduction that takes a more modern approach than other kinematics texts and introduces several useful derivations that are new to the literature. The author employs a unique format, highlighting the similarity of the mathematical results for planar, spherical, and spatial cases by studying them all in each chapter rather than as separate topics. For the first time, he applies to kinematic theory two tools of modern mathematics - the theory of multivectors and the theory of Clifford algebras - that serve to clarify the seemingly arbitrary nature of the construction of screws and dual quaternions. The first two chapters formulate the matrices that represent planar, spherical, and spatial displacements and examine a continuous set of displacements which define a continuous movement of a body, introducing the "tangent operator." Chapter 3 focuses on the tangent operators of spatial motion as they are reassembled into six-dimensional vectors or screws, placing these in the modern setting of multivector algebra. Clifford algebras are used in chapter 4 to unify the construction of various hypercomplex "quaternion" numbers. Chapter 5 presents the elementary formulas that compute the degrees of freedom or mobility, of kinematic chains, and chapter 6 defines the structure equations of these chains in terms of matrix transformations. The last chapter computes the quaternion form of the structure equations for ten specific mechanisms. These equations define parameterized manifolds in the Clifford algebras, or "image spaces," associated with planar, spherical, and spatial displacements. McCarthy reveals a particularly interesting result by showing that these parameters can be mathematically manipulated to yield hyperboloids or intersections of hyperboloids.
Author: Jens Wittenburg Publisher: Springer ISBN: 3662484870 Category : Technology & Engineering Languages : en Pages : 685
Book Description
The book deals with kinematics of mechanisms. It focuses on a solid theoretical foundation and on mathematical methods applicable to the solution of problems of very diverse nature. Applications are demonstrated in a large number of fully worked-out problems. In kinematics a wide variety of mathematical tools is applicable. In this book, wherever possible vector equations are formulated instead of lengthy scalar coordinate equations. The principle of transference is applied to problems of very diverse nature. 15 chapters of the book are devoted to spatial kinematics and three chapters to planar kinematics. In Chapt. 19 nonlinear dynamics equations of motion are formulated for general spatial mechanisms. Nearly one half of the book is dealing with position theory and the other half with motion. The book is intended for use as reference book for researchers and as textbook in advanced courses on kinematics of mechanisms.
Author: Julian Schwinger Publisher: Westview Press ISBN: 9780738203034 Category : Science Languages : en Pages : 400
Book Description
A classic from 1969, this book is based on a series of lectures delivered at the Les Houches Summer School of Theoretical Physics in 1955. The book outlines a general scheme of quantum kinematics and dynamics.
Author: C. H. Chiang Publisher: ISBN: 9781575241555 Category : Links and link-motion Languages : en Pages : 0
Book Description
This text describes examples of the spherical mechanism that are seen in everyday life, such as the universal joint, a swiveling electric fan and a pair of bevel gears. The subject has received massive impetus from robotics, where many of the results of the theory find their application.
Author: Reza N. Jazar Publisher: Springer Science & Business Media ISBN: 1441917500 Category : Technology & Engineering Languages : en Pages : 889
Book Description
The second edition of this book would not have been possible without the comments and suggestions from students, especially those at Columbia University. Many of the new topics introduced here are a direct result of student feedback that helped refine and clarify the material. The intention of this book was to develop material that the author would have liked to have had available as a student. Theory of Applied Robotics: Kinematics, Dynamics, and Control (2nd Edition) explains robotics concepts in detail, concentrating on their practical use. Related theorems and formal proofs are provided, as are real-life applications. The second edition includes updated and expanded exercise sets and problems. New coverage includes: components and mechanisms of a robotic system with actuators, sensors and controllers, along with updated and expanded material on kinematics. New coverage is also provided in sensing and control including position sensors, speed sensors and acceleration sensors. Students, researchers, and practicing engineers alike will appreciate this user-friendly presentation of a wealth of robotics topics, most notably orientation, velocity, and forward kinematics.
Author: Joaquim A. Batlle Publisher: Cambridge University Press ISBN: 1108479073 Category : Science Languages : en Pages : 297
Book Description
A rigorous analysis and description of general motion in mechanical systems, which includes over 400 figures illustrating every concept, and a large collection of useful exercises. Ideal for students studying mechanical engineering, and as a reference for graduate students and researchers.
Author: Franz Reuleaux Publisher: Franklin Classics ISBN: 9780342392735 Category : Languages : en Pages : 644
Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: O. Bottema
Author: O. Bottema
Author: J. M. McCarthy
Author: Jens Wittenburg
Author: Julian Schwinger
Author: C. H. Chiang
Author: Reza N. Jazar
Author: Oene Bottema
Author: Joaquim A. Batlle
Author: R. H. Furth
Author: Franz Reuleaux