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Geometric Design of Linkages (Interdisciplinary Applied Mathematics, 11)

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Item specifics

Condition
Good: A book that has been read but is in good condition. Very minimal damage to the cover including ...
Release Year
2010
Book Title
Geometric Design of Linkages (Interdisciplinary Applied Mathem...
ISBN
9781441978912

About this product

Product Identifiers

Publisher
Springer New York
ISBN-10
1441978917
ISBN-13
9781441978912
eBay Product ID (ePID)
99466784

Product Key Features

Number of Pages
Xxviii, 448 Pages
Language
English
Publication Name
Geometric Design of Linkages
Publication Year
2010
Subject
Mechanical, System Theory, Electrical, Geometry / Algebraic
Type
Textbook
Author
J. Michael Mccarthy, Gim Song Soh
Subject Area
Mathematics, Technology & Engineering, Science
Series
Interdisciplinary Applied Mathematics Ser.
Format
Hardcover

Dimensions

Item Weight
65.6 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Edition Number
2
Intended Audience
Scholarly & Professional
LCCN
2011-377651
Reviews
"...I found the author had provided an excellent text that enabled me to come to terms with the subject. Readers with an interest in the area will find the volume rewarding." -The Mathematical Gazette (2001), From the reviews of the second edition:"...I found the author had provided an excellent text that enabled me to come to terms with the subject. Readers with an interest in the area will find the volume rewarding." -The Mathematical Gazette (2001)The book to review is the most extensive source of the synthesis side, containing all the theoretical basics needed for the design of planar, spherical and spatial linkages. … this book is a real guide from the very beginnings of synthesis of simple mechanisms to the latest, theoretically involved results in the synthesis of multi-loop planar, spherical and spatial linkages. (Manfred Husty, Zentralblatt MATH, Vol. 1227, 2012), From the reviews of the second edition: "...I found the author had provided an excellent text that enabled me to come to terms with the subject. Readers with an interest in the area will find the volume rewarding." -The Mathematical Gazette (2001) "The book to review is the most extensive source of the synthesis side, containing all the theoretical basics needed for the design of planar, spherical and spatial linkages. ... this book is a real guide from the very beginnings of synthesis of simple mechanisms to the latest, theoretically involved results in the synthesis of multi-loop planar, spherical and spatial linkages." (Manfred Husty, Zentralblatt MATH, Vol. 1227, 2012)
Dewey Edition
22
Series Volume Number
11
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
621.8/15
Table Of Content
Introduction.- Analysis of Planar Linkages.- Graphical Synthesis in the Plane.- Planar Kinematics.- Algebraic Synthesis of Planar.- Multiloop Planar Linkages.- Analysis of Spherical Linkages.- Spherical Kinematics.- Algebraic Synthesis of Spherical Chains.- Multiloop Spherical.- Analysis of Spatial Chains.- Spatial Kinematics.- Algebraic Synthesis of Spatial.- Synthesis of Spatial Chains with Reachable Surface.- Clifford Algebra Synthesis of Spatial Chains.- Platform Manipulators.- References.
Synopsis
This book is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages. The focus is on sizing mechanical constraints that guide the movement of a work piece, or end-effector, of the system. The function of the device is prescribed as a set of positions to be reachable by the end-effector; and the mechanical constraints are formed by joints that limit relative movement. The goal is to find all the devices that can achieve a specific task. Formulated in this way the design problem is purely geometric in character. Robot manipulators, walking machines, and mechanical hands are examples of articulated mechanical systems that rely on simple mechanical constraints to provide a complex workspace for the end- effector. The principles presented in this book form the foundation for a design theory for these devices. The emphasis, however, is on articulated systems with fewer degrees of freedom than that of the typical robotic system, and therefore, less complexity. This book will be useful to mathematics, engineering and computer science departments teaching courses on mathematical modeling of robotics and other articulated mechanical systems. This new edition includes research results of the past decade on the synthesis of multi loop planar and spherical linkages, and the use of homotopy methods and Clifford algebras in the synthesis of spatial serial chains. One new chapter on the synthesis of spatial serial chains introduces numerical homotopy and the linear product decomposition of polynomial systems. The second new chapter introduces the Clifford algebra formulation of the kinematics equations of serial chain robots. Examples are use throughout to demonstrate the theory., This book is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages. The focus is on sizing mechanical constraints that guide the movement of a work piece, or end-effector, of the system. The function of the device is prescribed as a set of positions to be reachable by the end-effect∨ and the mechanical constraints are formed by joints that limit relative movement. The goal is to find all the devices that can achieve a specific task. Formulated in this way the design problem is purely geometric in character. Robot manipulators, walking machines, and mechanical hands are examples of articulated mechanical systems that rely on simple mechanical constraints to provide a complex workspace for the end- effector. The principles presented in this book form the foundation for a design theory for these devices. The emphasis, however, is on articulated systems with fewer degrees of freedom than that of the typical robotic system, and therefore, less complexity. This book will be useful to mathematics, engineering and computer science departments teaching courses on mathematical modeling of robotics and other articulated mechanical systems. This new edition includes research results of the past decade on the synthesis of multi loop planar and spherical linkages, and the use of homotopy methods and Clifford algebras in the synthesis of spatial serial chains. One new chapter on the synthesis of spatial serial chains introduces numerical homotopy and the linear product decomposition of polynomial systems. The second new chapter introduces the Clifford algebra formulation of the kinematics equations of serial chain robots. Examples are use throughout to demonstrate the theory., Now in a fresh edition that includes recent results on the synthesis of multiloop planar and spherical linkages and the use of homotopy methods and Clifford algebras in synthesizing spatial serial chains, this volume is a foundation for linkage design theory.
LC Classification Number
Q295

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