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Singularities of robot mechanisms : ...
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Bohigas, Oriol.
Singularities of robot mechanisms : numerical computation and avoidance path planning
紀錄類型:
書目-語言資料,印刷品 : 單行本
副題名:
numerical computation and avoidance path planning
作者:
BohigasOriol.,
其他作者:
ManubensMontserrat.,
其他作者:
RosLluís.,
出版地:
Switzerland
出版者:
Springer;
出版年:
c2017.
面頁冊數:
xxi, 184 p.ill. (some col.) : 25 cm.;
集叢名:
Mechanisms and Machine Sciencev. 41
標題:
Mechanical movements. -
標題:
Robotics. -
標題:
Robots - Kinematics. -
摘要註:
This book presents the singular configurations associated with a robot mechanism, together with robust methods for their computation, interpretation, and avoidance path planning. Having such methods is essential as singularities generally pose problems to the normal operation of a robot, but also determine the workspaces and motion impediments of its underlying mechanical structure. A distinctive feature of this volume is that the methods are applicable to nonredundant mechanisms of general architecture, defined by planar or spatial kinematic chains interconnected in an arbitrary way. Moreover, singularities are interpreted as silhouettes of the configuration space when seen from the input or output spaces. This leads to a powerful image that explains the consequences of traversing singular configurations, and all the rich information that can be extracted from them. The problems are solved by means of effective branch-and-prune and numerical continuation methods that are of independent interest in themselves. The theory can be put into practice as well: a companion web page gives open access to implementations of the algorithms and the corresponding input files. Using them, the reader can gain hands-on experience on the topic, or analyse new mechanisms beyond those examined in the text. Overall, the book contributes new tools for robot design, and constitutes a single reference source of knowledge that is otherwise dispersed in the literature. .
ISBN:
9783319329208
內容註:
Preface Notation List of Figures 1 Introduction 1.1 Historical Context 1.2 Assumptions and Scope 1.3 Reader?s Guide 2 Singularity Types 2.1 Forward and Inverse Singularities 2.2 A Geometric Interpretation of Singularities 2.3 Lower-level Singularity Types 2.4 A Simple Mechanism with All Singularities 3 Numerical Computation of Singularity Sets 3.1 A Suitable Approach 3.2 Formulating the Equations of the Singularity Set 3.3 Isolating the Singularity Set 3.4 Visualising the Singularity Sets 3.5 Case Studies 4 Workspace Determination 4.1 The Need of a General Method 4.2 The Workspace and its Boundaries 4.3 Issues of Continuation Methods 4.4 Exploiting the Branch-and-Prune Machinery 4.5 Case Studies 5 Singularity-free Path Planning 5.1 Related Work 5.2 Formulating the Singularity-free C-space 5.3 Exploring the Singularity-free C-space 5.4 Case Studies 6 Planning with Further Constraints 6.1 Wrench-Feasibility Constraints 6.2 The Planning Problem 6.3 Proofs of the Properties 6.4 Case Studies 6.5 Details about the Wrench Ellipsoid 6.6 Extensions 7 Conclusions 7.1 Summary of Results 7.2 Future Research Directions References Index Author Index. .
Singularities of robot mechanisms : numerical computation and avoidance path planning
Bohigas, Oriol.
Singularities of robot mechanisms
: numerical computation and avoidance path planning / Oriol Bohigas, Montserrat Manubens, Lluis Ros. - Switzerland : Springer, c2017.. - xxi, 184 p. ; ill. (some col.) ; 25 cm.. - (Mechanisms and Machine Science ; v. 41).
Preface.
Includes bibliographical references and indexes..
ISBN 9783319329208ISBN 9783319329222ISBN 3319329200ISBN 3319329227
Mechanical movements.Robotics.Robots -- Kinematics.
Manubens, Montserrat.
Singularities of robot mechanisms : numerical computation and avoidance path planning
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2.1 Forward and Inverse Singularities
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2.3 Lower-level Singularity Types
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2.4 A Simple Mechanism with All Singularities
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3.1 A Suitable Approach
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3.2 Formulating the Equations of the Singularity Set
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3.3 Isolating the Singularity Set
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4 Workspace Determination
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4.1 The Need of a General Method
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4.2 The Workspace and its Boundaries
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4.3 Issues of Continuation Methods
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4.4 Exploiting the Branch-and-Prune Machinery
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4.5 Case Studies
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5 Singularity-free Path Planning
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5.1 Related Work
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5.2 Formulating the Singularity-free C-space
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5.3 Exploring the Singularity-free C-space
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5.4 Case Studies
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6 Planning with Further Constraints
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6.1 Wrench-Feasibility Constraints
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6.2 The Planning Problem
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6.4 Case Studies
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6.5 Details about the Wrench Ellipsoid
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7 Conclusions
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This book presents the singular configurations associated with a robot mechanism, together with robust methods for their computation, interpretation, and avoidance path planning. Having such methods is essential as singularities generally pose problems to the normal operation of a robot, but also determine the workspaces and motion impediments of its underlying mechanical structure. A distinctive feature of this volume is that the methods are applicable to nonredundant mechanisms of general architecture, defined by planar or spatial kinematic chains interconnected in an arbitrary way. Moreover, singularities are interpreted as silhouettes of the configuration space when seen from the input or output spaces. This leads to a powerful image that explains the consequences of traversing singular configurations, and all the rich information that can be extracted from them. The problems are solved by means of effective branch-and-prune and numerical continuation methods that are of independent interest in themselves. The theory can be put into practice as well: a companion web page gives open access to implementations of the algorithms and the corresponding input files. Using them, the reader can gain hands-on experience on the topic, or analyse new mechanisms beyond those examined in the text. Overall, the book contributes new tools for robot design, and constitutes a single reference source of knowledge that is otherwise dispersed in the literature. .
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