On Advances in Robot Kinematics

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Format: Hardcover
Pub. Date: 2004-06-30
Publisher(s): Kluwer Academic Pub
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Summary

This book presents the most recent research advances in the theory, design, control and application of robotic systems, which are intended for a variety of purposes such as manipulation, manufacturing, automations, surgery, locomotion and biomechanics. The issues addressed are fundamentally kinematic in nature, including synthesis, calibration, redundancy, force control, dexterity, inverse and forward kinematics, kinematic singularities, as well as over-constrained systems. Methods used include line geometry, quaternion algebra, screw algebra, and linear algebra. These methods are applied to both parallel and serial multi-degree-of-freedom systems. The results should interest researchers, teachers and students, in fields of engineering and mathematics related to robot theory, design, control and application.

Table of Contents

A fast and accurate method for the singular value decomposition of 3x3 matricesp. 3
SVD and PD based projection metrics on SE(n)p. 13
Choice of independent coordinates in modular kinematicsp. 23
Distance constraints solved geometricallyp. 31
Kinematic mapping application to approximate type and dimension synthesis of planar mechanismsp. 41
On the ruled surface generated by a linear combination screwp. 49
Lie-group first-order operations in rigid-body kinematicsp. 57
First-order intrinsic properties of the rotation parameters SO(3), quaternion and rotation vectorp. 67
Time-invariant properties of planar motionsp. 79
Projective properties of parallel manipulatorsp. 89
Screw spaces and connectivities in multiloop linkagesp. 97
Kinematics equations of a class of 4DOF parallel wristsp. 105
Kinematic structure of a parallel robot for MEMS fabricationp. 113
Isolating self-motion manifolds on a playstationp. 123
Mobility of spatial multi-loop and mixed linkagesp. 133
Human-like motion from physiologically-based potential energiesp. 145
Role of biarticular muscles in human jumpp. 155
Human hand movement kinematics and kinesthesiap. 163
Kinematic synthesis of avatar skeletons from visual datap. 171
Kinematics and modelling of a system for robotic surgeryp. 181
Manipulability and accuracy measures for a medical robot in minimally invasive surgeryp. 191
Helix-Helix packing in proteins : the kinematics of interacting line segmentsp. 199
Analysis of the influence of wires interference on the workspace of wire robotsp. 211
Workspace classification of 3R orthogonal manipulatorsp. 219
Workspace classification of Stewart-Gough manipulators with planar base and platformp. 229
The orthoglide : kinematics and workspace analysisp. 237
A Cartesian representation for the boundary workspace of 3R manipulatorsp. 247
Kinematic isotropy and dynamic performances in translational parallel manipulatorsp. 255
Fully-isotropic T3R1-type parallel manipulatorsp. 265
The singular planes of the articulated arm subassemblyp. 275
Inverse kinematics with fuzzy redundancy resolution for a fire fighting robotp. 283
A force based approach to error analysis of parallel kinematic mechanismsp. 293
Analysis and optimization of a planar tendon-driven parallel manipulatorp. 303
Closed-form equilibrium analysis of a planar tensegrity structurep. 313
Singularities and mobility of a class of 4-DOF mechanismsp. 321
Kinematics and dynamics of a 6-RUS Hunt-type parallel manipulator by using natural coordinatesp. 329
The robust design of Schonflies-motion generatorsp. 339
Polyhedral zig-zag linkagesp. 351
Variational motion designp. 361
New parallel wrists : special limbs with motion dependencyp. 371
The design of a novel pitch-roll wrist with spherical cam-roller pairsp. 381
Design of a hybrid manipulator for painting highway signagep. 389
An optimal kinematic design for a highly dextrous MIS instrumentp. 399
Achievable Cartesian stiffness with passively compliant, uncoupled jointsp. 409
Movement primitives and principal component analysisp. 421
Parallel mechanisms with pseudo-planar motion generatorsp. 431
Multi-agent manipulator control and moving obstacle avoidancep. 441
Kinematics of a parallel mechanism for the generation of spherical motionsp. 449
Control of a maneuvering mobile robot by transverse functionsp. 459
Acceleration-driven kinematics of mobile manipulators : an endogenous configuration space approachp. 469
Dynamic dexterity and isotropy of mobile robots : an endogenous configuration space approachp. 477
Table of Contents provided by Blackwell. All Rights Reserved.

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