Overview

This book presents recent advances in robot kinematics and computational geometry in kinematics. More than fifty contributions report the most effective mathematical forms for mapping between various types of coordinate systems, methods to minimise the numerical complexity of algorithms for real-time control schemes, and discover analytical tools for understanding and evaluating motion properties of various mechanisms used in a robotic system. The book is divided into twelve sections, identified as the prevalent areas of contemporary research in kinematics and computational geometry as applied to robots and mechanisms. They include the following topics: workspace and trajectory analysis, computational geometry in kinematics, kinematic errors and calibration, kinematics of mobile robots, kinematic performance, kinematics in control, force and elasticity analysis, inverse kinematics, kinematic design, kinematic analysis, parallel manipulators, as well as task and motion planning. The book is of interest to researchers, graduate students, mathematicians and engineers specialising in kinematics of robots and mechanisms in the area of mathematical modelling, design, control, and simulation.

Full Product Details

Author:   Jadran Lenarčič ,  Bahram Ravani
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1994
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   0.795kg
ISBN:  

9789048144341

ISBN 10:   9048144345
Pages:   514
Publication Date:   15 December 2010
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

Computational Advances in Robot Kinematics.- 1. Workspace and Trajectory Analysis.- Characterizing the Workspace of the Spherical Image of Cooperating Robots.- On the Kinematics of Nonsingular and Singular Posture Changing Manipulators.- Determination of the Workspace Boundary of a General n-Revolute Manipulator.- Local Pictures for General Two-Parameter Planar Motions.- Limited Existence of Three-Dimensional Conformal Mapping in Robots.- 2. Computational Geometry in Kinematics.- Geometric Analysis of Spatial Rigid-Body Dynamics with Multiple Friction Contacts.- An Inverse Design Algorithm for a G2 Interpolating Spline Motion.- Geometry of Parallel-Jaw Gripper Grasps in the Plane.- Computational Geometry in the Synthesis of Skew Gear Teeth.- 3. Kinematic Errors and Calibration.- A CAD Tool for Remote Calibration of Space Station Robotic Test Bed.- Kinematic Calibration and the Product of Exponentials Formula.- A Systematic Approach to Model Arbitrary Non Geometric Kinematic Errors.- 4. Kinematics of Mobile Robots.- The Wheeled Actively Articulated Vehicle (WAAV): An Advanced Off-Road Mobility Concept.- Limitations of Kinematic Models for Wheeled Mobile Robots.- A Spatial Leg Mechanism With Anthropomorphic Properties for Ambulatory Robots.- An Investigation of the Kinematic Control of a Six-Legged Walking Robot.- 5. Kinematic Performance.- Kinematic Isotropy in 3R Positioning Manipulators.- An Object Shape Dependent Kinematic Manipulability Measure for Path Planning and Shape Optimization.- Application of Dexterity Indices to Spatial Articulated Hands.- Characterization of Kinematic and Static Performances of Robotic Geared Wrists.- 6. Kinematics in Control.- A Dynamically Consistent Strategy for Manipulator Control at Singularities.- Third-Order Control of a Planar System Tracking Constant Curvature Paths.- Control of Manipulators With Flexible Joints and Links by Non Linear Inversion, Modal Damping and Joints Stiffening.- Inverse Kinematic Solution and Mixed Control Law for Redundant Robot in the Cartesian Space.- 7. Force and Elasticity Analysis.- An Inverse Force Analysis of a Spatial Three-Spring System.- A Two-Arm Robot Can Be Stronger Than Two Arms — Experiments on Optimal Force Distribution in Two-Arm Robot.- Minimum Joint Torque Configurations of Planar Multiple-Link Manipulator.- 8. Inverse Kinematics.- Positional Inverse Kinematic Problems in Tn × Rm Solved in T2(n+m).- Explicit Modelling of General Task Spaces for Inverse Kinematics.- On the General Solution of the Inverse Kinematics of Six-Degrees-of-Freedom Manipulators.- Coping with Joint Velocity Limits in First-Order Inverse Kinematics Algorithms.- Hybrid Position-Orientation Decoupling in Robot Manipulators.- Dual Basis of Screw-Vectors for Inverse Kinestatic Problems in Robotics.- 9. Kinematic Design.- A Comparison of Two Minimally-Singular Articulated Arm-Subassemblies.- Design and Multi Objective Optimization of a Linkage for a Haptic Interface.- Design of a Three-dof Tendon-driven Manipulator with the Characteristics of Equal Maximum Tensions.- Spherical 3 d. o. f Geared Wrist with no Aligned Singularity.- 10. Kinematic Analysis.- Is There a Most General Kinematic Chain?.- Zero-Magnitude Screws in a 3-System of Finite Displacement Screws.- True Straight-line Linkages Having a Rectilinear Translating Bar.- On the Reduction of Parameters in Kinematic Equations.- 11. Parallel Manipulators.- Symbolic-Form Forward Kinematics of a 5-4 Fully-Parallel Manipulator.- Evaluation of the Errors When Solving the Direct Kinematics of Parallel Manipulators With Extra Sensors.-A Special Type of Singular Stewart-Gough Platform.- A Smart Kinestatic Interactive Platform.- 12. Task and Motion Planning.- Strategic Collision Avoidance of Two Robot Arms in the Same Work Cell.- A Collision-Detection Scheme Based on Convex-Hulls Concept for Generating Kinematically Feasible Robot Trajectories.- Collision-Avoidance Robot Path Planning Using Fully Cartesian Coordinates.- Planning Grasp Points and Base Locations of Single Robots and Cooperating Robot Systems.- Vision-Based Robot Path Planning.- Author Index.

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