Kinematic Analysis Of Robot Manipulators
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Kinematic Analysis of Robot Manipulators
Author: Carl David Crane
language: en
Publisher: Cambridge University Press
Release Date: 1998-03-28
Introduction to robot manipulators, with case studies of industrial robots.
Inverse Kinematic Analysis of Robot Manipulators
Computer controlled robot manipulators are becoming an important part of automated manufacturing plants thereby creating a need for reliable and fast control algorithms that can improve the performance of robot manipulators in industrial applications. An important part of such control algorithms is the inverse kinematics portion which consists of computing the values of the robotic joint variables corresponding to a desired and effector position and orientation. This work is based on a new approach that uses orthogonality of rotation matrices to reduce the problem to a simpler form. The reduction techniques are first used to analyze to the kinematics of four-degree-of-freedom (DOF) robots. The results obtained are then applied to the study of five- and six-degree-of-freedom manipulators. Fast one-and two-dimensional numerical techniques for solving five- and six-DOF arms of arbitrary geometry are developed. These new methods provide a large reduction in computational complexity and can be easily implemented in real-time applications. another contribution of this work is a classification of robot geometries in terms of inverse kinematic complexity. Some new sufficient structural conditions for the possibility of closed-form solutions for five- and six-DOF robot manipulators are described. In the case of six-DOF arms, structural conditions for the applicability of a one-dimensional iterative technique are also provided. Finally, in the example applications of the techniques presented here, we describe a six-degree-of freedom manipulator capable of achieving a particular end-effector pose in sixteen distinct configurations.
Dynamic Analysis of Robot Manipulators
Author: Constantinos A. Balafoutis
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
The purpose of this monograph is to present computationally efficient algorithms for solving basic problems in robot manipulator dynamics. In par ticular, the following problems of rigid-link open-chain manipulator dynam ics are considered : i) computation of inverse dynamics, ii) computation of forward dynamics, and iii) generation of linearized dynamic models. Com putationally efficient solutions of these problems are prerequisites for real time robot applications and simulations. Cartesian tensor analysis is the mathematical foundation on which the above mentioned computational algorithms are based. In particular, it is shown in this monograph that by exploiting the relationships between second order Cartesian tensors and their vector invariants, a number of new tensor vector identities can be obtained. These identities enrich the theory of Carte sian tensors and allow us to manipulate complex Cartesian tensor equations effuctively. Moreover, based on these identities the classical vector descrip tion for the Newton-Euler equations of rigid body motion are rewritten in an equivalent tensor formulation which is shown to have computational advan tages over the classical vector formulation. Thus, based on Cartesian tensor analysis, a conceptually simple, easy to implement and computationally efficient tensor methodology is presented in this monograph for studying classical rigid body dynamics. XlI Application of this tensor methodology to the dynamic analysis of rigid-link open-chain robot manipulators is simple and leads to an efficient fonnulation of the dynamic equations of motion.