On the Metrics of Rigid Body Displacements for Infinite and Finite Bodies-Reference-Cited by-同舟云学术

On the Metrics of Rigid Body Displacements for Infinite and Finite Bodies

Published:1995-03-01 Issue:1 Volume:117 Page:41-47
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Martinez J. M. R.¹,Duffy J.²

Affiliation:

1. Departamento de Ingenieri´a Meca´nica, Instituto Tecnolo´gico de Celaya Av. Tecnolo´gico 2002, 38000 Celaya, Gto. Me´xico

2. Center for Intelligent Machines and Robotics, Department of Mechanical Engineering, University of Florida, Gainesville, FL 32611

Abstract

This paper presents a critical analysis of the metric of rigid body displacements obtained from the so-called kinematic mapping. It is shown that this metric is not suitable for finite rigid bodies. The paper also addresses the metrics obtained for the planar group, as it can be regarded as a subgroup of the group of all rigid body displacements, which is denoted here as the Euclidean group. Finally, the paper proposes some metrics for the set of spatial and planar displacements for a finite rigid body, undergoing a finite displacement.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/117/1/41/5633694/41_1.pdf

Reference21 articles.

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