Enumeration of Basic Kinematic Chains Using the Theory of Finite Groups-Reference-Cited by-同舟云学术

Enumeration of Basic Kinematic Chains Using the Theory of Finite Groups

Published:1989-12-01 Issue:4 Volume:111 Page:498-503
ISSN:0738-0666
Container-title:Journal of Mechanisms, Transmissions, and Automation in Design
language:en
Short-container-title:

Author:

Tuttle E. R.¹,Peterson S. W.²,Titus J. E.³

Affiliation:

1. Department of Engineering, University of Denver, Denver, CO 80208

2. Department of Mechanical Engineering, Vanderbilt University, Nashville, TN 37235

3. Productivity Center, Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455

Abstract

A procedure for systematically and completely enumerating all nonfractionated planar kinematic chains having N links and F degrees of freedom has been developed. This procedure employs the theory of finite symmetry groups to eliminate isomorphic chains. The analysis of 8-, 9-, and 10-link chains having 1, 2, and 3 degrees of freedom, respectively, is presented as an example.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/111/4/498/5936775/498_1.pdf

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