Burmester Lines of Spatial Five Position Synthesis from the Analysis of a 3-CPC Platform

Author(s)

Andrew P. Murray, University of DaytonFollow
J. Michael McCarthy, University of California, Irvine

Document Type

Article

Publication Date

3-1999

Publication Source

Journal of Mechanical Design

Abstract

This paper presents a new technique for determining the fixed axis for a spatial CC chain that guides a rigid body through five finitely separated positions, termed a Burmester Line. It is known that there can be as many as six Burmester lines for a given set of five spatial positions. Here we show that these six lines can be obtained from the analysis of a 3-CPC platform, constructed from relative screw axes associated with the five specified displacements. The screw axes of the displacement of this platform to each of its assemblies are the desired Burmester lines. Roth’s original example is presented to verify the calculations.

Inclusive pages

45-49

ISBN/ISSN

1050-0472

Comments

Permission documentation is on file.

The support of National Science Foundation grant DMI- 9321936 is gratefully acknowledged.

Copyright

Copyright © 1999, American Society of Mechanical Engineers

Publisher

American Society of Mechanical Engineers

Volume

121

Issue

1

Peer Reviewed

yes

Sponsoring Agency

National Science Foundation

eCommons Citation

Murray, Andrew P. and McCarthy, J. Michael, "Burmester Lines of Spatial Five Position Synthesis from the Analysis of a 3-CPC Platform" (1999). Mechanical and Aerospace Engineering Faculty Publications. 188.
https://ecommons.udayton.edu/mee_fac_pub/188