Title
A general graphical procedure for finding motion centers of planar mechanisms A general graphical procedure for finding motion centers of planar mechanisms
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
New York ,
Subject
Mathematics
Source (journal)
Advances in applied mathematics. - New York
Volume/pages
38(2007) :4 , p. 419-444
ISSN
0196-8858
ISI
000245905400001
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
For an infinitesimal motion of a given planar mechanisms we can consider a relative motion center for each pair of rigid components. The location of these relative centers is completely determined for mechanisms with only one internal degree of freedom. We give a graphical procedure to find all relative centers for such a mechanism in a given (non-singular) position, and give an inductive proof that it is general (by means of Henneberg sequences). Besides the known intersection techniques with AronholdKennedy lines and center lines of 2-dof subframeworks, we make use of a classical geometric construction due to J. Baracs. We also show how a graphical procedure for relative centers can be used to find new geometric descriptions for the special positions of some isostatic frameworks.
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