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Title
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A general graphical procedure for finding motion centers of planar mechanisms
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Author
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Abstract
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| 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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Language
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English
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Source (journal)
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Advances in applied mathematics. - New York
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Publication
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New York
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2007
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ISSN
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0196-8858
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DOI
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10.1016/J.AAM.2006.07.005
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Volume/pages
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38
:4
(2007)
, p. 419-444
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ISI
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000245905400001
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Full text (Publisher's DOI)
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