Title 



A general graphical procedure for finding motion centers of planar mechanisms
 
Author 



 
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 (nonsingular) 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 2dof 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.   
Language 



English
 
Source (journal) 



Advances in applied mathematics.  New York  
Publication 



New York : 2007
 
ISSN 



01968858
 
Volume/pages 



38:4(2007), p. 419444
 
ISI 



000245905400001
 
Full text (Publisher's DOI) 


  
