A family of mixed double-Goldberg 6
R
linkages
2011 ◽
Vol 468
(2139)
◽
pp. 871-890
◽
Keyword(s):
A complete family of double-Goldberg 6 R linkages is reported in this article by combining a subtractive Goldberg 5 R linkage and a Goldberg 5 R linkage through the common link-pair or common Bennett-linkage method. A number of distinct types of overconstrained linkages are built, namely the mixed double-Goldberg 6 R linkages. They all have one degree of freedom and their closure equations are derived in detail. One of them degenerates into a Goldberg 5 R linkage. From the construction process and geometry conditions, the corresponding relationship between the newly found 6 R linkages and the double-Goldberg 6 R linkages, constructed from two Goldberg 5 R linkages or two subtractive Goldberg 5 R linkages, has been established.