A Family of Mixed Double-Goldberg 6R Linkages. In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 468, no. 2139, pp. 871-890, 2012.
Abstract
A complete family of double-Goldberg 6R linkages is reported in this article by combining a subtractive Goldberg 5R linkage and a Goldberg 5R 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 6R linkages. They all have one degree of freedom and their closure equations are derived in detail. One of them degenerates into a Goldberg 5R linkage. From the construction process and geometry conditions, the corresponding relationship between the newly found 6R linkages and the double-Goldberg 6R linkages, constructed from two Goldberg 5R linkages or two subtractive Goldberg 5R linkages, has been established.
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@article{Song2012AFamily,
title = {A Family of Mixed Double-Goldberg 6R Linkages},
author = {Chaoyang Song and Yan Chen},
doi = {10.1098/rspa.2011.0345},
year = {2012},
date = {2012-03-08},
urldate = {2012-03-08},
journal = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
volume = {468},
number = {2139},
pages = {871-890},
abstract = {A complete family of double-Goldberg 6R linkages is reported in this article by combining a subtractive Goldberg 5R linkage and a Goldberg 5R 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 6R linkages. They all have one degree of freedom and their closure equations are derived in detail. One of them degenerates into a Goldberg 5R linkage. From the construction process and geometry conditions, the corresponding relationship between the newly found 6R linkages and the double-Goldberg 6R linkages, constructed from two Goldberg 5R linkages or two subtractive Goldberg 5R linkages, has been established.},
keywords = {First Author, JCR Q1, Proc. Math. Phys. Eng. Sci. (RoyalSocA)},
pubstate = {published},
tppubtype = {article}
}
