ISSN:
1420-8997
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Let AoBo denote the base, AoA and BoB the arms of a plane four-bar linkage. It will be shown that the coupler-curve of A consists of a twice-counted circle ka and the pair of isotropic lines through Bo. Similarly for B. The coupler-curve of any point at infinity is the line at infinity, six-fold counted. This and other properties are found by assuming ka, kb not in the same plane, but in different parallel planes. Then AB will describe a ruled surface, which is studied in the general case (grade 6, genus 1, the double curve consisting of 3 conics and 1 plane cubic, with 12 torsal lines) and in several special cases. As for general spatial four-bar linkages, remarks are given in 4.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01917425
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