Abstract: The subject of this paper is the degree of the algebraic line complexes traced by mechanisms consisting of three connectivity-1 couplings arranged in series. A theorem which gives the degree ...

Abstract: A line-equation (in tangential coordinates) is derived for the envelope of a general straight line attached to the coupler of a planar hinged four-bar linkage. Since a line can be identified ...

Abstract: A number of theorems interrelating certain properties of the algebraic loci traced by some mechanisms are presented. The properties discussed are the algebraic-geometric concepts of order, class, ...

Abstract: In the broad category of couplings considered the two coupled bodies have either one or two relative degrees of freedom. Points, planes, and lines guided by such couplings trace a variety of ...

Abstract: Having established “feather” as an invariant property of algebraic couplings with connectivity 1, and of some with 2, many examples of its use are now given, in both planar and spatial motion, ...

Abstract: The properties of trochoids, as given in a theoretical companion paper, are here related to certain geared five-bar mechanisms. Specifically the degrees of the input-output equation for several ...

Abstract: Existing kinematic models for linkages fail to satisfy three criteria important for modeling an arthropod leg: (1) proportionality—changes in parameters should be proportional to changes in leg, ...