Abstract
The chapter examines the subspaces of a space spanned by three twists (or wrenches) with finite pitches and linearly independent directions. The main result is the complete characterization of all cylindroids nested within a general three-system of screws. The findings are illustrated by means of the prestereographic model of three-dimensional projective space, which allows to faithfully represent the screws of a three-system, with their pitches and axis locations, by the surface of a sphere.
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CITATION STYLE
Carricato, M., & Zlatanov, D. (2014). Characterization of the Subsystems in the General Three-System of Screws. In Advances in Robot Kinematics (pp. 253–261). Springer International Publishing. https://doi.org/10.1007/978-3-319-06698-1_27
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