Abstract
Based on the Lie-group-algebraic properties of the displacement set and intrinsic coordinate-free geometry, all general primitive generators of Schoenflies (X) motion are first outlined and then we synthesize Oldham-style constant-velocity shaft couplings (CVSCs) from these X-motion generators. Their constant velocity (CV) transmissions with homokinetic property are further verified by group-algebraic approach. Nine general CVSCs are creatively proposed for the potential application of transmitting the uniform motion between two parallel axes with a constant or variable distance. Seven simpler general ones with one cylindrical pair are introduced too. Four special findings derived from them are recommended for easy uses.
