A new mechanism, which we have called the generalized Oldham coupling, has been described. With a circular-arc construction for its projections and grooves, the coupling has been shown to be analyzable in terms of an equivalent drag linkage, which is generally much larger than the coupling. The kinematic analysis of the coupling, including sliding motions, has been given and general considerations regarding transmission-angle optimization and dynamic equivalence have been pointed out. The application of the coupling to phase changing is reviewed and a general form of construction involving rollers has been described and shown to yield a phase-changing capability of a very general nature.

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