Rotary machine with hub driven transmission articulating a four bar linkage

A rotary machine, comprising:

• a) a housing defining an inwardly facing continuously curved surface;
• b) front and rear side plates attached to the housing;
• c) a central shaft defining a central axis A, the shaft having a first end and a second end;
• d) a first hub disposed on the central shaft, the first hub having a body with a volume generally defined between front and rear surfaces that are spaced apart along the central shaft, at least a portion of the first hub being situated axially between the front and rear side plates;
• and
• e) at least one contour assembly pivotally coupled to the first hub in a plurality of discrete locations, the at least one contour assembly being defined at least in part by a convex radially outwardly facing surface, the convex radially outwardly facing surface of the at least one contour assembly, front and rear side plates and the inwardly facing continuous curved surface of the housing cooperating to form at least one working volume that changes in volume as the central shaft rotates about the central axis A, wherein the at least one contour assembly is coupled to the first hub by way of a plurality of linkages, a radially inward end of each linkage of the plurality of linkages being pivotally coupled to the first hub, and a radially outward end of each linkage of the plurality of linkages being pivotally coupled to the at least one contour assembly, wherein the plurality of linkages, the first hub, and the at least one contour assembly cooperate to form a four-bar linkage, wherein the first hub includes a first gearbox that is coupled to the at least one contour assembly by the plurality of linkages in a trapezoidal arrangement.