The generation and design of cycloidal (trochoidal) gearing that have found application in Wankel engines, and Root’s blowers and pumps are considered.

The following topics will be covered: (i) the generation and geometry of planar cycloidal gearing and rotors of screw Root’s blowers, and (ii) an improved design that avoids profile and surface singularities.

Computer programs have been developed that support the proposed analytical solutions.

The developed theory is illustrated with examples.

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