A new approach for generation of functions based on application of a multi-gear drive is proposed. The approach provides solution to the functional Ψ(α) = gn(gn−1(⋯(g1(α)))) wherein Ψ(α) is the function assigned for generation and gi(α), i = 1,⋯,n, is the transmission function of pair i of conjugated non-circular gears. The specifics characteristics of the proposed approach are: (a) integrated impact by application of n synchronized gear drives, (b) favourable shape of centrodes, and (c) observation of limits of pressure angle. The developed theory is illustrated with several detailed numerical examples.

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