The input—output function of an RCCC mechanism is investigated systematically by using the Fourier series method in this article. The relationship between the harmonic component of the input—output function and the dimensions of the RCCC mechanism is established. Based on this relationship, the basic dimensional type of the RCCC mechanism is determined. The problem of function synthesis of the RCCC mechanism is solved by setting up the numerical atlas database, which comprises 50 million basic dimensional types, and given the concrete steps of the function generator. Finally, an example is given to show the feasibility and the validity of this approach.
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