The calculation of a gear train, if the concept is given (resolution of the direct problem) never poses fundamental problems, but is no help in its invention. The inverse problem (i.e., conception of a gear train if the kinematics are fixed) having never been approached in an analytical way, we propose, from the general formula of the ratios, one equation which allows us to resolve the inverse problem for every elementary or two-set nested gear train.
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Mathis et al. (1999) studied this question.
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