A Geared 2-dof Mechanical Function Generator

Abstract

A variable-non-circular gear pair is introduced to achieve 2-dof (degree of freedom) function generation. Included is a mechanism where two independent input parameters (angular positions) uniquely determine the angular position of an output axis. Basic kinematic relationships necessary to parameterize the variable noncircular gear pair are presented. The mobility of the mechanism is considered by addressing the kinematic structure of the mechanism. An illustrative example is included where the functional requirements are specified and a graphical display of the corresponding variable-non-circular gears used to satisfy these requirements is presented.