A Note on Determination of Center of Disk-Cam Curvature

摘要
While the Euler-Savary equation (ESE) has been extensively utilized to locate the center of curvature of the coupler point of planar linkages, comparatively little research has attempted to determine the center of curvature of the disk-cam profile using the ESE. The obstruction of applying the ESE to determine the center of curvature of the disk-cam profile results from the burdensome accessibility of the inflection circle describing the relative motion between the cam and the follower. Therefore, in this paper, we intend to fill the void by introducing Hall’s derivation (Hall in Kinematics and linkage design, Prentice Hall, Hoboken, 1961) for constructing the inflection circle. In addition, the concept of the equivalent linkage is applied to better visualize the conjugate points pairs in the cam mechanism. With the inflection circle obtained from the presented approach, the ESE can advantageously be applied to locate the conjugate point for the center of curvature of the follower’s face, which is the center of curvature of the disk cam profile.