The invention provides a tooth trace pure rolling gear rack
mechanism based on an elliptic tooth profile combination function, and relates to the technical field of
gear transmission, the tooth trace pure rolling gear rack mechanism comprises a gear and a rack, the end face tooth profile of the gear and the rack is composed of an end face working tooth profile curve and a
tooth root transition curve, and the end face working tooth profile curve of the gear and the
tooth root transition curve is an elliptic function. The tooth surfaces of the gear and the rack have arc
tangent function and elliptic function combined tooth line structures, and control points are set for smooth connection; at least one pair of
gear tooth meshing points of the gear and the rack are located at nodes to achieve pure rolling meshing contact, and meshing lines formed by moving tracks of the meshing points of the gear and the rack respectively form two combined function contact lines on the tooth surfaces of the gear and the rack. The method has the beneficial effects that two functions are smoothly connected at a specific
control point by setting the specific
control point to form a combined tooth line, so that the
axial force is eliminated, and the service life of the bearing is favorably prolonged.