Abstract
This article investigates the meshing performance of planetary roller screws applying rollers with circular, elliptical, and parabolic threads. A mathematical model is established for the thread su...
Highlights
Planetary roller screws are a type of transmission device that can convert the rotation of a screw into the linear motion of the nut using threaded rollers as mediators
Previous research has been based on the assumption that the screws apply straight threads and the rollers apply circular threads,[4] and this assumption has ignored that the shape of the roller thread may have significant effects on the performance of a planetary roller screw
The transmission of a planetary roller screw relies on the external meshing of the screw thread and the threads of the roller, and this external meshing makes the position of the mesh point reside outside the plane determined by the screw and roller axes
Summary
Planetary roller screws are a type of transmission device that can convert the rotation of a screw into the linear motion of the nut using threaded rollers as mediators. The meshing position is very important for evaluating the meshing performance of a planetary roller screw[5] and is determined by the lead angle and the shape of the thread. Our team focuses on the meshing properties of planetary roller screw and has a deep base in calculating the meshing position of planetary roller screw.[7,8] This article raises the issue of applying thread shapes other than the commonly employed. The thread shape function is z1 = f (x1 ), and the homogeneous coordinates of a point P on the thread surface. Straight thread is widely used as the screw and nut thread in planetary roller screws because it is machined and achieves high working accuracy. Differentiating equation (9) with respect to u and u provides the following relationships
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