Effect of profile error on meshing state of planetary roller screw

The actual meshing state of Planetary Roller Screw will change, then the pre-setting meshing state could not be ensured and backlash or pre-tightening will appear, when the sizes of the tooth figure vary with the manufacture error. Therefore, a vector method is proposed to quantify meshing state of planetary roller screw, in order to precisely describe the meshing state. Using the relative position of Roller, Nut and Screw, the space meshing coordinate system is set up through coordinate transformation. The meshing vector equation of any parameters conditions of planetary screw pair, is deduced from the space meshing principle, and the meshing relationship of roller, screw and nut will be determined. Then the equation is solved by Newton-Raphson iterative algorithm, the precision of the solution is 10-15 millimeter, and the meshing state, backlash or interference can be quantified accurately. Based on this, the effect of the error of tooth figure, including arc radius of roller, helix angle, half angle of tooth figure and geometric pitch diameter for meshing state of planetary roller screw is discussed.