In order to obtain the uniform and consistent texture structure on the surface of the outer workpieces and reduce the frictional resistance during the movement of the workpieces,the oilstone was designed by three kinds of abrasive grain arrangement,included phyllotactic,array and staggered pattern.The oilstone sinusoidal oscillation method was used to outer cylindrical workpiece superfinishing.Kinematics simulation was carried out by using MATLAB software,the kinetics trajectories of three kinds of grain ordered arrangement and the appearance rules of superfinishing cylindrical workpieces structured surface were obtained.The results show that the structural surface with uniform arrangement can be produced by using the sinusoidal oscillation of the oilstone with abrasive ordered arrangement.In the abrasive phyllotactic pattern,when the ratio of the amplitude to the phyllotactic coefficient of the grain arrangement is 1.482 1,the plateaus area of the workpiece surface is approximately equal,and the texture is uniform;under these conditions,increasing the amplitude and the phyllotactic coefficient,the texture density is reduced,and a single platform area is increased.The abrasive grain phyllotactic pattern is more fully ground than array arrangement and staggered arrangement,and the platform area is more even