滚珠丝杠冷滚打的齿形理论误差研究

Investigation of the Tooth Profile Error Based on the Forming Theory of Balloscrew Manufactured by Cold Rolling

丝杠冷滚打加工打破了传统的材料"去除"式加工方法存在的局限,具有高效,节能、节材及产品耐磨性好、使用寿命长等优点。依据微分几何和啮合原理,建立了滚珠丝杠冷滚打过程中齿面啮合模型和理论误差模型,给出了啮合面的接触线函数,揭示了滚珠丝杠冷滚打过程中滚打轮和工件的相对运动关系,为滚打轮的正确设计奠定了基础。通过理论计算与仿真分析,对滚珠丝杠冷滚打的齿形误差和滚珠中心轨迹螺旋线误差进行研究,分析了误差产生的原因并给出了相应的解决方法。利用自行设计的滚打装置进行丝杠冷滚打试验,试验得到的实际加工轮廓线和理论接触线基本重合,对丝杠冷滚打精确成形提供了参考依据。

The traditional material removal machining method of ballscrews was broken by cold roll-beat- ing. The cold roll-beating method has the advantages of high efficiency, energy conservation and saving in material. The products processed by the proposed method have high wear resistance and long service life. According to differential geometry and meshing theory, the meshing model and theoretical error mod- el are constructed for the cold roll-beating of ballscrews, and the function of contact line is provided for meshing surface. The relative movement between roller and workpiece is revealed by analyzing the mes- hing model and the contact line. The profile errors of the gear tooth and the actual helix of the center track of ball are investigated by theoretical calculation and simulation, the causes of errors are analyzed, and the corresponding solutions are given. A self-developed cold roll-beating experimental device is used for cold roll-beating experiment of lead screws. The experimental results show that the actual machining contour line overlaps with the theoretical contact line.