Abstract: Based on the self-directing mechanism, the loads and contact states of the guide pairs were analyzed. By using Hertz contact theory and the elastic-plastic contact deformation theory, the deformation model of self-directed pairs and the mathematical prediction mode of deep-hole axis deflections were established. Combined with the theoretical model and the drilling experiments, the contact states of the guide pairs in the drilling processes were determined. The influences of the hysteresis of guide bar and the workpiece materials on the axis deflections were studied. The research results show that the greater hysteresis, the greater axis deflections; the smaller stiffnesses of the material, the greater axis deflections.

Key words: deep-hole, axis deflection, elastic-plastic, self-directed pair, hysteresis

摘要： 基于自导向机理，分析了导向副的载荷以及接触状态，借助Hertz接触理论、弹塑性变形理论，建立了自导向副的变形模型以及深孔轴线偏斜的数学预测模型。结合理论模型和钻削实验确定了钻削过程中导向副的实际接触状态，并研究了导向条滞后量和工件材料对轴线偏斜的影响。研究表明：滞后量越大，轴线偏斜越大；材料刚度越小，轴线偏斜越大。

关键词: 深孔, 轴线偏斜, 弹塑性, 自导向副, 滞后量