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提出一种宏微观相结合的方法建立高转速下主轴-刀柄系统结合部接触刚度模型.宏观上假设主轴-刀柄结合面为理想圆锥面,通过有限元方法获得不同转速下锥形表面的接触压强分布;微观上假设接触表面由微凸体构成,并基于接触压强采用考虑域拓展因子影响的三维分形模型计算锥形结合部的接触刚度.以BT40刀柄为研究对象,其无转速工况下主轴-刀柄系统理论预测与实验频响函数一致性较好,在此基础上分析转速及拉刀力对结合部刚度影响规律,确定了转速极限值为1.5×10~4 r/min,拉刀力合理取值范围为[8,12]kN,研究结果为主轴-刀柄系统的结构优化及应用提供理论基础.
A macroscopic and microcosmic combination method is proposed to establish the contact stiffness model of the joint between the spindle and the shank system at high rotational speed. The macroscopic assumption is that the coupling surface between the main shaft and the tool holder is an ideal conical surface and the conical surface Contact pressure distribution is microscopically assumed. The contact surface is composed of asperities and the contact stiffness of conical junction is calculated based on the contact pressure using the three-dimensional fractal model which takes into account the influence of domain expansion factor.Based on BT40 shank, Under the same condition, the theory of spindle-shank system is in good agreement with the experimental frequency response function. Based on this analysis, the influence of rotation speed and pulling force on the stiffness of the joint is analyzed. The limit value of rotation speed is 1.5 × 10 ~ 4 r / min , The reasonable range of tensile force is [8,12] kN, the research results provide the theoretical basis for the structural optimization and application of the spindle-shank system.