基于分形理论的热装HSK刀柄-刀具结合面接触刚度模型

A contact stiffness model for shrink-fit HSK holder-tool joint based on fractal theory

  • 摘要: 为准确获得热装HSK刀柄-刀具结合面动力学参数,提出一种基于分形理论的热装HSK刀柄-刀具结合面接触刚度计算模型。根据赫兹接触和分形几何理论,推导了一般平面结合面接触刚度与接触载荷之间的数学关系,在获得热装HSK刀柄-刀具结合面接触载荷分布的基础上,考虑热装HSK刀柄-刀具结合面接触的特殊形式,建立其结合面接触刚度的理论计算模型。通过敲击实验可发现,基于该计算模型的第一阶固有频率的相对预测误差为0.48%,验证了模型的有效性。分析了热装过盈量、刀具夹持长度和主轴转速等因素对结合面接触特性的影响规律。结果表明,热装过盈量和刀具夹持长度与结合面接触载荷和接触刚度之间近似呈线性比例关系,转速会削弱结合面的接触作用,在高转速条件下,降低效果更明显。研究结果为合理装配和使用热装HSK刀柄-刀具结构提供理论依据。

     

    Abstract: In order to accurately obtain the dynamic parameters of the shrink-fit HSK holder-tool joint, a fractal theory based model to calculate the contact stiffness of the shrink-fit HSK holder-tool joint was proposed. The relationship between the normal contact force and the contact stiffness was deduced according to the Hertz contact theory and fractal geometry theory. Based on the finite element analysis, the contact force distribution of the shrink-fit HSK holder-tool joint was obtained. Considering the special contact form, a theoretical model for the contact stiffness of the shrink-fit HSK holder-tool joint was established. Through impact experiments, it can be found that the relative prediction error for the first order natural frequency based on this model is 0.48%, which verifies the effectiveness of the proposed model. The effect of radial interference, tool insertion length and rotational speed on contact behaviors between the shrink-fit HSK holder-tool joint was investigated. The results show that there are approximate linear proportional relationships between the radial interference, tool insertion length and the contact force and contact stiffness. Moreover, rotational speed weakens the contact effect of the joint, and the weakening effect is more obvious under high rotational speed conditions. These results can provide a theoretical basis for assembling and adopting the shrink-fit HSK holder-tool structures.

     

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