考虑陀螺效应的铣削颤振分析1)

FLUTTER ANALYSIS OF MILLING WITH CONSIDERATION OF GYROSCOPIC EFFECT1)

  • 摘要: 主要研究主轴旋转过程中产生的陀螺效应对切削颤振稳定性边界的影响。基于一种旋转下的主轴、刀杆和刀具模型,采用欧拉\!-\!-\!伯努利悬臂梁理论获得考虑陀螺效应的切削系统的传递函数。在此基础上,探究了考虑陀螺效应的高速切削系统的稳定性。结果表明,陀螺效应改变了高速铣削的临界切削深度。并且在考虑陀螺效应的情况下,刀具齿数越多临界切削深度越小,降低系统刚度将减小临界切削深度,增大系统阻尼比将增大临界切削深度。

     

    Abstract: The influence of the gyroscopic effect produced by the spindle rotation on the cutting chatter stability boundary is studied in this paper, based on a rotating model of the spindle, the tool holder and the tool. In the model, the Euler-Bernoulli cantilever beam theory is adopted to obtain the transfer function of the cutting system with consideration of the gyroscopic effect, as well as to determine the stability of the high speed cutting system.The results show that the gyroscopic effect affects the critical cutting depth of the high speed milling. With the consideration of the gyroscopic effect, when the tooth number of the tool increases, the critical cutting depth decreases. Meanwhile, the critical cutting depth decreases with the decrease of the stiffness of the system and the damping ratio of the system.

     

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