Analysis of Tool Oscillation and Hole Roundness Error in a Quasi-Static Model of Reaming
Analysis of Tool Oscillation and Hole Roundness Error in a Quasi-Static Model of Reaming
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铰孔准静态模型中刀具振动和孔圆度误差分析
DOI：
10.1115/1.1383551
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发表时间：
2001
影响因子：
4
通讯作者：
["P. Bayly
中科院分区：
文献类型：
--
作者：
["P. Bayly
开发了铰孔的准静态模型来解释切削过程中刀具的振动以及铰孔中由此产生的圆度误差。具有 N 个均匀间隔齿的刀具通常会加工出具有 N+1 或 N-1 凸角的孔。这些轮廓分别对应于工具以 N 周期/转的向前或向后旋转。有时也会看到其他旋转谐波（例如 2N 周期/转）。准静态模型的动机是观察到相对较大的振荡发生在远低于刀具固有频率的频率下，并且在这种情况下，孔轮廓的波长在很大程度上与切削速度和刀具固有频率无关。在准静态方法中，忽略惯性和粘性阻尼力，但系统保持动态，因为包括再生（延时）切割力和摩擦力。该模型产生了具有前向和后向旋转解决方案的特征值问题，该解决方案与实践中看到的工具行为非常相似。
A quasi-static model of reaming is developed to explain oscillation of the tool during cutting and the resulting roundness errors in reamed holes. A tool with N evenly-spaced teeth often produces holes with N+1 or N-1 lobes. These profiles correspond respectively, to forward or backward whirl of the tool at N cycles/rev. Other whirl harmonics (2N cycles/rev, e.g.) are occasionally seen as well. The quasi-static model is motivated by the observations that relatively large oscillations occur at frequencies well below the natural frequency of the tool, and that in this regime the wavelength of the hole profile is largely independent of both cutting speed and tool natural frequency. In the quasi-static approach, inertial and viscous damping forces are neglected, but the system remains dynamic because regenerative (time-delayed) cutting and rubbing forces are included. The model leads to an eigenvalue problem with forward and backward whirl solutions that closely resemble the tool behavior seen in practice.