Analytical Stability Prediction and Design of Variable Pitch Cutters
Analytical Stability Prediction and Design of Variable Pitch Cutters
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DOI：
10.1115/1.2831201
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发表时间：
1998-11
期刊：
影响因子：
--
通讯作者：
Y. Altintas;S. Engin;E. Budak
中科院分区：
文献类型：
--
作者：
Y. Altintas;S. Engin;E. Budak
本文提出了一种变螺距角铣刀稳定性凸角的解析预测方法。该方法需要切削常数，齿数，并安装在机床上的刀具的传递函数作为输入的颤振稳定性表达式。通过将时变定向切割常数转化为时不变常数，建立了系统的稳定性方程。将等间距刀具的常值再生时间延迟转化为变间距刀具的非均匀多重再生时间延迟。无颤振轴向切削深度由稳定性表达式的特征值求解，而主轴转速由再生相位延迟确定。所提出的技术已被广泛的切削试验和时域仿真验证。最佳齿间距设计应用程序，增加了无颤振切削深度显着的分析解决方案的实际使用证明。
An analytical prediction of stability lobes for milling cutters with variable pitch angles is presented. The method requires cutting constants, number of teeth, and transfer function of cutter mounted on the machine tool as inputs to a chatter stability expression. The stability is formulated by transforming time varying directional cutting constants into time invariant constants. Constant regenerative time delay in uniform cutters is transformed into non-uniform multiple regenerative time delay for variable pitch cutters. The chatter free axial depth of cut is solved from the eigenvalues of stability expression, whereas the spindle speed is identified from regenerative phase delays. The proposed technique has been verified with extensive cutting tests and time domain simulations. The practical use of the analytical solution is demonstrated by an optimal tooth spacing design application which increases the chatter free depth of cuts significantly.