Stability of Interrupted Cutting by Temporal Finite Element Analysis
Stability of Interrupted Cutting by Temporal Finite Element Analysis
复制标题
DOI：
10.1115/1.1556860
复制
发表时间：
2003-05
影响因子：
4
通讯作者：
P. Bayly;J. Halley;B. Mann;M. Davies
中科院分区：
文献类型：
--
作者：
P. Bayly;J. Halley;B. Mann;M. Davies
铣削和其他断续切削操作中的颤振发生在与连续切削中的颤振不同的速度和切削深度组合下。间断切削稳定性的预测由于两个事实而变得复杂：（1）切削时的运动方程与刀具自由时的运动方程不同;（2）刀具处于切削状态时没有精确的解析解。这些问题通过将自由响应与在白色刀具切削时有效的近似解相匹配来克服。一个近似的解决方案，不限于小的时间在切割，通过应用有限元的时间。完整的组合解以离散映射的形式表示，该映射将每个元素开始和结束时的位置和速度与前一个周期的相应值联系起来。线性化映射的特征值用于确定稳定性。该方法可用于预测任意时间的切削稳定性;当前方法仅适用于单个自由度。通过实验验证了1自由度情况下的稳定性预测。
Chatter in milling and other interrupted cutting operations occurs at different combinations of speed and depth of cut from chatter in continuous cutting. Prediction of stability in interrupted cutting is complicated by two facts: (1) the equation of motion when cutting is not the same as the equation when the tool is free; (2) no exact analytical solution is known when the tool is in the cut. These problems are overcome by matching the free response with an approximate solution that is valid white the tool is cutting. An approximate solution, not restricted to small times in the cut, is obtained by the application of finite elements in time. The complete, combined solution is cast in the form of a discrete map that relates position and velocity at the beginning and end of each element to the corresponding values one period earlier. The eigenvalues of the linearized map are used to determine stability. This method can be used to predict stability for arbitrary times in the cut; the current method is applicable only to a single degree of freedom. Predictions of stability for a 1-degree of freedom case are confirmed by experiment.