An improved numerical integration method for predicting milling stability with varying time delay
An improved numerical integration method for predicting milling stability with varying time delay
复制标题
一种改进的数值积分方法，用于预测变化时滞的铣削稳定性
DOI：
10.1007/s00170-013-4813-4
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发表时间：
2013-10-01
影响因子：
3.4
通讯作者：
Hu, Jun
中科院分区：
文献类型：
--
作者：
Liang, Xin-Guang;Yao, Zhen-Qiang;Hu, Jun
变时间延迟（VTD）在控制低速径向浸入式铣削颤振状态中起着重要作用。同时，数值积分法（NIM）已被证明是一种高效的方法，在预测铣削稳定性波瓣图（SLD），恒定的时间延迟（CTD）应假设为一个齿通过周期。本文提出了一种改进的数值积分方法，重点研究了如何将这种有效的数值积分方法推广到低径向浸入式铣削中必须考虑VTD的情况。基于VTD的等价描述，构造了一个偏移矩阵来修正Floquet转移矩阵。因此，SLD和系统振荡的分布可以与VTD的效果同时更新。介绍了一种低径向浸入式铣削的颤振激励试验方法，通过对铣削表面结构的分析，直接提取SLD，直观地揭示了SLD的叶瓣漂移效应。将提取的SLD与预测值进行比较，验证了所提出的INIM的准确性，因为它能够弥补传统NIM与CTD之间的差距。通过与已发表文献中提供的周边铣削测试进行比较，也验证了所提出的INIM的改进。
Varying time delay (VTD) plays an important role in governing the state of chatter vibration in low radial immersion milling. Meanwhile, numerical integration method (NIM) has been proven a highly efficient method in predicting milling stability lobe diagram (SLD) where a constant time delay (CTD) should be assumed as one tooth passing period. In this paper, an improved numerical integration method (INIM) is proposed, focusing on how to extend this efficient method to the condition that VTD has to be considered in low radial immersion milling. Based on an equivalent description of VTD, an offset matrix is constructed to modify the Floquet transition matrix. Thus, the distributions of SLD and system oscillations can be updated simultaneously with the effect of VTD. Then, a chatter excitation test (CET) method for low radial immersion milling is introduced so that SLD can be extracted directly by analyzing the machined surface structure, and the lobe-drifting effect of the SLD can be revealed visually. Comparing the extracted SLDs with the predictions, the accuracy of the proposed INIM can be validated due to the capability of bridging the gap between the lobe-drifting effect and VTD, while the traditional NIM with CTD is powerless. The improvement of the proposed INIM has also been validated by comparing with a peripheral milling test provided in a published literature.