The onset of chatter vibration in milling operations will result in poor surface finish and low machining productivity. Hence, it is of crucial importance to predict and eliminate this undesirable instability. In this paper, an Adams–Simpson-based method is developed for the stability analysis of milling processes. The regenerative chatter for milling operations can be described by delay differential equations with time-periodic coefficients. After dividing the forced vibration time interval equally into small time intervals, the Adams–Moulton method and the Simpson method are adopted to construct the Floquet transition matrix over one tooth passing period. On this basis, the milling stability can be obtained by using the Floquet theory. The accuracy and efficiency of the proposed method are verified through two benchmark examples, in which comparisons with the first-order semi-discretization method and the Adams–Moulton-based method are conducted. The results demonstrate that the proposed method has both high computational efficiency and accuracy, thus it is of high industrial application value.
The International Journal of Advanced Manufacturing Technology – Springer Journals
Published: Mar 7, 2017
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
All the latest content is available, no embargo periods.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud