Prediction of stability in boring using a multistep tool

This article presents an original study about the dynamic of a machining operation based on the coupling receptance methodology. The Frequency Response Function (FRF) of a machine tool is numerically coupled with the FRF matrix of a multi-stage reaming tool in order to predict its dynamic behavior during the operation. This coupling results in a mix of measured and numerical FRF matrix and is used for solving the stability prediction of the operation with an analytical methodology. Stability lobes are computed in respect with the load factor. It is shown in the paper that this methodology is suitable for adjusting the cutting conditions in the case of a given operation where the tool is identified but also for a numerical model of a tool, for instance at a design stage. As a conclusion, the presented methodology can help to target the best cutting conditions for a given machine-tool and toll but also help the manufacturer in the tool choice or design in order to guaranty the stability of the operation.