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Receptance Coupling for High-Speed Machining Dynamics Prediction



T L. Schmitz, Timothy J. Burns


We apply receptance coupling techniques to predict the tool-point frequency response for high-speed machining applications. Building on early work of Duncan, Bishop and Johnson, and more recent work of Ewins, et al., we develop an analytic expression for the frequency response at the free end of the milling cutter from: 1) an analytic model of the tool; 2) an experimental measurement of the holder/spindle sub-assembly; and 3) a set of empirical connection parameters. These parameters are extracted from a single measurement of the tool/holder/spindle assembly at a known tool overhang length using nonlinear least squares estimation. The assembly model can then be used to predict changes in the tool-point receptance for setup variations, such as tool length. The resulting tool-point frequency response is used to calculate the associated stability lobe diagram, which defines regions of stable and unstable cutting zones as a function of chip width and spindle speed and is used to select appropriate machining parameters. A description of the receptance coupling method, as well as a discussion of the system model and selected connection parameters, are provided. Extensive experimental results are also presented.
Proceedings Title
Proceedings of IMAC-XXI: A Conference and Exposition on Structural Dynamics
Kissimmee, Fl
Conference Dates
February 3-6, 2003
Conference Location
Paper 19
Conference Title
International Modal Analysis Conference (IMAC XXI)


machining dynamics, modal analysis, receptance cupling, tool chatter, tool tuning


Schmitz, T. and Burns, T. (2003), Receptance Coupling for High-Speed Machining Dynamics Prediction, Proceedings of IMAC-XXI: A Conference and Exposition on Structural Dynamics, Paper 19, [online], (Accessed April 16, 2024)
Created January 31, 2003, Updated October 12, 2021