This paper presents a multi-stage least-square identification method for the characterization of machine-tool structure dynamics. The Hammerstein model, which consists of a nonlinear gain and a linear subsystem, is used to characterize the structure dynamics in dynamic cutting processes. The proposed separable model makes possible the extraction of gain, phase and other modal parameters directly from input and output sequences. The nonlinear relationship between the cutting forces and the response amplitude is identified through the nonlinear gain model. One simulation case and one practical application example are illustrated. As compared to the measured frequency response data, the results of the NLGAINV modeling are found consistent and satisfactory.
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