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Determination of tool point FRF of micro tools under operational conditions using analytical methods

Tool point Frequency Response Function (FRF) for micro tools cannot be measured using impact testing and modal analysis. In addition, micro machining operations are performed at high spindle speeds and due to the gyroscopic moments and centrifugal forces tool point FRF changes during machining operations. In this study, micro tools are modeled analytically including the fluted geometry of the tool and operational effects. Moreover, for the machining centers where spindle geometry is unknown, a new coupling method is proposed which enables to couple experimentally obtained idle spindle dynamics with analytically calculated rotating holder-tool dynamics.