A method for predicting the tool point frequency response of a tool-holder-spindle system is provided. Receptance coupling is used to analytically combine responses for the tool, holder, and spindle substructures and predict the assembly dynamics. The spindle response is determined using experimental procedures, while the holder and tool are modeled using Timoshenko beams. With the use of this method, predictions may be completed for micro scale end mills where impact testing is inconvenient. Experimental results are provided.

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