Continuous Model for Analytical Predictionof Chatter in Milling with Long, SlenderEndmills

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In milling operations with long, slender endmills, it is verified that most of the deflections encountered during machining were concentrated in the tool [41]. Hence spindle/holder assembly can be assumed quite rigid. Continuous model is comprised of an Euler-Bernoulli beam and a set of translational and torsional springs and dampers which represent the tool and tool/holder interface, respectively. Since the interface parameters don’t changed when tool length is altered in tool tuning case, the need for FRF measurement for each tool length will be omitted by using continuous model in predicting stability lobes. Moreover, this model is an effective tool for studying the influence of micro slip, as a nonlinear effect at tool/holder interface, on chatter vibrations. The stable regions predicted by continuous model are in good agreement with those computed by lumped parameter model.

198938

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