Characterization and stability analysis of a multivariable milling tool by the enhanced multistage homotopy perturbation method

This work deals with the characterization of a three stage multivariable tool used for high-performance milling and the modelling of its dynamic behaviour to predict the stability against chatter. The influence of the variable pitch, variable helix and variable rake angle on each cutting edge of the tool is modeled to calculate the stability lobes diagrams. The proposed approach includes a mechanistic milling forces model and a cutting coefficients characterization procedure along with a modification of the Enhanced Multistage Homotopy Perturbation Method (EMHPM) to capture the multivariable phenomena of the tool in stability prediction, resulting in an accurate method to reproduce the regenerative vibration problem in end milling. Experimental data is provided to validate the followed approach for this new tool concept. (c) 2012 Elsevier Ltd. All rights reserved.