A new model of cutting process is developed in order to simplify modelling and gain a further insight into the mechanics of frictional chatter. It is based on the well known Rayleigh oscillator generating self-excited oscillations and has been applied to the shaping/planning operation. The new approach which takes into account also the forces acting on the tool flank is compared with the one developed by Wiercigroch and Krivtsov . The results obtained here are alike to a certain degree but some of them show some different trends. Nonlinear dynamic behaviour is examined by bifurcation diagrams with cutting velocity and specific cutting force coefficient as the bifurcation parameters. The effect of the the tool stiffness variation in the directions parallel and perpendicular to the workpiece has been investigated. Some practical results unveiling stabilizing effects of the friction force on the tool flank have been shown.
This work was carried out under the Project of Polish National Science Centre according to decision no. DEC-2011/01/B/ST8/07504 and under the grant of European Union FP7-REGPOT-2009-1 agreement No. 245479. Partially was financially supported by Integrated Regional Development Operational Programme as the project POIG.0101.02-00-015/08 and also MW and PW thank the Royal Academy of Engineering for financial support through a major award for exchange visits between UK and India.
- Cutting process
- Dry friction